Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:17:18.000934Z
Paper Citation Record · LEDGER
The tunnel number of all 11 and 12 crossing alternating knots
As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.01693.
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
14 of 14 outbound references displayed
- verified exact1
- verified fuzzy11
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ed4824e8-7361-4e3b-b957-7f92559fa1c2 · outbound
This paper cites Boileau and H.
The tunnel number of all 11 and 12 crossing alternating knots Boileau and H
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:17:18.521944Z
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 c070e7da-987e-48ee-8756-f98108320f23 · outbound
This paper cites Burde and H.
The tunnel number of all 11 and 12 crossing alternating knots Burde and H
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:17:18.491383Z
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 5f4f3de2-91f7-4dc8-9f9a-311a4b404e58 · outbound
This paper cites an unresolved cited work.
The tunnel number of all 11 and 12 crossing alternating knots Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:17:18.463000Z
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 9e641528-d739-468b-ba61-1191791b37f8 · outbound
This paper cites Clark, The Heegaard genus of manifolds obtained by surgery on links and knots, Interna- tional Journal of Mathematics and Mathematical Sciences, v ol.
The tunnel number of all 11 and 12 crossing alternating knots Clark, The Heegaard genus of manifolds obtained by surgery on links and knots, Interna- tional Journal of Mathematics and Mathematical Sciences, v ol
Reference 4
- Resolution
- verified exact
- doi, observed 2026-08-14T15:17:18.100427Z
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 80e991b7-eaca-48fb-bdb6-9aefdf3c365a · outbound
This paper cites Culler, N.
The tunnel number of all 11 and 12 crossing alternating knots Culler, N
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:17:18.436105Z
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 89d3577e-cba2-47f8-ac2b-eb58c8b29b03 · outbound
This paper cites Kobayashi, Y.
The tunnel number of all 11 and 12 crossing alternating knots Kobayashi, Y
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:17:18.387089Z
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 7c8bcce5-8eec-4d7e-b547-c74b3f79da5f · outbound
This paper cites Lackenby, Classification of alternating knots with tunnel number one.
The tunnel number of all 11 and 12 crossing alternating knots Lackenby, Classification of alternating knots with tunnel number one
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:17:18.352071Z
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 0dc588db-cfac-4c04-b56f-66372f9de8c1 · outbound
This paper cites Lustig, Y.
The tunnel number of all 11 and 12 crossing alternating knots Lustig, Y
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:17:18.324236Z
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 ced35dff-b34d-47ab-aa3f-449beca572a0 · outbound
This paper cites an unresolved cited work.
The tunnel number of all 11 and 12 crossing alternating knots Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:17:18.295349Z
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 6489fcbb-f9d2-47f6-9448-25f688117462 · outbound
This paper cites Morimoto, Tunnel numbers of knots.
The tunnel number of all 11 and 12 crossing alternating knots Morimoto, Tunnel numbers of knots
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:17:18.265394Z
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 55d9c87d-eb3b-45ef-ba47-662caef99a82 · outbound
This paper cites Morimoto, M.
The tunnel number of all 11 and 12 crossing alternating knots Morimoto, M
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:17:18.233577Z
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 d1812b0f-5e9d-4526-b666-7009a1664222 · outbound
This paper cites Morimoto, M.
The tunnel number of all 11 and 12 crossing alternating knots Morimoto, M
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:17:18.199575Z
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 f1448d0f-3003-4c85-8a51-cf702a434f0a · outbound
This paper cites Rolfsen, Knots and links , Publish or Perish, 1976.
The tunnel number of all 11 and 12 crossing alternating knots Rolfsen, Knots and links , Publish or Perish, 1976
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:17:18.172961Z
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 cdea8eeb-0e8d-4465-aaae-3bc864a112dd · outbound
This paper cites Schubert, ¨Uber eine numerische Knoteninvariante , Math.
The tunnel number of all 11 and 12 crossing alternating knots Schubert, ¨Uber eine numerische Knoteninvariante , Math
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:17:18.133980Z
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.