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Paper Citation Record · LEDGER

Weil's quadratic form via the screw function

As of 11 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2606.09096.

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

pith.paper-citation-record.v1
2606.09096 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T15:07:53.356714Z

measured 18 of 18 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T06:47:35.599509Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 449ccf36-6fcc-4bcd-84a8-15d0e32ab821 · outbound

This paper cites Bombieri, Remarks on Weil’s quadratic functional in the theory of prime numbers.

Weil's quadratic form via the screw function Bombieri, Remarks on Weil’s quadratic functional in the theory of prime numbers

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:6b23b547ecac76c7778dd7c0db654d6bc691a2a875853deaf8c703ad767bd8d2

Observation 759fcfce-86cf-422d-b629-cba9695695e9 · outbound

This paper cites Bombieri, A variational approach to the explicit formula,Comm.

Weil's quadratic form via the screw function Bombieri, A variational approach to the explicit formula,Comm

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:c2c3951a49cb88f0a31c5af6d481077c6004bad4124a0329d767c47c95231532

Observation efbb3ae6-f7fc-4fe9-bb79-6b0e8416040a · outbound

This paper cites Connes, C.

Weil's quadratic form via the screw function Connes, C

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:23621ad29c6a6da1e5095319d4b9a62d09def06afbd38ed4951c0a7d07b2f9ae

Observation a95d1d8f-bf2c-43b6-8f0b-8e8c9186805e · outbound

This paper cites Zeta spectral triples.arXiv preprint arXiv:2511.22755 [math.NT].

Weil's quadratic form via the screw function Zeta spectral triples.arXiv preprint arXiv:2511.22755 [math.NT]

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-03T03:37:35.560176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:28a3a5d166097c5bcaa1f22086fac342892a5b5a64902f1172a7d405b29ec7d9

Observation 5d4c14da-bdd0-481a-a40a-95acc44ebd9e · outbound

This paper cites Fukushima, Y.

Weil's quadratic form via the screw function Fukushima, Y

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:9e7658d098bce8a91b41ee6d69ed752a8b8e917ded27c5da8dad1614326e02bb

Observation e97ecffa-14e2-4daf-b548-40d612b70807 · outbound

This paper cites an unresolved cited work.

Weil's quadratic form via the screw function Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:956a173b2256ccff1dcb0b933f5fe66e68c6caad45b19e1245d2b96ce3909d3c

Observation 90fa8a32-f71e-4a74-a029-faec1a063a53 · outbound

This paper cites Kato, Perturbation theory for linear operators.

Weil's quadratic form via the screw function Kato, Perturbation theory for linear operators

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:8979a4c0fb0b29fa19665d17432a1c259a086c6c813e9decff2076a7b1783875

Observation 922dcb82-adde-4a9f-b0ef-1f487ce3f33b · outbound

This paper cites an unresolved cited work.

Weil's quadratic form via the screw function Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:7c725d07e71960bd741fe5fcf0b6a8a1124737eb902bef1cedbc43a774cbdd02

Observation 32689dda-1246-4376-b480-10c06f8de716 · outbound

This paper cites an unresolved cited work.

Weil's quadratic form via the screw function Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:9d62b8c2b8613fcfcc50662af070f34c299954e25ef4a46e4c14d26514e33872

Observation 4b6a4d4f-3f16-42db-8f7d-84111e738039 · outbound

This paper cites Olver, D.

Weil's quadratic form via the screw function Olver, D

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:1f3e437affcb565a8094a88fcdc74606658b36f34814029da1ecf8b6d82756ac

Observation 1a72a030-a401-45bc-89fa-6dcc4a8d1065 · outbound

This paper cites an unresolved cited work.

Weil's quadratic form via the screw function Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:684ba95da1802431546a10e3b2e13a44ef9377833b304ec6879130ecc5e015aa

Observation 6c4c2182-dd0b-4903-b09a-10bf1b5613f2 · outbound

This paper cites Schm¨ udgen, Unbounded self-adjoint operators on Hilbert space, Graduate Texts in Mathematics 265,Springer, Dordrecht, 2012.

Weil's quadratic form via the screw function Schm¨ udgen, Unbounded self-adjoint operators on Hilbert space, Graduate Texts in Mathematics 265,Springer, Dordrecht, 2012

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:351d6e47762ace2c1d341788ae9183a2c1955e9988003071c6fe85f28261b955

Observation 7dd117bd-52cd-4fd3-85ff-910b0b857d88 · outbound

This paper cites Suzuki, Aspects of the screw function corresponding to the Riemann zeta function,J.

Weil's quadratic form via the screw function Suzuki, Aspects of the screw function corresponding to the Riemann zeta function,J

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:a0e0680dbcc17c093452ef557a8456dacfff2722b696a4eebec5a855b7a9ed33

Observation db70d740-ef58-4b48-9fc9-c070738c9fd1 · outbound

This paper cites Suzuki, On the Hilbert space derived from the Weil distribution,Canadian Journal of Mathe- matics(FirstView).

Weil's quadratic form via the screw function Suzuki, On the Hilbert space derived from the Weil distribution,Canadian Journal of Mathe- matics(FirstView)

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:42d70a02efba481cb4e7df9b0f2b7554b4f161ac0b4eccf0eeb082cd9c37f295

Observation 37963d8e-59ec-4a0a-aed0-b373de5d0972 · outbound

This paper cites formules explicites.

Weil's quadratic form via the screw function formules explicites

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:52fc98e6c9cc6e8d61ada8c122768b6d3015cea33d8700c26f42d76060dd5567

Observation 585c497e-7161-4c43-a6c3-51547366a6bc · outbound

This paper cites Weil, Sur les formules explicites de la th´ eorie des nombres,Izv.

Weil's quadratic form via the screw function Weil, Sur les formules explicites de la th´ eorie des nombres,Izv

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:072981fca65ad74a8407df9407b8154bb3cd14b75ded0644b9c5775d4244814a

Observation 7d6773d1-faf4-4a20-9876-4e915f64deb9 · outbound

This paper cites Yoshida, On Hermitian forms attached to zeta functions,Zeta functions in geometry (Tokyo, 1990), 281–325, Adv.

Weil's quadratic form via the screw function Yoshida, On Hermitian forms attached to zeta functions,Zeta functions in geometry (Tokyo, 1990), 281–325, Adv

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-27T15:07:53.356714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:cd1f4506034f6d2b757290d6ed9814a7903e63e9348d3f5392503df92bcf7ff7

Pith citing papers

Observation 5d936782-8218-4100-a3aa-3459c01a8ef3 · inbound

A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form cites this paper.

A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form Weil's quadratic form via the screw function

Reference 26

Resolution
unresolved
no resolver link, observed 2026-07-12T06:47:35.599509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T06:47:35.599509Z digest=sha256:a9a644d587352b5e1c4cd771e2bff0fc730cdf00209355b77781ac9ad7688865