Paper Citation Record · LEDGER

Triangulations of the 3-sphere with knotted edge

As of 20 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2411.18938.

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

pith.paper-citation-record.v1
2411.18938 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T10:50:21.271860Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

39 of 39 outbound references displayed

verified exact0
verified fuzzy26
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b976c044-ac62-4121-88f0-be1e0d34dd32 · outbound

This paper cites Kashaev, A TQFT from quantum Teichm¨ uller theory, Comm.

Triangulations of the 3-sphere with knotted edge Kashaev, A TQFT from quantum Teichm¨ uller theory, Comm

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:22.350217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e0f30a72-7bed-415f-b48c-fb51d7fafb65 · outbound

This paper cites Combinatorial Theory Ser.

Triangulations of the 3-sphere with knotted edge Combinatorial Theory Ser

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:22.319553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9d167b4d-19a3-4dab-9f62-6e85e052bd29 · outbound

This paper cites 14 (2023), no.

Triangulations of the 3-sphere with knotted edge 14 (2023), no

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:22.295354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 25e350da-da2f-4edf-a6c7-dea1f9ba069f · outbound

This paper cites an unresolved cited work.

Triangulations of the 3-sphere with knotted edge Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:50:22.271826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1f8afb9a-b065-4829-9359-9ad7b7847f24 · outbound

This paper cites Lutz, Knots in collapsible and non-collapsible balls , Electron.

Triangulations of the 3-sphere with knotted edge Lutz, Knots in collapsible and non-collapsible balls , Electron

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:22.250857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 129045f4-c954-4f73-9ca6-5ff45e0ecdc7 · outbound

This paper cites Ziegler, On locally constructible spheres and balls , Acta Math.

Triangulations of the 3-sphere with knotted edge Ziegler, On locally constructible spheres and balls , Acta Math

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:22.220627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4f936b3f-b429-4198-9998-7d262840e5a3 · outbound

This paper cites Graham, M.

Triangulations of the 3-sphere with knotted edge Graham, M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:22.201240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 87ad8eae-3247-4bf2-9e3e-7b3800cfeb37 · outbound

This paper cites Burton, Ryan Budney, Will Pettersson, et al., Regina: Software for 3-manifold topology and normal surface theory , http://regina-normal.github.io/, 1999–2023.

Triangulations of the 3-sphere with knotted edge Burton, Ryan Budney, Will Pettersson, et al., Regina: Software for 3-manifold topology and normal surface theory , http://regina-normal.github.io/, 1999–2023

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:22.179287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8d87516e-5d21-4a8e-88ae-a3d535a69c3e · outbound

This paper cites an unresolved cited work.

Triangulations of the 3-sphere with knotted edge Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:50:22.151126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation defa3200-d47a-4450-854d-db3ed321914c · outbound

This paper cites an unresolved cited work.

Triangulations of the 3-sphere with knotted edge Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:50:22.122543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3126646f-4946-422a-b31e-3ddf494fb1c1 · outbound

This paper cites an unresolved cited work.

Triangulations of the 3-sphere with knotted edge Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:50:22.092286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ed023309-6b5c-4ea0-909f-46ca92b24562 · outbound

This paper cites an unresolved cited work.

Triangulations of the 3-sphere with knotted edge Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:50:22.068526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6084c3a8-810f-4111-add0-0549939a298c · outbound

This paper cites Purcell, Dehn filling, volume, and the Jones polyno- mial, J.

Triangulations of the 3-sphere with knotted edge Purcell, Dehn filling, volume, and the Jones polyno- mial, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:22.032357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c13d6c2b-1547-4e88-80fd-5841264af719 · outbound

This paper cites Purcell, Links with no exceptional surgeries , Comment.

Triangulations of the 3-sphere with knotted edge Purcell, Links with no exceptional surgeries , Comment

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.995938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f4b63b48-197f-4492-8c6e-5773f7586301 · outbound

This paper cites an unresolved cited work.

Triangulations of the 3-sphere with knotted edge Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:50:21.975226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2b6171cb-529f-40ed-8fc0-e7c575dd2235 · outbound

This paper cites an unresolved cited work.

Triangulations of the 3-sphere with knotted edge Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:50:21.954923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 43a7b092-d67d-407a-a28e-26ccb3d43e7b · outbound

This paper cites Knot Theory Ram- ifications 13 (2004), no.

Triangulations of the 3-sphere with knotted edge Knot Theory Ram- ifications 13 (2004), no

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.932738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9e19e3d0-8b36-462b-9797-2839247e4dc4 · outbound

This paper cites Ziegler, Decompositons of simplicial balls and spheres with knots consisting of few edges , Math.

Triangulations of the 3-sphere with knotted edge Ziegler, Decompositons of simplicial balls and spheres with knots consisting of few edges , Math

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.907184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2f72d1e0-6928-4aa6-9638-bac8708223c8 · outbound

This paper cites Ham and Jessica S.

Triangulations of the 3-sphere with knotted edge Ham and Jessica S

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.863688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f2445278-5fbb-40f0-82a9-cdea6011b347 · outbound

This paper cites an unresolved cited work.

Triangulations of the 3-sphere with knotted edge Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:50:21.835853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 49be4dff-2f13-4832-b9be-0700d2d92a91 · outbound

This paper cites A-polynomials, Ptolemy equations and Dehn filling.

Triangulations of the 3-sphere with knotted edge A-polynomials, Ptolemy equations and Dehn filling

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T10:50:21.135847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33fc1033-8d6c-4980-9b09-78538d1f0316 · outbound

This paper cites an unresolved cited work.

Triangulations of the 3-sphere with knotted edge Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:50:21.804481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8d8cd259-9443-4b71-a4b0-faef7f6676e9 · outbound

This paper cites Hyam Rubinstein, 0 -efficient triangulations of 3-manifolds , J.

Triangulations of the 3-sphere with knotted edge Hyam Rubinstein, 0 -efficient triangulations of 3-manifolds , J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.782194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 323ee207-acb1-4c40-9f4c-5b979fbf56a8 · outbound

This paper cites Kashaev, Quantum dilogarithm as a 6j-symbol, Modern Phys.

Triangulations of the 3-sphere with knotted edge Kashaev, Quantum dilogarithm as a 6j-symbol, Modern Phys

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.761113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation eac02537-4f03-442c-975c-b60fbc38a314 · outbound

This paper cites an unresolved cited work.

Triangulations of the 3-sphere with knotted edge Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:50:21.737693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9ec498cd-18a9-42e0-a4c7-1a6537fdc675 · outbound

This paper cites Kashaev, Feng Luo, and Grigory Vartanov, A TQFT of Turaev-Viro type on shaped triangu- lations, Ann.

Triangulations of the 3-sphere with knotted edge Kashaev, Feng Luo, and Grigory Vartanov, A TQFT of Turaev-Viro type on shaped triangu- lations, Ann

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.718606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4d65e957-e7ed-49bc-a5be-34ac9f120f6b · outbound

This paper cites London Math.

Triangulations of the 3-sphere with knotted edge London Math

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.693252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3053c172-01d5-4515-9ebc-e8381501907c · outbound

This paper cites an unresolved cited work.

Triangulations of the 3-sphere with knotted edge Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:50:21.671036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f63b23bb-32a5-4e68-81bc-616bc605a068 · outbound

This paper cites Lutz, Small examples of nonconstructible simplicial balls and spheres, SIAM Journal on Discrete Mathematics 18 (2004), no.

Triangulations of the 3-sphere with knotted edge Lutz, Small examples of nonconstructible simplicial balls and spheres, SIAM Journal on Discrete Mathematics 18 (2004), no

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.646088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b199df09-0a63-4fc7-8086-59cf6588278e · outbound

This paper cites Discrete Math.

Triangulations of the 3-sphere with knotted edge Discrete Math

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.619560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f93f4d90-f502-4cf3-a36f-b6406f19b0be · outbound

This paper cites 9, Springer, Berlin, 2007.

Triangulations of the 3-sphere with knotted edge 9, Springer, Berlin, 2007

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.598383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dbb9bb6b-fa87-40f3-baa4-42a1cd1ef927 · outbound

This paper cites 186 (2001), no.

Triangulations of the 3-sphere with knotted edge 186 (2001), no

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.574668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3af97d1e-56f0-4897-84f9-6dc0c9ed28d7 · outbound

This paper cites Purcell, Cusp shapes under cone deformation , J.

Triangulations of the 3-sphere with knotted edge Purcell, Cusp shapes under cone deformation , J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.542872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f0756444-904c-46af-a7f8-f00ef9f3ea6f · outbound

This paper cites Math., vol.

Triangulations of the 3-sphere with knotted edge Math., vol

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.506627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fb26ddc7-c56b-4765-9340-2bc507f572c8 · outbound

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.480892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2998ad63-bf40-4199-800b-491d9c1102b9 · outbound

This paper cites an unresolved cited work.

Triangulations of the 3-sphere with knotted edge Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:50:21.446137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5580fda3-31b9-49b9-9056-3c9a1496f4ea · outbound

This paper cites 3 (Geometries), 1922, pp.

Triangulations of the 3-sphere with knotted edge 3 (Geometries), 1922, pp

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.420932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3bff6953-5284-42f2-a901-cdf1595c1e53 · outbound

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

Triangulations of the 3-sphere with knotted edge Thurston, The geometry and topology of three-manifolds, Princeton Univ

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.394456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5cd60525-96ac-48b9-9593-73011381e664 · outbound

This paper cites Ziegler,Lectures on polytopes, Graduate Texts in Mathematics, no.

Triangulations of the 3-sphere with knotted edge Ziegler,Lectures on polytopes, Graduate Texts in Mathematics, no

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:50:21.361534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.