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Paper Citation Record · LEDGER

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

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1509.00363.

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

pith.paper-citation-record.v1
1509.00363 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 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 2026-08-11T21:31:35.304689Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T19:03:51.888020Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 982eaaf4-2ae5-468c-a0eb-7f6c558b44eb · inbound

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

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

Resolution
unresolved
no resolver link, observed 2026-08-11T21:31:35.304689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:31:35.304689Z digest=sha256:c2642c56033aea219c90a7e3c6595a8757055e06c44a070ffcf3a759002e53a9

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

From Modular Graph Forms to Iterated Integrals cites this paper.

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T19:03:51.296663Z digest=sha256:265972bc3b629b7d5112a23fb3b777ef63636a1d0f8d9979b73babe33be29175