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Paper Citation Record · LEDGER

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

As of 10 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 2026-08-09T06:31:02.800959+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=sha256:435025990fba1033ebd57bf019a0d0142dc86a87035cd21e92ad1e7adbe97ea7

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:fce823ffaaeeb4815ccd59c48bbd5ee729f44708925d0d0e58abf0c79977439f

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=sha256:502e2f487b59df17454a290740cef72681b5034d8363315dabd7fedaca606d54

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:e450e6b55465670b3f6a5dcb59e7a974d038221d5baa8b73575ed7818c617706

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=sha256:80d6a3cbcfc09edb312208f27b28d6053b96b57ad15ff023e57594858ea51546

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=sha256:7c88af5e59771efd8f4f382e27989491e61f540b5417a0f2cfcce541dd5cf079

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=sha256:94b2d46afd8cd642bacb8419b9babda65550e64089f241dddd317fb6b5c7a5d6

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=sha256:6dabf0521c3dbcc311d792976db8e2d15b0366aba4534724c48d8d3f63a702d6

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=sha256:251227d90beae3199a20cf88d400126a686b64df7d108f60114b237159818ebb

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:ca13f0ed314386f642c26e040ee6c92216810519b0742ca32294e306f3e1a761

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=sha256:37cd285a62850a894a0290dad17e8e06d1fb01fed89bbcc35786375a2e800f73

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

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:c64b2a9a5bd6d68aaaed7aa398dc8f70381b92794332eaa6684b9758b4088066

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

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:fbbc50d4283d7593d4d1fe73ff46e40af809ce69a77dfd28e8863923aa6ec51a

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

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:20f00d8ae87b6582d89f47567ac143c3641e7be0304ad1b1a2e0236ca8a7c7bb

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:d53f7853bda69b1abf53051e135028b7286c922b722d92a61ba21c77a8b46ec2

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

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:78170675f071da67fc0037886a9fdfa97ffd6eba3f48df6ece5196782c411c61

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

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:053c737c413c631cf8bdc90a9d8943266e48ed27ebe8f9ec9d4154b3855a064f

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

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:09564634dd4bc342cf079de3b0088829b5b7dbe158ab844ef9bbbf3a0084c60d

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=sha256:7b09b573b45f4ac87d13eb532330d8889b5042411a23ef3dfa10ef81b1488213

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

source=arxiv_source observed=2026-07-14T13:09:50.774298Z digest=sha256:07afbef1b153246a43b04c1c9730fdcc8b844f676e5cc95f000756ee85763661

Pith citing papers

No inbound Pith citation observations are available.