Paper Citation Record · LEDGER

Null-homologous twisting and the algebraic genus

As of 17 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:1908.04043.

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

pith.paper-citation-record.v1
1908.04043 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:05:44.261577Z

measured 17 of 17 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 2026-08-14T05:40:19.075172Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T05:40:19.133015Z

Reference resolution

16 of 16 outbound references displayed

verified exact1
verified fuzzy10
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 566bacc0-5a7c-470c-b080-5c7cbe4ab44d · outbound

This paper cites On the algebraic unknotting number.

Null-homologous twisting and the algebraic genus On the algebraic unknotting number

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:44.142995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e25f35c0-a3a2-48e4-8010-72808ec23b49 · outbound

This paper cites The unknotting number and classical invariants, I.

Null-homologous twisting and the algebraic genus The unknotting number and classical invariants, I

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:44.150418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ec04cda-3c0d-498d-bf93-c54139ff9712 · outbound

This paper cites Baader, P.

Null-homologous twisting and the algebraic genus Baader, P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:05:44.645599Z

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.

Observation 0fa2e05e-f125-444a-9713-0285cb979975 · outbound

This paper cites The stable 4-genus of alternating knots.

Null-homologous twisting and the algebraic genus The stable 4-genus of alternating knots

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:05:44.622929Z

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.

Observation b4bd8bc8-e8b0-4e61-af35-0e4e30db1833 · outbound

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

Null-homologous twisting and the algebraic genus The degree of the A lexander polynomial is an upper bound for the topological slice genus

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:05:44.601484Z

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.

Observation 124509c3-ce94-4bfc-b108-41d522dfc3ce · outbound

This paper cites On classical upper bounds for slice genera.

Null-homologous twisting and the algebraic genus On classical upper bounds for slice genera

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:05:44.577496Z

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.

Observation 56703bcd-c74e-4d0e-8d31-f379145d6f06 · outbound

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

Null-homologous twisting and the algebraic genus Balanced algebraic unknotting, linking forms, and surfaces in three- and four-space

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:05:44.354802Z

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.

Observation 7e95f391-68c7-443d-9998-c249be38a488 · outbound

This paper cites On 2-bridge knots with differing smooth and topological slice genera.

Null-homologous twisting and the algebraic genus On 2-bridge knots with differing smooth and topological slice genera

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:05:44.551845Z

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.

Observation 88f89ea3-77ef-4b95-949c-c67ed1ed311d · outbound

This paper cites Feller, A.

Null-homologous twisting and the algebraic genus Feller, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:05:44.532094Z

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.

Observation 7e40c605-1f3f-422d-89e2-dd8b05db0936 · outbound

This paper cites The topology of four-dimensional manifolds.

Null-homologous twisting and the algebraic genus The topology of four-dimensional manifolds

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:44.213678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89affc71-204c-412e-aada-28014076587d · outbound

This paper cites Raymond Lickorish.

Null-homologous twisting and the algebraic genus Raymond Lickorish

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:05:44.482683Z

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.

Observation a7f38c33-87ec-4cd8-8a6a-c609d87984bb · outbound

This paper cites Positive braid knots of maximal topological 4-genus.

Null-homologous twisting and the algebraic genus Positive braid knots of maximal topological 4-genus

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:05:44.457429Z

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.

Observation 8abee2ba-068a-4c42-a591-4d70321862cc · outbound

This paper cites Null-homologous unknottings.

Null-homologous twisting and the algebraic genus Null-homologous unknottings

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:44.235649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da545a5b-605e-436e-80e7-2451fdb75e7b · outbound

This paper cites On calculating the slice genera of 11- and 12-crossing knots.

Null-homologous twisting and the algebraic genus On calculating the slice genera of 11- and 12-crossing knots

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:05:44.434919Z

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.

Observation 19864aa9-f36f-44c6-b0c7-f8a3bd117025 · outbound

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

Null-homologous twisting and the algebraic genus Some topologically locally-flat surfaces in the complex projective plane

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:05:44.406675Z

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.

Observation 331263f3-f08c-41ef-88a7-873eacd86e54 · outbound

This paper cites an unresolved cited work.

Null-homologous twisting and the algebraic genus Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:05:44.384910Z

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.

Pith citing papers

Observation 18737f3c-0fe2-41da-8713-a9374f0308a5 · inbound

Untwisting 3-strand torus knots cites this paper.

Untwisting 3-strand torus knots Null-homologous twisting and the algebraic genus

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:40:19.140464Z

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.