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Paper Citation Record · LEDGER

Torus link homology

As of 23 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 6 inbound Pith citation observations for arXiv:1909.00418.

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

pith.paper-citation-record.v1
1909.00418 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T06:00:04.455944Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:43:07.485993Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T20:23:24.524209Z

Reference resolution

7 of 7 outbound references displayed

  • verified exact2
  • verified fuzzy1
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fb6ea85b-0ac8-44bf-9384-617862928539 · outbound

This paper cites Hilbert schemes and $y$-ification of Khovanov-Rozansky homology.

Torus link homology Hilbert schemes and $y$-ification of Khovanov-Rozansky homology

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T06:00:04.632211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T06:00:04.409010Z digest=sha256:f37092abd68324e2fbf1c91b5e2894f576daf1f3e8cd2e2fa3deae51bd7a491b

Observation eec64c32-a7f0-42c1-ac53-cd7af0657429 · outbound

This paper cites Homology of torus knots.

Torus link homology Homology of torus knots

Reference 7

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T06:00:04.515426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T06:00:04.455944Z digest=sha256:20f4df89bc036f72d0e32a93bd0bfea11286e79f3aef5c34eb9514eaba1576e7

Observation ec4307ce-cf45-461e-ad88-61c7f9fb838b · outbound

This paper cites Torus knots and the rational DAHA.

Torus link homology Torus knots and the rational DAHA

Reference 232

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:00:04.663826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T06:00:04.431071Z digest=sha256:79123e5b9b26effdad6ac7f69feea55baaaad42e23c25f2c8b824052aa5b9ec9

Observation 7bc2edce-6b36-459f-96c4-af9f90319782 · outbound

This paper cites an unresolved cited work.

Torus link homology Unresolved cited work

Reference 566

Resolution
unresolved
raw_fallback, observed 2026-08-14T06:00:04.679463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T06:00:04.425139Z digest=sha256:8dc8b121b1bf6c276e58e46befc218f312a3324de623b4f920b14cfdcc0d2184

Observation a74f5ce3-7be7-43ca-ae49-fa266b1d5bac · outbound

This paper cites Toric braids and $(m,n)$-parking functions.

Torus link homology Toric braids and $(m,n)$-parking functions

Reference 2016

Resolution
verified exact
local_arxiv, observed 2026-08-14T06:00:04.543959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T06:00:04.450015Z digest=sha256:92c78111f90a4dc830d4d03f95e7bc970b61ccb534fe19b8c4623f2d09943168

Observation c6ff96d4-5e6d-4f56-8f47-733554552005 · outbound

This paper cites Khovanov-Rozansky homology and higher Catalan sequences.

Torus link homology Khovanov-Rozansky homology and higher Catalan sequences

Reference 2017

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T06:00:04.570133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T06:00:04.439008Z digest=sha256:f750ddc178405c04e964a6267dce4a96f47e84ae009dd88d2a469a9d758f8e89

Observation 3a7983a6-9dc7-4230-b2ad-d7c6f9c764d0 · outbound

This paper cites Serre duality for Khovanov-Rozansky homology.

Torus link homology Serre duality for Khovanov-Rozansky homology

Reference 2019

Resolution
verified exact
local_arxiv, observed 2026-08-14T06:00:04.603654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T06:00:04.416335Z digest=sha256:fd7ca530683243fe3e8970831dd9c5e51ee3262577d6592939488db51ebf6999

Pith citing papers

Observation 436ae20b-5104-4479-bedd-f0ba1c2c6fca · inbound

The HOMFLY Polynomial of a Forest Quiver cites this paper.

The HOMFLY Polynomial of a Forest Quiver Torus link homology

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-23T20:23:24.528027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-23T20:23:01.213693Z digest=sha256:981c73771bb6f5e9fb1ca32f6ecfdae6cb5bab92a8a143ccc987d732b4fa251d

Observation 626be581-4448-4f61-8e3f-fd10e31e238f · inbound

The Last Three T-degrees in Triply-Graded Link Homology cites this paper.

The Last Three T-degrees in Triply-Graded Link Homology Torus link homology

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-07T15:43:07.485993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:43:07.485993Z digest=sha256:b61c88b9835383290d3b1d3e84cf1f12596a395e6060029fe7948144b21bd60c

Observation c90dcbf0-b112-40e0-b869-baca5cda3473 · inbound

Stable deformed $\mathfrak{gl}_N$ homology of torus knots cites this paper.

Stable deformed $\mathfrak{gl}_N$ homology of torus knots Torus link homology

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-06T21:42:15.664662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:42:15.664662Z digest=sha256:8e049ab098282ca1665827eb92ba2bd989ce04b66cb213f03df86ab54a30a9b2

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

Morse matchings and Khovanov homology of 4-strand torus links cites this paper.

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=sha256:20763bfa5351da07ee79faa84bfb0b85685e88d6edf84814de0f58e45c575dfd

Observation 2dff8501-e3dc-4c18-bbc1-5e9f1e9f0372 · inbound

Hilbert scheme of points on non-reduced nodal curves cites this paper.

Hilbert scheme of points on non-reduced nodal curves Torus link homology

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-13T19:08:10.111545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-13T19:03:08.724198Z digest=sha256:20da93d289a1ef56780fec3609e91423ed93b04c314a8309ecee75ec4a6e9aa0

Observation 7c1271a0-379c-4b54-8cb3-b8e2767e823c · inbound

Instanton slices and their superpolynomials cites this paper.

Instanton slices and their superpolynomials Torus link homology

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-01T01:55:32.383752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T01:55:32.383752Z digest=sha256:9dc4f127fa27dfd6a904336b681b099ef535eabd183a45ab300e9b2883e9fbf0