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Paper Citation Record · LEDGER

Signed circulants at the Ramanujan bound

As of 11 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2607.18334.

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

pith.paper-citation-record.v1
2607.18334 v1

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T18:25:42.979330Z

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

5 of 5 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 48d4d2e2-edd2-4bbe-8f72-b44abd1b1608 · outbound

This paper cites an unresolved cited work.

Signed circulants at the Ramanujan bound Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T18:25:42.965181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:25:42.965181Z digest=sha256:8ae1454824fc8643790da5b4b976934fd13f90b0d1c3f7ddf8d9e39feffeceb5

Observation bd45d1ac-b55d-407a-8802-c67cf2d6fd6b · outbound

This paper cites an unresolved cited work.

Signed circulants at the Ramanujan bound Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T18:25:42.968923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:25:42.968923Z digest=sha256:a085b452d7e18265445a02fc274c608f36b49884e07568bafb918f2928918481

Observation 8707d963-79a1-4756-91a7-8ddd740bed3b · outbound

This paper cites an unresolved cited work.

Signed circulants at the Ramanujan bound Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T18:25:42.972401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:25:42.972401Z digest=sha256:af35d68ca452923dbbddffca2217e6f3af6f0f127d0bd4222f218eb69f2c392d

Observation e5da2396-c7f3-4192-b40a-2342be3ecc2d · outbound

This paper cites an unresolved cited work.

Signed circulants at the Ramanujan bound Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T18:25:42.975343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:25:42.975343Z digest=sha256:d4550c6c87763e7e0cc1d89dbfcfa1581fd4247dd3562b1ab407d7b33b0e7b28

Observation 28e7f388-5828-460e-9e0b-3e7cce084513 · outbound

This paper cites An Improved Upper Bound for the Bilu-Linial Conjecture via Interlacing Families.

Signed circulants at the Ramanujan bound An Improved Upper Bound for the Bilu-Linial Conjecture via Interlacing Families

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T18:25:42.979330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:25:42.979330Z digest=sha256:434f94d405210d6e4e8986ba13820a7ea163ddfc651a0a689acf84a61c1b4cc3

Pith citing papers

No inbound Pith citation observations are available.