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Paper Citation Record · LEDGER

Rigorous bounds on the Analytic $S$-matrix

As of 7 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 2026-08-07T06:34:17.273281+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=sha256:04f91fd28be060dc0cafb836e98d7d5b1fa4a9b5e94eab23e4adeb33dce00607

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=sha256:182ee249efabdaee444e5d3f292c53ce51d2494d21f7a62990378c886dc8dbd0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-22T00:00:12.685911Z digest=sha256:a421b9d3483a7de65ba1805020b60a4c190b40dc36b5345f777b15d919c3af33

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=sha256:6487c05df0945839865120860f5c2c7fa2eaa592fa033de7a9725c47c1cb858d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-13T22:40:49.870010Z digest=sha256:5932f357d8c182cac4cf3f56a3cef6e1fc88a26a8980afc75d02ffc69be7ecfc

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-08T07:45:45.359911Z digest=sha256:a4f96fc6e65edc1f866717cceda522a0e8922168872ed653a061cfb7ca68f94b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-13T03:17:03.289602Z digest=sha256:a7e938c763671d5470f8668be8de8472954012bc86ecf0cad3652dcebcacce42

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-30T22:10:29.803501Z digest=sha256:3b230df3d20752e1e6612bf4d1b99daf1d95aba18fd338d3a2e73c60d8a766f7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T19:47:04.394073Z digest=sha256:40b1c349274f213ef0e3fb52c32b21e6da3b5ad82d66f3eef7a50976e1107985

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=sha256:4f1efd030824eab3285bece37b99f7e5925498ada963d1f27c350c36f9cea9f5