Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:49:13.023918Z
Paper Citation Record · LEDGER
Virtual homological torsion in graphs of free groups with cyclic edge groups
As of 8 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2505.20960.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T21:26:01.689820Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
44 of 44 outbound references displayed
- verified exact0
- verified fuzzy26
- unresolved18
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation bbe7d425-8ed8-4f6c-bc3b-e67d58915396 · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:23.368642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c7bbf7cd-d7d5-43d0-8e60-b9da88ac8900 · outbound
This paper cites Amit and U.
Virtual homological torsion in graphs of free groups with cyclic edge groups Amit and U
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:23.145151Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c508faa5-d12c-4cc0-843b-eb2fa04e698d · outbound
This paper cites Bergeron and A.
Virtual homological torsion in graphs of free groups with cyclic edge groups Bergeron and A
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:22.988837Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a02bdf00-c42c-4250-9eab-98feaeb8a5bc · outbound
This paper cites Bessa, F.
Virtual homological torsion in graphs of free groups with cyclic edge groups Bessa, F
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:22.812223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b3352c0a-b951-4c27-ba47-aaeb6c2b1ac8 · outbound
This paper cites Bigdely and D.
Virtual homological torsion in graphs of free groups with cyclic edge groups Bigdely and D
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:22.659003Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7188c48f-6495-440f-89e8-598d6af5490a · outbound
This paper cites Calegari.
Virtual homological torsion in graphs of free groups with cyclic edge groups Calegari
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:22.507015Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c60c61fd-6553-4733-9c5a-7ceb0ba12602 · outbound
This paper cites Calegari.Stable Commutator Length, volume 20 ofMathematical Society of Japan Memoirs.
Virtual homological torsion in graphs of free groups with cyclic edge groups Calegari.Stable Commutator Length, volume 20 ofMathematical Society of Japan Memoirs
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:22.377302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 42959f7c-9e32-414e-ae11-fe09735e9fa7 · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:22.206646Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4fc81c36-be72-4fbb-8cec-9c781777b2ce · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:21.971013Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a5d1910b-f909-4acf-afe3-8637f518f325 · outbound
This paper cites Chu and D.
Virtual homological torsion in graphs of free groups with cyclic edge groups Chu and D
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:21.739346Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 866d9f94-dd37-4870-afa1-21bb878c0df5 · outbound
This paper cites Diao and M.
Virtual homological torsion in graphs of free groups with cyclic edge groups Diao and M
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:21.399373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation eec37aff-d5e3-4537-8697-9f7d4077ea24 · outbound
This paper cites Fruchter and I.
Virtual homological torsion in graphs of free groups with cyclic edge groups Fruchter and I
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:21.144980Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c48e04fa-eea2-42bb-919a-af85aeaf479b · outbound
This paper cites Garrido and A.
Virtual homological torsion in graphs of free groups with cyclic edge groups Garrido and A
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:20.880351Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 35a6b94b-265c-4875-884b-c4525c0fd42c · outbound
This paper cites Grunewald, A.
Virtual homological torsion in graphs of free groups with cyclic edge groups Grunewald, A
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:20.604369Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a6f2a419-ed46-48d8-8bd8-861cd8298b5e · outbound
This paper cites Guirardel and G.
Virtual homological torsion in graphs of free groups with cyclic edge groups Guirardel and G
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:20.232232Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c33932b9-7b8e-4fa9-8e1a-ae3dfe298168 · outbound
This paper cites Guirardel and G.
Virtual homological torsion in graphs of free groups with cyclic edge groups Guirardel and G
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:19.947704Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 63048caa-2f02-4668-80cf-265f687507ad · outbound
This paper cites Haglund and D.
Virtual homological torsion in graphs of free groups with cyclic edge groups Haglund and D
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:19.626918Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ebde376f-3531-4ff5-86c2-a8b60faaf0da · outbound
This paper cites Hanany, C.
Virtual homological torsion in graphs of free groups with cyclic edge groups Hanany, C
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:19.343891Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 451799f6-929c-4acc-8c2e-b807059fd2e6 · outbound
This paper cites Hatcher.Algebraic topology.
Virtual homological torsion in graphs of free groups with cyclic edge groups Hatcher.Algebraic topology
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:19.159948Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 15a72667-c058-4a16-9edb-56a96199fa82 · outbound
This paper cites Hsu and D.
Virtual homological torsion in graphs of free groups with cyclic edge groups Hsu and D
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:18.951841Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2be8b9cd-451f-4e72-83b4-e9d4db6f368f · outbound
This paper cites Hsu and D.
Virtual homological torsion in graphs of free groups with cyclic edge groups Hsu and D
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:18.753331Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c598ce3c-cc04-400c-8e57-b3b032112c8e · outbound
This paper cites Kahn and V.
Virtual homological torsion in graphs of free groups with cyclic edge groups Kahn and V
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:18.593975Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5f697127-7360-4a71-8607-7842b0202528 · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:18.455069Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c42ec101-8444-49b8-9e09-b00bc017a1a9 · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:18.294170Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d7e26aa4-444d-497a-8120-a915754f9239 · outbound
This paper cites L¨ uck.L2-Invariants: Theory and Applications to Geometry and K-Theory.
Virtual homological torsion in graphs of free groups with cyclic edge groups L¨ uck.L2-Invariants: Theory and Applications to Geometry and K-Theory
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:18.155416Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b4918547-aeee-4e19-b48a-bc7068055709 · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:17.966730Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f9cf6965-6b90-40fe-875d-32b4d87ee39d · outbound
This paper cites Magee and D.
Virtual homological torsion in graphs of free groups with cyclic edge groups Magee and D
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:17.696431Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 72d82d3c-7169-49b7-984b-d1eb8210f561 · outbound
This paper cites Minasyan.
Virtual homological torsion in graphs of free groups with cyclic edge groups Minasyan
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:17.390221Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bb421e86-55c7-41eb-a51c-1aee27f38cc1 · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:17.115868Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d2efa405-292c-42c3-b7d8-84142589d2ae · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:16.868526Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 93ebd519-c047-4a00-98ef-cb7c30d49ace · outbound
This paper cites Puder and O.
Virtual homological torsion in graphs of free groups with cyclic edge groups Puder and O
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:16.669546Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fe77c192-c895-49d9-9d13-226b972db980 · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:16.507534Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5bd2908d-165c-4b31-8e13-c25ace99157c · outbound
This paper cites Shalev.Some Results and Problems in the Theory of Word Maps, page 611–649.
Virtual homological torsion in graphs of free groups with cyclic edge groups Shalev.Some Results and Problems in the Theory of Word Maps, page 611–649
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:16.391879Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 97652334-f687-4819-bbdb-fc771d0e35cf · outbound
This paper cites Shenitzer.
Virtual homological torsion in graphs of free groups with cyclic edge groups Shenitzer
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:16.219519Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 550ff5f4-052f-4334-b05b-0ff3cc11254a · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:15.975588Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e068cf29-ccaf-4b08-b514-77c6df49490b · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:15.694538Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 08d0bb59-cfb3-4a3f-a296-f6ac3f54c2fe · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:15.395587Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2041747f-8dfb-4b3f-b874-06caea01c603 · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:15.126087Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation da034f9a-33cc-4e36-9ab7-a74af581c6a8 · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:14.856462Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6afb62dc-e44e-4863-8147-2b87b2f17a9f · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:14.519780Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 37d5241d-c7d3-4f65-bfb9-8238abbe2cd1 · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:14.186512Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 423baf1d-e557-4ee9-b87b-b8436d7cb79c · outbound
This paper cites Wilton and P.
Virtual homological torsion in graphs of free groups with cyclic edge groups Wilton and P
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:49:13.892786Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3324b57c-df4e-4c0f-90ae-ed2628a448c5 · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 43
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:13.614355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c9c7fcce-4fc1-40db-a4f4-39fae563d226 · outbound
This paper cites an unresolved cited work.
Virtual homological torsion in graphs of free groups with cyclic edge groups Unresolved cited work
Reference 44
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:49:13.323483Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
Observation 4a7ada54-d22a-4d9c-9069-4d9b7097e600 · inbound
Profinite rigidity of simple closed curves in surface groups cites this paper.
Profinite rigidity of simple closed curves in surface groups Virtual homological torsion in graphs of free groups with cyclic edge groups
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T21:26:01.689820Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.