Paper Citation Record · LEDGER

All-order alpha'-expansion of one-loop open-string integrals

As of 15 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 3 inbound Pith citation observations for arXiv:1908.09848.

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

pith.paper-citation-record.v1
1908.09848 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:04:47.515655Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:39:42.308734Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T18:30:28.748203Z

Reference resolution

42 of 42 outbound references displayed

verified exact0
verified fuzzy16
unresolved26
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 60e96aa9-3fdd-4627-bd25-4b5f7571598b · outbound

This paper cites an unresolved cited work.

All-order alpha'-expansion of one-loop open-string integrals Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:04:50.076844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7f281258-993a-429e-a660-14f0da837071 · outbound

This paper cites = n−4 and reside at the order of η−3 j of ( 6).

All-order alpha'-expansion of one-loop open-string integrals = n−4 and reside at the order of η−3 j of ( 6)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:50.024292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fe10b8ec-8106-4063-ad6e-40c85763ec62 · outbound

This paper cites = n−4−ℓ as seen at the η−3−ℓ j -order of ( 6).

All-order alpha'-expansion of one-loop open-string integrals = n−4−ℓ as seen at the η−3−ℓ j -order of ( 6)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:49.948216Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c62d566d-4cd7-49b9-a5d1-183e1d12f0a8 · outbound

This paper cites The elliptic dilogarithm for the sunset graph.

All-order alpha'-expansion of one-loop open-string integrals The elliptic dilogarithm for the sunset graph

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.243384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b63d4ef1-4740-460f-86f6-f42dec044461 · outbound

This paper cites The $\varepsilon$-form of the differential equations for Feynman integrals in the elliptic case.

All-order alpha'-expansion of one-loop open-string integrals The $\varepsilon$-form of the differential equations for Feynman integrals in the elliptic case

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.255354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50216386-94ad-43f6-abf1-e079e39f2b04 · outbound

This paper cites The second entry Z τ ⃗ η(∗|A) speciﬁes permuta- tions A = a1a2.

All-order alpha'-expansion of one-loop open-string integrals The second entry Z τ ⃗ η(∗|A) speciﬁes permuta- tions A = a1a2

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:49.900227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 629101ba-8f82-4c71-9a5b-8d87a8b6db20 · outbound

This paper cites Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes.

All-order alpha'-expansion of one-loop open-string integrals Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.277525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc7d55fa-0720-4493-bbfe-005227ace3a7 · outbound

This paper cites ∫ τk−1 i∞ dτk × ∑ C∈Sn−1 (Dτk ⃗ η ·.

All-order alpha'-expansion of one-loop open-string integrals ∫ τk−1 i∞ dτk × ∑ C∈Sn−1 (Dτk ⃗ η ·

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:49.855587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation eff05e63-35cd-40af-bfcc-ebfb440103fc · outbound

This paper cites Their τ -derivatives resulting from (5), (9) and integration by parts w.r.t.

All-order alpha'-expansion of one-loop open-string integrals Their τ -derivatives resulting from (5), (9) and integration by parts w.r.t

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:49.664973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e8bb0a6d-2c00-4327-8f56-98d030275e6d · outbound

This paper cites an unresolved cited work.

All-order alpha'-expansion of one-loop open-string integrals Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:04:49.635101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3c056c43-b84d-46e2-9fb6-04a7843c45de · outbound

This paper cites Tsunogai, Publ.

All-order alpha'-expansion of one-loop open-string integrals Tsunogai, Publ

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:49.204844Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 305a07f7-5bb2-4cad-a3be-cb526823411f · outbound

This paper cites The decomposition of eMZVs into iterated Eisenstein integrals automatically incorporates all their relations over the rational numbers [9].

All-order alpha'-expansion of one-loop open-string integrals The decomposition of eMZVs into iterated Eisenstein integrals automatically incorporates all their relations over the rational numbers [9]

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:49.790457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 30e10e11-2fa2-4f06-917e-41e27030c322 · outbound

This paper cites At each order in the inverse string tension α′, our main result (.

All-order alpha'-expansion of one-loop open-string integrals At each order in the inverse string tension α′, our main result (

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:49.464065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c6ade12b-f7e8-4495-a55b-810d9f481f55 · outbound

This paper cites an unresolved cited work.

All-order alpha'-expansion of one-loop open-string integrals Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:04:49.724238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5bd37efe-5985-4870-ac8a-24191047ced0 · outbound

This paper cites Genus-zero integrals relevant to open-string tree am- plitudes obey Knizhnik–Zamolodchikov equations with a characteristic linear factor of α′ on their right-hand side [20].

All-order alpha'-expansion of one-loop open-string integrals Genus-zero integrals relevant to open-string tree am- plitudes obey Knizhnik–Zamolodchikov equations with a characteristic linear factor of α′ on their right-hand side [20]

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:49.416497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1df49d0e-eae4-4bc0-abbb-bc74c6e1bddf · outbound

This paper cites Modular forms, periods and scattering am- plitudes.

All-order alpha'-expansion of one-loop open-string integrals Modular forms, periods and scattering am- plitudes

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:49.374609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d829d009-3810-437d-b25c-9d7384b04fab · outbound

This paper cites Levin, Compositio Mathematica 106 (1997) 267.

All-order alpha'-expansion of one-loop open-string integrals Levin, Compositio Mathematica 106 (1997) 267

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:49.333752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 95e6e84e-6d27-42b4-ab4e-fdd2973ed5a5 · outbound

This paper cites Multiple Elliptic Polylogarithms.

All-order alpha'-expansion of one-loop open-string integrals Multiple Elliptic Polylogarithms

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.215860Z

Source-reported events for the cited work

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Observation 4c219ed4-4187-4a3f-8b1a-62fd39cfe88a · outbound

This paper cites Analogues elliptiques des nombres multiz\'etas.

All-order alpha'-expansion of one-loop open-string integrals Analogues elliptiques des nombres multiz\'etas

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.229246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1d9d5f3-e956-4cd2-81cf-dfb3b66d37c9 · outbound

This paper cites Elliptic multiple zeta values and one-loop superstring amplitudes.

All-order alpha'-expansion of one-loop open-string integrals Elliptic multiple zeta values and one-loop superstring amplitudes

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.269385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f5746aa-c724-401b-a983-15ff13d3efcf · outbound

This paper cites Non-abelian $Z$-theory: Berends-Giele recursion for the $\alpha'$-expansion of disk integrals.

All-order alpha'-expansion of one-loop open-string integrals Non-abelian $Z$-theory: Berends-Giele recursion for the $\alpha'$-expansion of disk integrals

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.411135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0defb68-39f0-4ca3-a9c3-0507e5047d7c · outbound

This paper cites Broedel and O.

All-order alpha'-expansion of one-loop open-string integrals Broedel and O

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:49.279467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 20504901-f209-412e-bbbd-cc2e44105dea · outbound

This paper cites Relations between elliptic multiple zeta values and a special derivation algebra.

All-order alpha'-expansion of one-loop open-string integrals Relations between elliptic multiple zeta values and a special derivation algebra

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.290760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 729c5d76-3c8b-4554-8001-105e8fc603f1 · outbound

This paper cites Notes on the Universal Elliptic KZB Equation.

All-order alpha'-expansion of one-loop open-string integrals Notes on the Universal Elliptic KZB Equation

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.296185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d151803-a5ce-4a46-b506-f49efa756875 · outbound

This paper cites Double-Copy Structure of One-Loop Open-String Amplitudes.

All-order alpha'-expansion of one-loop open-string integrals Double-Copy Structure of One-Loop Open-String Amplitudes

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.465666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b69f497-0d55-4bdf-81d4-55cb520c4f07 · outbound

This paper cites One-loop open-string integrals from differential equations: all-order alpha'-expansions at n points.

All-order alpha'-expansion of one-loop open-string integrals One-loop open-string integrals from differential equations: all-order alpha'-expansions at n points

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.313825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7aee7f1-9031-42af-8c29-300b512ea7ca · outbound

This paper cites an unresolved cited work.

All-order alpha'-expansion of one-loop open-string integrals Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:04:49.585839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f31d12cf-d37f-4b94-8dc3-45fdf6f80008 · outbound

This paper cites an unresolved cited work.

All-order alpha'-expansion of one-loop open-string integrals Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:04:49.525247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ebc463c9-78e6-44c3-b22b-5239fbec18b6 · outbound

This paper cites Polchinski, Cambridge University Press (2007).

All-order alpha'-expansion of one-loop open-string integrals Polchinski, Cambridge University Press (2007)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:49.141813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7c3a9c2d-068e-4dbe-8043-3e75f5397b4b · outbound

This paper cites Kronecker, Mathematische Werke IV (1881) 313.

All-order alpha'-expansion of one-loop open-string integrals Kronecker, Mathematische Werke IV (1881) 313

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:49.082291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b3df135c-5ffd-4e1c-a9e6-f4ab744f2664 · outbound

This paper cites an unresolved cited work.

All-order alpha'-expansion of one-loop open-string integrals Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:04:49.031523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0401708d-99b7-471f-b899-2c7e4ec3f59a · outbound

This paper cites Mumford, M.

All-order alpha'-expansion of one-loop open-string integrals Mumford, M

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:48.976861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7537f9e1-1079-4ca4-aed8-28defec04c8c · outbound

This paper cites Pollack, Undergrad.

All-order alpha'-expansion of one-loop open-string integrals Pollack, Undergrad

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:04:48.941490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 67db9e1c-80cc-48fa-9ef5-c998a8fa0a28 · outbound

This paper cites Polylogarithms, Multiple Zeta Values and Superstring Amplitudes.

All-order alpha'-expansion of one-loop open-string integrals Polylogarithms, Multiple Zeta Values and Superstring Amplitudes

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.386589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ebf388a-8aec-4fe2-a2f1-4f1cdbdd1811 · outbound

This paper cites All order alpha'-expansion of superstring trees from the Drinfeld associator.

All-order alpha'-expansion of one-loop open-string integrals All order alpha'-expansion of superstring trees from the Drinfeld associator

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.400229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c63d092-3175-4deb-8cce-d3624d355e0b · outbound

This paper cites Motivic Multiple Zeta Values and Superstring Amplitudes.

All-order alpha'-expansion of one-loop open-string integrals Motivic Multiple Zeta Values and Superstring Amplitudes

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.426557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2547ec9-503b-4f28-8b0c-5baae3efa49a · outbound

This paper cites Multiloop integrals in dimensional regularization made simple.

All-order alpha'-expansion of one-loop open-string integrals Multiloop integrals in dimensional regularization made simple

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.436763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24292864-6c4b-4525-afd5-4f3aaf97e69e · outbound

This paper cites Complete N-Point Superstring Disk Amplitude I. Pure Spinor Computation.

All-order alpha'-expansion of one-loop open-string integrals Complete N-Point Superstring Disk Amplitude I. Pure Spinor Computation

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.448807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37be0e4b-7c74-4c81-9e91-6ef38b7395e2 · outbound

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

All-order alpha'-expansion of one-loop open-string integrals All-order differential equations for one-loop closed-string integrals and modular graph forms

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.478484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de9614a9-ca9a-4dc2-bad1-529962fab269 · outbound

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

All-order alpha'-expansion of one-loop open-string integrals Low energy expansion of the four-particle genus-one amplitude in type II superstring theory

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.486876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 153ce95c-57a1-47fe-8baf-e1576854d21e · outbound

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

All-order alpha'-expansion of one-loop open-string integrals Single-valued multiple zeta values in genus 1 superstring amplitudes

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.506225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cc70e4a-e899-46d3-abee-9cf7af54b0d4 · outbound

This paper cites Higher genus modular graph functions, string invariants, and their exact asymptotics.

All-order alpha'-expansion of one-loop open-string integrals Higher genus modular graph functions, string invariants, and their exact asymptotics

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-14T11:04:47.515655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 84fa0ea0-10f2-4b71-954f-85a891f96a1b · inbound

One-loop open-string integrals from differential equations: all-order alpha'-expansions at n points cites this paper.

One-loop open-string integrals from differential equations: all-order alpha'-expansions at n points All-order alpha'-expansion of one-loop open-string integrals

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T10:39:42.308734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6848a82b-f249-4ee6-aa71-e2531d539d2d · inbound

Associators for AdS string amplitude building blocks cites this paper.

Associators for AdS string amplitude building blocks All-order alpha'-expansion of one-loop open-string integrals

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T12:52:52.727074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b5c0f35-3fb5-4b5e-8514-f4c3130ed6b2 · inbound

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

A construction of single-valued elliptic polylogarithms All-order alpha'-expansion of one-loop open-string integrals

Reference 80

Resolution: verified exact; arxiv_id, observed 2026-05-21T18:30:28.750720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.