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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:a006665d71b15cbcee7d79eac03d42bed71425a4cba5c426d6628bf72eb932da

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:a90848a31a2c2f90e81ee6abc2fa2a4a71c4a426c7dfc329106a44d31d3c374f

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:a16b11cca525bd34d17b407f4f7f78f754d8529a99b88860718a0114488f0cb1

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:f2d196b3523dcc9fcb5d7260884b6ebc53b98fbb17eccb36cb12a1eb04712551

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:d04a68434244734e5f9efb333dd60a7c0850a84b3d146f1baf578a24b3e57047

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:aa796d74795f528e1f84d7b9ac16925f18688969aca7e7372fa4d08bf414187b

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:a58afe8db83e6535d4cca9f7ec75ec5714f7d4327c1e5c1ffc5f7a7e2dd238e5

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=sha256:8e45cb72c13b2cc0e3d62ad9ec23c0fa3aa276a2d1f6c0eecf35d0650ba5fd33

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:d1a5491a6769c2ed33cf18e5997ecf6d6cdfa5d5758b7a1a0a5f21421c08c963

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=sha256:5b269e65311c2de75e2b60593bbf32f0730c7a19b39003d0f6a903e739878019

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:bf79af842baebc5b8579084c56d82c07e6e35e1fa237e53a82156f0bc17e9249

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:cc840ad036a5ccf644ef5feb6a816805e30946e0aa003717bfeab0caac8f08d1

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:ba45035be9238ca04d331af795a47625c6483cf0e1b02c2258d9aae09767c771

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=sha256:312856a8915f47adeccd6447465c549d61155af9207ceb772338e19135161447

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=sha256:5aabce963f6a786b7a57d07a00b25553c7a2bc310285ad5ef9761e39a0777f8c

Pith citing papers

No inbound Pith citation observations are available.