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Paper Citation Record · LEDGER

Equality in Fill's spectral gap problem

As of 22 July 2026, this Paper Citation Record lists 1 of 1 outbound references and 2 inbound Pith citation observations for arXiv:2604.03937.

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

pith.paper-citation-record.v1
2604.03937 v1

Coverage vector

measured 1 of 1 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T11:51:39.459213Z

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-20T06:30:07.809122+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T16:56:39.110356Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-30T17:04:57.705046Z

Reference resolution

1 of 1 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a33ad544-8727-4fbf-ba72-cb288d6c7423 · outbound

This paper cites Springer Science & Business Media, 2011.

Equality in Fill's spectral gap problem Springer Science & Business Media, 2011

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-13T11:51:39.459213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T11:51:39.459213Z digest=sha256:137176ec22d6cd0cd9db575eb11d0e86ae7c9b81bba1e8583cc2663c1306cf9e

Pith citing papers

Observation 8586e656-899b-4833-92df-52176d6ae406 · inbound

Advancing Mathematics Research with AI-Driven Formal Proof Search cites this paper.

Advancing Mathematics Research with AI-Driven Formal Proof Search Equality in Fill's spectral gap problem

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-05-22T05:11:06.292017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-20T06:30:07.809122+00:00.

source=pdf_text observed=2026-05-22T05:10:45.453144Z digest=sha256:0e8e8c18c197128ebb691bcf4e5332f0c7b7db55853f73803d7248a91ccc6b91

Observation 716d26e3-d7e0-4689-a30a-a537dd4edc32 · inbound

Advancing Mathematics Research with AI-Driven Formal Proof Search cites this paper.

Advancing Mathematics Research with AI-Driven Formal Proof Search Equality in Fill's spectral gap problem

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-06-30T17:04:57.706388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-20T06:30:07.809122+00:00.

source=pdf_text observed=2026-06-30T16:56:39.110356Z digest=sha256:f0ffae1a73d17149a28b9f98295c46687a0d31298bc31842220e560d3c5c9bd7