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Paper Citation Record · LEDGER

Obstructions to Reality: Torsors & Visual Paradox

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:08.936436Z digest=sha256:dbd5d2576e818548aeb586dbba9c804ef77ef31d30503d8bb68a4d14131bde65

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:08.973151Z digest=sha256:009dbaf11eead2366a21a08132e3d343fc1a5ba19bf545fcec58293cf9801e33

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.008070Z digest=sha256:e97104a955b4f6897744cc1d83d7732ee4f8785740cd61ebbe362911fd9d9033

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.043605Z digest=sha256:f38ba73624b4acc0fab8db082f4a8eeced47e78ecd7bc8db3ff119993429a644

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.079350Z digest=sha256:598d992564a02968476206f3716dedf7171606b4b5ff0b7d10d863056b60f37f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.127028Z digest=sha256:a3bddf4408a2a133d2cec595d8ad110ec47b00890da407a97c94a418bbd45b44

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.214598Z digest=sha256:2ea96e2b2c7cf655a3b7b20065ca0ae1c4fd3b2dcd49fdaa8e13ded28d801343

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.246084Z digest=sha256:0da41d3c9876d11a263e5e0ada1a17ceaa5ebe86588c525050c200b54e16060a

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.282181Z digest=sha256:ff307bf79ba20acf4dfab4f9c8f067dd5165c088e33ced78b0601ad58ae9ba69

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.313282Z digest=sha256:97217f58e1145cd9910ad8a3b1b3ff09a528aa80af500728c0e5243b1562812a

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.345891Z digest=sha256:93970440c50e6039b72e28bd32c0e78844adfe63328facc0033c87b03de170d8

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.395077Z digest=sha256:960f7a819573aa6f96535128ea26f761f2dec81f7d21949f2aeea60e472e2285

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.425343Z digest=sha256:e5081530e683501ee868365d2da4181667fe9ba6e21de8fbd64fd0e1093960cb

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.458912Z digest=sha256:e24063957ab6ba362355c8c39ad2d3b824f065039ce49235e4ea9cf445bafd5e

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.496379Z digest=sha256:89df8b85eee884e65311a62e7706f6003ae9067e4adde85cd5b9582e38894c1e

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.521315Z digest=sha256:04fa5a237711be2082eaa9ed89c37a215549b56e68e063e4091625aa4e74b5a5

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.550867Z digest=sha256:7f69cfed3244c76c8eed731ec6f750d6b8ed3393a864fb27c57076114a1b1b2d

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:15:09.581239Z digest=sha256:567206a3a3c98f1e52836cd6f4bc21da02f34e8647a864d9c35b2f0abb63551f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T15:36:28.416874Z digest=sha256:70e06e5bb311430041c639193854b1bb90e372cab41e295481dacbbee16ea10d

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