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Paper Citation Record · LEDGER

Parameterwise Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions

As of 19 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 2 inbound Pith citation observations for arXiv:2606.24373.

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

pith.paper-citation-record.v1
2606.24373 v2

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T12:33:02.017455Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T10:40:22.656846Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T08:36:59.695104Z

Reference resolution

7 of 7 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved5
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 848e28c7-cea8-484c-8fd6-ab3369b693be · outbound

This paper cites Incidences with pfaffian curves and functions, 2023.arXiv:2311.

Parameterwise Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions Incidences with pfaffian curves and functions, 2023.arXiv:2311

Reference 1

Resolution
malformed identifier
doi_truncated, observed 2026-07-12T12:38:50.199380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-12T12:33:02.017455Z digest=sha256:1f6e6a6c25e50f260b7abb51dbaa9af73283715a8e63b870e7c8b38c75fa2a8e

Observation 31a4cd08-85f6-4413-b94c-873c35dd7f53 · outbound

This paper cites 3.3 [GV04] Andrei Gabrielov and Nicolai Vorobjov.

Parameterwise Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions 3.3 [GV04] Andrei Gabrielov and Nicolai Vorobjov

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-12T12:33:02.017455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T12:33:02.017455Z digest=sha256:3739e1f026503f6ce05c4cdd3d50a2c429ac7d432f12e6c7d948b191ee533ad1

Observation dbc170e0-ca04-4163-91e4-3904ed5024a5 · outbound

This paper cites 21 [Ily02] Yu.

Parameterwise Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions 21 [Ily02] Yu

Reference 3

Resolution
verified exact
doi, observed 2026-07-12T12:38:50.188579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-12T12:33:02.017455Z digest=sha256:22cf5797913b5916f17a9cb2c6f1f4207b847098c5ad8b17f58dc582666c3fd9

Observation 315ae798-bcdd-4770-889b-8388a0631eda · outbound

This paper cites Fewnomials and Pfaff manifolds.

Parameterwise Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions Fewnomials and Pfaff manifolds

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-12T12:33:02.017455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T12:33:02.017455Z digest=sha256:527529002178f582de8f0e4cac4e424ba90ea760a717ca0ca5b48ba2c38ade8c

Observation 9e9d685c-3e23-4404-90cf-12b5bdc2117a · outbound

This paper cites 1.2, 4 [NS25] Abhiram Natarajan and Adam Sheffer.

Parameterwise Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions 1.2, 4 [NS25] Abhiram Natarajan and Adam Sheffer

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-12T12:33:02.017455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T12:33:02.017455Z digest=sha256:ccfc2ea04f257624a2b2bf93f53fa151b24f23e13b2222512cc40706355e40b0

Observation e4b7ba21-4858-4bf3-b17c-a59f2b19b1c6 · outbound

This paper cites 4 [Spe99] Patrick Speissegger.

Parameterwise Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions 4 [Spe99] Patrick Speissegger

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-12T12:33:02.017455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T12:33:02.017455Z digest=sha256:601cebdb50363ba4212c408d000a2129d2e4efbc81091a0a3a16ff664b88ce1a

Observation a0195e3d-4a0d-4e7e-b126-9ae6b7c3f445 · outbound

This paper cites Springer Interna- tional Publishing, Cham, 2016.doi:10.1007/978-3-319-32162-2_15.

Parameterwise Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions Springer Interna- tional Publishing, Cham, 2016.doi:10.1007/978-3-319-32162-2_15

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-12T12:33:02.017455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T12:33:02.017455Z digest=sha256:99cbf042c10364ec44054456dc79b2d8ba1ab63188fc4c31c8b417d31fb8d767

Pith citing papers

Observation d02f6626-ec25-4f78-b802-6edc8ae7c614 · inbound

Tubular Neighbourhoods of Pfaffian Sets and Applications to Neural Networks cites this paper.

Tubular Neighbourhoods of Pfaffian Sets and Applications to Neural Networks Parameterwise Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-07-10T08:36:59.696720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-07-10T08:35:49.166277Z digest=sha256:339897a8a4fd6df29de7068a9147e301fb385516115ce9613fb930944cfdee13

Observation 94fe236d-00f6-4239-a10b-e4e4da08d9f3 · inbound

Khovanskii's Bezout-type Theorem for Pfaffian Functions: A Self-Contained Proof, and Applications cites this paper.

Khovanskii's Bezout-type Theorem for Pfaffian Functions: A Self-Contained Proof, and Applications Parameterwise Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T10:40:22.656846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:40:22.656846Z digest=sha256:c5e31092a6ead1303adab10d099cbed783902821ddf4a06bce2fec3d8fa7c0a1