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Paper Citation Record · LEDGER

Obstructions to Reality: Torsors & Visual Paradox

As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 2 inbound Pith citation observations for arXiv:2507.01226.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.01226 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:15:09.581239Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T11:17:02.641966Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-16T15:38:03.211399Z

Reference resolution

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 63057f9b-92e5-4dda-b55a-0a39b36963ee · outbound

This paper cites The sheaf-theoretic structure of non-locality and contex- tuality.New Journal of Physics, 13:113036, 2011.

Obstructions to Reality: Torsors & Visual Paradox The sheaf-theoretic structure of non-locality and contex- tuality.New Journal of Physics, 13:113036, 2011

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:11.253925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:08.936436Z digest=sha256:10eea824924f5d0639ffafbb7a19e01ed9b05dc0b9eec10caf233879ee218c2c

Observation 6648a4b3-c6be-400a-a284-1c45598043ee · outbound

This paper cites Contex- tuality, cohomology and paradox.

Obstructions to Reality: Torsors & Visual Paradox Contex- tuality, cohomology and paradox

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:11.190841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:08.973151Z digest=sha256:080e71bd3eefab3364ba40ecf6a002f57b482677bc19de173717ac3bd75bb626

Observation b0dc59c0-1bfa-4f7c-8ad4-4c62f984ea39 · outbound

This paper cites On the cohomology of contextuality.

Obstructions to Reality: Torsors & Visual Paradox On the cohomology of contextuality

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:11.121759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.008070Z digest=sha256:87770524648d37b0de73e208d81aa64d53b702def6f642a18be06d8bc635eac9

Observation c4f05c1c-bcbc-4619-9784-67c4e73b561c · outbound

This paper cites Cervantes and Ehtibar N.

Obstructions to Reality: Torsors & Visual Paradox Cervantes and Ehtibar N

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:11.056342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.043605Z digest=sha256:11e81a7547b58171fe889631b38eac4ec04f7b1ffccd519b5aaaeca9a0f64e27

Observation 344c0c8e-f6f4-4e44-90d5-162295f5da43 · outbound

This paper cites Cellular Cosheaves, Graphic Statics, and Mechanics.

Obstructions to Reality: Torsors & Visual Paradox Cellular Cosheaves, Graphic Statics, and Mechanics

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:10.979343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.079350Z digest=sha256:5e9274c3e591d7f29e8554888d063b56e4c339496ebd0f3bb1300db5b66ba7f3

Observation f18c0bd4-0679-413b-8b4e-7bafcefded51 · outbound

This paper cites Towards homological methods in graphic statics.

Obstructions to Reality: Torsors & Visual Paradox Towards homological methods in graphic statics

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:10.896141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.127028Z digest=sha256:97d2735a412714808076de850db019803f8755acccd8cd8462778ee70e973e41

Observation 9f0ebee2-03b9-449b-8c80-e077919a2cbd · outbound

This paper cites A Cosheaf Theory of Reciprocal Figures: Planar and Higher Genus Graphic Statics.

Obstructions to Reality: Torsors & Visual Paradox A Cosheaf Theory of Reciprocal Figures: Planar and Higher Genus Graphic Statics

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T21:15:09.177994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:15:09.177994Z digest=sha256:5f6ca090972b8dcaaa0b44d9443f505f9bd0b1b4825cbc9dc9f3549ecdd6b159

Observation d9fcce5d-ba83-40ab-b62b-0505411e6d76 · outbound

This paper cites an unresolved cited work.

Obstructions to Reality: Torsors & Visual Paradox Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:15:10.819466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.214598Z digest=sha256:d07e6289a7ccd6e309666a53c55d716b81bfe2817b56ce8152d4bb819e3da006

Observation e2dc09c0-53a2-4006-91a1-f84dc380afb0 · outbound

This paper cites an unresolved cited work.

Obstructions to Reality: Torsors & Visual Paradox Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:15:10.736050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.246084Z digest=sha256:0b5868db3a44d06d0a3e0323528659cf3ff68c7c680581e01a5ee190e62949f5

Observation 6d2422d6-6b90-417b-a203-1fa00b3b7f78 · outbound

This paper cites Springer-Verlag, Berlin, 1971.

Obstructions to Reality: Torsors & Visual Paradox Springer-Verlag, Berlin, 1971

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:10.629533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.282181Z digest=sha256:806a0aaa887bb1716d460cda6ed44a991f733951bbcfe2dfba830003447e343a

Observation 14960912-c93e-4e36-bfcd-968aa16d6beb · outbound

This paper cites Sheaf neural networks.

Obstructions to Reality: Torsors & Visual Paradox Sheaf neural networks

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:10.566076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.313282Z digest=sha256:2ea351e1bc7c1afc44241bc999cf65816936c84f5e8fb070368fd869ac72e8dc

Observation 0d70524f-1a01-4af8-a315-584e8887278e · outbound

This paper cites Opinion dynamics on discourse sheaves.SIAM Journal on Applied Mathematics, 81(5):2033–2060, 2021.

Obstructions to Reality: Torsors & Visual Paradox Opinion dynamics on discourse sheaves.SIAM Journal on Applied Mathematics, 81(5):2033–2060, 2021

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:10.507807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.345891Z digest=sha256:fa2e02691383c4a35d7e491605cf2d7d8449ad5a07b926fa62603cc5eadd6955

Observation d744837c-931b-4ba1-8277-454680133ef8 · outbound

This paper cites an unresolved cited work.

Obstructions to Reality: Torsors & Visual Paradox Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:15:10.437257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.395077Z digest=sha256:937b3059b967b8cba4f836d51a21a230da124600316f4eb805bbb85482bb5dc2

Observation a9c24fad-85b6-493f-9e92-aed09c5f3840 · outbound

This paper cites Springer-Verlag, Berlin, 1990.

Obstructions to Reality: Torsors & Visual Paradox Springer-Verlag, Berlin, 1990

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:10.362711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.425343Z digest=sha256:018d1f1fb3724d5d104337dbde6a4f0bcea679399fd411a3f5ab551b9f191954

Observation f4acd6f1-5e3e-42ce-8fc9-8eef1fdf8b19 · outbound

This paper cites Are impossible figures possible?Signal Processing, 5:201–220, 1983.

Obstructions to Reality: Torsors & Visual Paradox Are impossible figures possible?Signal Processing, 5:201–220, 1983

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:10.266380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.458912Z digest=sha256:824327a292254f29a1e06138cc04bb5c9ac6837f40e1816e028980fff2016494

Observation 529842b8-4d5c-43b6-923f-6990d31bfc54 · outbound

This paper cites Springer-Verlag, New York, 1992.

Obstructions to Reality: Torsors & Visual Paradox Springer-Verlag, New York, 1992

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:10.166103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.496379Z digest=sha256:f693a6cc96eb6bcb587438ad98b43715243e21e00a69133aabbf7e16bfb586f0

Observation 82b7b3ce-09a4-4e81-9072-2ea67ae1a563 · outbound

This paper cites an unresolved cited work.

Obstructions to Reality: Torsors & Visual Paradox Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:15:10.004892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.521315Z digest=sha256:3ff87abe156e5e85f7fdc69b680590a424b06a2dc01ee75e2af1ce6d9c7b483a

Observation 69df8826-9af2-4bc1-9666-934a8f9af052 · outbound

This paper cites On the cohomology of impossible figures.Leonardo, 25(3-4):245–247, 1992.

Obstructions to Reality: Torsors & Visual Paradox On the cohomology of impossible figures.Leonardo, 25(3-4):245–247, 1992

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:09.927696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.550867Z digest=sha256:2d31b94c264485832d82697a2f9ec9fef625b74f07dbbf03f47ce47d64d3af96

Observation 1755cc66-13e5-45f9-b14d-9e0fa1919320 · outbound

This paper cites Diffusion of information on networked lattices by gossip.

Obstructions to Reality: Torsors & Visual Paradox Diffusion of information on networked lattices by gossip

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:09.835364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:15:09.581239Z digest=sha256:54b594e7c10219993f32875a0e19db80715f751741db1de7ae700299255d0ac3

Pith citing papers

Observation 8a7b01ae-1755-4a88-8adf-cb77247ebfab · inbound

The Non-Orientable Topology of Condorcet's Paradox cites this paper.

The Non-Orientable Topology of Condorcet's Paradox Obstructions to Reality: Torsors & Visual Paradox

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-16T15:38:03.213010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-16T15:36:28.416874Z digest=sha256:c5cb53f198d34ff4fb43411030c204f67a183e322a2413cc92c045b4075b6c8a

Observation 59e7400a-15ce-4311-a08f-f162c5872e94 · inbound

The Non-Orientable Topology of Condorcet's Paradox cites this paper.

The Non-Orientable Topology of Condorcet's Paradox Obstructions to Reality: Torsors & Visual Paradox

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-03T11:17:02.641966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:17:02.641966Z digest=sha256:140a250374a64c29fc2ba76beb1faccea1cf2ec690edf4a40614f9fa7d1edcff