Pith. sign in

Paper Citation Record · LEDGER

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites

As of 9 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2606.10351.

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

pith.paper-citation-record.v1
2606.10351 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T11:25:22.933276Z

measured 20 of 20 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 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

20 of 20 outbound references displayed

  • verified exact5
  • verified fuzzy0
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f073f8a2-674b-491d-a637-b87f1447fad8 · outbound

This paper cites Genus, Fiberedness, $\tau$ and $\epsilon$ of Satellite Knots with $n$-Twisted Generalized Mazur patterns.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Genus, Fiberedness, $\tau$ and $\epsilon$ of Satellite Knots with $n$-Twisted Generalized Mazur patterns

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-07-03T07:57:44.975059Z

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=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:91181e291ab9301f3640c9fa8020ce1b38139f82804a7eaa36bbc87e0bb1661c

Observation 408ec915-80db-4de3-be81-16690d5cf823 · outbound

This paper cites Satellite knots and immersed Heegaard Floer homology.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Satellite knots and immersed Heegaard Floer homology

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-29T13:37:46.901946Z

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=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:e2b2ceac86092c3a57757ae34667ffc6184ce7be76fd65b04bf856058f753d42

Observation 4126c205-eb8b-4173-ad09-efee8b48976a · outbound

This paper cites Applications of the L-space satellite formula.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Applications of the L-space satellite formula

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-07-03T07:57:44.974350Z

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=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:202e0764e1c145d9849237c6bfc33419475d8a6f9c6f09863827603b4a032e53

Observation 62e712a9-0c31-44ab-ac84-8fc980fe2aad · outbound

This paper cites Squeezed knots.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Squeezed knots

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:dd13dd55a96e9f75243e645afcde6e438cb7921a8f841ce124ace15ce958f28e

Observation bd2e9544-5750-4e20-865d-5b4fa4c58592 · outbound

This paper cites Knot Floer homology of Whitehead doubles.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Knot Floer homology of Whitehead doubles

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:9495a7ee5ad32df20e281fe36124a96bd4f3bad2eef9f77eca82af6562ffcf37

Observation 79b14188-804b-4e58-8092-fa2281b3f5f6 · outbound

This paper cites Bordered Heegaard Floer homology and the tau-invariant of cable knots.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Bordered Heegaard Floer homology and the tau-invariant of cable knots

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:8ce48f39ea095caa868b06a469f10c864aaeab6226a593a0889e76ad6fdc2806

Observation 02022815-6cdf-4334-8848-d469acbd555f · outbound

This paper cites Satellites of infinite rank in the smooth concordance group.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Satellites of infinite rank in the smooth concordance group

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:04556153a6dd48e77062cf2929d7da02e250dd0430442bbf40b46fb14f2cda64

Observation 17502d69-ec78-4e4b-b76d-d2405e8fa618 · outbound

This paper cites A 4-dimensional rational genus bound.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites A 4-dimensional rational genus bound

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-03T07:57:44.976888Z

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=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:f961b3c6269531011a924a4b2dc7bf667954516394308aba4778c3ff4e6f88e6

Observation c2ad4842-d7e0-4887-8279-0654c1e90111 · outbound

This paper cites Bordered Floer homology for manifolds with torus boundary via immersed curves.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Bordered Floer homology for manifolds with torus boundary via immersed curves

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:c4ebb616a5d95e7f63d3ca839d4259208b964cd15547947b7abffb8e88d85c7d

Observation bfbb6df2-896d-4ad5-b06d-70bb025a6361 · outbound

This paper cites an unresolved cited work.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:fd13e4db6f3a9428dba7cd8a751469af00fa84b87effeb9e7d7cf556144f9c4d

Observation 59a089d3-8c4b-48a9-9b40-398ba34c334c · outbound

This paper cites Nonsurjective satellite operators and piecewise-linear concordance.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Nonsurjective satellite operators and piecewise-linear concordance

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:7737b9e4a85e296cb73f62f61692855cac72347a71075e6475ad98f5525d95b0

Observation 533eb87f-0214-477d-b277-da3f5e9b8f3a · outbound

This paper cites Rasmussen's spectral sequences and the sl _ N -concordance invariants.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Rasmussen's spectral sequences and the sl _ N -concordance invariants

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:b3e4fa2053aa2e729b28cbb5f276ad5509c55f2eb19bdd48da3d892d0efc8832

Observation acf3c75a-c091-4d76-bfe1-e69d5a4241be · outbound

This paper cites Computations of the Ozsv\'ath -- Szab\'o knot concordance invariant.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Computations of the Ozsv\'ath -- Szab\'o knot concordance invariant

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:ef1018d1afb5cfcec32607a4da3aaf76c5cba692890f607cb2aec2b1074f5206

Observation f182f78d-11e5-496c-9ffc-f40b70dfce58 · outbound

This paper cites an unresolved cited work.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:857efee709f98916cf396000da27706703a94e7f7f819f96c0354f1d0682ebc4

Observation c3d1983f-19da-4e24-bb2c-200da5edb38a · outbound

This paper cites Miller, and Juanita Pinz \'o n-Caicedo.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Miller, and Juanita Pinz \'o n-Caicedo

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:f3f45efef4c65d3347b525178f4fd1d2c7db8e13a0ceba8e48dbe345dc3edc1a

Observation 6a66773a-f027-4c76-8ab2-852934969b27 · outbound

This paper cites Bordered Heegaard Floer homology: Invariance and pairing.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Bordered Heegaard Floer homology: Invariance and pairing

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:a450d9dc8059e7e50515d5926db51cb1d92a967488ad44453bc707133e8a692d

Observation a262ca53-7ba3-414b-a3c4-8e360f54a8f6 · outbound

This paper cites an unresolved cited work.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:055d50d80a199eaeb6c66037dc3e264c5fde4acdf96f8e2f8c0f1aeb5bc29d36

Observation d4c2d72d-7f9b-4507-b0f3-bda92fa20d13 · outbound

This paper cites Knot Floer homology and the four-ball genus.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Knot Floer homology and the four-ball genus

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:3883b15819b9951785bbddae3cef458d558679fd838a32e7dc44967dd5d55277

Observation 676f39ce-26d3-4d22-9406-2e2ecd7690b4 · outbound

This paper cites Generalized Mazur Patterns and Immersed Heegaard Floer Homology.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Generalized Mazur Patterns and Immersed Heegaard Floer Homology

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-07-03T07:57:44.971796Z

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=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:97dbaa48bd817dc1743081ce4c14d9b11ce1384157680df059b6e3c58190be23

Observation f9dfc628-675d-433a-97c2-668393b80b21 · outbound

This paper cites Van Cott.

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites Van Cott

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-27T11:25:22.933276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T11:25:22.933276Z digest=sha256:95942e8d50710cefd797c007dfa77ea2e9cd63446cfa81296a1526e26f6bb8d7

Pith citing papers

No inbound Pith citation observations are available.