Paper Citation Record · LEDGER

Positivity, singularities, and boundedness

As of 21 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2507.18394.

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

pith.paper-citation-record.v1
2507.18394 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:25:51.306034Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

13 of 13 outbound references displayed

verified exact0
verified fuzzy8
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ebe12687-8844-47f6-86cb-17f390693a96 · outbound

This paper cites Birkar, Singularities on Fano fibrations and beyond , arXiv.2305.18770.

Positivity, singularities, and boundedness Birkar, Singularities on Fano fibrations and beyond , arXiv.2305.18770

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T18:25:51.264833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5d59916-336d-4ae4-b14a-e4004d66c473 · outbound

This paper cites Moduli of algebraic varieties.

Positivity, singularities, and boundedness Moduli of algebraic varieties

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T18:25:51.268767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b88204df-3507-4480-bfe8-b656e1e3b531 · outbound

This paper cites Boundedness of Fano type fibrations.

Positivity, singularities, and boundedness Boundedness of Fano type fibrations

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T18:25:51.272971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 759b02ae-ade5-4829-82eb-4dd8076e8d3e · outbound

This paper cites Boundedness and volume of generalised pairs.

Positivity, singularities, and boundedness Boundedness and volume of generalised pairs

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T18:25:51.276992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e880a82d-13d0-4f2a-8e18-0d8d507b7ae9 · outbound

This paper cites Birkar; Geometry of polarised varieties , Pub.

Positivity, singularities, and boundedness Birkar; Geometry of polarised varieties , Pub

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:51.518149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6c87e161-6455-4629-87c3-72b9aa356c1d · outbound

This paper cites Birkar; Singularities of linear systems and boundedness of Fano varieties.

Positivity, singularities, and boundedness Birkar; Singularities of linear systems and boundedness of Fano varieties

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:51.507650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation da8eed30-c11f-484d-98a6-d4e58927e465 · outbound

This paper cites Birkar; Anti-pluricanonical systems on Fano varieties , Ann.

Positivity, singularities, and boundedness Birkar; Anti-pluricanonical systems on Fano varieties , Ann

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:51.497885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation de3d3690-ee88-4e62-a849-0821b9a1ef7f · outbound

This paper cites Birkar; Singularities on the base of a Fano type fibration.

Positivity, singularities, and boundedness Birkar; Singularities on the base of a Fano type fibration

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:51.486235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0f64b1d4-88bb-4adc-8e17-a271d90481fe · outbound

This paper cites Birkar, P.

Positivity, singularities, and boundedness Birkar, P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:51.474064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a2711a28-9314-40d5-a9cc-ee9d849840f6 · outbound

This paper cites Birkar and Y.

Positivity, singularities, and boundedness Birkar and Y

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:51.463964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6474c876-8a75-4e91-98bf-bb95fbe99b0f · outbound

This paper cites Birkar and D-Q.

Positivity, singularities, and boundedness Birkar and D-Q

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:51.454596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 16a3301b-9d4b-4510-bc22-98943d62bbb4 · outbound

This paper cites an unresolved cited work.

Positivity, singularities, and boundedness Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:25:51.444623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 43892b93-d71a-43d7-bde8-10d8ee29c2a8 · outbound

This paper cites Sankaran and F.

Positivity, singularities, and boundedness Sankaran and F

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:51.434395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.