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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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.623361Z digest=sha256:b91133476aad0e0159ad50460a214eb82e3125632f5135527e1703dd26ba819b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.628910Z digest=sha256:9d7de887adb5c1b270fcf2a62386dc60e8df38ed74a5db8dd177c6ad5f2f8692

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.634293Z digest=sha256:1baeafbf9f58931975cb8e77145ba1c23c2edae76ad297a7284fe12b96b079dd

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.638992Z digest=sha256:0312f790e9c49c367a9d4b8be37eb798b2ee42f614183b1eaf482e3639eba51e

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.644139Z digest=sha256:28ffc301e98b559708d2c1788a41321cbeecf2d27fb64c08937f9807631ace63

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.649342Z digest=sha256:6cbfe5a87a521e919113541aa96d98708e473dcd8eaa5aab27399fdf87563a1e

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.654775Z digest=sha256:a76378d927fcb3559a3669174fcc1ce2c15844b21fe1dd2fc687ccbaddbd962f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.659872Z digest=sha256:f97e75a168b06508fbc09fee090f01c816d2d19bd5d38a3b01dc321cb6471ff7

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.664831Z digest=sha256:5c8942cb60f79ea7e1e2772017b1eae3cbc2215dfc09f441ab8d7ac0585db1f6

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.670834Z digest=sha256:b145740e05acfdeded62ffb77899d3370f3210f45b1cb515519d9aeea269ca89

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.675488Z digest=sha256:0c6489f9562097d16008276d85aedc6d23c306e3158b4867a7185e90112ec4bf

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.680902Z digest=sha256:5314e1c0954424ae4296023b6f728f652b4b6d240ec11f57a016c07378a46563

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.685937Z digest=sha256:3b06a309780bd8bd65400177f9b789673bbe3540b9c38c1bc594b0e3c9475fe5

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.691132Z digest=sha256:fc963e6b92b495705cf590ba535645706b86ae46f2b966577b4e6ad4ce6b80e7

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.695827Z digest=sha256:d78d9cc334f2766cafb08fa9a818dc4a5d836386c126848dbcbd6321e0731f7b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.700903Z digest=sha256:7cb00399379a21063477261dce3bde97d0783935a53f03e35635f117f4496126

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.706490Z digest=sha256:38dea5700d15a78998c10a6f56abfe6bd9221e484756fb838a1dd106400acd52

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.711504Z digest=sha256:0d1725a4a5bc31b77df0761300b6928389c28625c7efcd57d451964de71365bf

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.716880Z digest=sha256:68b3f13fd8182ca7b00e52904e3c2e8768b79294ccddc7b6adb58bb844f1a94a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.723368Z digest=sha256:1ddce36881114d911ec61a04fc291b157af0b1910748d3761060ab2f4f4269ab

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.729075Z digest=sha256:fcff93992c867e00066492b72d45397b97cb43d18cfc87fd535032b686a84b09

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.735529Z digest=sha256:b29847ded2c1728ed1d2c085aaf735ac9f638f8af9fae0aa7cae175c88576a87

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.741598Z digest=sha256:38d92955554b309088b6549bf01a91ae0df0629deba30327c9b9790d513c1f8b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.746650Z digest=sha256:5d9574c915d086e526ce673a26a8003f43592ae116c0c055bc075aa3526ba629

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.752595Z digest=sha256:9c1a8aa08c20bc842a336a1e395ef32672ae0ba96d920c25f7471861c7567416

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.758113Z digest=sha256:1d419d107e7130226a52de858fe60d1275ec91c002121bedd9876d3bef55ec13

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.770083Z digest=sha256:9c31b5fbbe0b1a22b6bfea627450c73dea92a335b8f2d94d63da363d3feb76bd

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:39:43.775274Z digest=sha256:682c97293d6e252692b1349ecad02a9b8c4255a048ec11545408fd150b9325b5

Pith citing papers

No inbound Pith citation observations are available.