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Paper Citation Record · LEDGER

Modular differential equations and null vectors

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:0804.0489.

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

pith.paper-citation-record.v1
0804.0489 v3

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 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:29:05.579675Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

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

External citation measurements

64
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation f81af7fc-504f-4320-bd68-9002ce9b1de1 · inbound

Modularity, 4d mirror symmetry, and VOA modules of 4d $\mathcal{N} = 2$ SCFTs with $a = c$ cites this paper.

Modularity, 4d mirror symmetry, and VOA modules of 4d $\mathcal{N} = 2$ SCFTs with $a = c$ Modular differential equations and null vectors

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-15T23:29:05.579675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:29:05.579675Z digest=sha256:7be056fdfa6fd685e70801e2bdb714a1d66c1d061471fb886c9aff285e376d20

Observation c3ca2085-7eef-4dee-946c-b8eb6d75c854 · inbound

Universal Modular Properties of Generalized Gibbs Ensembles and Chiral Deformations cites this paper.

Universal Modular Properties of Generalized Gibbs Ensembles and Chiral Deformations Modular differential equations and null vectors

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-07-13T16:29:44.877921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-13T16:27:09.345161Z digest=sha256:a66ab59190c8987e9040dcc1fa2495faa29771d7a61738fac4b396f47ea3d538