Paper Citation Record · LEDGER

Positive geometries and canonical forms via mixed Hodge theory

As of 11 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 4 inbound Pith citation observations for arXiv:2501.03202.

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

pith.paper-citation-record.v1
2501.03202 v3

Coverage vector

measured 33 of 33 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-10T22:03:08.701963Z

measured 37 of 37 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:26:34.227151Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T16:18:38.533780Z

Reference resolution

33 of 33 outbound references displayed

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External citation measurements

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Outbound references

Observation d173492e-9482-4a10-9fa6-f7fdbdba28c0 · outbound

This paper cites write newline.

Positive geometries and canonical forms via mixed Hodge theory write newline

Reference 1

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Observation 7434400f-f676-466d-8515-c83832f4f57a · outbound

This paper cites Arkani - Hamed, Y.

Positive geometries and canonical forms via mixed Hodge theory Arkani - Hamed, Y

Reference 2

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Observation 7df6dbc4-65c4-4ff6-b0e2-03c28331f1aa · outbound

This paper cites Arkani - Hamed, S.

Positive geometries and canonical forms via mixed Hodge theory Arkani - Hamed, S

Reference 3

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Observation 5ceef943-40e8-4fe4-8607-efacf5069bf6 · outbound

This paper cites Arkani - Hamed and J.

Positive geometries and canonical forms via mixed Hodge theory Arkani - Hamed and J

Reference 4

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Observation 62e6e93a-5620-4b50-bbe4-f16a902af9df · outbound

This paper cites Brown and C.

Positive geometries and canonical forms via mixed Hodge theory Brown and C

Reference 5

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Observation 83dfbe44-5139-4893-8299-54e7d74cdeb6 · outbound

This paper cites Bloch, H.

Positive geometries and canonical forms via mixed Hodge theory Bloch, H

Reference 6

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Observation 56a2b300-dfe2-472c-a56b-60018ed12e17 · outbound

This paper cites Brauner, C.

Positive geometries and canonical forms via mixed Hodge theory Brauner, C

Reference 7

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Observation 7b924fab-0d91-4f06-922c-0dc92b3baa47 · outbound

This paper cites Brieskorn, Sur les groupes de tresses [d'apr\`es V.

Positive geometries and canonical forms via mixed Hodge theory Brieskorn, Sur les groupes de tresses [d'apr\`es V

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:03:09.162704Z

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Observation a2f85ff8-a587-483f-b223-771f60aef5f1 · outbound

This paper cites Brown, Notes on motivic periods, Communications in Number Theory and Physics 11 (2017) http://dx.doi.org/10.4310/CNTP.2017.v11.n3.a2, no.

Positive geometries and canonical forms via mixed Hodge theory Brown, Notes on motivic periods, Communications in Number Theory and Physics 11 (2017) http://dx.doi.org/10.4310/CNTP.2017.v11.n3.a2, no

Reference 9

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Observation 4b872605-61e7-4a3e-bdf8-58541f39c0a8 · outbound

This paper cites Chataur and J.

Positive geometries and canonical forms via mixed Hodge theory Chataur and J

Reference 10

Resolution: verified exact; doi, observed 2026-08-10T22:03:08.840466Z

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Observation 13f3973e-e565-4c8b-85f1-b5c9cf5ea661 · outbound

This paper cites an unresolved cited work.

Positive geometries and canonical forms via mixed Hodge theory Unresolved cited work

Reference 11

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Observation 87575ebb-a1f1-43d5-a9c1-dcc7336693e9 · outbound

This paper cites Deligne and A.

Positive geometries and canonical forms via mixed Hodge theory Deligne and A

Reference 12

Resolution: verified exact; doi, observed 2026-08-10T22:03:08.823854Z

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Observation 3101bdf5-a3bc-4fcc-93a3-ef228fa368fa · outbound

This paper cites Deligne, Th\' e orie de H odge.

Positive geometries and canonical forms via mixed Hodge theory Deligne, Th\' e orie de H odge

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:03:09.152073Z

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Observation 46bdfe3c-fbdb-459b-a370-a8118f9d88b8 · outbound

This paper cites 1, 5--57.

Positive geometries and canonical forms via mixed Hodge theory 1, 5--57

Reference 14

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Observation b1e5da42-0c26-4cfb-8777-1b9bdb621088 · outbound

This paper cites 1, 5--77.

Positive geometries and canonical forms via mixed Hodge theory 1, 5--77

Reference 15

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Observation 42ea9fff-eae4-4c5f-972d-aa734b154949 · outbound

This paper cites Dimca, http://dx.doi.org/10.1007/978-3-319-56221-6 Hyperplane arrangements.

Positive geometries and canonical forms via mixed Hodge theory Dimca, http://dx.doi.org/10.1007/978-3-319-56221-6 Hyperplane arrangements

Reference 16

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Observation 6d41967f-e02e-4f8a-bb97-135b0b44ce62 · outbound

This paper cites Positive del Pezzo Geometry.

Positive geometries and canonical forms via mixed Hodge theory Positive del Pezzo Geometry

Reference 17

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Observation 3c91a1c4-3931-4907-9984-65069751984c · outbound

This paper cites Hatcher, Algebraic topology, Cambridge University Press, Cambridge, 2002.

Positive geometries and canonical forms via mixed Hodge theory Hatcher, Algebraic topology, Cambridge University Press, Cambridge, 2002

Reference 18

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Observation e32db07f-0687-4e56-bd5e-04d5db8f3baf · outbound

This paper cites Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero.

Positive geometries and canonical forms via mixed Hodge theory Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero

Reference 19

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Observation 65334d63-f2ed-4a03-9211-482279448680 · outbound

This paper cites Hirzebruch, Topological methods in algebraic geometry.

Positive geometries and canonical forms via mixed Hodge theory Hirzebruch, Topological methods in algebraic geometry

Reference 20

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Observation 9e5bab2d-29c2-40d1-bcdc-71ba0530295a · outbound

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Positive geometries and canonical forms via mixed Hodge theory Unresolved cited work

Reference 21

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Observation 1d898296-e711-4ca1-b6df-06463d0ef1a6 · outbound

This paper cites Huybrechts, The geometry of cubic hypersurfaces http://dx.doi.org/10.1017/9781009280020, Cambridge Studies in Advanced Mathematics, Cambridge University Press, 2023.

Positive geometries and canonical forms via mixed Hodge theory Huybrechts, The geometry of cubic hypersurfaces http://dx.doi.org/10.1017/9781009280020, Cambridge Studies in Advanced Mathematics, Cambridge University Press, 2023

Reference 22

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Positive geometries and canonical forms via mixed Hodge theory Unresolved cited work

Reference 23

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Observation ac5f4b02-383f-4851-bd21-79e29fda5bc1 · outbound

This paper cites an unresolved cited work.

Positive geometries and canonical forms via mixed Hodge theory Unresolved cited work

Reference 24

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Observation 246c3b17-c9ae-4ce3-8cc0-0d514a6a03e8 · outbound

This paper cites Lam, An invitation to positive geometries, Open problems in algebraic combinatorics, Proc.

Positive geometries and canonical forms via mixed Hodge theory Lam, An invitation to positive geometries, Open problems in algebraic combinatorics, Proc

Reference 25

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Observation a680a19d-400a-424e-a4c9-a213172bdc7c · outbound

This paper cites Moduli spaces in positive geometry.

Positive geometries and canonical forms via mixed Hodge theory Moduli spaces in positive geometry

Reference 26

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Observation bd6822ce-1eee-42b0-9b81-ee0d0212f4fe · outbound

This paper cites Nagata, Imbedding of an abstract variety in a complete variety, Journal of Mathematics of Kyoto University 2 (1962) http://dx.doi.org/10.1215/kjm/1250524969, 1--10.

Positive geometries and canonical forms via mixed Hodge theory Nagata, Imbedding of an abstract variety in a complete variety, Journal of Mathematics of Kyoto University 2 (1962) http://dx.doi.org/10.1215/kjm/1250524969, 1--10

Reference 27

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Observation 4d08d5c4-d63c-4098-bf91-f036c602cf25 · outbound

This paper cites Orlik and L.

Positive geometries and canonical forms via mixed Hodge theory Orlik and L

Reference 28

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Observation 04e4be56-f32e-4c2d-bdfb-6f61ad741aa4 · outbound

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Positive geometries and canonical forms via mixed Hodge theory Orlik and H

Reference 29

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Observation 2e5ff94a-fa74-42ec-a6c7-677a85a53c55 · outbound

This paper cites Serre, G\' e om\' e trie alg\' e brique et g\' e om\' e trie analytique , Annales de l'Institut Fourier (Grenoble) 6 (1955/56) http://dx.doi.org/10.5802/aif.59, 1--42.

Positive geometries and canonical forms via mixed Hodge theory Serre, G\' e om\' e trie alg\' e brique et g\' e om\' e trie analytique , Annales de l'Institut Fourier (Grenoble) 6 (1955/56) http://dx.doi.org/10.5802/aif.59, 1--42

Reference 30

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Observation 5ce8fdda-4533-4c9b-9e54-96394860785e · outbound

This paper cites Szenes, Iterated residues and multiple Bernoulli polynomials , International Mathematics Research Notices 1998 (1998) http://dx.doi.org/10.1155/S1073792898000567, no.

Positive geometries and canonical forms via mixed Hodge theory Szenes, Iterated residues and multiple Bernoulli polynomials , International Mathematics Research Notices 1998 (1998) http://dx.doi.org/10.1155/S1073792898000567, no

Reference 31

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Observation 3d260339-b6a9-47a5-88c9-c4d59ac20395 · outbound

This paper cites Voisin, http://dx.doi.org/10.1017/CBO9780511615344 Hodge theory and complex algebraic geometry.

Positive geometries and canonical forms via mixed Hodge theory Voisin, http://dx.doi.org/10.1017/CBO9780511615344 Hodge theory and complex algebraic geometry

Reference 32

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Positive geometries and canonical forms via mixed Hodge theory Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-10T22:03:08.701963Z

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Pith citing papers

Observation 72669772-3700-4365-a6b9-bf1ad306cf8c · inbound

Positive Geometry of Polytopes and Polypols cites this paper.

Positive Geometry of Polytopes and Polypols Positive geometries and canonical forms via mixed Hodge theory

Reference 9

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Observation a5787cfe-c1af-4392-a2ee-d757f174bf25 · inbound

Koba-Nielsen local zeta functions, convex subsets, and generalized Selberg-Mehta-Macdonald and Dotsenko-Fateev-like integrals cites this paper.

Koba-Nielsen local zeta functions, convex subsets, and generalized Selberg-Mehta-Macdonald and Dotsenko-Fateev-like integrals Positive geometries and canonical forms via mixed Hodge theory

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-05-19T05:22:06.488595Z

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Observation adbd1b1c-93a4-416a-96f7-006b123e80c6 · inbound

Towards Motivic Coactions at Genus One from Zeta Generators cites this paper.

Towards Motivic Coactions at Genus One from Zeta Generators Positive geometries and canonical forms via mixed Hodge theory

Reference 183

Resolution: verified exact; arxiv_id, observed 2026-05-19T00:31:56.386511Z

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Observation ff7d29ec-bcb3-4c44-9d31-42f7f9fd41c0 · inbound

A Graphical Coaction for FRW Integrals from Partial/Relative Twisted (Co)homology cites this paper.

A Graphical Coaction for FRW Integrals from Partial/Relative Twisted (Co)homology Positive geometries and canonical forms via mixed Hodge theory

Reference 70

Resolution: verified exact; arxiv_id, observed 2026-07-03T16:18:38.535205Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.