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Paper Citation Record · LEDGER

Weil's quadratic form via the screw function

As of 7 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 2026-08-06T06:34:29.942622+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:eb7fd3ea46d331f77f52a81e81f029ee7341c4daf58f95ed4cf4ee565596d227

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=sha256:43a16f204d7b040e1415d60a3a58878a6146107b2db3810c6ae71125bcba9522

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=sha256:8a5bf8def04fed5f449416c93cec2154bc90915366092bbeac83a8b42bd98c7e

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-27T15:07:53.356714Z digest=sha256:1b1800ff297461fba67b7f8a7880f09c1953ee5d4536e7b7173328b31e7efb68

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=sha256:4a7d48b6c1456d2238094c85f3565c689f609cc961739dba04e2df92d1cd5f56

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:f9b7540975b6b496335be6e7b90a38ed0bae14c5d11eea0acef87f36691a488d

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=sha256:49c645448a4851b64bdb8ef49f20e2ff909bee84e900dbcf276371179ab850dc

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:ee4256473e1e6b8bbe59d883bcd036c68aefe3a83e50da68b5e20832546df49f

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=sha256:2503c71e98bfe511b099b8d1642bab7c7af8d9980619b0d703d31e1fbfb47672

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=sha256:2289199b4e82baf37cf9312fb3a4aeb022c94b0a8592e3f88030c66266c16f17

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=sha256:0f19e89c37597f5652e54ff675d21f3280601c3c1e01b5f131bd18e59cd996e7

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=sha256:4e9c8612af7902686875ede9ca190969c2d813cb68b4b94a38f63a534f303e4d

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=sha256:9c3792f9839db983afaaa5b77923cc97ae435d95d2b0e9436c6f9d2c511a5a94

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=sha256:18021f4e74b9a9c2a7404dac6abd2c74e8c909cec530c858f0190c1e1f050588

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=sha256:755fc3c1c3e1100e275286876a187e2cbf6b72988877be070d228dc5b871021e

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=sha256:4f13c47077082b52c5498ab3447a6bbf1fae7118bacd0a2a47f37e094a0bbb13

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:b5868f573a49803a8ad318157c1b0e0f0cf453fc4fe3ab1f8b5fa1492933b5d4

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:a6711d2bb87299de7db0f694ec336f879b9d97c282df393d75f9fe0856451e15