Pith. sign in

Paper Citation Record · LEDGER

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

As of 20 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 2026-08-20T06:33:59.587034+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=sha256:5deb99695f5d55af9fad05f0fca09f134df06ca7f0510ee6bf6e1cea236addc1

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:cc22f1850eed02b9543544870d0b59432a026bea220107a5890406fc15a438ac

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:ac09aa1563f35ab92c49a1f6ab2060d9786ee019fb3be9b0a5b1c427a6ab42ee

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:eec171d490b69c7fbaf42901b3a179b51b3cee391afdc39849790634a76456e5

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:f2db863e1cbbd7238cc694412fc341dd6829565708df151bc65982034a9b2222

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:aea1388ad6f852944aa3d74fdfb31dad33d43ac4789e7287058d1bcec0a10778

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=sha256:3f5e75f14820f5f460894a70898854849575b7aca8de0be2c5f82417de27cfd8

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:d6136b938ce6a7d57df4851316b2cca165348f1d0df8dd3878c39322a98b2453

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:fbc34d9dbd44ddcd9b593a9f3a4beb7b232027865d8d10fa413901ba4590554b

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=sha256:95af08374562600f521a65c9863e7d35e2b04e7386dc7e0a4dde4c29461a6db3

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:c4f44ed6386072edf1fe1d8b0036a4429ca29e3831654cbf7b03c8b7501370fd

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:e46ccccd72cbc6a2643fc66338e8eb6da82f50971545a9a2f0a792afa912849b

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=sha256:140ab0dd0ba7d52484d39db1fb0afb73a9ecfb8a9e07b4ce64ac73d14b093773

Pith citing papers

No inbound Pith citation observations are available.