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Paper Citation Record · LEDGER

Hierarchy of Modular Graph Identities

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1608.04393.

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

pith.paper-citation-record.v1
1608.04393 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:39:42.913458Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T21:38:58.418391Z

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 59e492ad-2b19-4ee9-b1e6-c895acf9ff12 · 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 Hierarchy of Modular Graph Identities

Reference 118

Resolution
unresolved
no resolver link, observed 2026-08-14T10:39:42.913458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:39:42.913458Z digest=sha256:d649fa429fa05302fed06bd6ee460f450039ce432077ae263920f9d6de59e6bd

Observation 6b347fc8-3a2e-43f6-9112-1ab334ec6e2e · inbound

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

Type II superstring amplitude at one-loop and transcendentality Hierarchy of Modular Graph Identities

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-11T21:31:35.315741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:31:35.315741Z digest=sha256:fd44cfcdf0ce144c83e4502e7c8d98ef91a25b85c943995ac1ca9bdf6ca020f1

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

From Modular Graph Forms to Iterated Integrals cites this paper.

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.

source=pdf_text observed=2026-08-08T19:03:51.300341Z digest=sha256:053e5b6bde7cafab2675ecbb0fabed364abf652737b25a6bd7b072410898627e

Observation 4b432e2c-04e3-45d5-ab52-666143578295 · inbound

Lorentzian Regularization of the Type IIB Superstring Torus Vacuum cites this paper.

Lorentzian Regularization of the Type IIB Superstring Torus Vacuum Hierarchy of Modular Graph Identities

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-07-03T21:38:58.419574Z

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.

source=pdf_text observed=2026-06-27T00:21:14.979289Z digest=sha256:e23fd9e2785a729f5f7087aaffc9bf926726c6a355a131a9f414f2faa99b9b65