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Paper Citation Record · LEDGER

On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{2}}}$

As of 15 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2412.10868.

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

pith.paper-citation-record.v1
2412.10868 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:39:43.775274Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

29 of 29 outbound references displayed

  • verified exact5
  • verified fuzzy19
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-11T15:39:44.072760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.623361Z digest=sha256:127a2079b7b8ed86f35ba558766971d4b3e07f9abbffa7832d9501f00756ab9c

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.468585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.628910Z digest=sha256:112050d179e7b988efd2a1eba3121f537e1aad678b3380a7deb89429377544fd

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.452319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.634293Z digest=sha256:c67a34020e9932ac42896a62659db6cb3520889cc1564dc0b15aa0ca38cfb7b1

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.436294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.638992Z digest=sha256:b84af02689f19bc3b057c182617b03abebc765170730e4e8b74cc4d84339d41e

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-11T15:39:44.051061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.644139Z digest=sha256:7d61e6ed6d355f29719c851cc083a2060a3b6051cd7f39694bd2de07d4b5c53e

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.419855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.649342Z digest=sha256:9a0d0b719899f3e5483c37222e49bc1018480a125fc44d2db28b5e89e1276b2a

Observation fdf463e4-95a9-46fe-ae3e-2ec048602b33 · outbound

This paper cites On the asymptotic expansions of various quantum invariants I: the colored Jones polynomial of twist knots at the root of unity $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{2}}}$.

On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{2}}}$ On the asymptotic expansions of various quantum invariants I: the colored Jones polynomial of twist knots at the root of unity $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{2}}}$

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-11T15:39:44.029499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.654775Z digest=sha256:3dc6fbdc4beba85e55a28031843171e16718c28daf3e4114c4800d86ad39a9a8

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.402947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.659872Z digest=sha256:ef50ab2985b64e147389fe6dc8cba44b38247bf351320e9a96c2925e2adedf66

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.385458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.664831Z digest=sha256:9153f27c8905d20a03464cec5ce5b869dd754b15718e4d70f8eef3123b210dbf

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.365139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.670834Z digest=sha256:840f50e5cf6da8b3f3092503dcbb1c8858915dcfc0b7c0d626b2e15562d6c874

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.348951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.675488Z digest=sha256:0a863ca05ebcc5de84875d462d67c0d96520e07b744d285d47499ae029cb2c41

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:39:44.331213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.680902Z digest=sha256:40718e396e3a2c7fa79019f2cc9d1bbee3fadbf05f81c4ccee0544b027211874

Observation abd5e7ce-749a-4046-9d85-8d4d3ffef022 · outbound

This paper cites Habiro, A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres , Invent.

On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{2}}}$ Habiro, A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres , Invent

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.315139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.685937Z digest=sha256:d6ee10f4048ac2b990b3da31a590bbf26b94f77a6c02054a882dbe5555a402eb

Observation b1f72179-df73-4b81-9af0-25dd9de16c85 · outbound

This paper cites Kashaev, The hyperbolic volume of knots from the quantum dilogarithm , Lett.

On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{2}}}$ Kashaev, The hyperbolic volume of knots from the quantum dilogarithm , Lett

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.298968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.691132Z digest=sha256:a2ab246e7eac4951ee46828ddcdfe32b2ff37963349886566c9333831f4a8c67

Observation 5d3bcaa6-ad9a-4efb-a4a0-1341f2594dac · outbound

This paper cites Lickorish, The skein method for three-manifold invariants.

On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{2}}}$ Lickorish, The skein method for three-manifold invariants

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.282489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.695827Z digest=sha256:fad0facbc6289dee5b4a0d243ffaae5d0cf7023a79833c4ab26b7b532a23ad66

Observation d4c682ab-cceb-4725-833a-61eba1cb2572 · outbound

This paper cites Masbaum, Skein-theoretical derivation of some formulas of Habiro.

On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{2}}}$ Masbaum, Skein-theoretical derivation of some formulas of Habiro

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.265721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.700903Z digest=sha256:bfd50dd412c1c10e8b80dea54b9d8e3c06260697171a20504cec258025ae26a2

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.247818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.706490Z digest=sha256:c684383dc3f06a0d08eed9ac0e3d704cb7aa1191e5b3f8e0e6c769d5fe4a4d8a

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:39:44.230189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.711504Z digest=sha256:e738df83a20273676b30d536187c7fcb76489416a4a9c4928c4cad625e4c52fc

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.212772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.716880Z digest=sha256:f456f2dbb67b0cf58138cca12abb74660b409e43dc7e63592ca8ab6d1b949f83

Observation 92122a45-a7ae-4800-8a79-781daa540391 · outbound

This paper cites Ohtsuki, On the asymptotic expansion of the Kashaev invariant of the 52 knot, Quantum Topol.

On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{2}}}$ Ohtsuki, On the asymptotic expansion of the Kashaev invariant of the 52 knot, Quantum Topol

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.195084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.723368Z digest=sha256:97cbeecb7145b7a2bc062986a66a22bcabff8821a7af560bf7e179c729f74873

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.177583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.729075Z digest=sha256:e81dbb57f1c05f6cedbe842f4d97f77dab14a672013db70e64d622ebd1a655fe

Observation 93d09969-87c3-499b-9f82-3beffb2df1a0 · outbound

This paper cites Rolfsen, Knots and links , 2nd printing with corrections, Mathematics Lecture Series 7, Publish or Perish, Inc.

On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{2}}}$ Rolfsen, Knots and links , 2nd printing with corrections, Mathematics Lecture Series 7, Publish or Perish, Inc

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.159869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.735529Z digest=sha256:097006014246809474d4c8439340b4aaf96f23ea92abf8dfaf99a2460bdec5e1

Observation 51418190-820c-4fd6-a4c0-ed986c185bf7 · outbound

This paper cites Roberts, Skein theory and Turaev–Viro invariants.

On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{2}}}$ Roberts, Skein theory and Turaev–Viro invariants

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.141861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.741598Z digest=sha256:3ec379ff086dce624543c3e7694645140e4cccf483e8c677a2c9902070170f67

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:39:44.124879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.746650Z digest=sha256:b32ea669b0bd7c61046cf3ce2b0b85d294b97c1fbf5f10b2cdd57ca7e3cd0bdb

Reference 25

Resolution
verified exact
raw_fallback, observed 2026-08-11T15:39:44.005853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.752595Z digest=sha256:55d299c1124c9cd4a96305fe12ead54682143bcad06079c2134fb1d3da2da700

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-11T15:39:43.839124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.758113Z digest=sha256:525a6c3ea7f58a082f51f885c95d576c3a3cd9b1a9dcb028ac2ec2e15eab8d1e

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-11T15:39:43.763845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:39:43.763845Z digest=sha256:c1a6e7296ec452e1ba983129df3daec47eb5bf619315738a5afdab773741f93b

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:39:44.107490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.770083Z digest=sha256:e293340b64c988d0c0e9b3b0e9a3086b1745961505465e615fb0d661664355a1

Observation 64f92701-6e7e-4e8e-8cda-dc3d0ef0e966 · outbound

This paper cites Yoshida, The η-invariant of hyperbolic 3-manifolds , Invent.

On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{2}}}$ Yoshida, The η-invariant of hyperbolic 3-manifolds , Invent

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:39:44.089822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T15:39:43.775274Z digest=sha256:76586487b10a42984bb88d4321cf88dbf48bd0d0534e4385142bacb7a8817226

Pith citing papers

No inbound Pith citation observations are available.