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Paper Citation Record · LEDGER

Noether-type inequalities for big divisors via control of the negative part

As of 11 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2510.08089.

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

pith.paper-citation-record.v1
2510.08089 v2

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T11:02:34.794490Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 141ccd14-6142-422d-9c08-00b4372d603f · outbound

This paper cites Beauville, \'application canonique pour les surfaces de type g\'en\'eral.

Noether-type inequalities for big divisors via control of the negative part Beauville, \'application canonique pour les surfaces de type g\'en\'eral

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T11:02:34.025273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T11:02:34.025273Z digest=sha256:277ad17c3616bdebefee323487654abbc8d5aa8e47c250b88d8a866a3f6c0d6d

Observation d00b4168-0296-489e-ba3a-e1b22d6e6c60 · outbound

This paper cites Brunella, Birational geometry of foliations, IMPA Monographs, 1.

Noether-type inequalities for big divisors via control of the negative part Brunella, Birational geometry of foliations, IMPA Monographs, 1

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-04T11:02:34.070791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T11:02:34.070791Z digest=sha256:a95b6089291cf2b82f339f154ada7d9fb1fe43254fc05dee31450fefa78fa000

Observation 12d0f510-38a8-40d7-832b-cc24122d6b8e · outbound

This paper cites Chen and Meng Chen.

Noether-type inequalities for big divisors via control of the negative part Chen and Meng Chen

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T11:02:34.141388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T11:02:34.141388Z digest=sha256:75d9e05db7773c4f3ec87ac760b61a6a38fc249ded4bfc282fe7549a2ced86cf

Observation 4efca1e1-44d2-4a84-9566-f54fa00519fc · outbound

This paper cites Hartshorne.

Noether-type inequalities for big divisors via control of the negative part Hartshorne

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T11:02:34.228834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T11:02:34.228834Z digest=sha256:e177bfdce0cf624557ba5677e68e10d2c218e7243261bbeb5563fa3eccee2f86

Observation 69d431c6-98cd-43cb-ba74-9f4d494d832b · outbound

This paper cites Springer-Verlag, New York, 2001.

Noether-type inequalities for big divisors via control of the negative part Springer-Verlag, New York, 2001

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T11:02:34.316850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T11:02:34.316850Z digest=sha256:32efac163b19914f63d9789cbb805a6f4c6d6848aef7590907acd00b38343a86

Observation 20674397-5287-4327-a48a-e042b618af3d · outbound

This paper cites The Poincar\'e Problem for a foliated surface.

Noether-type inequalities for big divisors via control of the negative part The Poincar\'e Problem for a foliated surface

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-04T11:02:34.458510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T11:02:34.458510Z digest=sha256:dfaca373e0243f27586e1289921886a6037223dbe3e47a51ca602724fa9754a6

Observation 8e454fd3-b253-462c-a1af-37cdbece086e · outbound

This paper cites McQuillan, Canonical models of foliations, Pure and Applied Mathematics Quarterly, (Special Issue: In honor of Fedor Bogomolov, Part 2 of 2) 4 (2008), no.

Noether-type inequalities for big divisors via control of the negative part McQuillan, Canonical models of foliations, Pure and Applied Mathematics Quarterly, (Special Issue: In honor of Fedor Bogomolov, Part 2 of 2) 4 (2008), no

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-04T11:02:34.557944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T11:02:34.557944Z digest=sha256:cfe95a5d16beb7532c6ef052173f2f8ac31b2a2aaa2e29a25782c30e8d4273db

Observation 56c9ef65-8855-4599-905e-162ae21fad21 · outbound

This paper cites Nagata, On rational surfaces.

Noether-type inequalities for big divisors via control of the negative part Nagata, On rational surfaces

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T11:02:34.614027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T11:02:34.614027Z digest=sha256:ee4f2eac31cbe0d66637a56f83138d0d04f5f8d3d6f6ee425df9681007c694a4

Observation d51470b7-50b9-4205-8f15-753837877097 · outbound

This paper cites an unresolved cited work.

Noether-type inequalities for big divisors via control of the negative part Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-04T11:02:34.681414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T11:02:34.681414Z digest=sha256:856afa74b110d5d106116ec87554f09a68a77488c3cdb9767662cb8968e9da52

Observation a84abce8-00f5-4da5-8ff7-33fb840df099 · outbound

This paper cites Tsunoda and De-Qi Zhang, Noether's inequality for non-complete algebraic surfaces of general type, Publ.

Noether-type inequalities for big divisors via control of the negative part Tsunoda and De-Qi Zhang, Noether's inequality for non-complete algebraic surfaces of general type, Publ

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-04T11:02:34.740900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T11:02:34.740900Z digest=sha256:53c43d12a35e2ffef73b28bba6ad1a2488f660262bed4fdb6534569fdde7838b

Observation 4433f037-07c8-4c10-8d66-0c647752a6d0 · outbound

This paper cites Zariski, The theorem of Riemann-Roch for higher multiples of an effective divisor on an algebraic surface, Ann.

Noether-type inequalities for big divisors via control of the negative part Zariski, The theorem of Riemann-Roch for higher multiples of an effective divisor on an algebraic surface, Ann

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-04T11:02:34.794490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T11:02:34.794490Z digest=sha256:c9f22c27deb3c49261f480dbb8e877612310875019dbffa8038002eb7db96182

Pith citing papers

No inbound Pith citation observations are available.