Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:04:53.381524Z
Paper Citation Record · LEDGER
Braidoids
As of 16 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:1908.06053.
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 2026-08-16T06:30:59.297886+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
40 of 40 outbound references displayed
- verified exact7
- verified fuzzy27
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 69f06530-49c3-4d64-8625-9d0951c88285 · outbound
This paper cites an unresolved cited work.
Braidoids Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:04:53.889612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f6c410dc-b9dd-4db6-a682-f0afefe18f51 · outbound
This paper cites A lemma on systems of knotted curves.
Braidoids A lemma on systems of knotted curves
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.880805Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 56ce682e-7690-493d-ab72-e6692df7eb78 · outbound
This paper cites Theorie der Z¨ opfe.Abh.
Braidoids Theorie der Z¨ opfe.Abh
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.869899Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 64a3c5ef-f6ec-479d-a7ab-b7a0d9fb2037 · outbound
This paper cites Theory of braids.
Braidoids Theory of braids
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.860834Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9b5867dd-eedd-4784-a5f4-9a5234ca739c · outbound
This paper cites Double branched covers of knotoids.
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:04:53.266910Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 53e65722-ea0e-4549-b4c1-f87d8e2bd40d · outbound
This paper cites The virtual and universal braids, Fundamenta Mathematicae 184 (2004) 159–186.
Braidoids The virtual and universal braids, Fundamenta Mathematicae 184 (2004) 159–186
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.851703Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dc823e8d-4d67-4476-ad8a-5fc2c5809bc7 · outbound
This paper cites Knotoids, A.
Braidoids Knotoids, A
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.842649Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fe5eeb2d-bc9e-4e24-916b-04e7bbf0c212 · outbound
This paper cites Entrlacements et ´ equations de Pfaffe,Asterisque 107-108 (1983) 87–161.
Braidoids Entrlacements et ´ equations de Pfaffe,Asterisque 107-108 (1983) 87–161
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.832183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4c9580b5-4c19-4b5d-8b0d-09abfe42dfba · outbound
This paper cites Braids, links and mapping class groups.
Braidoids Braids, links and mapping class groups
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.822668Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 75d14e3b-2284-459d-8653-3ce9ef928e5c · outbound
This paper cites On Markov’s Theorem.
Braidoids On Markov’s Theorem
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.813914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8e03b9c4-522f-42ad-a5d1-b64e0244f81f · outbound
This paper cites ¨Uber verknotete Curven.
Braidoids ¨Uber verknotete Curven
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.805057Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7bc82f17-eca1-4cfb-8f17-405948293449 · outbound
This paper cites Knots, de Gruyter Stud.
Braidoids Knots, de Gruyter Stud
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.795739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 001e64f9-e5c8-42bb-a37a-7043e0c6cc08 · outbound
This paper cites Studies of global and local entanglements of individual protein chains using the concept of knotoids.
Braidoids Studies of global and local entanglements of individual protein chains using the concept of knotoids
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.787353Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ec5f3d7a-9151-4b6f-9774-d85b1c3b4e47 · outbound
This paper cites Topological models for open knotted protein chains using the concepts of knotoids and bonded knotoids.
Braidoids Topological models for open knotted protein chains using the concepts of knotoids and bonded knotoids
Reference 14
- Resolution
- verified exact
- doi, observed 2026-08-14T13:04:53.442553Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 052331c9-3fb4-46e2-9a3e-79fade095c21 · outbound
This paper cites DOI: 10.1093/nar/gky1140.
Braidoids DOI: 10.1093/nar/gky1140
Reference 15
- Resolution
- verified exact
- doi, observed 2026-08-14T13:04:53.431368Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a56eadb9-a4ca-41ff-bd6d-8805ef2d22f5 · outbound
This paper cites On a move reducing the genus of a knot diagram,Indi- ana University Mathematics Journal 61.3 (2012), pp.
Braidoids On a move reducing the genus of a knot diagram,Indi- ana University Mathematics Journal 61.3 (2012), pp
Reference 16
- Resolution
- verified exact
- raw_fallback, observed 2026-08-14T13:04:53.576280Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 448ca2d7-ae83-4a8e-885e-306fe7390b7a · outbound
This paper cites New invariants of knotoids.European J.
Braidoids New invariants of knotoids.European J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.777278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8d6f4444-f64f-4b8e-859d-15ce1c12823a · outbound
This paper cites Knotoids, Braidoids and Applications.Symmetry, Special Issue:Knot Theory and Its Applications (2017).
Braidoids Knotoids, Braidoids and Applications.Symmetry, Special Issue:Knot Theory and Its Applications (2017)
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.768187Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dafe26c4-22f0-4151-84d1-bc418d99624f · outbound
This paper cites On Knotoids, Braidoids and Their Applications.PhD thesis, 2017.
Braidoids On Knotoids, Braidoids and Their Applications.PhD thesis, 2017
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.758368Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 06e44d0b-04a0-4694-baea-6e8fd2f6e608 · outbound
This paper cites Knot Theory & Ram- ifications, Vol.
Braidoids Knot Theory & Ram- ifications, Vol
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.749210Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5711a903-e976-4bbf-a457-c07acfe7be66 · outbound
This paper cites an unresolved cited work.
Braidoids Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:04:53.739900Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fba4734d-9d00-4fa0-b4b9-9ff095054ecf · outbound
This paper cites Hecke algebra representations of braid groups and link polynomials, Ann.
Braidoids Hecke algebra representations of braid groups and link polynomials, Ann
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.730685Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e87ebd25-652b-4c55-9553-d99915d00610 · outbound
This paper cites Braid representation of virtual knots and welded knots, Osaka J.
Braidoids Braid representation of virtual knots and welded knots, Osaka J
Reference 23
- Resolution
- verified exact
- raw_fallback, observed 2026-08-14T13:04:53.518515Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6f645f0a-9067-4b72-ac48-878cc43ba82f · outbound
This paper cites Braid groups, Volume 247 of Graduate Texts in Mathematics, Springer, New York, 2008.
Braidoids Braid groups, Volume 247 of Graduate Texts in Mathematics, Springer, New York, 2008
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.721101Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d259a45c-0dce-49fe-a6ab-4ba0d19efe8a · outbound
This paper cites Virtual Knot Theory, European J.
Braidoids Virtual Knot Theory, European J
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.711876Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a78c02ab-2e21-43dd-acbb-55d4d5d9e56c · outbound
This paper cites H., Lambropoulou, S.
Braidoids H., Lambropoulou, S
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.701939Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f67d51c8-deec-4dcf-9f7c-f28e10fd5c5f · outbound
This paper cites Virtual braids and the L-move, J.
Braidoids Virtual braids and the L-move, J
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.693936Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 576fe76b-f199-499b-b58a-a955ebb57ed7 · outbound
This paper cites Rail knotoids.
Reference 28
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T13:04:53.455806Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 38ca8d9b-e7ed-4994-aec3-c805b20d03c7 · outbound
This paper cites [Russian, English abstract].
Braidoids [Russian, English abstract]
Reference 29
- Resolution
- verified exact
- doi, observed 2026-08-14T13:04:53.421646Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 59da61dc-5397-4edd-89e1-ca6ec21977bc · outbound
This paper cites Short proofs of Alexander’s and Markov’s theorems.
Braidoids Short proofs of Alexander’s and Markov’s theorems
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.685237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4d3b4009-eee7-45cf-8bf3-be0e22086157 · outbound
This paper cites A study of braids in 3-manifolds.
Braidoids A study of braids in 3-manifolds
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.675436Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fc89600c-b088-4c04-a963-0ad3055b3307 · outbound
This paper cites an unresolved cited work.
Braidoids Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:04:53.666278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d17cd282-225b-4e40-b637-9cdc54c07d12 · outbound
This paper cites Knot Theory Ramif.
Braidoids Knot Theory Ramif
Reference 33
- Resolution
- verified exact
- doi, observed 2026-08-14T13:04:53.411605Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c0239e38-4897-445f-acd8-d3ab64b8eb6d · outbound
This paper cites an unresolved cited work.
Braidoids Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:04:53.657156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 75ed4402-70b2-436a-bb69-078ac2c6b1b0 · outbound
This paper cites an unresolved cited work.
Braidoids Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:04:53.647362Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 967718e2-192a-4ae9-af83-452e8ff6fa9a · outbound
This paper cites A new proof of Markov’s braid theorem.
Braidoids A new proof of Markov’s braid theorem
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.637408Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 889fe617-8407-4ce1-9bb2-5e80b4d2e560 · outbound
This paper cites Knotoids.
Braidoids Knotoids
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.628373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 59b57baf-f6e3-4121-b004-c38d9e620181 · outbound
This paper cites Representation of links by braid: A new algorithm.
Braidoids Representation of links by braid: A new algorithm
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.618949Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 80f041cc-0833-4750-bb8a-a61ae518b8e6 · outbound
This paper cites Sur l’ equivalence libre des tresses ferm´ ee.
Braidoids Sur l’ equivalence libre des tresses ferm´ ee
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.608389Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3861e2f7-11b5-4497-b0ad-63d7a3e7fe2e · outbound
This paper cites The minimal number of Seifert circles equals the braid index of a link.
Braidoids The minimal number of Seifert circles equals the braid index of a link
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:04:53.597757Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.