Paper Citation Record · LEDGER

Interacting vertex reinforced random walks on complete sub-graphs

As of 11 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 4 inbound Pith citation observations for arXiv:2508.15992.

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

pith.paper-citation-record.v1
2508.15992 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T17:47:02.575810Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T20:22:30.871363Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T11:16:53.921080Z

Reference resolution

27 of 27 outbound references displayed

verified exact0
verified fuzzy11
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 74e47bad-23ca-4e9a-b704-595db4179959 · outbound

This paper cites Theory Related Fields 159 (2014), no.

Interacting vertex reinforced random walks on complete sub-graphs Theory Related Fields 159 (2014), no

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:47:08.023151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 49b5d975-9151-4543-ae99-afd3417092a6 · outbound

This paper cites Control Optim.

Interacting vertex reinforced random walks on complete sub-graphs Control Optim

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:47:07.820864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fab6d4e0-86dd-4fbc-b596-fe019af3c4c5 · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:07.556868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5e216b38-f15c-4c91-a48d-f46652466824 · outbound

This paper cites 1709, Springer, Berlin, 1999, pp.

Interacting vertex reinforced random walks on complete sub-graphs 1709, Springer, Berlin, 1999, pp

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:47:07.328040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 946a2282-51c0-4114-bc25-0866a4114a21 · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:07.146544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation be99caae-c58e-4e09-a483-5d440384ca20 · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:06.990745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ac58db64-3338-4cab-8dc6-c9344c1a6300 · outbound

This paper cites Grudsky,Spectral properties of banded Toeplitz matrices, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2005.

Interacting vertex reinforced random walks on complete sub-graphs Grudsky,Spectral properties of banded Toeplitz matrices, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2005

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:47:06.821450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3428ce75-7fe7-40b7-9ebe-0279c38a7d25 · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:06.531155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 40a96c84-3daa-4d9e-87e5-fd90d13130d2 · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:06.274729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b9e0719e-9f67-454a-843e-135743f3fcf0 · outbound

This paper cites 2, 817–842.

Interacting vertex reinforced random walks on complete sub-graphs 2, 817–842

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:47:05.972626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 932fc475-4609-4140-834f-49555b865959 · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:05.702738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 24fa40c4-2cb7-49c8-84a8-7290abd6cb35 · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:05.418592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b4b38076-1796-4f89-80a9-de222c0ac2bf · outbound

This paper cites Minelli, Synchronization and functional central limit theorems for interacting reinforced random walks , Stoch.

Interacting vertex reinforced random walks on complete sub-graphs Minelli, Synchronization and functional central limit theorems for interacting reinforced random walks , Stoch

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:47:05.080677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d02eb79e-39f4-41aa-8486-add27ed88c90 · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:04.780967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4e2ff18f-76e7-4555-a667-00ccb29b2e0a · outbound

This paper cites de Paula Reis, Interacting edge-reinforced random walks, ALEA Lat.

Interacting vertex reinforced random walks on complete sub-graphs de Paula Reis, Interacting edge-reinforced random walks, ALEA Lat

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:47:04.502279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1b4ad6c6-e0a9-4e84-8b83-a86784595613 · outbound

This paper cites MR 1635735.

Interacting vertex reinforced random walks on complete sub-graphs MR 1635735

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:47:04.318004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 473d8376-d374-4f45-ae16-c161253f12d1 · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:04.144062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1a309fe6-f01b-4efa-902c-db272362d5ad · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:04.057072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a8dfdc09-9b66-46c5-a5aa-5a6a67d9882a · outbound

This paper cites Theory Related Fields 92 (1992), no.

Interacting vertex reinforced random walks on complete sub-graphs Theory Related Fields 92 (1992), no

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:47:03.894697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5f97a45e-1677-4f5a-88d5-557a284c3b4a · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:03.733587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a1f05dfe-6f04-43dc-ae08-006faa316b18 · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:03.600011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 25df4532-127e-4113-a9e7-ca55b9b576b3 · outbound

This paper cites Rosales, Fernando P.

Interacting vertex reinforced random walks on complete sub-graphs Rosales, Fernando P

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:47:03.462944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation dfab3525-68a8-406a-bf8d-92d0f08f5c54 · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:03.328240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a656e25f-19a1-4748-a324-8b54836e4148 · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:03.176070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2a23fa31-f321-445d-9259-20a9b15a934d · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:03.022523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1a3c4288-7d16-43c6-b859-933b2ab91ba3 · outbound

This paper cites Neural Netw.

Interacting vertex reinforced random walks on complete sub-graphs Neural Netw

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:47:02.839963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 39604312-9240-4398-82fd-d6f0c07f61f5 · outbound

This paper cites an unresolved cited work.

Interacting vertex reinforced random walks on complete sub-graphs Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:47:02.733870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation cee3b76f-0d10-44dc-bca4-093aaafc0875 · inbound

The Clark-Kushner condition for interacting reinforced random walks on finite graphs cites this paper.

The Clark-Kushner condition for interacting reinforced random walks on finite graphs Interacting vertex reinforced random walks on complete sub-graphs

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-07-02T11:16:53.627794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 718d063a-f306-4af4-8eab-fe1c9159d63f · inbound

Reinforced random walks with geometric inter-transition times cites this paper.

Reinforced random walks with geometric inter-transition times Interacting vertex reinforced random walks on complete sub-graphs

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-07-02T11:16:53.922649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 87830a23-b741-4c0f-899b-d3530bba51d2 · inbound

Reinforced random walks with geometric inter-transition times cites this paper.

Reinforced random walks with geometric inter-transition times Interacting vertex reinforced random walks on complete sub-graphs

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T18:26:15.359635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74869d4e-0067-4d2c-bf06-d6aaff723811 · inbound

Vertex reinforced branching random walks and generalized time-dependent Polya urns cites this paper.

Vertex reinforced branching random walks and generalized time-dependent Polya urns Interacting vertex reinforced random walks on complete sub-graphs

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T20:22:30.871363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.