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Paper Citation Record · LEDGER

Morse matchings and Khovanov homology of 4-strand torus links

As of 10 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2507.15060.

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

pith.paper-citation-record.v1
2507.15060 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:48:36.065691Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

10 of 10 outbound references displayed

  • verified exact4
  • verified fuzzy4
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5341798a-80cc-497a-904b-ffb23c232b39 · outbound

This paper cites Unknotting number and Khovanov homology.

Morse matchings and Khovanov homology of 4-strand torus links Unknotting number and Khovanov homology

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:48:38.191384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:48:34.933119Z digest=sha256:81a4182c1647754ae9f865c4660a3a85b92ead1b7b3a7c26656258ce0eed0179

Observation 2bd4c61a-d58e-47b4-b7c7-30636f4dbdd1 · outbound

This paper cites Reducing Rouquier complexes.

Morse matchings and Khovanov homology of 4-strand torus links Reducing Rouquier complexes

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:48:37.458860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:48:35.802914Z digest=sha256:8d68153bcbbcf5e66ebbd25c7514ef1ea1f1ea0b9a399173aa443ed992a3ddf5

Observation 33531bbc-d125-4794-b025-9912924de196 · outbound

This paper cites Morse Theory from an Algebraic Viewpoint.

Morse matchings and Khovanov homology of 4-strand torus links Morse Theory from an Algebraic Viewpoint

Reference 10

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:48:36.362727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:48:36.065691Z digest=sha256:21528fe3fc5502ff1eaf11a5881cf2a41a05d68bfa6d6aed00c1e987f81890a2

Observation 4e341dac-ba51-43f2-bd4a-eb878a30e11a · outbound

This paper cites On the Khovanov and knot Floer homologies of quasi-alternating links.

Morse matchings and Khovanov homology of 4-strand torus links On the Khovanov and knot Floer homologies of quasi-alternating links

Reference 2008

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:48:36.655352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:48:35.955298Z digest=sha256:4d8fa58f484aad54eac8fbd22f13c0b56949b405b3b835598cf0407cbae618e4

Observation e172a438-ca4d-4c92-aa06-14fc55ab6ba0 · outbound

This paper cites Torsion in thin regions of Khovanov homology.

Morse matchings and Khovanov homology of 4-strand torus links Torsion in thin regions of Khovanov homology

Reference 2017

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:48:37.926827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:48:35.156111Z digest=sha256:52c9c7f4621d2d1c8e83b9fe2c4476d51dd423e3f5f1b8c247a893d97c5151a7

Observation cc352d24-f3ec-426b-bdaa-839f69960814 · outbound

This paper cites Torus link homology.

Morse matchings and Khovanov homology of 4-strand torus links Torus link homology

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-06T15:48:35.282200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:48:35.282200Z digest=sha256:0c7252a1456650f002bdb2313a88641ece156c707c896e0ec3c3e8b6bd8fb15c

Observation c4f961ad-6b38-401c-8374-954efadc25db · outbound

This paper cites Polynomials for torus links from Chern-Simons gauge theories.

Morse matchings and Khovanov homology of 4-strand torus links Polynomials for torus links from Chern-Simons gauge theories

Reference 2021

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:48:36.975377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:48:35.384405Z digest=sha256:033b0a4e0d92e57d597c6033da5222b93bc4de51a563c809cf5975b1b79e2685

Observation bd6e4bb6-eddd-4085-ade5-93b2362ef679 · outbound

This paper cites Khovanov homology and refined bounds for Gordian distances.

Morse matchings and Khovanov homology of 4-strand torus links Khovanov homology and refined bounds for Gordian distances

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-06T15:48:35.615656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:48:35.615656Z digest=sha256:03019ce2832c3abcefcced63c28ac5e2eecf94b20099e5e7efd16d53381969df

Observation 552a0a78-be03-47a2-8cb7-4d35d53a52b4 · outbound

This paper cites A spanning tree model for Khovanov homology, Rasmussen's s-invariant and exotic discs in the $4$-ball.

Morse matchings and Khovanov homology of 4-strand torus links A spanning tree model for Khovanov homology, Rasmussen's s-invariant and exotic discs in the $4$-ball

Reference 2025

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:48:37.178924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:48:35.044499Z digest=sha256:8c5a1bede0003cf601cb9c0b59ee1b12e5ed733ee68dace36800d31fd16b8d3e

Observation fa5e506a-acb4-46c7-a5ad-4dbb42804e50 · outbound

This paper cites A categorification of the Jones polynomial.

Morse matchings and Khovanov homology of 4-strand torus links A categorification of the Jones polynomial

Reference 2306

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:48:37.700059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:48:35.500434Z digest=sha256:104231f1e95571541a44a19882fb2c3ecd0475e1836a3f794f9a2456e94887c6

Pith citing papers

No inbound Pith citation observations are available.