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Paper Citation Record · LEDGER

A note on the topological slice genus of satellite knots

As of 16 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:1908.03760.

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

pith.paper-citation-record.v1
1908.03760 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:18:48.292508Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:56:54.876119Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T12:56:55.027385Z

Reference resolution

30 of 30 outbound references displayed

  • verified exact3
  • verified fuzzy14
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f05c8256-28eb-4c9b-a2b1-69ac6697b5bb · outbound

This paper cites On the topological 4-genus of torus knots.

A note on the topological slice genus of satellite knots On the topological 4-genus of torus knots

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:18:48.588613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.729553Z digest=sha256:7f4692293683de4399a833236a5fe4cac55d500417419c85f7c89f2ffa8130d4

Observation 882f9e2f-5910-40ff-a08a-81895229fa55 · outbound

This paper cites an unresolved cited work.

A note on the topological slice genus of satellite knots Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:18:50.164011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.734468Z digest=sha256:37abfc413913e71381dbf6201b70ee68d80797c9086d364c366db6a2c5b12b60

Observation a81588fd-c04b-49d1-8d15-fbd567833399 · outbound

This paper cites an unresolved cited work.

A note on the topological slice genus of satellite knots Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:18:50.050905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.738711Z digest=sha256:204bd42d99ee1c30fdb0533082ae9e9623b42433c5abec028965644bca619476

Observation de00bb21-ad79-48bf-8a83-f537ec836050 · outbound

This paper cites The geometry of the knot concordance space.

A note on the topological slice genus of satellite knots The geometry of the knot concordance space

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:18:49.999755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.742761Z digest=sha256:f41ca8e92312a1f6e2c5ed117d50f566c1c462a6b2d532fce4233e385be62bdb

Observation 5deb6bbe-3fd1-4305-86ec-04352b31e02f · outbound

This paper cites Miller, and Mark Powell.

A note on the topological slice genus of satellite knots Miller, and Mark Powell

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:18:49.904439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.783369Z digest=sha256:3a305012516e74f12ecceaac817d4d259010c2fb3088c2c6b815a2b0f7a9d337

Observation 7c144de7-4a7b-4266-94bb-2bf7f74d684d · outbound

This paper cites The degree of the Alexander polynomial is an upper bound for the topological slice genus.

A note on the topological slice genus of satellite knots The degree of the Alexander polynomial is an upper bound for the topological slice genus

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:18:48.533686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.821172Z digest=sha256:1a18e83df24574e23d76b8cec6b8e2defd0b60a5b26e6a38912f6b75ad460848

Observation 1b7af4c7-9e7b-4f2a-8ace-f2b57c7f8d8b · outbound

This paper cites On classical upper bounds for slice genera.

A note on the topological slice genus of satellite knots On classical upper bounds for slice genera

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:18:48.466189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.825554Z digest=sha256:a20837c594e8121f756a79bdf239f3b4d74e08a3459d07bc19f0503d8e28e42b

Observation 37dbfe1a-d67d-423c-9b7b-4b07e1455378 · outbound

This paper cites Balanced algebraic unknotting, linking forms, and surfaces in three- and four-space.

A note on the topological slice genus of satellite knots Balanced algebraic unknotting, linking forms, and surfaces in three- and four-space

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T14:18:47.830408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:18:47.830408Z digest=sha256:5088b43ae592b3ea4545329cb5e364f1f0e84d4947096f362268471b37cd9aad

Observation f1b6e2b4-b65d-4256-a21e-e0671df79539 · outbound

This paper cites A calculation of B lanchfield pairings of 3-manifolds and knots.

A note on the topological slice genus of satellite knots A calculation of B lanchfield pairings of 3-manifolds and knots

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:18:49.874722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.835818Z digest=sha256:2c48d91b6746563dc012ea574a9b4cdd48f071417df494fcc2d41a308c0db214

Observation 903a3427-84d9-4f74-85a7-05c10c66d32c · outbound

This paper cites Freedman.

A note on the topological slice genus of satellite knots Freedman

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:18:49.809893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.878061Z digest=sha256:aef349896af4e0483abbb4df667b4fd646f8fa76ccd77145ff4f87f50c523448

Observation fe7781e2-a1f1-4405-916f-4787362ebcfe · outbound

This paper cites an unresolved cited work.

A note on the topological slice genus of satellite knots Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:18:49.631531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.881861Z digest=sha256:b52d60ea4fea8e3d9a8f5abc333eb5bb6273be02bddf2226cdb410c945322c4c

Observation c3374520-3701-4055-9b32-8e023dfb477f · outbound

This paper cites Gompf and Andr \'a s I.

A note on the topological slice genus of satellite knots Gompf and Andr \'a s I

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:18:49.615029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.885333Z digest=sha256:73582146357daeb6f0561a4fcc00acc52cc854b1f3b6e57caf734f99d291b6cc

Observation dcf888d1-6138-49c6-b007-de03864c6e44 · outbound

This paper cites Bordered H eegaard F loer homology and the tau-invariant of cable knots.

A note on the topological slice genus of satellite knots Bordered H eegaard F loer homology and the tau-invariant of cable knots

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T14:18:47.890526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:18:47.890526Z digest=sha256:14a737ec20e9d30cb06caf6778b4d1742b353a4d8137d26d9d5c065ce1ef8ad0

Observation 8b54a566-74c6-4224-b74c-9ef62dbe1241 · outbound

This paper cites an unresolved cited work.

A note on the topological slice genus of satellite knots Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:18:49.499830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.894040Z digest=sha256:15f420373138657242621ff575182adc59cacd2da55a345675602e560780afc6

Observation ce0e9239-c640-41ee-bf7e-71c01055aa58 · outbound

This paper cites A S eifert-matrix interpretation of C appell and S haneson's approach to link cobordisms.

A note on the topological slice genus of satellite knots A S eifert-matrix interpretation of C appell and S haneson's approach to link cobordisms

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:18:49.485710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.899874Z digest=sha256:bc3c419ea49168acb537d553b5eb505d5f6c85176d269aae6890ad5f6ab79fa8

Observation 416102a8-6dfe-4374-9c46-9ab4e82e5963 · outbound

This paper cites an unresolved cited work.

A note on the topological slice genus of satellite knots Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:18:49.361393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.936597Z digest=sha256:7d22075dd8fceaedd75703aaeb6323a657b125f8d7344a96bca2c32ee9e32073

Observation 16ef6a06-d44d-43bb-8649-33edb055baa7 · outbound

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

A note on the topological slice genus of satellite knots Nonsurjective satellite operators and piecewise-linear concordance

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:18:49.348225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.941001Z digest=sha256:291a8a9f4f916a275c95f87bcbe2d36abd188b089aa7bfbdeea387e807528a0c

Observation 5617a494-ecbc-4285-81bf-0e83b2779e9f · outbound

This paper cites an unresolved cited work.

A note on the topological slice genus of satellite knots Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-14T14:18:47.946303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:18:47.946303Z digest=sha256:e5c3cbf0e6b7bbb4e657b5d8e22926fb3cc7c1bf2b6662ce9b1495c1590ad97e

Observation f144a71b-fb76-4485-9994-6d9927f9d867 · outbound

This paper cites an unresolved cited work.

A note on the topological slice genus of satellite knots Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:18:49.238354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.949934Z digest=sha256:2e916ab0c0dfb06f0837960f1ae8b191c5075412221ec65b38e35196da218301

Observation e19e645b-7eb8-4aed-a76e-144f8afa62bc · outbound

This paper cites an unresolved cited work.

A note on the topological slice genus of satellite knots Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:18:49.223463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.954491Z digest=sha256:c4405eb6aa6a113c656217879be1e323cb8dccfd09416e132f2389b4327d505c

Observation 4c229de5-28be-465f-9d89-1ea83af3277b · outbound

This paper cites Knot 4-genus and the rank of classes in W( Q(t)).

A note on the topological slice genus of satellite knots Knot 4-genus and the rank of classes in W( Q(t))

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:18:49.118579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:47.958451Z digest=sha256:beea2add38b1fed1a75f73300acb6d75b91e576a66f264b8539e549c51111dfb

Observation 855a462c-7e36-492b-b02a-cd695d4ae67e · outbound

This paper cites Abelian invariants of satellite knots.

A note on the topological slice genus of satellite knots Abelian invariants of satellite knots

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:18:48.998644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:48.022093Z digest=sha256:2b1b9ab9afb6725a2c00216e02b50afcb47cb128d3b7da2cc80c13442331eee5

Observation e1563677-e315-4e1e-b155-67ccddd90e41 · outbound

This paper cites Null homologous twisting and the algebraic genus.

A note on the topological slice genus of satellite knots Null homologous twisting and the algebraic genus

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:18:48.917164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:48.104207Z digest=sha256:e968b6c01ca999a3dd6914f07114639330c7abd79f3729e2d5048394c9cb4121

Observation 942c26ec-3a4d-4f63-904f-1c16908233cb · outbound

This paper cites an unresolved cited work.

A note on the topological slice genus of satellite knots Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:18:48.856506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:48.108142Z digest=sha256:49659118013066a98148498946b54e111436d9892e42d6fd53362bdb9c1a1e0f

Observation 371799a0-1e3d-481c-9caf-73f58d828507 · outbound

This paper cites Some topologically locally-flat surfaces in the complex projective plane.

A note on the topological slice genus of satellite knots Some topologically locally-flat surfaces in the complex projective plane

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-14T14:18:48.111720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:18:48.111720Z digest=sha256:a73420638f423b61881ed16a522b5ce6022d3bff4696de727a4b3bd4e84f00c2

Observation 2454c1f8-50d5-4a76-921f-4f7e56966d52 · outbound

This paper cites Quasipositivity as an obstruction to sliceness.

A note on the topological slice genus of satellite knots Quasipositivity as an obstruction to sliceness

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:18:48.783947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:48.116728Z digest=sha256:32e069bd9f76a794b996471375aefe32c6ed3f91aaf1e271bfc5340ed042885c

Observation 27168a99-db82-40ea-9814-461dfd5df9d4 · outbound

This paper cites Quasipositive plumbing (constructions of quasipositive knots and links.

A note on the topological slice genus of satellite knots Quasipositive plumbing (constructions of quasipositive knots and links

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:18:48.771858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:48.121011Z digest=sha256:732ff7735ee0a9a604f46b6a8294be4ec4c062c6f57849855595e9fbc585214a

Observation a491425a-b309-4c0d-b43b-3d13f691371e · outbound

This paper cites Knoten und V ollringe.

A note on the topological slice genus of satellite knots Knoten und V ollringe

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:18:48.678683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:48.241086Z digest=sha256:6ca61209533f90e5f7877cac911c3af9a101b5fb1ab77a35f213165d4327a799

Observation 195664a8-4fa7-4852-9f1f-128bb99aff79 · outbound

This paper cites an unresolved cited work.

A note on the topological slice genus of satellite knots Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:18:48.665771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:48.288217Z digest=sha256:383a2061763e3a87a41813626d7c6cb0972a45c8c8f623ff91985b8dcacfd64f

Observation ac61b856-9adc-4d10-beb9-476c73a405cb · outbound

This paper cites Tristram.

A note on the topological slice genus of satellite knots Tristram

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:18:48.621383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:18:48.292508Z digest=sha256:45a6f7da441e78dcc309c7cfe663f2ef885bc755de5dad7fd799297bc53c0993

Pith citing papers

Observation 90554420-5a67-4384-bda0-2d3a220ad3e4 · inbound

Gaps between consecutive untwisting numbers cites this paper.

Gaps between consecutive untwisting numbers A note on the topological slice genus of satellite knots

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:56:55.033035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:56:54.876119Z digest=sha256:905eaddee5efd062e9e32de53a0033c2f8f01d144713652a87f83404cf2fb22c