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Paper Citation Record · LEDGER

Interacting vertex reinforced random walks on complete sub-graphs

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:00.740330Z digest=sha256:bd7cd1017ee58bda16261c2669faf292716ba58605aff539ac0bebb6f3ac0718

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:00.853671Z digest=sha256:46ad210f6b53777764259ec4cfd6322dbe90d02bdb419fdab32d7bea305c7051

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:00.903444Z digest=sha256:a128ca43b00c8f2305dd2acbca086e0f8b40df8838bbd517bba04b090007d461

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.010667Z digest=sha256:e203e5eb7ef1939213f3034b804d79d46a16862f98bd02590240785c02642a12

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.051693Z digest=sha256:400e5c0a6b7d79e4766fd985df8f9bc8dca6f6ff67ea28737b2c619386c6e799

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.105857Z digest=sha256:e1e6a627cb3613bbac926882148053f36b3a6f9c6be8d50adb2295f3f75e03e7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.167230Z digest=sha256:736e6162efee2912265d0e5e9f6b50e40eb21e8dcb464b887e5944fdfdf63d3e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.214368Z digest=sha256:3bf10de6c16de4770f0c577c9f260c89f558855003dfc652737128710f3461bf

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.303106Z digest=sha256:473d83b864c895d56b692b1b5605bfaf67958e34ab4aa6e23db7955b231a4621

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.373702Z digest=sha256:60111822d1abe9204e0442e374fd21b1e46dcb7b12754d41d4e2f3bca4fca990

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.459698Z digest=sha256:4ea3d2d0d72ce9513cb071f8914422058dbc27d9d0e7be7d41c2a969a31a8d24

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.534885Z digest=sha256:95eb29459b2e3635366689ec600f3903a8547478153cde56743e3db6f370c3ba

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.602297Z digest=sha256:0c0e6478d8af635eaed809e66b4c5a3d7636bf54937754787b19bb07e3666cfd

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.619428Z digest=sha256:0060abae59e97986d5fb7ed371915de1ae2037824713e1e9c3f1f1d16aefab08

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.702633Z digest=sha256:1d2fac7788d9f83624717e0e2bf7eef62a248dfbe377c47554608f3439f47299

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.763026Z digest=sha256:a4517da9566e87023076685777c94de5aba2a30d952e2c3e186d8e1c511f3b84

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.828647Z digest=sha256:0fa8b8f21c7772739a1cf6934bf6671f19c22105c3e0a4fd497f1a0e5f59cde9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.899632Z digest=sha256:a9573ac745ddccc4758f1f9be18286522ad1f35aa4837f26d8a75dba87c18509

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:01.958425Z digest=sha256:4ff6df3f6a807f1c6aae4ec23d37412989748c8dd10c4af788b8d8b3ed53c241

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:02.050647Z digest=sha256:e3a27d139c6c3b3b94691b1989fdbf2bccb26e86979bd6c784061588d41cea6a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:02.097598Z digest=sha256:746614d7c8f2a46a16015a8f1445a50f3c627454783cb548a130bbfabeff9f39

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:02.255026Z digest=sha256:f07d411edb61fd04b4d5497f11f86dda83a5fee11d24830530e7010ba038ad07

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:02.319374Z digest=sha256:8c6161e36a1cc37425e5cf6537f36aa9233e20991dc6fe1e109de6e4d5805504

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:02.361632Z digest=sha256:08df61ee1a5028798a360d5c188c9dd7f23494395c967098aa662e1599fa624b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:02.445959Z digest=sha256:37d7914feb959c6edbf90db61e51a2138e6442a5a15c971d92a42781990b1c1c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:02.513354Z digest=sha256:5eaf8c45b058d8ec8a375bb19a4c62f3f714f4e997fa6d14eb3a6d33fd6b11c6

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T17:47:02.575810Z digest=sha256:1fa81cc775282c079296c8a155ae1c593d0405151534776f8755093771dd6d3c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-28T04:17:51.343440Z digest=sha256:acfba6c533ee5b2b58c6fc35b09efc73d07ce440b719f0032653b4d1049dfd4d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-28T04:14:07.728244Z digest=sha256:f6aabcca40ec2020fa35085f0f001232328da41e151e98a7b6ec75aa5e6f21b4

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.

source=pdf_text observed=2026-07-14T18:26:15.359635Z digest=sha256:3dfeb281b9e843d1adcf92725cef81704c8cec6a01e6108ff0595758f94339cb

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.

source=pdf_text observed=2026-08-01T20:22:30.871363Z digest=sha256:2ff37adb4d4d2e6ab3784dd4b789c784943df3b48592221b149ce05154a4c886