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Paper Citation Record · LEDGER

The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:2207.12893.

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pith.paper-citation-record.v1
2207.12893 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:25:52.348413Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T17:57:15.278111Z

Reference resolution

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External citation measurements

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Outbound references

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Pith citing papers

Observation c7c70956-c645-4f9f-908f-18a9e5ea6c2f · inbound

Electroweak double-box integrals for Moller scattering cites this paper.

Electroweak double-box integrals for Moller scattering The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

Reference 70

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unresolved
no resolver link, observed 2026-08-11T18:53:08.417027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:53:08.417027Z digest=sha256:b1905ee5a82ef3a90c3e30bfc8cae31d72654fbeccbf0cad45e9201ab0c34955

Observation eca24421-a851-4ac7-9d88-de7a76cd3c0b · inbound

Elliptic leading singularities and canonical integrands cites this paper.

Elliptic leading singularities and canonical integrands The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

Reference 93

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unresolved
no resolver link, observed 2026-08-16T05:25:52.348413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:25:52.348413Z digest=sha256:fa3aeda2859bbfb7076ce78b6d7955c7925c80e7033c6194629cafad11bebfdb

Observation 88c4109f-80a5-4c46-ae9d-95987b87abd4 · inbound

Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module cites this paper.

Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

Reference 85

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unresolved
no resolver link, observed 2026-08-07T04:37:32.868801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ad34e265-74e7-4c97-a039-922943e6cc29 · inbound

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

Towards Motivic Coactions at Genus One from Zeta Generators The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

Reference 84

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verified exact
arxiv_id, observed 2026-05-19T00:31:55.914983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-19T00:27:25.933884Z digest=sha256:dfa77ffa5e97f8f35e619803d231db5a7aba096220c9a057f69455d41e2a30d6

Observation 459254e1-c723-429f-a808-d596540fa1a6 · inbound

New algorithms for Feynman integral reduction and $\varepsilon$-factorised differential equations cites this paper.

New algorithms for Feynman integral reduction and $\varepsilon$-factorised differential equations The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

Reference 57

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verified exact
arxiv_id, observed 2026-05-17T21:00:15.532032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 36c94f8b-2c26-47aa-af91-dfed501ee558 · inbound

Fano and Reflexive Polytopes from Feynman Integrals cites this paper.

Fano and Reflexive Polytopes from Feynman Integrals The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

Reference 83

Resolution
verified exact
arxiv_id, observed 2026-05-21T17:24:16.586232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 91ce20b6-5f51-4add-a5b4-5067656aa28c · inbound

Discrete symmetries of Feynman integrals cites this paper.

Discrete symmetries of Feynman integrals The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

Reference 59

Resolution
verified exact
arxiv_id, observed 2026-05-11T05:55:58.878739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 98f6f5be-5152-4c6d-8e2e-1c8923072f1e · inbound

Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals cites this paper.

Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

Reference 73

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T07:11:00.074875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T17:16:33.915939Z digest=sha256:b9bfc96f63003dcc54e04b007e643e80b1568fe11ac04a5f28ce3e979b37a82f

Observation 95bb11c0-53d7-4e99-bd8d-1daa45975cd2 · inbound

Integrand Analysis, Leading Singularities and Canonical Bases beyond Polylogarithms cites this paper.

Integrand Analysis, Leading Singularities and Canonical Bases beyond Polylogarithms The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-05-11T23:51:38.357884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-07T16:07:21.257348Z digest=sha256:a19952a90253cc35ab0095be1525566c51d6c47783a2c1f1907329ec654d34ae

Observation 7348f994-e420-4d4f-9b30-c68eae30e732 · inbound

IterInt: Evaluating iterated integrals via differential equations cites this paper.

IterInt: Evaluating iterated integrals via differential equations The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

Reference 39

Resolution
verified exact
arxiv_id, observed 2026-07-02T00:36:24.734581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation d34aedbe-0fbc-4887-b05c-3fd8b6b01d5d · inbound

From geometry to phenomenology cites this paper.

From geometry to phenomenology The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

Reference 64

Resolution
verified exact
arxiv_id, observed 2026-07-02T17:57:15.279454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 8cf2a5f6-912e-4746-8183-16532642c69b · inbound

Analytic result of a three-loop integral family in the Higgs decay to four massive bottom quarks cites this paper.

Analytic result of a three-loop integral family in the Higgs decay to four massive bottom quarks The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

Reference 77

Resolution
unresolved
no resolver link, observed 2026-07-12T02:47:06.419343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 4b67e67d-31d5-47a6-bbea-cb0daca9423d · inbound

Intersection matrices associated to geometric-ordered bases of Feynman integrals cites this paper.

Intersection matrices associated to geometric-ordered bases of Feynman integrals The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-15T14:54:12.268647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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