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Paper Citation Record · LEDGER

Smoothly slice knots with Alexander polynomial 1 and high unknotting number

As of 18 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2507.15592.

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

pith.paper-citation-record.v1
2507.15592 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:40:09.470751Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

15 of 15 outbound references displayed

  • verified exact10
  • verified fuzzy3
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2f796f5d-4d0b-4126-81e2-00243b3e684c · outbound

This paper cites Alishahi: Unknotting number and Khovanov homology , Pac.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Alishahi: Unknotting number and Khovanov homology , Pac

Reference 1

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:40:10.253745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T15:40:09.425689Z digest=sha256:1aaf4a957e253123dd0f2cd08a740131fe7af04c557733ae0f8cb1f89cf4c0e5

Observation 9ed7912a-9c29-4f52-8ae2-da1c7adb762f · outbound

This paper cites Alishahi and E.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Alishahi and E

Reference 2

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:40:10.184518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T15:40:09.429217Z digest=sha256:049aa947100efed87165f57c9cefef54f75d87dd8c23a86fdafb898212054abd

Observation 0993c720-a0a8-4080-97ce-77dd81dce951 · outbound

This paper cites Brittenham and S.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Brittenham and S

Reference 3

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:40:10.100345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T15:40:09.432312Z digest=sha256:7b2d847e271b80129aa656d9aa6ada043a93f53e57b7cbe049636629830bd162

Observation f77ab429-0223-48ec-8f12-060728379251 · outbound

This paper cites an unresolved cited work.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:40:10.291029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T15:40:09.435493Z digest=sha256:460a431a2c212a7e85f4fc5f3bc9700bf83ca7198a6468a0dac1399a203949fd

Observation 8c9283b6-c68b-40e3-a0d3-15ffb3abce2d · outbound

This paper cites Feller and L.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Feller and L

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:40:10.282186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T15:40:09.439462Z digest=sha256:f92de6553e0b3f8f560f35e94da475a35e25573563330d7187c5ddc30a3ae15a

Observation 02cefca0-2481-42f1-aa57-0a4fd9853a19 · outbound

This paper cites Hom: A survey on Heegaard Floer homology and concordance , J.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Hom: A survey on Heegaard Floer homology and concordance , J

Reference 6

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:40:10.023815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T15:40:09.442557Z digest=sha256:4b027c9d731592719dff5fcee8fc4ea6027a5432f89ccb2de3b01aea5960ab1d

Observation 6324b83c-23b8-44e2-93b5-03507d43740e · outbound

This paper cites Juh \'a sz, M.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Juh \'a sz, M

Reference 7

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:40:09.945789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T15:40:09.445709Z digest=sha256:8bf138fe6f660c029843c9fa88d8792a40f01eefb3851a8167ef8018108ead43

Observation bf315b31-0c0c-41e3-9087-b1c56a1ded5f · outbound

This paper cites Lewark: Computer calculations accompanying this paper, 2025.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Lewark: Computer calculations accompanying this paper, 2025

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:40:10.272571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T15:40:09.448823Z digest=sha256:533175a66e7cd2a05ab0566c288435eee73aed8b2a47ca4a5e0aaffb7eeabdd8

Observation 2b945b50-ed43-4cda-9ac3-06ce7caebdca · outbound

This paper cites Manolescu and M.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Manolescu and M

Reference 9

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:40:09.879062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T15:40:09.451521Z digest=sha256:040469dba3cd569d987256770a840a4c67c273bb05591ca6776e7aba61d6b90b

Observation 48302d7d-c401-42d9-9e63-c7b3bd027a12 · outbound

This paper cites Ozsv \'a th and Z.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Ozsv \'a th and Z

Reference 10

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:40:09.802303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T15:40:09.454461Z digest=sha256:256b8fd49f95b04bc5f25d3f9ee3b3ce54516d70289f50de70571bc8892b6657

Observation bcac22ea-8964-485b-9b6a-7e319c3c92ca · outbound

This paper cites Floer homology and knot complements.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Floer homology and knot complements

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T15:40:09.457586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T15:40:09.457586Z digest=sha256:6bc834e6a99aa31dd90a5e9b1e190d98e885d1ba457c9608dd65fe1d8cbb79f3

Observation 4f57546b-a822-410d-8fa6-b0fefcc847c4 · outbound

This paper cites an unresolved cited work.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Unresolved cited work

Reference 12

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:40:09.726440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T15:40:09.461523Z digest=sha256:4b589ce114ac85c7c0e8c893204d8ebdf12123891d2ae83d4bdc2f02cde6ab81

Observation d676b1a0-ccea-40db-937c-4a28f63f163a · outbound

This paper cites Szab\' o : Knot F loer H omology C alculator version 3 , 2017.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Szab\' o : Knot F loer H omology C alculator version 3 , 2017

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:40:10.263392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T15:40:09.464674Z digest=sha256:0f56297bde769868aab01ed68f8c227059b2967c9dafd8456dbd46ad223a73b9

Observation ff3d1d48-7e24-40d2-8593-a9d6d8950461 · outbound

This paper cites Wendt: Die gordische Aufl \"o sung von Knoten , Math.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Wendt: Die gordische Aufl \"o sung von Knoten , Math

Reference 14

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:40:09.643627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T15:40:09.467695Z digest=sha256:39196f598ea58dd18dfca91d7a1917c5ed55c9e60afa4b4e4bbe8f3266eaf3ea

Observation 4410a4d6-eabf-40eb-b452-d9cad6e1db77 · outbound

This paper cites an unresolved cited work.

Smoothly slice knots with Alexander polynomial 1 and high unknotting number Unresolved cited work

Reference 15

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:40:09.559149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T15:40:09.470751Z digest=sha256:cde420a47c435ef2a656a818d364523f503906a75477aca232a7077e6709df82

Pith citing papers

No inbound Pith citation observations are available.