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Paper Citation Record · LEDGER

The link surgery formula and equivariant surgeries

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2507.12809.

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

pith.paper-citation-record.v1
2507.12809 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:44:58.620422Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:39:37.709218Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T10:39:39.154261Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy4
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b1b7be91-5b4b-492b-9b9c-a32e2d29c829 · outbound

This paper cites 3, 1427–1452.

The link surgery formula and equivariant surgeries 3, 1427–1452

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:00.308429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:44:57.512378Z digest=sha256:b54dc5c45012fefe08b201413f678bc9cd9933515a8106b83b83b472f07e5bff

Observation e5f5a1ec-8cac-4bb5-b908-5ea9fe64ae09 · outbound

This paper cites an unresolved cited work.

The link surgery formula and equivariant surgeries Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:44:59.647882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:44:58.280410Z digest=sha256:7c73dd3820cd76c4642ac9898a6f2777f953cd9dbf24c84b28156f88bb27e281

Observation 68c4cdd6-9331-4eca-a3a2-4f4c0b3f9493 · outbound

This paper cites Invariant splitting principles for the Lipshitz--Ozsv\'ath--Thurston correspondence.

The link surgery formula and equivariant surgeries Invariant splitting principles for the Lipshitz--Ozsv\'ath--Thurston correspondence

Reference 44

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T16:44:59.301627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:44:57.732820Z digest=sha256:89e7004ea4a7915078c69d8bf59e7164303d3ed866776bd6d008aadf6bb902df

Observation 45cddaf2-80e8-49ec-94dd-c1f2468b4011 · outbound

This paper cites Milnor, Spin structures on manifolds , Enseign.

The link surgery formula and equivariant surgeries Milnor, Spin structures on manifolds , Enseign

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:45:00.010321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:44:57.972960Z digest=sha256:aaca3ef11c1a4efda0ce6d228bd51f418e6dc3f4c1a5f17c4a00514d5f5e2a79

Observation e142ca6d-64b2-48da-8830-616f812fd21d · outbound

This paper cites New constructions and invariants of closed exotic 4-manifolds.

The link surgery formula and equivariant surgeries New constructions and invariants of closed exotic 4-manifolds

Reference 112

Resolution
unresolved
no resolver link, observed 2026-08-06T16:44:57.904446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:44:57.904446Z digest=sha256:8ad177251b9b7ce539a0e2e9cbafc9f4c7e280f848e8a8dc9b12b5a9942a9863

Observation c87ccdd8-4ed0-423a-87c0-b4557a0c3a44 · outbound

This paper cites Reine Angew.

The link surgery formula and equivariant surgeries Reine Angew

Reference 1974

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:59.910538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:44:58.133460Z digest=sha256:d19dd22fa4e78d8f570b41f521f6787f28bf03793db1c7833bd640e80496e872

Observation cd9dd70a-28f2-4650-a496-4e510f47d936 · outbound

This paper cites an unresolved cited work.

The link surgery formula and equivariant surgeries Unresolved cited work

Reference 1997

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:45:00.166290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:44:57.575186Z digest=sha256:c361af594105c4653d8de3a57f8d806241b4cd82011685c267b29799c5dabd9b

Observation c6781f4f-c044-45e7-bcb8-4295ec7a99c0 · outbound

This paper cites [Sak01] Makoto Sakuma, Surgery description of orientation-preserving periodic maps on compact orientable 3-manifolds , Rend.

The link surgery formula and equivariant surgeries [Sak01] Makoto Sakuma, Surgery description of orientation-preserving periodic maps on compact orientable 3-manifolds , Rend

Reference 2003

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:59.769455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:44:58.197940Z digest=sha256:4e3d38c283397e4d99c701aaaba359f1b3709111b05d63beb8847f22980f7def

Observation b169222e-fb69-4d60-8ce9-e55671b0838e · outbound

This paper cites an unresolved cited work.

The link surgery formula and equivariant surgeries Unresolved cited work

Reference 2008

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:44:59.510236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:44:58.348702Z digest=sha256:8a81bbf0559f33bb545fd9e52fec1d2ede10ec1f0d02edd6eccef1212cfd3594

Observation 55b8c2f1-766b-4817-af37-35add6c52431 · outbound

This paper cites [Mon75] Jos´ e M.

The link surgery formula and equivariant surgeries [Mon75] Jos´ e M

Reference 2010

Resolution
unresolved
no resolver link, observed 2026-08-06T16:44:58.027824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:44:58.027824Z digest=sha256:f49dab9940080acf3334ea6b60ac632f12f5d65fcbe116b0ce36dee88eca1c11

Observation b62f8350-69bb-49c1-a9c7-0966e35c0f4b · outbound

This paper cites [Zem17] , Quasistabilization and basepoint moving maps in link Floer homology , Algebr.

The link surgery formula and equivariant surgeries [Zem17] , Quasistabilization and basepoint moving maps in link Floer homology , Algebr

Reference 2015

Resolution
unresolved
no resolver link, observed 2026-08-06T16:44:58.424598Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:44:58.424598Z digest=sha256:6ad72ccec68cb0a4255301dfe3c8992353c33d62681d4a5b94b628fb3d57cec6

Observation b3f7eb36-9774-4969-8198-c429be270738 · outbound

This paper cites Surgery exact triangles in involutive Heegaard Floer homology.

The link surgery formula and equivariant surgeries Surgery exact triangles in involutive Heegaard Floer homology

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-06T16:44:57.811121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:44:57.811121Z digest=sha256:97778a4c1b35ea171f9ec6a7a34a1a4cb5c1e3616714be3faec64feb1001f2b4

Observation d8058e49-6035-41da-862e-cc6e263a5949 · outbound

This paper cites Bordered manifolds with torus boundary and the link surgery formula.

The link surgery formula and equivariant surgeries Bordered manifolds with torus boundary and the link surgery formula

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-06T16:44:58.509057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:44:58.509057Z digest=sha256:3e2503eca7087c70ae3495bcc5500b54d8d8b7b2a997c9d4187e0f209345a837

Observation 31b2dfdb-9ec7-4a6a-882c-178dcd94969f · outbound

This paper cites A general Heegaard Floer surgery formula.

The link surgery formula and equivariant surgeries A general Heegaard Floer surgery formula

Reference 2023

Resolution
verified exact
local_arxiv, observed 2026-08-06T16:44:58.822841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T16:44:58.620422Z digest=sha256:08303e28e50af79a3ac0237a79e507896f7beb95cde02cc53cd50fac5f8001eb

Observation d6af7570-8fb2-4833-9368-ac2eb3e4ec39 · outbound

This paper cites L-space satellite operators and knot Floer homology.

The link surgery formula and equivariant surgeries L-space satellite operators and knot Floer homology

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-06T16:44:57.667753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:44:57.667753Z digest=sha256:40417b91326894ad96045830d5237be19c0d2fb97f3f2f41b4ced502d4e28c13

Pith citing papers

Observation 8069b7d5-c461-4613-844c-3ec43bb98ab5 · inbound

Unbounded Gaps Between Ordinary and Equivariant Dehn Surgery Numbers cites this paper.

Unbounded Gaps Between Ordinary and Equivariant Dehn Surgery Numbers The link surgery formula and equivariant surgeries

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-05T10:39:39.192069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:39:37.709218Z digest=sha256:1bc9769d9c487e81c02b602b9598ae95448390f3546991c16dcff3deb43145cf