Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T21:31:35.496555Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2412.04381.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T21:31:35.496555Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-08T19:03:51.380195Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-08T19:03:51.562541Z
48 of 48 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d957eb1d-48bb-4b60-ba44-340f0bfc900a · outbound
Type II superstring amplitude at one-loop and transcendentality Motivic Multiple Zeta Values and Superstring Amplitudes
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 90a885d7-0edf-49ee-a54f-c50cae306abd · outbound
Type II superstring amplitude at one-loop and transcendentality Closed Superstring Amplitudes, Single-Valued Multiple Zeta Values and Deligne Associator
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e77c27fc-3ffa-479b-8bea-502700ccb91c · outbound
Type II superstring amplitude at one-loop and transcendentality Closed String Amplitudes as Single-Valued Open String Amplitudes
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d770ad12-7a47-4d8a-8ff7-8ef1191dbdd4 · outbound
Type II superstring amplitude at one-loop and transcendentality Closed strings as single-valued open strings: A genus-zero derivation
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85a53c9d-d64d-41c3-bd00-d1ae74dcc807 · outbound
Type II superstring amplitude at one-loop and transcendentality Single-valued hyperlogarithms, correlation functions and closed string amplitudes
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 126a16ba-0c35-4033-bc43-95886d97b335 · outbound
Type II superstring amplitude at one-loop and transcendentality Single-valued integration and superstring amplitudes in genus zero
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 538a77e3-3a19-46dd-9805-cd55bac99578 · outbound
Type II superstring amplitude at one-loop and transcendentality Goncharov, Advances in Mathematics 241, 79 (2013)
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1049cbac-616f-48d2-98dd-aeca67c91a17 · outbound
Type II superstring amplitude at one-loop and transcendentality Multiple zeta values and periods of moduli spaces $\mathfrak{M}_{0,n}$
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc0b2f62-36fd-4333-8978-0031c37adad5 · outbound
Type II superstring amplitude at one-loop and transcendentality Multiloop integrals in dimensional regularization made simple
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d6063366-fbab-464a-b62b-d9eca905068c · outbound
Type II superstring amplitude at one-loop and transcendentality Unresolved cited work
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 734d3c64-707c-482a-8f94-149bd926796a · outbound
Type II superstring amplitude at one-loop and transcendentality Low energy expansion of the four-particle genus-one amplitude in type II superstring theory
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 741be951-953a-4b06-b121-d81892a3e206 · outbound
Type II superstring amplitude at one-loop and transcendentality On the modular structure of the genus-one Type II superstring low energy expansion
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 982eaaf4-2ae5-468c-a0eb-7f6c558b44eb · outbound
Type II superstring amplitude at one-loop and transcendentality Proof of a modular relation between 1-, 2- and 3-loop Feynman diagrams on a torus
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23941535-9ad1-4e33-92b8-25679bd7bb4d · outbound
Type II superstring amplitude at one-loop and transcendentality Modular Graph Functions
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b347fc8-3a2e-43f6-9112-1ab334ec6e2e · outbound
Type II superstring amplitude at one-loop and transcendentality Hierarchy of Modular Graph Identities
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fae4aecb-4e09-499a-9ad9-d94224bf1135 · outbound
Type II superstring amplitude at one-loop and transcendentality Holomorphic subgraph reduction of higher-point modular graph forms
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26882cfc-c222-4286-86d8-bc65955bf3ae · outbound
Type II superstring amplitude at one-loop and transcendentality Identities between Modular Graph Forms
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99ca02a0-6757-46f4-bf35-65dfe073749e · outbound
Type II superstring amplitude at one-loop and transcendentality Proving relations between modular graph functions
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cb98a2be-4c73-4ed4-be06-fc28d06853bc · outbound
Type II superstring amplitude at one-loop and transcendentality Tetrahedral modular graph functions
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation af1b7712-d38f-45f0-8926-7819a3f7a853 · outbound
Type II superstring amplitude at one-loop and transcendentality Integral of two-loop modular graph functions
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 28bcd357-63f3-4126-b9e9-3e150e9109cd · outbound
Type II superstring amplitude at one-loop and transcendentality Exploring transcendentality in superstring amplitudes
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a7f4a6f6-6851-44fa-87e5-db8e6a205b23 · outbound
Type II superstring amplitude at one-loop and transcendentality Integrating three-loop modular graph functions and transcendentality of string amplitudes
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9100083c-0e70-41d0-a8bf-30c63b87adc9 · outbound
Type II superstring amplitude at one-loop and transcendentality From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2cc5930c-8841-4a3d-bb09-cdef682dc697 · outbound
Type II superstring amplitude at one-loop and transcendentality Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2774ace8-bd10-42a4-ae1b-f437c4564593 · outbound
Type II superstring amplitude at one-loop and transcendentality All-order differential equations for one-loop closed-string integrals and modular graph forms
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc4c857a-7d01-4bf1-a6d8-9e6bf8445d69 · outbound
Type II superstring amplitude at one-loop and transcendentality Generating series of all modular graph forms from iterated Eisenstein integrals
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac85b74b-8621-4c65-88be-13e8fdb6c84b · outbound
Type II superstring amplitude at one-loop and transcendentality A class of non-holomorphic modular forms I
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 906ae0b4-a246-472d-9d82-8fc0279fbec3 · outbound
Type II superstring amplitude at one-loop and transcendentality A class of non-holomorphic modular forms II : equivariant iterated Eisenstein integrals
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e2e03bed-0605-485b-ae44-ed1849dccb3f · outbound
Type II superstring amplitude at one-loop and transcendentality Modular graph forms from equivariant iterated Eisenstein integrals
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ea7ecab-bd46-4c5b-a505-dbd6192276ef · outbound
Type II superstring amplitude at one-loop and transcendentality Non-holomorphic modular forms from zeta generators
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c69a112-4874-42fa-8751-e729878546d8 · outbound
Type II superstring amplitude at one-loop and transcendentality non-analytic part
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4f6b9479-8d71-40ef-86a5-c487e7c5b71c · outbound
Type II superstring amplitude at one-loop and transcendentality Integral of depth zero to three basis of Modular Graph Functions
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 36429415-9976-4aca-a9fc-c36312581fc5 · outbound
Type II superstring amplitude at one-loop and transcendentality From Modular Graph Forms to Iterated Integrals
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 779d92d2-99d6-4862-8d5c-9062058f8039 · outbound
Type II superstring amplitude at one-loop and transcendentality Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a0f154f3-d83a-4610-861e-4fe861c4fb1d · outbound
Type II superstring amplitude at one-loop and transcendentality Basis Decompositions and a Mathematica Package for Modular Graph Forms
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cb5125ed-9dbb-4a72-a7cf-6020b0140629 · outbound
Type II superstring amplitude at one-loop and transcendentality Single-valued multiple zeta values in genus 1 superstring amplitudes
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 59f0b999-40ed-466e-9a2a-548941d105da · outbound
Type II superstring amplitude at one-loop and transcendentality Poincar\'e series for modular graph forms at depth two. I. Seeds and Laplace systems
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 15201a67-2378-457c-aed0-c1bc421df718 · outbound
Type II superstring amplitude at one-loop and transcendentality Poincar\'e series for modular graph forms at depth two. II. Iterated integrals of cusp forms
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b588e70d-cf73-46bb-9aee-fe4e8f292211 · outbound
Type II superstring amplitude at one-loop and transcendentality Zagier, Journal of the Faculty of Science, the Univer- sity of Tokyo
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f92baa8f-f1ea-4ed1-821a-2ee67e6f5f56 · outbound
Type II superstring amplitude at one-loop and transcendentality Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 84bafdfc-c96d-43ed-a2ba-3e881a26f5b4 · outbound
Type II superstring amplitude at one-loop and transcendentality One-loop matrix elements of effective superstring interactions: $\alpha'$-expanding loop integrands
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 365a5299-9ea0-47d3-b0be-6bfdd67ad869 · outbound
Type II superstring amplitude at one-loop and transcendentality Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c69ce1e0-773f-47c5-b42c-71c60de14d7f · outbound
Type II superstring amplitude at one-loop and transcendentality Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4936efa2-cdea-46c5-9750-3cf6a236e33b · outbound
Type II superstring amplitude at one-loop and transcendentality Non-analytic terms of string amplitudes from partial waves
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e630bde8-15c8-44a8-b5b3-285dc88afae4 · outbound
Type II superstring amplitude at one-loop and transcendentality Zerbini, unpublished
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 57a60048-d4ce-4c57-a83a-d27c9dcc9b52 · outbound
Type II superstring amplitude at one-loop and transcendentality Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 34c7f5b6-b8a0-4228-b6e0-bf490579982d · outbound
Type II superstring amplitude at one-loop and transcendentality Lerch, Sitz
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 224d74f9-7023-4edc-bb8d-df860602157f · outbound
Type II superstring amplitude at one-loop and transcendentality Universality in string interactions
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc3257ec-e662-4d01-af4d-66d8f31b45f7 · inbound
From Modular Graph Forms to Iterated Integrals Type II superstring amplitude at one-loop and transcendentality
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.