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Paper Citation Record · LEDGER

Smoothly slice knots with smoothly non-approximable topological slice discs

As of 8 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2506.03705.

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

pith.paper-citation-record.v1
2506.03705 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:12:36.873932Z

measured 14 of 14 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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a6952a80-278e-4171-ac46-d08bab80e873 · outbound

This paper cites Sigma 9 (2021), Paper No.

Smoothly slice knots with smoothly non-approximable topological slice discs Sigma 9 (2021), Paper No

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:38.679691Z

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=2026-08-07T11:12:36.005425Z digest=sha256:8b78ad710de34d01b6d26a3dc8399bcb90ace93fc5c04339586c81fc54741dc3

Observation 4969c659-72d0-4d2e-9432-48accebfbea5 · outbound

This paper cites Cochran, Shelly Harvey, and Peter Horn, Filtering smooth concordance classes of topologically slice knots, Geom.

Smoothly slice knots with smoothly non-approximable topological slice discs Cochran, Shelly Harvey, and Peter Horn, Filtering smooth concordance classes of topologically slice knots, Geom

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:38.506090Z

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=2026-08-07T11:12:36.043271Z digest=sha256:6397a6770e80ea753293c9741278de98c78c8dd3c48634a833ba0d09f56ab5e4

Observation 9a65aeca-2278-4da4-9645-e28751c0248b · outbound

This paper cites an unresolved cited work.

Smoothly slice knots with smoothly non-approximable topological slice discs Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:38.385435Z

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=2026-08-07T11:12:36.133647Z digest=sha256:fdd7421be7076517b440ed398ae69f802f494b055cc6def481ee712ae839bc29

Observation 31c48cbb-643c-46a2-aae4-973bba054e54 · outbound

This paper cites Cochran, Kent E.

Smoothly slice knots with smoothly non-approximable topological slice discs Cochran, Kent E

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:38.251469Z

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=2026-08-07T11:12:36.226280Z digest=sha256:8a882879c364171a6afa92303e027d042505bae2e372e1c3ffab7a6f69547058

Observation 0330eb2d-f2e3-464d-bb53-c7fe4d31eac3 · outbound

This paper cites Freedman and Frank Quinn, Topology of 4 -manifolds, Princeton Mathematical Series, vol.

Smoothly slice knots with smoothly non-approximable topological slice discs Freedman and Frank Quinn, Topology of 4 -manifolds, Princeton Mathematical Series, vol

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:38.079530Z

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=2026-08-07T11:12:36.274318Z digest=sha256:5f79d9949ff5821c1029435ab69e3cff01c917b523d176eb2c5f33fb8609985d

Observation 23db73fc-e567-4f97-8a0d-de38741369b7 · outbound

This paper cites Freedman, The disk theorem for four-dimensional manifolds, Proceedings of the I nternational C ongress of M athematicians, V ol.\ 1, 2 ( W arsaw, 1983) (Warsaw), PWN, 1984, pp.

Smoothly slice knots with smoothly non-approximable topological slice discs Freedman, The disk theorem for four-dimensional manifolds, Proceedings of the I nternational C ongress of M athematicians, V ol.\ 1, 2 ( W arsaw, 1983) (Warsaw), PWN, 1984, pp

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:37.929831Z

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=2026-08-07T11:12:36.327323Z digest=sha256:117aa59d278d6385cae478dcad01da32b66f950d548d955a20d538743c6647dc

Observation 601484f7-aef7-409d-aea2-54a9be57a17a · outbound

This paper cites Elisenda Grigsby, Daniel Ruberman, and Sa s o Strle, Knot concordance and H eegaard F loer homology invariants in branched covers , Geom.

Smoothly slice knots with smoothly non-approximable topological slice discs Elisenda Grigsby, Daniel Ruberman, and Sa s o Strle, Knot concordance and H eegaard F loer homology invariants in branched covers , Geom

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:37.771450Z

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=2026-08-07T11:12:36.431520Z digest=sha256:45ed2da31140d3333b93b3938b4a5c6d230e08f8994a3f28807ffdfed7afceb4

Observation b2d6d76c-b0c8-46d4-be50-65ae72ff68be · outbound

This paper cites 52, World Scientific Publishing Co.

Smoothly slice knots with smoothly non-approximable topological slice discs 52, World Scientific Publishing Co

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:37.668940Z

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=2026-08-07T11:12:36.513902Z digest=sha256:9f1c7a3fb259797cb22f4403a33b84b3f34e517faf64067a0ae6a35116705475

Observation 324f0132-6d9a-4f13-97d1-c9905411a6c8 · outbound

This paper cites (N.S.) 28 (2022), no.

Smoothly slice knots with smoothly non-approximable topological slice discs (N.S.) 28 (2022), no

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:37.553459Z

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=2026-08-07T11:12:36.570650Z digest=sha256:9e70eb6b5ad36023cf2c1c719a00b4466639eddaec2e3a8568269d1cd933a612

Observation 0eb2ed4d-ad0d-4b05-be1a-af1a155927b2 · outbound

This paper cites 2, 315--351.

Smoothly slice knots with smoothly non-approximable topological slice discs 2, 315--351

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:37.430326Z

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=2026-08-07T11:12:36.645250Z digest=sha256:c57e3e56e958d5ae07fbcdefcbecf0101300e215da620304c2e8514dc5d0804d

Observation fae3fffa-188f-4fc0-8b62-942a86393b6c · outbound

This paper cites an unresolved cited work.

Smoothly slice knots with smoothly non-approximable topological slice discs Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:37.277497Z

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=2026-08-07T11:12:36.689653Z digest=sha256:d8a60eb558f3f599ca1a84c2e6187a591d3bcbcad85c216aeb2c780b240e3646

Observation b7184bc5-475f-4e6e-936c-1214f928a3f6 · outbound

This paper cites an unresolved cited work.

Smoothly slice knots with smoothly non-approximable topological slice discs Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:37.171550Z

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=2026-08-07T11:12:36.770220Z digest=sha256:d0481aff6e3ed1dbdd64ad88cf26b4d0b36fd393626ff9cc2de2a11c696b747b

Observation 5caa4e05-5a81-4025-bd19-7bbbc0b9d5ce · outbound

This paper cites Venema, Approximating disks in 4-space, Mich.

Smoothly slice knots with smoothly non-approximable topological slice discs Venema, Approximating disks in 4-space, Mich

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:37.088920Z

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=2026-08-07T11:12:36.807192Z digest=sha256:29a8775fb1cd83173ba2784b7d9458845f86551b9f3e5fdf9e7657572f1f0de5

Observation d39966ad-ea02-45ee-b4e7-bc0707266f35 · outbound

This paper cites Venema, Approximating topological surfaces in 4-manifolds, Transactions of the American Mathematical Society 265 (1981), no.

Smoothly slice knots with smoothly non-approximable topological slice discs Venema, Approximating topological surfaces in 4-manifolds, Transactions of the American Mathematical Society 265 (1981), no

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:36.967242Z

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=2026-08-07T11:12:36.873932Z digest=sha256:f4e2c2db37978d0c85743f688e59bdc95e261a0644211a84f176ccef264f7b98

Pith citing papers

No inbound Pith citation observations are available.