Paper Citation Record · LEDGER

Hyperbolic small knots in spherical manifolds

As of 7 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2506.01041.

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

pith.paper-citation-record.v1
2506.01041 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:04:58.101673Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

verified exact0
verified fuzzy19
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 70ca1148-4677-4d25-b729-c2288dd57273 · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:05:00.722104Z

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 3b5d52f3-e9bf-42d1-b78d-b955a81ee699 · outbound

This paper cites MR 3444187.

Hyperbolic small knots in spherical manifolds MR 3444187

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.712349Z

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 7ff4e944-402e-4242-998b-2e5478866016 · outbound

This paper cites Baker, Counting genus one fibered knots in lens spaces , Michigan Math.

Hyperbolic small knots in spherical manifolds Baker, Counting genus one fibered knots in lens spaces , Michigan Math

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.702823Z

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 504a334f-0416-4bc6-ab17-09332b7106df · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:05:00.693514Z

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 171cdd9b-0afd-4757-b8e4-ef4d30203c99 · outbound

This paper cites Boyer and X.

Hyperbolic small knots in spherical manifolds Boyer and X

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.684251Z

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 5b596cb1-f508-4226-b1f3-e49dde4a68e2 · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:05:00.675189Z

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 1ce55700-4040-48d4-b6df-d02a236b1bbb · outbound

This paper cites Culler, W.

Hyperbolic small knots in spherical manifolds Culler, W

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.666535Z

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 bc0b1dd6-e4bb-4fe3-8a2a-60166bcd6a8a · outbound

This paper cites Doig, Finite knot surgeries and Heegaard Floer homology , Algebr.

Hyperbolic small knots in spherical manifolds Doig, Finite knot surgeries and Heegaard Floer homology , Algebr

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.657767Z

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 f7ad0bff-f745-4460-9cef-21af03b88685 · outbound

This paper cites Floyd and A.

Hyperbolic small knots in spherical manifolds Floyd and A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.649494Z

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 73657a15-4f9d-42ed-bbf2-396ce5697a25 · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:05:00.640794Z

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 fa8baef4-0136-4d47-8294-e621d4eadf2c · outbound

This paper cites 105 (1961), 245–375.

Hyperbolic small knots in spherical manifolds 105 (1961), 245–375

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.632371Z

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 c55c425a-9722-4665-bacd-4b6549990a1d · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:05:00.623160Z

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 d9db0fe1-739d-46b8-bd96-6a57befd4349 · outbound

This paper cites Hatcher and W.

Hyperbolic small knots in spherical manifolds Hatcher and W

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.614338Z

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 b8be03be-a3a9-476f-b619-aec0fcce0f1b · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:05:00.605034Z

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 5de7945b-963a-4564-84e4-aa3317e03cdd · outbound

This paper cites Shanahan, Computing boundary slopes of 2-bridge links , Math.

Hyperbolic small knots in spherical manifolds Shanahan, Computing boundary slopes of 2-bridge links , Math

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.595552Z

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 c2e6edb2-d151-4019-8e58-c22fe0ecf5fd · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:05:00.585853Z

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 35404ba1-695d-47ab-a9e7-1b721bc32560 · outbound

This paper cites Mattman, Boundary slopes (nearly) bound exceptional slopes, 2023.

Hyperbolic small knots in spherical manifolds Mattman, Boundary slopes (nearly) bound exceptional slopes, 2023

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.577189Z

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 1d9dc3f2-09db-4f0b-b435-bf2cdd69cf21 · outbound

This paper cites 43, American Mathematical Society, Providence, RI, 1980.

Hyperbolic small knots in spherical manifolds 43, American Mathematical Society, Providence, RI, 1980

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.569036Z

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 efdb9f0c-6c19-43ae-ac5e-9316c47d201c · outbound

This paper cites MR 1417494.

Hyperbolic small knots in spherical manifolds MR 1417494

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.560509Z

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 8a0c3411-f716-4a0b-9a0b-07a64836d346 · outbound

This paper cites MR 2689967.

Hyperbolic small knots in spherical manifolds MR 2689967

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.552594Z

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 45bb3484-4b31-434d-bd93-f9a2073dcdb6 · outbound

This paper cites Knot Theory Ramifications 31 (2022), no.

Hyperbolic small knots in spherical manifolds Knot Theory Ramifications 31 (2022), no

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.544368Z

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 b0d6281d-aaf3-44f8-8985-3f8928cdae62 · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:05:00.535719Z

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 114d250e-3220-43a5-9969-02c411dfe80e · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:05:00.448727Z

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 4b4bcff6-2b2f-4638-850f-06748d500757 · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:05:00.269393Z

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 16e05b52-fbcd-4446-b38d-33703b499147 · outbound

This paper cites 135 (2004), no.

Hyperbolic small knots in spherical manifolds 135 (2004), no

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.138496Z

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 bc68bebb-391e-45a4-92c9-76c1ab888cf0 · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:04:59.894951Z

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 0b08f517-743f-48bf-829f-a9185d2770c6 · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:04:59.602697Z

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 e72b3c7b-66f5-4ad0-b9b9-a398752ec1dd · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:04:59.331878Z

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 f6799a8f-d54d-4e2f-afe8-dd3f66a07e1a · outbound

This paper cites 144 (2004), no.

Hyperbolic small knots in spherical manifolds 144 (2004), no

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:59.142930Z

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 9ade53ed-8d2d-4284-910e-30b2377ee5fc · outbound

This paper cites Math., vol.

Hyperbolic small knots in spherical manifolds Math., vol

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:58.941724Z

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 b0cc246d-3b8e-4a09-ba8b-2f90b30881b4 · outbound

This paper cites London Math.

Hyperbolic small knots in spherical manifolds London Math

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:58.825056Z

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 f4df983e-e4b8-41be-827d-6eeb39eec9e6 · outbound

This paper cites Thurston, The geometry and topology of three-manifolds , 1982.

Hyperbolic small knots in spherical manifolds Thurston, The geometry and topology of three-manifolds , 1982

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:58.698766Z

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 3ff7c285-a670-43d7-867a-c6e18957fa5c · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:04:58.515029Z

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 9f2147e1-8a0b-41d4-a77c-2362fd3cabdd · outbound

This paper cites an unresolved cited work.

Hyperbolic small knots in spherical manifolds Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:04:58.294725Z

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

No inbound Pith citation observations are available.