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Paper Citation Record · LEDGER

Rare Flat Bands for Periodic Graph Operators

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2503.03632.

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

pith.paper-citation-record.v1
2503.03632 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:16:38.537013Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T12:17:30.576178Z

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 e0e82562-84aa-4197-8f83-0f4a8193bdea · inbound

Eigenvalues of Maximal Abelian Covers cites this paper.

Eigenvalues of Maximal Abelian Covers Rare Flat Bands for Periodic Graph Operators

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T17:16:38.537013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:16:38.537013Z digest=sha256:7fe4d68f72fa5cc69177ea97dc0bd54eeb9c613c480c9df325c82b980b81afd4

Observation 36f05517-1e26-4596-865c-6c1b5b62bf6a · inbound

Absence of flat bands for discrete periodic graph operators with generic potentials cites this paper.

Absence of flat bands for discrete periodic graph operators with generic potentials Rare Flat Bands for Periodic Graph Operators

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:17:30.584869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T12:17:23.503020Z digest=sha256:c91152b04c96fef2fb92fe1b4417a73e733efa59bdf9e250eb79aad439d5282f

Observation 7f2bdcb1-9077-4358-944f-b9b6575bcc5b · inbound

Two Instances of Chaos in Deterministic and Quantum Dynamical Systems cites this paper.

Two Instances of Chaos in Deterministic and Quantum Dynamical Systems Rare Flat Bands for Periodic Graph Operators

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-01T13:56:18.635161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:56:18.635161Z digest=sha256:268b1ca3d21d0dfda140939b0952acc9578d97b81e441f6389da7d88cd288c53