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Paper Citation Record · LEDGER

Rigorous bounds on the Analytic $S$-matrix

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2106.10257.

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

pith.paper-citation-record.v1
2106.10257 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:51:59.040941Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T02:19:24.084625Z

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 46cea933-eb4a-4a4d-bb0c-4cd856924db9 · inbound

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

Cross-Section Bootstrap: Unveiling the Froissart Amplitude Rigorous bounds on the Analytic $S$-matrix

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-07T10:51:59.040941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:51:59.040941Z digest=sha256:617e639ecc10eeb6d3035a74b86f1784a444185bab28c242b9d9d6a08e7855c6

Observation 5537747e-7196-4ee9-af32-5b1775b65f2b · inbound

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

Splitting Regions and Shrinking Islands from Higher Point Constraints Rigorous bounds on the Analytic $S$-matrix

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-06T22:08:33.786294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:08:33.786294Z digest=sha256:ae4dcbe96c1089f43a95116390679318d05f99bb19acb2af7d2379d21ec5322b

Observation aa8aa98f-a111-4176-8487-1b36539a5d4c · inbound

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

Primal S-matrix bootstrap with dispersion relations Rigorous bounds on the Analytic $S$-matrix

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-22T00:00:47.590232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-22T00:00:12.685911Z digest=sha256:21d8381179f3f663f7392f9cf217613e9704f6ce26fbf263e1e1391bfc20b15d

Observation b06c5564-d75d-433d-873d-5396566216cd · inbound

Strings from Almost Nothing cites this paper.

Strings from Almost Nothing Rigorous bounds on the Analytic $S$-matrix

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-05T21:19:22.854748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:19:22.854748Z digest=sha256:02a88cc05cdbf1fde2c3ee8fe75c422b849f42299b65b47f48e4e7274c6f6f80

Observation 057296be-b0ef-4ef2-ba5c-5fa22b412399 · inbound

Full positivity bounds for anomalous quartic gauge couplings in SMEFT cites this paper.

Full positivity bounds for anomalous quartic gauge couplings in SMEFT Rigorous bounds on the Analytic $S$-matrix

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-05-13T22:43:23.300673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-13T22:40:49.870010Z digest=sha256:9576cb5b9bc7f833d7e0a112fe9db09abcf8f1d40e674cb3b31fe15e5ca54d39

Observation 7da72ad7-29c6-4553-8293-6b8070e91de9 · inbound

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

The Phases of the Scalar S-Matrix Island Rigorous bounds on the Analytic $S$-matrix

Reference 3

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T20:51:14.615722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-08T07:45:45.359911Z digest=sha256:a9a832948df865e8b13f4118fe77532255dd1ea99379535c04bc5ead5e7e3ed3

Observation 467d980a-295b-46d0-8439-6918251f3e51 · inbound

Analytic Bootstrap of the Veneziano Amplitude cites this paper.

Analytic Bootstrap of the Veneziano Amplitude Rigorous bounds on the Analytic $S$-matrix

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-13T03:17:10.912007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-13T03:17:03.289602Z digest=sha256:a532a96ccfdcc9f62de3b899470a362f0636de80675ed0eab090ad688c1572b6

Observation be29c8c5-9fdc-4740-9830-98058cad4085 · inbound

Analytic Bootstrap of the Veneziano Amplitude cites this paper.

Analytic Bootstrap of the Veneziano Amplitude Rigorous bounds on the Analytic $S$-matrix

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-07-01T14:15:46.940144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T22:10:29.803501Z digest=sha256:64e41f96c94b87d9aaf7b01c4406b8af8d83997c6879b561c2b65c440f84e2a0

Observation 405cf009-90e9-4f85-93a3-ec3841f79659 · inbound

A Dispersive Bootstrap for the Virasoro-Shapiro Amplitude cites this paper.

A Dispersive Bootstrap for the Virasoro-Shapiro Amplitude Rigorous bounds on the Analytic $S$-matrix

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-04T02:19:24.085979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T19:47:04.394073Z digest=sha256:402125658f0a721c3860297935c00369c13bc09e3673f6948c9665f1271f37d2

Observation a849df67-8973-479e-8dc5-3e57047fb6dc · inbound

S-matrix bootstrap bounds on self-interacting dark matter cites this paper.

S-matrix bootstrap bounds on self-interacting dark matter Rigorous bounds on the Analytic $S$-matrix

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-02T06:19:15.728218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T06:19:15.728218Z digest=sha256:c12115d920fbb7b7601c99f6696024540279e9f202ad817402a3083a024e2494