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Paper Citation Record · LEDGER

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

As of 11 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:2601.05678.

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

pith.paper-citation-record.v1
2601.05678 v2

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T11:45:08.583294Z

measured 9 of 9 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-13T17:38:35.476523Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T17:43:02.825682Z

Reference resolution

8 of 8 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

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

This paper cites Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties.

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 257022a6-6f7f-4c39-b899-3e378ca173bb · outbound

This paper cites Barthel, J.-P.

Canonical Lattices of Integer Relations Associated to Rational Fans: Wall Generation and a Two-Step Support Filtration Barthel, J.-P

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T11:45:08.557403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:45:08.557403Z digest=sha256:5069e327993ce1ca21b9142491c2ed2ef35982d9ecc136ba58aee5a487554a2c

Observation 05552d2b-a88c-4ec4-8066-d8a574b55761 · outbound

This paper cites an unresolved cited work.

Canonical Lattices of Integer Relations Associated to Rational Fans: Wall Generation and a Two-Step Support Filtration Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T11:45:08.561574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:45:08.561574Z digest=sha256:dd5cfb2fad3eb2c1b094c55cf12ac20aa933c994d2178e48ce8a0f10b4b4b298

Observation 492fc645-ae5c-4fa8-a82d-6696a8a7872c · outbound

This paper cites Sturmfels,Gröbner Bases and Convex Polytopes, University Lecture Series, Vol.

Canonical Lattices of Integer Relations Associated to Rational Fans: Wall Generation and a Two-Step Support Filtration Sturmfels,Gröbner Bases and Convex Polytopes, University Lecture Series, Vol

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T11:45:08.565662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:45:08.565662Z digest=sha256:59b76f280b4e9b82a521b3c0b9c766544e3e7028d60fdf95da355213be184866

Observation 47d6a569-16ae-4508-a5f2-a87f00810ab4 · outbound

This paper cites an unresolved cited work.

Canonical Lattices of Integer Relations Associated to Rational Fans: Wall Generation and a Two-Step Support Filtration Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T11:45:08.569778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:45:08.569778Z digest=sha256:81fa5cbfdd75287a2bbac9945a2a00e011bfb02ffb2b82a12f0bcb08e137f050

Observation fed49a71-84bb-4358-95b1-a90be030ff83 · outbound

This paper cites Fulton,Introduction to Toric Varieties, Annals of Mathematics Studies, 131, Princeton University Press, Princeton, NJ, 1993.

Canonical Lattices of Integer Relations Associated to Rational Fans: Wall Generation and a Two-Step Support Filtration Fulton,Introduction to Toric Varieties, Annals of Mathematics Studies, 131, Princeton University Press, Princeton, NJ, 1993

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T11:45:08.574220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:45:08.574220Z digest=sha256:d99faf80bc698a2a5037e77d21d2922345e560bfc919ae0b4144824ffcaa2cb3

Observation fe75fc9d-2775-46a3-8a67-f4a2524c0ad1 · outbound

This paper cites Batyrev,On the classification of smooth projective toric varieties, Tohoku Math.

Canonical Lattices of Integer Relations Associated to Rational Fans: Wall Generation and a Two-Step Support Filtration Batyrev,On the classification of smooth projective toric varieties, Tohoku Math

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T11:45:08.579138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:45:08.579138Z digest=sha256:5a053393afc234d9fb82ac4dc2414b09c07ed6e1cf24f4047ffd76bdc4ddf2ab

Observation 63918689-9dce-4805-8854-1a9a805fa0a5 · outbound

This paper cites an unresolved cited work.

Canonical Lattices of Integer Relations Associated to Rational Fans: Wall Generation and a Two-Step Support Filtration Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T11:45:08.583294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:45:08.583294Z digest=sha256:68312fb949048135e28a14a028281b3c15b41ec515ec980b0271661770425b9b

Pith citing papers

Observation 4f3d9f7d-20c8-461e-9248-9077c5b0f886 · 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 Canonical Lattices of Integer Relations Associated to Rational Fans: Wall Generation and a Two-Step Support Filtration

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-07-21T03:21:40.855503Z

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:bb913a00ebc54595e472a3c53e3b25923e93877e7e6c8e1c68e4ac053f34508e