Paper Citation Record · LEDGER

From Modular Graph Forms to Iterated Integrals

As of 23 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 2 inbound Pith citation observations for arXiv:2502.05531.

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

pith.paper-citation-record.v1
2502.05531 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T19:03:51.436440Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:31:35.412901Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T18:30:28.881612Z

Reference resolution

46 of 46 outbound references displayed

verified exact10
verified fuzzy6
unresolved30
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 41b839bf-9cb5-4c26-9470-4450247a9c7b · outbound

This paper cites Low-energy expansion of the o ne-loop type-II superstring amplitude,.

From Modular Graph Forms to Iterated Integrals Low-energy expansion of the o ne-loop type-II superstring amplitude,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.271650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbcd1dac-0047-460c-ac33-e44873e187e7 · outbound

This paper cites Low energy expansion of the four-particle genus-one amplitude in type II superstring theory.

From Modular Graph Forms to Iterated Integrals Low energy expansion of the four-particle genus-one amplitude in type II superstring theory

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.276381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a17ea60-3e92-41f8-a606-7ef5eccac732 · outbound

This paper cites On the modular structure of the genus-one Type II superstring low energy expansion.

From Modular Graph Forms to Iterated Integrals On the modular structure of the genus-one Type II superstring low energy expansion

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.280608Z

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Unavailable: canonical work link unavailable.

Observation 815c333b-2769-447a-9c05-de43a2f952d9 · outbound

This paper cites Exploring transcendentality in superstring amplitudes.

From Modular Graph Forms to Iterated Integrals Exploring transcendentality in superstring amplitudes

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.284530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0624abb9-28bc-4f4d-a56c-df9045aeaa44 · outbound

This paper cites Modular Graph Functions.

From Modular Graph Forms to Iterated Integrals Modular Graph Functions

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.288528Z

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Unavailable: canonical work link unavailable.

Observation 4a321b2f-37fd-4311-9276-04963761ae7b · outbound

This paper cites Identities between Modular Graph Forms.

From Modular Graph Forms to Iterated Integrals Identities between Modular Graph Forms

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.292594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 789f3ccb-8d1c-49e1-b6b7-472404f58fda · outbound

This paper cites Proof of a modular relation between 1-, 2- and 3-loop Feynman diagrams on a torus.

From Modular Graph Forms to Iterated Integrals Proof of a modular relation between 1-, 2- and 3-loop Feynman diagrams on a torus

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-08T19:03:51.891896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5d15cee3-cc9d-4f77-a872-9dfad44c087e · outbound

This paper cites Hierarchy of Modular Graph Identities.

From Modular Graph Forms to Iterated Integrals Hierarchy of Modular Graph Identities

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.300341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52479060-5fa3-4040-96e4-a142134191be · outbound

This paper cites Holomorphic subgraph reduction of higher-point modular graph forms.

From Modular Graph Forms to Iterated Integrals Holomorphic subgraph reduction of higher-point modular graph forms

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-08T19:03:51.867595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f89dc799-0280-4ecb-ba86-d1ca05876f8b · outbound

This paper cites Proving relations between modular graph functions.

From Modular Graph Forms to Iterated Integrals Proving relations between modular graph functions

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.307719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c02009c-0d73-46e1-8cd1-91b0ba5a83c0 · outbound

This paper cites Basis Decompositions and a Mathematica Package for Modular Graph Forms.

From Modular Graph Forms to Iterated Integrals Basis Decompositions and a Mathematica Package for Modular Graph Forms

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-08T19:03:51.845302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9991f65b-01f6-4137-90b8-c9155354c2e6 · outbound

This paper cites Tetrahedral modular graph functions.

From Modular Graph Forms to Iterated Integrals Tetrahedral modular graph functions

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-08T19:03:51.832009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 520fae8e-409f-4946-97ae-1f9c369c99d4 · outbound

This paper cites A class of non-holomorphic modular forms I.

From Modular Graph Forms to Iterated Integrals A class of non-holomorphic modular forms I

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.318265Z

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Observation 470d5763-6852-4f78-a281-a739b6b982f2 · outbound

This paper cites A class of non-holomorphic modular forms II : equivariant iterated Eisenstein integrals.

From Modular Graph Forms to Iterated Integrals A class of non-holomorphic modular forms II : equivariant iterated Eisenstein integrals

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.321849Z

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Unavailable: canonical work link unavailable.

Observation 7bcf0bfb-b725-4938-a6ac-ccf6453c1e3f · outbound

This paper cites From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop.

From Modular Graph Forms to Iterated Integrals From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.325178Z

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Unavailable: canonical work link unavailable.

Observation c37eb802-6390-4c36-ba0c-5e232d54ef4c · outbound

This paper cites All-order differential equations for one-loop closed-string integrals and modular graph forms.

From Modular Graph Forms to Iterated Integrals All-order differential equations for one-loop closed-string integrals and modular graph forms

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.328720Z

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Unavailable: canonical work link unavailable.

Observation 07b81006-c95f-4541-a2d2-ce27a1083d24 · outbound

This paper cites Generating series of all modular graph forms from iterated Eisenstein integrals.

From Modular Graph Forms to Iterated Integrals Generating series of all modular graph forms from iterated Eisenstein integrals

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.332126Z

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Unavailable: canonical work link unavailable.

Observation 4db9319f-c730-49a6-8714-6f600d5b57b8 · outbound

This paper cites Laplace-eigenvalue equations for length three modular iterated integrals.

From Modular Graph Forms to Iterated Integrals Laplace-eigenvalue equations for length three modular iterated integrals

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-08T19:03:51.770128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5c9d6e6e-c7f9-4144-9071-033fb5a99a44 · outbound

This paper cites Modular graph forms from equivariant iterated Eisenstein integrals.

From Modular Graph Forms to Iterated Integrals Modular graph forms from equivariant iterated Eisenstein integrals

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.339399Z

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Unavailable: canonical work link unavailable.

Observation 1f31724b-25b6-4bbb-ba20-a9aad3c0b3eb · outbound

This paper cites Non-holomorphic modular forms from zeta generators.

From Modular Graph Forms to Iterated Integrals Non-holomorphic modular forms from zeta generators

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.342856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa14593d-f099-4164-ae84-0ded63ea97ab · outbound

This paper cites Modular Graph Forms and Scattering Amplitudes in String Theory.

From Modular Graph Forms to Iterated Integrals Modular Graph Forms and Scattering Amplitudes in String Theory

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.346493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b15f998e-a305-4506-9694-70a0423c9489 · outbound

This paper cites Elliptic modular graph forms II: Iterated integrals.

From Modular Graph Forms to Iterated Integrals Elliptic modular graph forms II: Iterated integrals

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.349935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da7a898a-db0e-4d45-8def-37a354a7251d · outbound

This paper cites Classical Polylogarithms for Amplitudes and Wilson Loops.

From Modular Graph Forms to Iterated Integrals Classical Polylogarithms for Amplitudes and Wilson Loops

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.353730Z

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Unavailable: canonical work link unavailable.

Observation 1403f5c2-bae9-4d15-bd94-7b3f69538033 · outbound

This paper cites Single-valued multiple zeta values in genus 1 superstring amplitudes.

From Modular Graph Forms to Iterated Integrals Single-valued multiple zeta values in genus 1 superstring amplitudes

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.357055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7455b6d-da3d-4286-a5a8-fbf51a6e933c · outbound

This paper cites Absence of irreducible multiple zeta-values in melon modular graph functions.

From Modular Graph Forms to Iterated Integrals Absence of irreducible multiple zeta-values in melon modular graph functions

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-08T19:03:51.698838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 30ba8e9f-81bc-447b-bd92-747ac67248e9 · outbound

This paper cites Genus-zero and genus-one string amplitudes and special multiple zeta values.

From Modular Graph Forms to Iterated Integrals Genus-zero and genus-one string amplitudes and special multiple zeta values

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.363818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f541050b-1b88-48a9-9bc4-26f001f03635 · outbound

This paper cites Building blocks of closed and open string amplitudes.

From Modular Graph Forms to Iterated Integrals Building blocks of closed and open string amplitudes

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-08T19:03:51.675098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5f595073-2963-4d15-8e2d-734d0b003524 · outbound

This paper cites Poincar\'e series for modular graph forms at depth two. I. Seeds and Laplace systems.

From Modular Graph Forms to Iterated Integrals Poincar\'e series for modular graph forms at depth two. I. Seeds and Laplace systems

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.370465Z

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Unavailable: canonical work link unavailable.

Observation a0e30d94-0807-41e3-a948-a3b305ec4d7b · outbound

This paper cites Poincar\'e series for modular graph forms at depth two. II. Iterated integrals of cusp forms.

From Modular Graph Forms to Iterated Integrals Poincar\'e series for modular graph forms at depth two. II. Iterated integrals of cusp forms

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.373793Z

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Unavailable: canonical work link unavailable.

Observation 984201b2-48c0-4f2e-96f1-248ab29f0a40 · outbound

This paper cites Canonicalizing zeta generator s: genus zero and genus one,.

From Modular Graph Forms to Iterated Integrals Canonicalizing zeta generator s: genus zero and genus one,

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.377025Z

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Unavailable: canonical work link unavailable.

Observation fc3257ec-e662-4d01-af4d-66d8f31b45f7 · outbound

This paper cites Type II superstring amplitude at one-loop and transcendentality.

From Modular Graph Forms to Iterated Integrals Type II superstring amplitude at one-loop and transcendentality

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-08T19:03:51.566430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6929661c-f231-4c2b-bc0f-34afabd8a260 · outbound

This paper cites One-loop matrix elements of effective superstring interactions: $\alpha'$-expanding loop integrands.

From Modular Graph Forms to Iterated Integrals One-loop matrix elements of effective superstring interactions: $\alpha'$-expanding loop integrands

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.383684Z

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Unavailable: canonical work link unavailable.

Observation f6161a90-3e04-4581-8a87-100a6f15b72f · outbound

This paper cites Lectures on modular forms and strings.

From Modular Graph Forms to Iterated Integrals Lectures on modular forms and strings

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.387285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56996647-39c2-46e5-8ffa-dee50bc0af6e · outbound

This paper cites Serre, A course in arithmetic , vol.

From Modular Graph Forms to Iterated Integrals Serre, A course in arithmetic , vol

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:03:52.012759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9f8daba6-96a1-4d24-b24e-6e00593a2f67 · outbound

This paper cites Fourier series of modular graph functions.

From Modular Graph Forms to Iterated Integrals Fourier series of modular graph functions

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-08T19:03:51.533451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 409f7d78-49ea-4ffb-8500-1f5768aa123f · outbound

This paper cites Maass, Lectures on modular functions of one complex variable , vol.

From Modular Graph Forms to Iterated Integrals Maass, Lectures on modular functions of one complex variable , vol

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:03:52.001501Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fa3112b5-930b-46d8-87cb-11d0e613bb18 · outbound

This paper cites Unpublished; notes on lattice sums.

From Modular Graph Forms to Iterated Integrals Unpublished; notes on lattice sums

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:03:51.990720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ba2ba26d-0355-43fb-9145-8abc97a24885 · outbound

This paper cites an unresolved cited work.

From Modular Graph Forms to Iterated Integrals Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-08T19:03:51.980753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 62fbc009-0382-4f7b-9c08-956e682767ab · outbound

This paper cites A class of non-holomorphic modular forms III: real analytic cusp forms for $\mathrm{SL}_2(\mathbb{Z})$.

From Modular Graph Forms to Iterated Integrals A class of non-holomorphic modular forms III: real analytic cusp forms for $\mathrm{SL}_2(\mathbb{Z})$

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-08T19:03:51.509092Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 54591795-a34a-4287-aece-c92b9f45318b · outbound

This paper cites Relations between derivations arising fr om modular forms,.

From Modular Graph Forms to Iterated Integrals Relations between derivations arising fr om modular forms,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:03:51.969760Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7d0ae71b-2097-4b96-9789-a64459a2f9e0 · outbound

This paper cites On some derivations of Lie algebras relat ed to Galois representations,.

From Modular Graph Forms to Iterated Integrals On some derivations of Lie algebras relat ed to Galois representations,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:03:51.959827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a9a44d8c-cca2-449d-bba9-14b72a33dd58 · outbound

This paper cites On the algebraic structure of iterated integrals of quasimodular forms.

From Modular Graph Forms to Iterated Integrals On the algebraic structure of iterated integrals of quasimodular forms

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.422699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ace19c1-f6bf-4af9-8d46-4492d2c616eb · outbound

This paper cites The low energy expansion of the one-loop type II superstring amplitude.

From Modular Graph Forms to Iterated Integrals The low energy expansion of the one-loop type II superstring amplitude

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.426328Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f3f3eb4-9a57-4a69-a048-6106a02cb661 · outbound

This paper cites Supersymmetrical String Theories,.

From Modular Graph Forms to Iterated Integrals Supersymmetrical String Theories,

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:03:51.949551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2c7433f9-0ff6-49b7-af3b-8281f6c3d2e2 · outbound

This paper cites Multiple Modular Values and the relative completion of the fundamental group of $M_{1,1}$.

From Modular Graph Forms to Iterated Integrals Multiple Modular Values and the relative completion of the fundamental group of $M_{1,1}$

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.433030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc934fc2-7b11-47d8-9700-1cb005c8418c · outbound

This paper cites Universal Mixed Elliptic Motives.

From Modular Graph Forms to Iterated Integrals Universal Mixed Elliptic Motives

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-08T19:03:51.436440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 36429415-9976-4aca-a9fc-c36312581fc5 · inbound

Type II superstring amplitude at one-loop and transcendentality cites this paper.

Type II superstring amplitude at one-loop and transcendentality From Modular Graph Forms to Iterated Integrals

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:35.412901Z

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Unavailable: canonical work link unavailable.

Observation 770edb2e-f3e3-43e9-83c1-c6fb667f22ac · inbound

A construction of single-valued elliptic polylogarithms cites this paper.

A construction of single-valued elliptic polylogarithms From Modular Graph Forms to Iterated Integrals

Reference 54

Resolution: verified exact; arxiv_id, observed 2026-05-21T18:30:28.883577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.