Paper Citation Record · LEDGER

The S-matrix bootstrap with neural optimizers I: zero double discontinuity

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2412.09610.

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

pith.paper-citation-record.v1
2412.09610 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:51:59.145018Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T00:00:47.754633Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation a23f647b-1c8a-4739-81d1-2cf5a2ea5f84 · inbound

Cross-Section Bootstrap: Unveiling the Froissart Amplitude cites this paper.

Cross-Section Bootstrap: Unveiling the Froissart Amplitude The S-matrix bootstrap with neural optimizers I: zero double discontinuity

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-07T10:51:59.145018Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ac932ae-f058-4c68-99d2-d1943c377936 · inbound

Splitting Regions and Shrinking Islands from Higher Point Constraints cites this paper.

Splitting Regions and Shrinking Islands from Higher Point Constraints The S-matrix bootstrap with neural optimizers I: zero double discontinuity

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-06T22:08:39.092189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa683ec5-43d8-4713-adaa-6da853f80a88 · inbound

Primal S-matrix bootstrap with dispersion relations cites this paper.

Primal S-matrix bootstrap with dispersion relations The S-matrix bootstrap with neural optimizers I: zero double discontinuity

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-22T00:00:47.756505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1bd41b3d-5371-445a-8594-f1b26680005b · inbound

Positivity with Long-Range Interactions cites this paper.

Positivity with Long-Range Interactions The S-matrix bootstrap with neural optimizers I: zero double discontinuity

Reference 137

Resolution: verified exact; arxiv_id, observed 2026-05-16T21:58:36.191561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1d56cbed-b511-47f4-8224-ea2c6cf28ee0 · inbound

Descending into the Modular Bootstrap cites this paper.

Descending into the Modular Bootstrap The S-matrix bootstrap with neural optimizers I: zero double discontinuity

Reference 48

Resolution: verified exact; arxiv_id, observed 2026-05-13T21:43:18.879023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c1da0858-3be0-49ba-a31b-15abea6cbebe · inbound

Descending into the Modular Bootstrap cites this paper.

Descending into the Modular Bootstrap The S-matrix bootstrap with neural optimizers I: zero double discontinuity

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-04T05:40:05.329702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6ca6930-cb4b-4f92-90f4-48272f88e6c7 · inbound

The Phases of the Scalar S-Matrix Island cites this paper.

The Phases of the Scalar S-Matrix Island The S-matrix bootstrap with neural optimizers I: zero double discontinuity

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-11T20:51:14.690379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.