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Paper Citation Record · LEDGER

Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities

As of 12 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2606.04014.

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

pith.paper-citation-record.v1
2606.04014 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T16:21:10.147500Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

12 of 12 outbound references displayed

  • verified exact10
  • verified fuzzy0
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a22ad4c9-4a25-424a-8240-8ccb4989010f · outbound

This paper cites The 4/3 problem for germs of isolated plane curve singularities.

Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities The 4/3 problem for germs of isolated plane curve singularities

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-28T16:21:10.147500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T16:21:10.147500Z digest=sha256:57ffe02b6ce57a251cc93040c9ab23c954f36e0007d32fd04d2ffbc133f25ded

Observation fd8ad50a-686b-4c09-97aa-b0358eb4c541 · outbound

This paper cites An approach to plane algebroid branches.

Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities An approach to plane algebroid branches

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-01T21:46:15.530042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T16:21:10.147500Z digest=sha256:38afd4409b995e6d2340f1c250afc69f98b5eb5486e255df4165f1f1903df814

Observation e3422440-9577-49e4-812d-0a3d09cd5e99 · outbound

This paper cites A note on the plane curve singularities in positive characteristic.

Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities A note on the plane curve singularities in positive characteristic

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-07-01T21:46:15.527193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T16:21:10.147500Z digest=sha256:fa763c5baa26905fdfd53c7dd0245303325c19637c071ed6bb9fe1a6062cf3b5

Observation 6b366eb6-88af-49f5-b411-2158cb4e54c8 · outbound

This paper cites The log canonical threshold and rational singularities.

Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities The log canonical threshold and rational singularities

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-01T21:46:15.535034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T16:21:10.147500Z digest=sha256:8fca890899bdc5c803e65dae20cbd9cc51ec54950a2dfb2320c7a64ee5c71654

Observation 47d04374-1f60-4174-b5d5-9d2c00599067 · outbound

This paper cites Plus-pure thresholds of some cusp-like singularities in mixed characteristic.

Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities Plus-pure thresholds of some cusp-like singularities in mixed characteristic

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-07-01T21:46:15.521505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T16:21:10.147500Z digest=sha256:adb9f8d5229683c8e9d2cff5058e76f3eb0597654abb142044b1588f4c8cd4f3

Observation dde93fea-32dc-4175-9f6c-9574768cfff6 · outbound

This paper cites Invariants of singularities of pairs.

Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities Invariants of singularities of pairs

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-28T16:21:10.147500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T16:21:10.147500Z digest=sha256:7e0b4c36be7b9ffa05ef97da1e982663cb1eb5e60da9deb7466eb060dcd305b8

Observation 3a9717c1-9371-4a57-bd01-a00e147e4dfc · outbound

This paper cites The splitting lemma in any characteristic.arXiv preprint arXiv:2507.17078,.

Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities The splitting lemma in any characteristic.arXiv preprint arXiv:2507.17078,

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-07-01T21:46:15.524545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T16:21:10.147500Z digest=sha256:9fed75b5e9601cff0bf9c19bf67bef1fdf1ba306ccffbd49d6de684b33d94053

Observation b19b6e41-dfc7-4321-ae98-4d33f5a5518f · outbound

This paper cites F-purity versus log canonicity for polynomials.

Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities F-purity versus log canonicity for polynomials

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-07-01T21:46:15.518396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T16:21:10.147500Z digest=sha256:01166f44df683b042a6b8b58006bad25c61b90b4d60c5a57ee9b95bd5a901820

Observation 77c6b8a1-9c4a-44c7-ac73-462f846cd01d · outbound

This paper cites Which powers of holomorphic functions are integrable?.

Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities Which powers of holomorphic functions are integrable?

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-07-01T21:46:15.532405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T16:21:10.147500Z digest=sha256:73a3a08ea6f0ae365eb0888290e6b88b9f419d6103d9527274996841442d1b6a

Observation c25a7c42-9275-443a-a0ec-01e43370abec · outbound

This paper cites On some invariants of hypersurface singularities.

Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities On some invariants of hypersurface singularities

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-01T21:46:15.511746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T16:21:10.147500Z digest=sha256:04e183736cc482648db46882e31d2233156805c3a91d8c85fab49b5391c03507

Observation 2e231584-74bf-4e04-8eb4-80aa86b4df09 · outbound

This paper cites Detecting and quantifying isolated singularities over discrete valuation rings.arXiv preprint arXiv:2512.18506,.

Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities Detecting and quantifying isolated singularities over discrete valuation rings.arXiv preprint arXiv:2512.18506,

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-07-01T21:46:15.508850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T16:21:10.147500Z digest=sha256:76d1f240317dc2b98710c010fc22187a11113ccf5ad4769d27763c0d7006aa3c

Observation 038d4bcd-b14a-4b5b-8ef2-abb61c116551 · outbound

This paper cites The milnor number of one dimensional local rings.

Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities The milnor number of one dimensional local rings

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-07-01T21:46:15.515181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T16:21:10.147500Z digest=sha256:c3d4db286f2a46f5949a2519a235d33fc13a3f291f7932bad5cb1d24bd8e820a

Pith citing papers

No inbound Pith citation observations are available.