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Paper Citation Record · LEDGER

Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties

As of 11 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 3 inbound Pith citation observations for arXiv:2512.06755.

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

pith.paper-citation-record.v1
2512.06755 v2

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T18:14:18.247600Z

measured 13 of 13 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T11:45:08.552189Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T17:43:02.829827Z

Reference resolution

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 80a960e3-b141-4ac2-bf65-3ba72df2e951 · outbound

This paper cites Barthel, J.-P.

Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties Barthel, J.-P

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T18:14:17.382016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T18:14:17.382016Z digest=sha256:aa44f65681b511344d647d48a9b770d88285aa14cfe58d5406fd497f97bdcea4

Observation 87376a45-8994-481f-9d0d-33ed8c7a6354 · outbound

This paper cites Bressler and V.

Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties Bressler and V

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T18:14:17.468895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T18:14:17.468895Z digest=sha256:33df0983a400a83eb1bb60a5510ed440340c759d3baf8ec6152847120cc6824b

Observation 34669592-e9f8-416f-814e-d200721a662e · outbound

This paper cites an unresolved cited work.

Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T18:14:17.570124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T18:14:17.570124Z digest=sha256:9ad59af5cf9b9676bf5ce8cc3d17a6006badfb9df6b5d9f184d33518c63954d9

Observation 198a6a97-ac41-4b11-9d63-d9c527f22a41 · outbound

This paper cites an unresolved cited work.

Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T18:14:17.681451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T18:14:17.681451Z digest=sha256:0b281d9bc951b48bf753d5b47bdffe213e64773acdb04e0ec6d01c1392792ef4

Observation e9abf94d-61f0-4c91-81eb-4bc232ce3648 · outbound

This paper cites an unresolved cited work.

Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T18:14:17.789330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T18:14:17.789330Z digest=sha256:e50ce100e6a5c0527e784841b505944e7ff10a9b1af695cdaf7d72b1b5ea99d4

Observation b2a4d659-3da2-4b52-af8b-44c284a022f5 · outbound

This paper cites Fieseler,Rational intersection cohomology of projective toric varieties, J.

Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties Fieseler,Rational intersection cohomology of projective toric varieties, J

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T18:14:17.881585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T18:14:17.881585Z digest=sha256:98a3b2f34188b7458b1a691f59d15db5f264d7574f4971270f65ecadf3e0a6ef

Observation 42ace671-8eee-498c-9614-023452f4b2ac · outbound

This paper cites Fulton,Introduction to Toric Varieties, Annals of Mathematics Studies, 131.

Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties Fulton,Introduction to Toric Varieties, Annals of Mathematics Studies, 131

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T18:14:18.005369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T18:14:18.005369Z digest=sha256:9a3595b6bf492ed20c0ab58cf76cec74a2d27a23a22f83bfdd666ca92678f4e2

Observation 53559f3f-ea11-4e75-ade2-39b27afe32fa · outbound

This paper cites Goresky and R.

Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties Goresky and R

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T18:14:18.086488Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T18:14:18.086488Z digest=sha256:ac869412e69ffc021ac4b486881bdb60ec042582eb80ec3a493f6816bd82d897

Observation 7eb565f2-f34b-4693-9a45-dbe3b2d2a421 · outbound

This paper cites Karu,Hard Lefschetz theorem for nonrational polytopes, Invent.

Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties Karu,Hard Lefschetz theorem for nonrational polytopes, Invent

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T18:14:18.165066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T18:14:18.165066Z digest=sha256:433125a1600f3b2aae0bb4062af84b1edd61cf116def813b81fdf94bd18d1170

Observation 515aab9c-aecf-42a2-a448-0812e73f50e4 · outbound

This paper cites Saito,Mixed Hodge Modules, Publ.

Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties Saito,Mixed Hodge Modules, Publ

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T18:14:18.247600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T18:14:18.247600Z digest=sha256:110ecd8c92184679efd8bf9ca7c1be2b562bb8579358d2bdc92af4c200a84ca3

Pith citing papers

Observation cc536a8c-5216-41a5-bf56-9c22811ddde8 · inbound

Canonical Lattices of Integer Relations Associated to Rational Fans: Wall Generation and a Two-Step Support Filtration cites this paper.

Canonical Lattices of Integer Relations Associated to Rational Fans: Wall Generation and a Two-Step Support Filtration Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T11:45:08.552189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:45:08.552189Z digest=sha256:def1f88feccfa4b4831895e25c83958eb21310a10a9a5fde510b315df5173f1c

Observation 06c3014d-c8f7-41a1-a251-4156471a3741 · inbound

Document-Level Numerical Reasoning across Single and Multiple Tables in Financial Reports cites this paper.

Document-Level Numerical Reasoning across Single and Multiple Tables in Financial Reports Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-13T12:37:06.743787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T12:37:06.743787Z digest=sha256:318aa6edee2d8aa856f92b55a5856677b6ed9e3300f93045a4ef7f7010ce8ef6

Observation 7f46a785-f748-4853-90af-e2b3195e70b1 · inbound

Explainable PQC: A Layered Interpretive Framework for Post-Quantum Cryptographic Security Assumptions cites this paper.

Explainable PQC: A Layered Interpretive Framework for Post-Quantum Cryptographic Security Assumptions Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-06-30T02:16:12.020153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-13T17:38:35.476523Z digest=sha256:5e0d9844a9e79f19c4763651fabbf258a5fc5d7a97573cd8fd1149e85495e95b