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Paper Citation Record · LEDGER

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase

As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2607.26096.

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

pith.paper-citation-record.v1
2607.26096 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:51:49.426399Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:56:01.804966Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

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  • verified fuzzy0
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c77fac65-c832-411b-b4af-d66fad1421c5 · outbound

This paper cites Immersed Lagrangian Floer Theory.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase Immersed Lagrangian Floer Theory

Reference 1

Resolution
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no resolver link, observed 2026-08-03T01:51:47.364863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:47.364863Z digest=sha256:7702c963219ebdc033f2ca93670150dea9e1712ff17798e3a56bc8acb27c0176

Observation 2cf9cddb-a919-409d-8284-9a8e58a43b09 · outbound

This paper cites Auroux, Lagrangian Floer theory, from geometry to algebra and back again, survey, to appear in Proceedings of the ICM 2026.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase Auroux, Lagrangian Floer theory, from geometry to algebra and back again, survey, to appear in Proceedings of the ICM 2026

Reference 2

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no resolver link, observed 2026-08-03T01:51:47.476041Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:47.476041Z digest=sha256:97f2b218348c1b3154dbb51c28e3e603fcebf398d24f6070d2833565b7a9217d

Observation 4760bb29-c91c-4625-bb19-6f20381478a8 · outbound

This paper cites The correspondence induced on the pillowcase by the earring tangle.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase The correspondence induced on the pillowcase by the earring tangle

Reference 3

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no resolver link, observed 2026-08-03T01:51:47.547643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:47.547643Z digest=sha256:be615d75596ec1447c48cc0059079c5e88c35ba91f190265f895372bd39ae2ac

Observation 049af9c1-59f2-4463-aadb-bdc57691008d · outbound

This paper cites de Silva, J.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase de Silva, J

Reference 4

Resolution
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no resolver link, observed 2026-08-03T01:51:47.639739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:47.639739Z digest=sha256:275e2ff12bfca8e64d3710543a606e39234090bddcf30890527666e39f611390

Observation 2d75135b-ef1b-4521-b0ec-99dd57f68142 · outbound

This paper cites The pillowcase and perturbations of traceless representations of knot groups.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase The pillowcase and perturbations of traceless representations of knot groups

Reference 5

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no resolver link, observed 2026-08-03T01:51:47.780192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:47.780192Z digest=sha256:b6bb5a9d343459fe0bb46bcf22d609b214d9bf21b0f3843f760b3ee14e8027fa

Observation de56bb9a-5a27-4c6b-bdd1-8be8bd1cbbb3 · outbound

This paper cites The pillowcase and traceless representations of knot groups II: a Lagrangian-Floer theory in the pillowcase.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase The pillowcase and traceless representations of knot groups II: a Lagrangian-Floer theory in the pillowcase

Reference 6

Resolution
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no resolver link, observed 2026-08-03T01:51:47.993703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:47.993703Z digest=sha256:053ab291fdd6b4101801c623db37bfbee7a97ee4fbcfaeb0d517be93511397b8

Observation 98f8269d-24e8-4126-a040-c2b32cace706 · outbound

This paper cites An endomorphism on immersed curves in the pillowcase.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase An endomorphism on immersed curves in the pillowcase

Reference 7

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no resolver link, observed 2026-08-03T01:51:48.156662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:48.156662Z digest=sha256:ce8227333797751c2c60bc8add7dc6469c3358d257fb8e71fc65f8b3fab4b861

Observation b042b043-db17-4830-b544-54d6288c9866 · outbound

This paper cites Hironaka, The Lehmer polynomial and pretzel links, Canad.\ Math.\ Bull.\ 44 (2001), 440--451.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase Hironaka, The Lehmer polynomial and pretzel links, Canad.\ Math.\ Bull.\ 44 (2001), 440--451

Reference 8

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no resolver link, observed 2026-08-03T01:51:48.324293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:48.324293Z digest=sha256:33718b33ff1f086788d7682f76e83775c517e60d2d88f4de8e08c2cc3962524f

Observation 341fa42e-4f73-4f92-89d9-a316d7b5ff79 · outbound

This paper cites Knot homology groups from instantons.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase Knot homology groups from instantons

Reference 9

Resolution
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no resolver link, observed 2026-08-03T01:51:48.434919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:48.434919Z digest=sha256:d97843d39338e12eb03f3ed094d32ea1056bc87f4c568e207f69728b037deeac

Observation d6c54c92-1b57-4986-b9ec-ead3e053c460 · outbound

This paper cites Khovanov homology is an unknot-detector.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase Khovanov homology is an unknot-detector

Reference 10

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no resolver link, observed 2026-08-03T01:51:48.472865Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:48.472865Z digest=sha256:0c6715b72d2cbb5a42dcab8662e9eb2ccadec14c06afc67d172e68778ac385d5

Observation 5adf4379-2883-408a-9e2d-09b3bd481952 · outbound

This paper cites Lim, Instanton homology and the Alexander polynomial, Proc.\ Amer.\ Math.\ Soc.\ 138 (2010), 3759--3768.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase Lim, Instanton homology and the Alexander polynomial, Proc.\ Amer.\ Math.\ Soc.\ 138 (2010), 3759--3768

Reference 11

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:48.576083Z digest=sha256:99f37a161b53dc54006d3d0acec78cdbbce3b0082753b8756a23f88c4f0c69da

Observation 2f9ea211-8847-49c0-866a-0076232fc80e · outbound

This paper cites Lin, A knot invariant via representation spaces, J.\ Differential Geom.\ 35 (1992), 337--357.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase Lin, A knot invariant via representation spaces, J.\ Differential Geom.\ 35 (1992), 337--357

Reference 12

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:48.686433Z digest=sha256:764d47fc6200696b716356f39db19d299328a30692e5df5a94a2c9742db9cef3

Observation f3be7ee6-d984-456a-96e4-97e2ac0fe2aa · outbound

This paper cites The Khovanov homology of 3-strand pretzels, revisited.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase The Khovanov homology of 3-strand pretzels, revisited

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T01:51:48.820023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:48.820023Z digest=sha256:dbbda1ef1ecdd7234d10447cf481e5583c86f43f3273b45ef5be7893c12c4c4a

Observation 147b2351-4130-42fd-b41a-d3fef60b88c5 · outbound

This paper cites Perturbed Traceless SU(2) Character Varieties of Tangle Sums.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase Perturbed Traceless SU(2) Character Varieties of Tangle Sums

Reference 14

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source=arxiv_source observed=2026-08-03T01:51:48.946927Z digest=sha256:381fdd9d435727d837dc8b39d27a6290b5c77939532f7724f94da1b03dca52a0

Observation 49d49325-e8a5-498b-8753-e163f1b94614 · outbound

This paper cites Floer Cohomology and Geometric Composition of Lagrangian Correspondences.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase Floer Cohomology and Geometric Composition of Lagrangian Correspondences

Reference 15

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source=arxiv_source observed=2026-08-03T01:51:49.053983Z digest=sha256:23a378a42ab4adcd8791aaba886194ac4412127571cf4d4e9f467af4b9052c01

Observation 0302a55b-9070-4b00-8f18-126f723caa51 · outbound

This paper cites Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots

Reference 16

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no resolver link, observed 2026-08-03T01:51:49.186461Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:49.186461Z digest=sha256:e3c4f2db908aba64d602964da97cc6b121ab4a7356efce8328f9e637d93186fd

Observation 242cc762-772a-45a2-94d1-01fffd984998 · outbound

This paper cites Construction of holomorphic quilts in Cartesian product of closed surfaces.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase Construction of holomorphic quilts in Cartesian product of closed surfaces

Reference 17

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source=arxiv_source observed=2026-08-03T01:51:49.308062Z digest=sha256:685c727f5c17219f5e85cf5783be170b5cff03ce5a5324a5f7efdceb9437cb8a

Observation f6e80da1-b683-48bc-be95-056e545e50dc · outbound

This paper cites Uniqueness of holomorphic quilts lifted from holomorphic bigons on surfaces.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase Uniqueness of holomorphic quilts lifted from holomorphic bigons on surfaces

Reference 18

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:51:49.426399Z digest=sha256:5a64381011d591d3c78118c02e952f23f1e918ad36bd0aafd0acc6e2bb800b14

Pith citing papers

Observation 16c8943f-1383-4b27-85f3-01a6330a340e · inbound

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots cites this paper.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase

Reference 22

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:56:01.804966Z digest=sha256:cc5b220c236ad3bc7932b97661da38caa02d490c943cc424f984435bb0417ba5