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Paper Citation Record · LEDGER

Tropicalization of $\psi$ classes

As of 12 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 2 inbound Pith citation observations for arXiv:2412.02817.

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

pith.paper-citation-record.v1
2412.02817 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:13:56.762162Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T20:58:45.931875Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T09:38:42.064394Z

Reference resolution

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy18
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 61d8fa58-37ae-40d4-a7a3-8d0c62fcc8cc · outbound

This paper cites The tropicalization of the moduli space of curves.

Tropicalization of $\psi$ classes The tropicalization of the moduli space of curves

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:13:57.562008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.543766Z digest=sha256:5dd6de1e68fa876ea2932b6311a696bdfab2ef2c4d8ba8d4e8df01380e089b2f

Observation 550ebd7b-f345-4dad-9659-6892f53a0266 · outbound

This paper cites Billera, Susan P.

Tropicalization of $\psi$ classes Billera, Susan P

Reference 2

Resolution
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no resolver link, observed 2026-08-11T23:13:56.556234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T23:13:56.556234Z digest=sha256:74dc645818a4915dc18c8bdea95829ee7f6f3d22382ceb386b746f8cb740b11a

Observation 84ce84c5-5298-4015-847e-41b264849a65 · outbound

This paper cites Gonality of algebraic curves and graphs.

Tropicalization of $\psi$ classes Gonality of algebraic curves and graphs

Reference 3

Resolution
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raw_fallback, observed 2026-08-11T23:13:57.512842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.563232Z digest=sha256:dfb8006b523b4d8deba8f6fec4dd05759f61ae8528bbcb06d9ee9b8b51412dc5

Observation 559e288f-7133-4680-8628-c76343ad3228 · outbound

This paper cites Tropical complexes.

Tropicalization of $\psi$ classes Tropical complexes

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.569343Z digest=sha256:36e00c1fff44758bfeabf392f6a112bd3212d488ed6e88f70b9d260e832e09d7

Observation 6863d7fb-fbe5-4468-8e13-519ff51e1420 · outbound

This paper cites A moduli stack of tropical curves.

Tropicalization of $\psi$ classes A moduli stack of tropical curves

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:13:57.458374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.576953Z digest=sha256:33ab394013bf3a8b79ef757612b8147740886f8ca214de9f35facea7ab2566c2

Observation a62b4c7a-7eec-499a-ab0a-94115692951e · outbound

This paper cites Tropical \( \) classes.

Tropicalization of $\psi$ classes Tropical \( \) classes

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:13:57.427014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.583877Z digest=sha256:99d0bec7b35c89828e47c0b3546c8fd0505d526663d1f25019b31821b0d94ed4

Observation 32438814-8f4c-4724-982f-68bfd8cb8285 · outbound

This paper cites Topology of moduli spaces of tropical curves with marked points.

Tropicalization of $\psi$ classes Topology of moduli spaces of tropical curves with marked points

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:13:57.385811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.592792Z digest=sha256:c0b9356d72acd641c1e5d0d15330e00c45df9f9cbd3cbc761783ac3ee771725d

Observation ae639c04-cad1-4fa3-833e-f691d4da8543 · outbound

This paper cites Tropicalizing the space of admissible covers.

Tropicalization of $\psi$ classes Tropicalizing the space of admissible covers

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T23:13:56.600187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T23:13:56.600187Z digest=sha256:cd87db326905efa8ccb8608b263679ace4291d17a63a22fcb0c3d7d0f6977c2f

Observation f4ede489-8f3a-4d7a-a7ca-192cec05fa59 · outbound

This paper cites Cocycles on tropical varieties via piecewise polynomials.

Tropicalization of $\psi$ classes Cocycles on tropical varieties via piecewise polynomials

Reference 9

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.606752Z digest=sha256:8f89d451a1527911d0e2f2fee200021e23f13f853faea4d9b862e477b3fd50bd

Observation 4e67715b-9086-420e-907d-abc7a6cbe96a · outbound

This paper cites Matroid polytopes, nested sets and Bergman fans.

Tropicalization of $\psi$ classes Matroid polytopes, nested sets and Bergman fans

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:13:57.303788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.613396Z digest=sha256:b5798635017b213939f7210c0ace62178ad473e4888c565e8fbc6ff6eb379323

Observation 7b5b81cc-c1de-45c1-bedd-4560f5a32894 · outbound

This paper cites Forms on Berkovich spaces based on harmonic tropicalizations.

Tropicalization of $\psi$ classes Forms on Berkovich spaces based on harmonic tropicalizations

Reference 11

Resolution
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no resolver link, observed 2026-08-11T23:13:56.626664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T23:13:56.626664Z digest=sha256:2b99176d46618dd983a856cfd1a976eed70ea2a0d765d34c372a33db5d620e86

Observation e8d312f1-711b-4e46-85a8-1cb0bff590f2 · outbound

This paper cites Logarithmic intersections of double ramification cycles.

Tropicalization of $\psi$ classes Logarithmic intersections of double ramification cycles

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:13:57.278421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.637929Z digest=sha256:42b419dd52f1505f77263141c3f42f530e56c372c8e88e961ab615e11018a253

Observation dee92ffd-bc6f-4b4f-a01d-ff859fc1c8cf · outbound

This paper cites Topological recursive relations in H^ 2g ( M_ g,n ).

Tropicalization of $\psi$ classes Topological recursive relations in H^ 2g ( M_ g,n )

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:13:57.250460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.645607Z digest=sha256:2bb21f6efe856164f6d8bf74f1a00368bd3e3762369c4aea5d94774d43a51e2e

Observation ecd784db-00b3-40d2-9f8b-16c1d10b07ff · outbound

This paper cites Lefschetz (1,1) -theorem in tropical geometry.

Tropicalization of $\psi$ classes Lefschetz (1,1) -theorem in tropical geometry

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:13:57.209624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.658360Z digest=sha256:b1d1bd37c083e6af5665c48b5dd524200fe27c11bbbe20e97b550c7d236d8caf

Observation fb3abc44-107f-4cb3-9f15-affc703e4562 · outbound

This paper cites Tropical toric geometry.

Tropicalization of $\psi$ classes Tropical toric geometry

Reference 15

Resolution
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no resolver link, observed 2026-08-11T23:13:56.668444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T23:13:56.668444Z digest=sha256:25244415767a5d875aebd4d9102e121cb37eca1f0572b3bf2416184b0fe778b7

Observation f9466288-9192-4c8f-877f-5ee12506e8f2 · outbound

This paper cites Tropical intersection theory from toric varieties.

Tropicalization of $\psi$ classes Tropical intersection theory from toric varieties

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:13:57.146670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.681328Z digest=sha256:17a181d4127ff8759b7a985409c582f5dbc2bd9768a324bc2f6f8f1d6bf1fddc

Observation 08b6de6b-de70-42a9-8712-0d4b9c19eae4 · outbound

This paper cites Kempf, Finn Faye Knudsen, D.

Tropicalization of $\psi$ classes Kempf, Finn Faye Knudsen, D

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T23:13:56.687302Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T23:13:56.687302Z digest=sha256:e11772e36bf126563a1c75d8446f5690856f00b009f59851a6a7c305bcd1cc18

Observation f4eb2bdd-f18e-4983-9508-266ff41e7d55 · outbound

This paper cites Notes on psi classes.

Tropicalization of $\psi$ classes Notes on psi classes

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:13:57.103319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.694021Z digest=sha256:4052177f127b4f59eedf19551773c530d388bc2c7d9fb37932eef09244ea920d

Observation 1af3e959-161c-4ac0-acd9-84620f522d0b · outbound

This paper cites okova G eometry- T opology C onference 2006 , pages 39--51. G\.

Tropicalization of $\psi$ classes okova G eometry- T opology C onference 2006 , pages 39--51. G\

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:13:57.079503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.703721Z digest=sha256:b1175a48c441485c43c4fb35123cd156c16940b3ab787f49531c2a123ee50723

Observation 7559a0d8-230b-4121-b024-98f24db2d8bf · outbound

This paper cites Molcho, R.

Tropicalization of $\psi$ classes Molcho, R

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:13:57.042807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.709792Z digest=sha256:7d668065e836ea733e860fb1a67a9d46f9fbf441def7e0c0eb1157f0c7d02d0d

Observation 581ad294-8885-4d58-a1a8-c6753704c837 · outbound

This paper cites A case study of intersections on blowups of the moduli of curves.

Tropicalization of $\psi$ classes A case study of intersections on blowups of the moduli of curves

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:13:57.004329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.715001Z digest=sha256:1311d09ba8beac0333cd1e832e3a4297b900d71b230d39a75f449f113c9353b1

Observation 5f46514f-c148-4c54-8c89-06e77743b4c1 · outbound

This paper cites Introduction to tropical geometry , volume 161 of Graduate Studies in Mathematics.

Tropicalization of $\psi$ classes Introduction to tropical geometry , volume 161 of Graduate Studies in Mathematics

Reference 22

Resolution
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no resolver link, observed 2026-08-11T23:13:56.728051Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T23:13:56.728051Z digest=sha256:3851cb91ffff7dbb1b0ff404a57fa77cbfdbe4a009f68d98ecb19110987f37be

Observation dabe54dd-1d72-41f6-8137-e4d1390cee89 · outbound

This paper cites Tropical curves, their J acobians and theta functions.

Tropicalization of $\psi$ classes Tropical curves, their J acobians and theta functions

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-11T23:13:56.736931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T23:13:56.736931Z digest=sha256:3b6c9b479a0edd4e385df80fc621c756a2150af2840263e5982bcf4c12d8801e

Observation 583955cd-b704-4682-a2bd-3c109e039ba4 · outbound

This paper cites Functorial tropicalization of logarithmic schemes: the case of constant coefficients.

Tropicalization of $\psi$ classes Functorial tropicalization of logarithmic schemes: the case of constant coefficients

Reference 24

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verified fuzzy
raw_fallback, observed 2026-08-11T23:13:56.905605Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.756100Z digest=sha256:a6190d7d548a27bd8c3cd0145930026196cf1232994372b135fe4434d859a293

Observation a9ecd195-88d2-4ffa-874f-585047954540 · outbound

This paper cites Non-archimedean geometry of artin fans.

Tropicalization of $\psi$ classes Non-archimedean geometry of artin fans

Reference 25

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T23:13:56.762162Z digest=sha256:90f537020ca0e25c7967e40b0c2fd79338adbecc8d27eed4ddb6487bc12031be

Pith citing papers

Observation 1c47c3bc-6293-4d6c-a5a3-439cc3ca38ba · inbound

Pure extension of the theta divisor over the moduli space of abelian varieties cites this paper.

Pure extension of the theta divisor over the moduli space of abelian varieties Tropicalization of $\psi$ classes

Reference 5

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no resolver link, observed 2026-08-02T20:58:45.931875Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T20:58:45.931875Z digest=sha256:caf0caa4e13edbd2d1fe6b0deb7bba154ab6c39e904f362145b88adc8f5a78c0

Observation 59efc68d-fe31-4d0f-948d-c21f9d43ccec · inbound

Degenerations in tropical compactifications and tropical intersection theory of $\overline{M}_{0,n}$ cites this paper.

Degenerations in tropical compactifications and tropical intersection theory of $\overline{M}_{0,n}$ Tropicalization of $\psi$ classes

Reference 3

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arxiv_id, observed 2026-05-10T09:38:42.067215Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T09:37:09.749362Z digest=sha256:a52257948c7f4f431b0ebb9466d8aaf8efe1601c8f1c534d10e59ab1b3daaeb9