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Paper Citation Record · LEDGER

Computing Khovanov homology of tangles

As of 20 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2508.14398.

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

pith.paper-citation-record.v1
2508.14398 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T18:49:52.360960Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T05:16:01.777480Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-27T05:20:35.808784Z

Reference resolution

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 05af6d28-1d58-4faf-84fa-99ef243f7681 · outbound

This paper cites On Khovanov’s categorification of the Jones polynomial.Algebraic & Geo- metric Topology, 2(1):337–370, 2002.

Computing Khovanov homology of tangles On Khovanov’s categorification of the Jones polynomial.Algebraic & Geo- metric Topology, 2(1):337–370, 2002

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:49:52.576641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:49:52.328032Z digest=sha256:b5cc3b62e93b663ff3e0a2f75183b1de8bad1531f1bab1c1a0ccac68dfd3cfd5

Observation 095ba770-418a-46f5-bea7-0afed0ad2e85 · outbound

This paper cites Khovanov’s homology for tangles and cobordisms.Geometry & Topology, 9(3):1443–1499, 2005.

Computing Khovanov homology of tangles Khovanov’s homology for tangles and cobordisms.Geometry & Topology, 9(3):1443–1499, 2005

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:49:52.563993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:49:52.333852Z digest=sha256:6863b0301c94b4e44d5907f1ab34fb96fb3d3454721eb8cbf1a36494a374c19e

Observation 4eb4864d-7f07-410f-a05f-d9ff53c51913 · outbound

This paper cites Fixing the functoriality of Khovanov homol- ogy.Geometry & Topology, 13(3):1499–1582, 2009.

Computing Khovanov homology of tangles Fixing the functoriality of Khovanov homol- ogy.Geometry & Topology, 13(3):1499–1582, 2009

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:49:52.552980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:49:52.337410Z digest=sha256:0ff454a3bebd94dcbe53816444ea0cf2f61e2a8ebb9585bb39dedc365b5b374f

Observation 689a5b8b-e30d-4893-968c-336151cc1bab · outbound

This paper cites A categorification of the Jones polynomial.Duke Math.

Computing Khovanov homology of tangles A categorification of the Jones polynomial.Duke Math

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:49:52.541115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:49:52.340928Z digest=sha256:df23dbf14020e6c0f104cbf51aa9cd02e45bbaf40430b48de140c7daf402c89d

Observation 28d7aa69-897a-475c-a815-d30df764179b · outbound

This paper cites A functor-valued invariant of tangles.Algebraic & Geometric Topology, 2(2):665–741, 2002.

Computing Khovanov homology of tangles A functor-valued invariant of tangles.Algebraic & Geometric Topology, 2(2):665–741, 2002

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:49:52.529484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:49:52.344144Z digest=sha256:13e4e99dddd1e36874294689e5b835c92bcfd61af4cef3e3c379d90a1c6ce236

Observation 734240a5-8c00-46c1-b223-7c69bb147fc6 · outbound

This paper cites Persistent Khovanov homology of tangles.arXiv preprint arXiv:2409.18312, 2024.

Computing Khovanov homology of tangles Persistent Khovanov homology of tangles.arXiv preprint arXiv:2409.18312, 2024

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-05T18:49:52.347870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T18:49:52.347870Z digest=sha256:b1b8dbe991b9eec9576cfec1069d5b69ed0eae0693aeba5bd0697da127960260

Observation 3f66a0df-1c8c-4a26-abe4-1436edb7af1c · outbound

This paper cites Skein lasagna modules and handle decompositions.Advances in Mathematics, 425:109071, 2023.

Computing Khovanov homology of tangles Skein lasagna modules and handle decompositions.Advances in Mathematics, 425:109071, 2023

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:49:52.518534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:49:52.351538Z digest=sha256:1752c8d5ec5aa98de897aca089c257632543438e1417ab4f850f925749124682

Observation 433bcca0-a7a3-4105-8153-8e8dbb5c5930 · outbound

This paper cites Invariants of 4-manifolds from Khovanov- Rozansky link homology.Geom.

Computing Khovanov homology of tangles Invariants of 4-manifolds from Khovanov- Rozansky link homology.Geom

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:49:52.507526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:49:52.354776Z digest=sha256:a2bcae7ccf4745c702a64c929cdac9f1aab3c330413ebd1d12e53b0e5dc75313

Observation 460c0eec-c307-44b6-a646-bd8b3374ac5d · outbound

This paper cites Springer, 2024.

Computing Khovanov homology of tangles Springer, 2024

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:49:52.494792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:49:52.357898Z digest=sha256:7b4ab0c200ebc2060e4e85e61d10538dfbc0aa5f067532252fde8610d05665b1

Observation 5811d4bb-8ff6-4118-8a07-c05cd78a8fb7 · outbound

This paper cites Khovanov homology of tangles: algorithm and compu- tation.In preparation, 2025.

Computing Khovanov homology of tangles Khovanov homology of tangles: algorithm and compu- tation.In preparation, 2025

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:49:52.476892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:49:52.360960Z digest=sha256:76d4b93365b42e9e079b669dd6d79314d61123f9e39d52f36fcd7f5dff01e2ff

Pith citing papers

Observation f11efde8-4d1f-4898-97dd-b5f5bf1010e0 · inbound

Khovanov homology: pro-tangles, derived colimits and spectral sequences cites this paper.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Computing Khovanov homology of tangles

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-06-27T05:20:35.810647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-27T05:16:01.777480Z digest=sha256:8ba19c2416f81d3fc4a24592a2b8d46258a1363cd725d61fbcd16f2dcd33b2f5