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Paper Citation Record · LEDGER

Parity families and a kernel-averaged L-function for near-Ramanujan signings

As of 11 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2607.17343.

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

pith.paper-citation-record.v1
2607.17343 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T18:27:46.410410Z

measured 13 of 13 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

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 40512a3a-90b6-4ae5-8db0-26392a1e8794 · outbound

This paper cites an unresolved cited work.

Parity families and a kernel-averaged L-function for near-Ramanujan signings Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T18:27:45.150375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:27:45.150375Z digest=sha256:075b50cb155273932969ce8a5e1c7ae6c37922dac07927960eff19ed7a21cf26

Observation d66ec000-c045-4158-81c0-a3ecdb227a30 · outbound

This paper cites Bass,The Ihara-Selberg zeta function of a tree lattice, Internat.

Parity families and a kernel-averaged L-function for near-Ramanujan signings Bass,The Ihara-Selberg zeta function of a tree lattice, Internat

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T18:27:45.216023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:27:45.216023Z digest=sha256:55cf52bbcea25ac834766667a9899050e7c30b3c49e447d50c8536434f2dc26b

Observation 9313b0d5-db64-4b81-a7e3-15a4aeee573f · outbound

This paper cites an unresolved cited work.

Parity families and a kernel-averaged L-function for near-Ramanujan signings Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T18:27:45.328762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:27:45.328762Z digest=sha256:52818b1dcafaf3a8a1d9e9da01a07621dfcbdb3a1c8567267f460a0f73f48030

Observation 343c7676-0e0a-476a-bb72-e6027ecdd957 · outbound

This paper cites Suvagiya,Signed circulants at the Ramanujan bound, in preparation, 2026.

Parity families and a kernel-averaged L-function for near-Ramanujan signings Suvagiya,Signed circulants at the Ramanujan bound, in preparation, 2026

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T18:27:45.433332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:27:45.433332Z digest=sha256:fb6d2062674ca1d291725fecdc931e74774d5a90fdfd914a6a509f510def1f17

Observation 72a6f374-d9c1-4991-96fe-e3d556802747 · outbound

This paper cites Bordenave,A new proof of Friedman ’s second eigenvalue theorem and its extension to random lifts, Ann.

Parity families and a kernel-averaged L-function for near-Ramanujan signings Bordenave,A new proof of Friedman ’s second eigenvalue theorem and its extension to random lifts, Ann

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T18:27:45.530075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:27:45.530075Z digest=sha256:0c88d947011a9e31be93b778fee66d17e73bec26720d028b483421d3d5d7536b

Observation 0e9484d7-0477-4f24-8cf5-6c98d41f00c0 · outbound

This paper cites an unresolved cited work.

Parity families and a kernel-averaged L-function for near-Ramanujan signings Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T18:27:45.653490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:27:45.653490Z digest=sha256:d515acd8435ace4c277fce3432cb9b8878cab39e7d8477f050eb11e903056a26

Observation 3393585f-05c0-4208-968d-593c170292de · outbound

This paper cites H ˚ astad,Some optimal inapproximability results, J.

Parity families and a kernel-averaged L-function for near-Ramanujan signings H ˚ astad,Some optimal inapproximability results, J

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T18:27:45.768199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:27:45.768199Z digest=sha256:45ee720d1829521d73016e3f81d1d9d8d88d475b9314eff23d028b5d59477cdb

Observation 658c63cc-3412-4e56-ae82-0d13a47eb2f0 · outbound

This paper cites an unresolved cited work.

Parity families and a kernel-averaged L-function for near-Ramanujan signings Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T18:27:45.887043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:27:45.887043Z digest=sha256:36af703678dd5c65c67deb9ea8f685e1790bc52b4d4a98dc3ab91945e675f788

Observation 0f816db9-ffbd-4184-8629-cccad93f6f15 · outbound

This paper cites Huang,Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture, Ann.

Parity families and a kernel-averaged L-function for near-Ramanujan signings Huang,Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture, Ann

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T18:27:45.962936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:27:45.962936Z digest=sha256:2f266946a36fd467b1a0efc308a7a78af3b77b161d16c9ead4dca9089089a437

Observation c357d6bb-bc05-4016-a858-d555a2f74776 · outbound

This paper cites Kotani, T.

Parity families and a kernel-averaged L-function for near-Ramanujan signings Kotani, T

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T18:27:46.084740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:27:46.084740Z digest=sha256:237f553c9a6280af8da791312426b57b4d98371e6863d5cfd6689d7b0c96d2ce

Observation 3a019426-6214-4cc3-89f1-65828d24944f · outbound

This paper cites an unresolved cited work.

Parity families and a kernel-averaged L-function for near-Ramanujan signings Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T18:27:46.194068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:27:46.194068Z digest=sha256:f8d09cdaeef9e5884fa08ae3eebc47d4252a1290784e9f6c6b0f4f5037c2ca4c

Observation 3610aa02-1b19-4d59-b711-9d35da7953ff · outbound

This paper cites Explicit near-Ramanujan graphs of every degree.

Parity families and a kernel-averaged L-function for near-Ramanujan signings Explicit near-Ramanujan graphs of every degree

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T18:27:46.284662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:27:46.284662Z digest=sha256:8e4529d1cbb99064afe9009646154d88c717eea383caf73585464f0ead6c808a

Observation 76b24eda-50ba-4fd6-90bb-dbcdc4168cb0 · outbound

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

Parity families and a kernel-averaged L-function for near-Ramanujan signings An Improved Upper Bound for the Bilu-Linial Conjecture via Interlacing Families

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T18:27:46.410410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:27:46.410410Z digest=sha256:5440cc31d08e1f60faaadc7cbb4e9c6be8b77dcd49d679067f6a1b0aee40203c

Pith citing papers

No inbound Pith citation observations are available.