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Paper Citation Record · LEDGER

Some characterizations of weak left braces

As of 13 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2502.05861.

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

pith.paper-citation-record.v1
2502.05861 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T17:50:01.458395Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T21:43:47.908078Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

  • verified exact2
  • verified fuzzy14
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 825ec80e-7098-4563-960a-e192d118f933 · outbound

This paper cites Bardakov, M.

Some characterizations of weak left braces Bardakov, M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:50:01.794233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.363442Z digest=sha256:b3808c219993512a64d73be6e61ea6da4cd2d7110f3a82dd2f28ac94a1640997

Observation 60690c81-bcda-43ec-9e97-12ad854c0265 · outbound

This paper cites Bardakov, M.

Some characterizations of weak left braces Bardakov, M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:50:01.780850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.368589Z digest=sha256:e7b85d041235604019d42c71ff9f7c608507e4e8e1a43bb2b4119e6f2d49ecee

Observation 02002129-4c02-4b52-9128-95e87b83efde · outbound

This paper cites an unresolved cited work.

Some characterizations of weak left braces Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-08T17:50:01.766398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.373051Z digest=sha256:26d7f5f845eac6c300b103cfa5c7a5e79002a495024053758fb3c1a08c9cec0e

Observation db4a03f1-ebaa-44ef-b734-32c28a53f854 · outbound

This paper cites Campedel, A.

Some characterizations of weak left braces Campedel, A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:50:01.752790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.377364Z digest=sha256:e87ba51e1fc6d844bbd259220e8dc6100e76fe54147081243337c3c94db96b1f

Observation 917d2ee5-6f83-4805-a6c0-3053c8ff5fc5 · outbound

This paper cites Caranti, Bi-skew braces and regular subgroups of the holomo rph, J.

Some characterizations of weak left braces Caranti, Bi-skew braces and regular subgroups of the holomo rph, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:50:01.738987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.381971Z digest=sha256:654e5c07412d9bc862b5ea72e0e91922a0326a31221f33e9876b4d14d26d5dd1

Observation 35d28123-6b8b-414b-9f7a-072185f4c0cc · outbound

This paper cites Catino, M.

Some characterizations of weak left braces Catino, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:50:01.725013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.386316Z digest=sha256:a988bfe637766e99ae41d9f5188496001282929d041018f1b8b2a1c2deb63efe

Observation 1a318ac2-d409-425b-8a73-ad62c031c23f · outbound

This paper cites Catino, M.

Some characterizations of weak left braces Catino, M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:50:01.711414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.391257Z digest=sha256:4187e681ae3bc3f16587865a2ad2c1891f642ac2a3d69b7c918ac6b0ac85bb5b

Observation 1d648004-9c64-4de8-85a8-6262c147d099 · outbound

This paper cites Catino, M.

Some characterizations of weak left braces Catino, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:50:01.697084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.395483Z digest=sha256:0d0b38b766ad87aa4335e7789273ceedb6c6012cf3b6f03c8206a7c991bd2773

Observation 7f30b152-afa0-446f-8d60-14c537d9f61c · outbound

This paper cites Ced´ o, E.

Some characterizations of weak left braces Ced´ o, E

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:50:01.683514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.399865Z digest=sha256:7f30769dc73a2397b71aa5005cb48fb9f77c75c2dfc62a1a15e4f297c0ae63b1

Observation c614fb30-734d-467f-b0e1-91efbac449a2 · outbound

This paper cites Childs, Bi-skew braces and Hopf Galois structures, N .Y.

Some characterizations of weak left braces Childs, Bi-skew braces and Hopf Galois structures, N .Y

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:50:01.669809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.404400Z digest=sha256:7fa5c0de8725e92b23aea73b23d3a7b65db349d2ec61ea6e2f8e2f620fd9cebd

Observation a3c62661-b763-4ed7-bbc9-7ecd6836b7ef · outbound

This paper cites an unresolved cited work.

Some characterizations of weak left braces Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-08T17:50:01.655164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.408582Z digest=sha256:6a439e9b5dfb6302ce86dfec03267ebd49c66f65265a23b257fae1f0a3160dd5

Observation 0da2e7a0-fced-416d-a733-04d16ee7421d · outbound

This paper cites Post Clifford semigroups, the Yang-Baxter equation, relative Rota--Baxter Clifford semigroups and dual weak left braces.

Some characterizations of weak left braces Post Clifford semigroups, the Yang-Baxter equation, relative Rota--Baxter Clifford semigroups and dual weak left braces

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-08T17:50:01.534784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.413772Z digest=sha256:071ab52a38f3f78981a3bef366f763c5a9652c1b757d9050852425a7d424e580

Observation 0164a1d4-ee91-410d-bf24-4fcca8d12e8b · outbound

This paper cites Guarnieri, L.

Some characterizations of weak left braces Guarnieri, L

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:50:01.640675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.419168Z digest=sha256:4445d2ae5232df6da5859965b3e563f6c75ed6695d42e5d8b9fd21d32391eacd

Observation f901bac1-7727-449a-b8fd-5ca8830239a2 · outbound

This paper cites an unresolved cited work.

Some characterizations of weak left braces Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-08T17:50:01.627207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.423938Z digest=sha256:2a2baf4f067edd2673027b3df082b754ecc3436cb1100d706c0a9839e12e92de

Observation 2ab99dc0-3ea0-4757-adf5-1e0933c39a70 · outbound

This paper cites Set-theoretic solutions of the Yang-Baxter equation and regular *-semibraces.

Some characterizations of weak left braces Set-theoretic solutions of the Yang-Baxter equation and regular *-semibraces

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-08T17:50:01.512180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.428567Z digest=sha256:b3d01660ba5b368971782cb2b4fc77290b4d5be92fa094782fb16dccceab5d62

Observation 0c201076-6b9d-4ea5-8ff1-cb7342f4ef86 · outbound

This paper cites Mazzotta, B.

Some characterizations of weak left braces Mazzotta, B

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-08T17:50:01.434100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T17:50:01.434100Z digest=sha256:9cb77603436f157d0c0776248f137ab637367455adf919944df2c2b163443291

Observation e5299556-6006-4300-9773-7ad9c0c599ec · outbound

This paper cites Rump, Braces, radical rings, and the quantum Yang-Baxte r equation, J.

Some characterizations of weak left braces Rump, Braces, radical rings, and the quantum Yang-Baxte r equation, J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:50:01.611958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.438889Z digest=sha256:ae5408b4377938b83a784e338c9b2db4c648f8bd768c2ea8e2731c4c0a7d59a4

Observation 5a0a1514-b76a-4e17-aaec-dccf7e630741 · outbound

This paper cites Rump, Construction of finite braces, Ann.

Some characterizations of weak left braces Rump, Construction of finite braces, Ann

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:50:01.596050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.443757Z digest=sha256:d9046dbb8082ad1cdcfe4a776914e1d5a4a8bc185f2bc0c241b3985aed840008

Observation 996c8659-a40a-4a7f-aaae-04a4fe328fb4 · outbound

This paper cites Rump, Affine structures of decomposable solvable groups, J.

Some characterizations of weak left braces Rump, Affine structures of decomposable solvable groups, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:50:01.579256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.448701Z digest=sha256:c4ad93810279766d4dbb4a302298336c75a0bea23fd06848722921825b0b5064

Observation 5718e638-7a65-4cb9-a3b5-d430cc85ef89 · outbound

This paper cites Stefanelli, Semi-affine structures on groups and semi-brace s, J.

Some characterizations of weak left braces Stefanelli, Semi-affine structures on groups and semi-brace s, J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:50:01.565303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.453570Z digest=sha256:57a984df5018d19cd9805a6f8dc68d94333e9fbdcc3efe381452bc8f97ff6301

Observation 2b5fa672-09dd-485d-996d-6c8c1ad90a75 · outbound

This paper cites an unresolved cited work.

Some characterizations of weak left braces Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-08T17:50:01.550157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T17:50:01.458395Z digest=sha256:0787cdaeccd2cdd1f76211972583213bed2124c3c42d35286fb3057f8d3eef3c

Pith citing papers

Observation 0e262cfd-dfc2-4009-87e2-12b71c06976d · inbound

Set-theoretic solutions of the Yang-Baxter equation from inverse braces cites this paper.

Set-theoretic solutions of the Yang-Baxter equation from inverse braces Some characterizations of weak left braces

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-01T21:43:47.908078Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:43:47.908078Z digest=sha256:64298521767967e338028c4fdb4828fa5936515bd6511308cb2d6cef19c59d6e