Mask Compliance Audit — Mathematical Proof

Each rendered text line's bounding box is computed from first principles using the exact same coordinate math as initiateLetterDelivery.js. Every pixel is checked against the mask band at that Y position. Success criterion: 0 lines outside mask.

Diagram legend: Green zones = mask-allowed writable bands  | Blue boxes = rendered text bounding boxes  | Red = violations  |  White area = canvas background (outside mask = protected artwork region)
Angel at Desk (null templateId) — LB / large❌ 22 VIOLATION(S) DETECTED
Geometry
Canvas (scaled)800×593px
Pages rendered5
Total lines simulated67
Font / sizeLibre Baskerville / 16pt
Line height25pt
Para spacing10pt
Vertical Bounds
Highest mask band starts (top-down)106.2px
Lowest mask band ends (top-down)440.3px
Lowest rendered Y (baseline, top-down)455.0px
Y within mask?❌ No — OVERFLOW
Compliance Summary
Total lines67
Compliant lines45
Violating lines22
Pct outside mask32.84%
Violating paragraphspara 0, para 1, para 2, para 3, para 4, para 5, para 6
Signature block✅ Compliant
Mask Bands (on scaled canvas)
BandY startY endLeft pxRight pxWidth px
1106.2281.2448.4763.5315.1
2281.2440.3491.9763.5271.6
Debug artifact: background | mask bands (green) | text bounding boxes (blue) | violations (red)
mask 1mask 2
Scale: 45% | Canvas: 800×593px
Violation Detail (22 lines)
p1 · para 0 · OUTSIDE_VERTICAL_ZONE
Y=99.0 is not within any mask band (canvas: 0–593)
"My dearest one,"
p1 · para 1 · LEFT_OVERFLOW
Text starts at x=443.0, mask allows left=448.4
"If you are reading these words, then the"
Overflow: 5.4px
p2 · para 2 · OUTSIDE_VERTICAL_ZONE
Y=54.0 is not within any mask band (canvas: 0–593)
"from the very beginning —"
p2 · para 2 · OUTSIDE_VERTICAL_ZONE
Y=79.0 is not within any mask band (canvas: 0–593)
"always asking why, always"
p2 · para 2 · OUTSIDE_VERTICAL_ZONE
Y=104.0 is not within any mask band (canvas: 0–593)
"pulling at the edges of things"
p2 · para 2 · LEFT_OVERFLOW
Text starts at x=440.0, mask allows left=448.4
"to see what was underneath."
Overflow: 8.4px
p2 · para 3 · OUTSIDE_VERTICAL_ZONE
Y=455.0 is not within any mask band (canvas: 0–593)
"ordinary goodness of the days."
p3 · para 3 · OUTSIDE_VERTICAL_ZONE
Y=54.0 is not within any mask band (canvas: 0–593)
"Breakfast at the kitchen table. The"
p3 · para 3 · OUTSIDE_VERTICAL_ZONE
Y=79.0 is not within any mask band (canvas: 0–593)
"sound of the door opening when"
p3 · para 3 · OUTSIDE_VERTICAL_ZONE
Y=104.0 is not within any mask band (canvas: 0–593)
"you came home. The particular"
p3 · para 3 · LEFT_OVERFLOW
Text starts at x=440.0, mask allows left=448.4
"way you laugh when something"
Overflow: 8.4px
p3 · para 4 · OUTSIDE_VERTICAL_ZONE
Y=455.0 is not within any mask band (canvas: 0–593)
"believe that because of you."
p4 · para 5 · OUTSIDE_VERTICAL_ZONE
Y=54.0 is not within any mask band (canvas: 0–593)
"You have a gift for seeing people as they"
p4 · para 5 · OUTSIDE_VERTICAL_ZONE
Y=79.0 is not within any mask band (canvas: 0–593)
"actually are, not as they present themselves or"
p4 · para 5 · OUTSIDE_VERTICAL_ZONE
Y=104.0 is not within any mask band (canvas: 0–593)
"as the world has decided to label them. That is"
p4 · para 5 · LEFT_OVERFLOW
Text starts at x=440.0, mask allows left=448.4
"rarer than you know. I have watched you"
Overflow: 8.4px
p4 · para 5 · RIGHT_OVERFLOW
Text ends at x=789.4, mask allows right=763.5
"generous spirit. Protect it. It is one of the most"
Overflow: 26.0px
p4 · para 6 · OUTSIDE_VERTICAL_ZONE
Y=455.0 is not within any mask band (canvas: 0–593)
"ready, turn back toward the"
p5 · para 6 · OUTSIDE_VERTICAL_ZONE
Y=54.0 is not within any mask band (canvas: 0–593)
"world. It needs people like you"
p5 · para 6 · OUTSIDE_VERTICAL_ZONE
Y=79.0 is not within any mask band (canvas: 0–593)
"in it. And I will be watching,"
...and 2 more
Blue Floral (blue_floral_01) — PDF renderer canvas height: 1067px❌ 39 VIOLATION(S) DETECTED
Geometry
Canvas (scaled)800×1067px
Pages rendered2
Total lines simulated39
Font / sizeLibre Baskerville / 16pt
Line height25pt
Para spacing10pt
Vertical Bounds
Highest mask band starts (top-down)167.4px
Lowest mask band ends (top-down)791.6px
Lowest rendered Y (baseline, top-down)935.0px
Y within mask?❌ No — OVERFLOW
Compliance Summary
Total lines39
Compliant lines0
Violating lines39
Pct outside mask100.00%
Violating paragraphspara 0, para 1, para 2, para 3, para 4, para 5, para 6, para 7, para 8, para 9
Signature block⚠ VIOLATION
Mask Bands (on scaled canvas)
BandY startY endLeft pxRight pxWidth px
1167.4203.4190.0530.0340.0
2203.4321.4190.0592.0402.0
3321.4791.6190.0666.0476.0
⚠ Investigation Note:
PDF renderer scales image to maxW=800. Blue Floral source: 1200×1600px → scale=0.6̄ → canvas=800×1067px. templateGeometry.js uses STD_H=1120 (hardcoded). This 53px discrepancy means the hardStop coordinate computed by testResendDirect may disagree with the actual mask bottom boundary. Mask bottom (band 3 end) on 1067px canvas = 791.6px. templateGeometry.js bottomY = 1120-131=989px top-down. On actual 1067 canvas: hardStop = 1067-989 = 78px (pdf-lib bottom-up). Text will be stopped at pdf-lib Y=78, meaning deepest text is at topDown = 1067-78 = 989px. Mask allows topDown to 791.6px. Delta = 197.4px.
Debug artifact: background | mask bands (green) | text bounding boxes (blue) | violations (red)
mask 1mask 2mask 3
Scale: 45% | Canvas: 800×1067px
Violation Detail (39 lines)
p1 · para 0 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"Dearest Sarah,"
Overflow: 39.0px
p1 · para 1 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"There is so much I have wanted to say to you over the years,..."
Overflow: 39.0px
p1 · para 1 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"yet somehow the right moment always seemed to pass before I"
Overflow: 39.0px
p1 · para 1 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"could find the words. Writing this letter feels like the tru..."
Overflow: 39.0px
p1 · para 1 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"know to reach you — across whatever distance, whatever time ..."
Overflow: 39.0px
p1 · para 1 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"passed, whatever we left unfinished."
Overflow: 39.0px
p1 · para 2 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"I remember the morning you told me you were leaving for coll..."
Overflow: 39.0px
p1 · para 2 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"You stood in the kitchen doorway with that small blue suitca..."
Overflow: 39.0px
p1 · para 2 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"you looked so certain of yourself, so ready. I was proud of ..."
Overflow: 39.0px
p1 · para 2 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"that moment more than I have ever been proud of anything in ..."
Overflow: 39.0px
p1 · para 2 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"life. But I was also terrified in the way that only a parent..."
Overflow: 39.0px
p1 · para 2 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"terrified — not of anything specific, just of the enormity o..."
Overflow: 39.0px
p1 · para 2 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"and how much I wanted it to be gentle with you."
Overflow: 39.0px
p1 · para 3 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"The years that followed brought their own complexity. We did..."
Overflow: 39.0px
p1 · para 3 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"always agree. There were conversations that ended badly and"
Overflow: 39.0px
p1 · para 3 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"silences that stretched on too long. I am not here to assign..."
Overflow: 39.0px
p1 · para 3 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"for any of that. What I know is that my love for you never w..."
Overflow: 39.0px
p1 · para 3 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"not even in the hardest moments."
Overflow: 39.0px
p1 · para 4 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"I hope you have found work that means something to you. I ho..."
Overflow: 39.0px
p1 · para 4 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"you have people in your life who make you laugh, who show up"
Overflow: 39.0px
...and 19 more
Blue Floral — templateGeometry.js asserted canvas height: 1120px (for reference)❌ 39 VIOLATION(S) DETECTED
Geometry
Canvas (scaled)800×1120px
Pages rendered2
Total lines simulated39
Font / sizeLibre Baskerville / 16pt
Line height25pt
Para spacing10pt
Vertical Bounds
Highest mask band starts (top-down)175.7px
Lowest mask band ends (top-down)830.9px
Lowest rendered Y (baseline, top-down)935.0px
Y within mask?❌ No — OVERFLOW
Compliance Summary
Total lines39
Compliant lines0
Violating lines39
Pct outside mask100.00%
Violating paragraphspara 0, para 1, para 2, para 3, para 4, para 5, para 6, para 7, para 8, para 9
Signature block⚠ VIOLATION
Mask Bands (on scaled canvas)
BandY startY endLeft pxRight pxWidth px
1175.7213.5190.0530.0340.0
2213.5337.4190.0592.0402.0
3337.4830.9190.0666.0476.0
⚠ Investigation Note:
Using STD_H=1120 from templateGeometry.js. Mask bands scaled to this height for comparison. If this shows 0 violations but the 1067px version shows violations, the geometry mismatch IS the root cause.
Debug artifact: background | mask bands (green) | text bounding boxes (blue) | violations (red)
mask 1mask 2mask 3
Scale: 45% | Canvas: 800×1120px
Violation Detail (39 lines)
p1 · para 0 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"Dearest Sarah,"
Overflow: 39.0px
p1 · para 1 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"There is so much I have wanted to say to you over the years,..."
Overflow: 39.0px
p1 · para 1 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"yet somehow the right moment always seemed to pass before I"
Overflow: 39.0px
p1 · para 1 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"could find the words. Writing this letter feels like the tru..."
Overflow: 39.0px
p1 · para 1 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"know to reach you — across whatever distance, whatever time ..."
Overflow: 39.0px
p1 · para 1 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"passed, whatever we left unfinished."
Overflow: 39.0px
p1 · para 2 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"I remember the morning you told me you were leaving for coll..."
Overflow: 39.0px
p1 · para 2 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"You stood in the kitchen doorway with that small blue suitca..."
Overflow: 39.0px
p1 · para 2 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"you looked so certain of yourself, so ready. I was proud of ..."
Overflow: 39.0px
p1 · para 2 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"that moment more than I have ever been proud of anything in ..."
Overflow: 39.0px
p1 · para 2 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"life. But I was also terrified in the way that only a parent..."
Overflow: 39.0px
p1 · para 2 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"terrified — not of anything specific, just of the enormity o..."
Overflow: 39.0px
p1 · para 2 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"and how much I wanted it to be gentle with you."
Overflow: 39.0px
p1 · para 3 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"The years that followed brought their own complexity. We did..."
Overflow: 39.0px
p1 · para 3 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"always agree. There were conversations that ended badly and"
Overflow: 39.0px
p1 · para 3 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"silences that stretched on too long. I am not here to assign..."
Overflow: 39.0px
p1 · para 3 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"for any of that. What I know is that my love for you never w..."
Overflow: 39.0px
p1 · para 3 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"not even in the hardest moments."
Overflow: 39.0px
p1 · para 4 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"I hope you have found work that means something to you. I ho..."
Overflow: 39.0px
p1 · para 4 · LEFT_OVERFLOW
Text starts at x=151.0, mask allows left=190.0
"you have people in your life who make you laugh, who show up"
Overflow: 39.0px
...and 19 more