Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:33:50.639293Z
Paper Citation Record · LEDGER
About the cyclically reduced product of words
As of 22 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1908.07435.
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 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
17 of 17 outbound references displayed
- verified exact1
- verified fuzzy10
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation be397781-4138-4a7c-bea6-4761789b9ccc · outbound
This paper cites an unresolved cited work.
About the cyclically reduced product of words Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:33:51.206467Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e02f7638-e017-4285-b6fc-f856474782e1 · outbound
This paper cites Brown and J.
About the cyclically reduced product of words Brown and J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:33:51.183025Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2939c98b-761e-4d97-a47d-7af81c7ccfcd · outbound
This paper cites Choffrut and J.
About the cyclically reduced product of words Choffrut and J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:33:51.152198Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7b58ce5c-4f24-48e9-8a59-cac4c6ec3e2e · outbound
This paper cites Hazewinkel (ed.), Encyclopedia of Mathematics , Springer Science/ Kluwer, 2001.
About the cyclically reduced product of words Hazewinkel (ed.), Encyclopedia of Mathematics , Springer Science/ Kluwer, 2001
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:33:51.127821Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1a6cb3c7-0ae6-4882-9152-54e7651bd316 · outbound
This paper cites an unresolved cited work.
About the cyclically reduced product of words Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:33:51.102182Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7d2d0f08-aee1-4fec-94d5-cc4889d09337 · outbound
This paper cites an unresolved cited work.
About the cyclically reduced product of words Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:33:51.067194Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 19d32137-fcc3-424d-ace1-f5562512f285 · outbound
This paper cites an unresolved cited work.
About the cyclically reduced product of words Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:33:51.033740Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 104fd29f-2c07-47cc-9320-10a71e5afae1 · outbound
This paper cites Karhum¨ aki,Combinatorics of words , available online at the author’s webpage.
About the cyclically reduced product of words Karhum¨ aki,Combinatorics of words , available online at the author’s webpage
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:33:50.997705Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 64dbb8bb-5b52-4706-b95d-45363666735f · outbound
This paper cites an unresolved cited work.
About the cyclically reduced product of words Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:33:50.975509Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f609a0bc-7739-4b92-a3dc-cc30b63480a1 · outbound
This paper cites Magnus, A.
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:33:50.941032Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9e7acf4a-3d7b-4de5-8dac-55f1c001eb10 · outbound
This paper cites Panteleev, A.
About the cyclically reduced product of words Panteleev, A
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:33:50.906510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 84d3bcf0-1dcf-4af7-9485-cbf54cfee7e6 · outbound
This paper cites Rourke, Presentations and the trivial group , in Topology of low- dimensional manifolds, Lecture Notes in Math., vol.
About the cyclically reduced product of words Rourke, Presentations and the trivial group , in Topology of low- dimensional manifolds, Lecture Notes in Math., vol
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:33:50.879964Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8d078066-d879-4074-a4b0-3e3cde107c10 · outbound
This paper cites Scarabotti, On the presentations of the trivial group , J.
About the cyclically reduced product of words Scarabotti, On the presentations of the trivial group , J
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:33:50.846769Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d1356220-2776-4b5d-9b05-2b33ccd045eb · outbound
This paper cites Short, Diagrams and Groups, in The Geometry of the Word Problem for Finitely Generated Groups, Birkh¨ auser, 2007.
About the cyclically reduced product of words Short, Diagrams and Groups, in The Geometry of the Word Problem for Finitely Generated Groups, Birkh¨ auser, 2007
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:33:50.812969Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation cbd9c6d6-72f0-4e84-8bc5-30789d1ff81b · outbound
This paper cites Vaccaro, Algorithmic and geometric methods for characterizing all the relators of a group presentation , Ph.D.
About the cyclically reduced product of words Vaccaro, Algorithmic and geometric methods for characterizing all the relators of a group presentation , Ph.D
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:33:50.788551Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 405739ad-ec52-4755-a3ed-77eaaafb61c7 · outbound
This paper cites Twisted associativity of the cyclically reduced product of words, part 1.
About the cyclically reduced product of words Twisted associativity of the cyclically reduced product of words, part 1
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:33:50.631284Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 364e9c39-011d-4065-864f-f3f12228119d · outbound
This paper cites Twisted associativity of the cyclically reduced product of words, part 2.
About the cyclically reduced product of words Twisted associativity of the cyclically reduced product of words, part 2
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T12:33:50.720640Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
No inbound Pith citation observations are available.