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Paper Citation Record · LEDGER

Homological rigidity of quiver representations over $\mathbb{F}_1$

As of 20 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2607.10253.

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

pith.paper-citation-record.v1
2607.10253 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T13:09:50.774298Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

  • verified exact7
  • verified fuzzy0
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a811f848-e037-452c-8aac-28e36abcd360 · outbound

This paper cites Representations of quivers over.

Homological rigidity of quiver representations over $\mathbb{F}_1$ Representations of quivers over

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-14T13:09:50.774298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:d1f159d5697012c8960fe70b0ef11fc16d9a106e85839c36f2b8c20f7151e87d

Observation b1371b20-2d8a-4c63-9557-cb44552cf4ba · outbound

This paper cites On Quiver Representations over.

Homological rigidity of quiver representations over $\mathbb{F}_1$ On Quiver Representations over

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-14T13:09:50.774298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:7a5b1cd4d11563392b183689d7702d960ac7020a3f2204fa162ae7e8ae65e5a3

Observation 4ea71525-bb25-4cc9-a04a-9fafb129ebdc · outbound

This paper cites Nagoya Math.

Homological rigidity of quiver representations over $\mathbb{F}_1$ Nagoya Math

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-14T13:09:50.774298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:72c3ac358500b2366afa1de9a5dd1c4b5669ec2e744c482e7d112f9d8d2d34e6

Observation 51bc4cbe-7bf5-430d-8bee-089bb53f7cc9 · outbound

This paper cites an unresolved cited work.

Homological rigidity of quiver representations over $\mathbb{F}_1$ Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-14T13:09:50.774298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:f635c9940f856970ea09bcfe27fdb34f65b534d21f7044f822de0d6b8afdf623

Observation 35c72db1-adb3-4562-96b7-f629bd4e209a · outbound

This paper cites A geometric model for the module category of a string algebra.

Homological rigidity of quiver representations over $\mathbb{F}_1$ A geometric model for the module category of a string algebra

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-14T13:09:50.774298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:acc4dc0334c5caca1b0dd0639bf377ff9833b0d06a704d96219cc54d247fa927

Observation 8d7b3ba0-edab-407e-828e-42928eb52f05 · outbound

This paper cites Communications in Algebra , volume=.

Homological rigidity of quiver representations over $\mathbb{F}_1$ Communications in Algebra , volume=

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-14T13:09:50.774298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:2d801191e413e2590270635f149a81152795cbc69e136833dbae24391edb42d1

Observation af74ecc9-75f6-4165-9468-ef11bbdc6a68 · outbound

This paper cites an unresolved cited work.

Homological rigidity of quiver representations over $\mathbb{F}_1$ Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-14T13:09:50.774298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:c7b7c030bdec206f9d8d8ec1159487d04b1187675eedf5eff4bee39d2af1c0b4

Observation 0973d5b2-3403-4d91-9fce-8e3f44993562 · outbound

This paper cites an unresolved cited work.

Homological rigidity of quiver representations over $\mathbb{F}_1$ Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-14T13:09:50.774298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:cf81592ea0e8a02409ef0d8bb2e0ba17a7b09d96fbea69dce5262953aaf161ac

Observation f18b126e-db17-4a9e-b22a-72873b35d4c2 · outbound

This paper cites On the Combinatorics of $\mathbb{F}_1$-Representations of Pseudotree Quivers.

Homological rigidity of quiver representations over $\mathbb{F}_1$ On the Combinatorics of $\mathbb{F}_1$-Representations of Pseudotree Quivers

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-14T13:09:50.774298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:08319f89422c270be209a62f2c3a98963dc13eba96a0583268079d2a41d02fd3

Observation 13b66618-982b-4c33-87e4-0e12ba76103b · outbound

This paper cites , TITLE =.

Homological rigidity of quiver representations over $\mathbb{F}_1$ , TITLE =

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-14T13:09:50.774298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:911d36aa92551a0d659682ed4e7eac2d6aa0fb964691b60be93a7e6037ed763a

Observation f6a4b8ed-35a5-4da0-8674-6d52d28487c0 · outbound

This paper cites 2019 , publisher =.

Homological rigidity of quiver representations over $\mathbb{F}_1$ 2019 , publisher =

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-14T13:09:50.774298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:a9e53e747e1beeaff9fe54ad11d47350357ac7ddf0f0fd65f17da9504be94d86

Observation 40e36086-2fc3-493e-bb63-d5ec400f3609 · outbound

This paper cites , title =.

Homological rigidity of quiver representations over $\mathbb{F}_1$ , title =

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-07-14T13:10:33.468665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:427cb47b9729aca8eb5309ac69052caa95654b7381c806c2b2a9e052a5329cbb

Observation 1575b2ec-b444-442b-8ca9-cc931884aee7 · outbound

This paper cites Slope filtrations , fjournal =.

Homological rigidity of quiver representations over $\mathbb{F}_1$ Slope filtrations , fjournal =

Reference 13

Resolution
verified exact
doi, observed 2026-07-14T13:10:33.435139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:bb9af7c4d17c686b3877018f5b2439b389b92fa0c8a5e9dbe712a8ed0c678942

Observation 81dda0e3-fd33-4a94-a348-4a8db6520db7 · outbound

This paper cites an unresolved cited work.

Homological rigidity of quiver representations over $\mathbb{F}_1$ Unresolved cited work

Reference 14

Resolution
verified exact
doi, observed 2026-07-14T13:10:33.456324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:c2ed24b63c0572403cba91c1de1783565322f5f41908255fc6d841ccf4a1648e

Observation d3182bc1-4414-41af-a0f7-bec801c8a8c5 · outbound

This paper cites Columbia University number theory seminar, New York, 1992 , pages =.

Homological rigidity of quiver representations over $\mathbb{F}_1$ Columbia University number theory seminar, New York, 1992 , pages =

Reference 15

Resolution
unresolved
no resolver link, observed 2026-07-14T13:09:50.774298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:e244f8a39cf26463296eda6d06bf9da728c8acb1c1dac1c29614291f29c4bc71

Observation 1e7ec8bf-30d5-436b-8a51-328d6f8fc3f7 · outbound

This paper cites an unresolved cited work.

Homological rigidity of quiver representations over $\mathbb{F}_1$ Unresolved cited work

Reference 16

Resolution
verified exact
doi, observed 2026-07-14T13:10:33.471211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:37c4a6a4e259b692bf7f118082e44b9c8e54efb2a11d04412a0b267b02063c88

Observation 58b8f7fd-3e85-44e7-9d10-d5ac967a3ff3 · outbound

This paper cites an unresolved cited work.

Homological rigidity of quiver representations over $\mathbb{F}_1$ Unresolved cited work

Reference 17

Resolution
verified exact
doi, observed 2026-07-14T13:10:33.475628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:9ff638673c992d8c5427b93b993727e778ebf429bd2ef45c2e420816810d2159

Observation 70ee234f-2609-46ad-9cf2-ec1e9967f499 · outbound

This paper cites Number fields and function fields -- two parallel worlds , isbn =.

Homological rigidity of quiver representations over $\mathbb{F}_1$ Number fields and function fields -- two parallel worlds , isbn =

Reference 18

Resolution
verified exact
doi, observed 2026-07-14T13:10:33.460569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:052965da2b5ee9ef67af4932695f3943f40956d7c4f45c06f8f1d79ad7090012

Observation 0ba402d2-0852-4cab-ae98-0393ee6ea324 · outbound

This paper cites an unresolved cited work.

Homological rigidity of quiver representations over $\mathbb{F}_1$ Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-07-14T13:09:50.774298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:128972cf7dfcd1ed605071ea0c05176e1ab6d5fbba5612bdfc6ebd4210fdb6c9

Observation 944bef80-8cfb-43ba-9a01-50ac151383d0 · outbound

This paper cites an unresolved cited work.

Homological rigidity of quiver representations over $\mathbb{F}_1$ Unresolved cited work

Reference 20

Resolution
verified exact
doi, observed 2026-07-14T13:10:33.485322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:32a39268c0decd42c5da4959de57fe67b0d9918862f30ab93b3f70ad33919b46

Pith citing papers

No inbound Pith citation observations are available.