Paper Citation Record · LEDGER

Beyond endoscopy for the symmetric square representation: The simple trace formula case

As of 12 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2607.25383.

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

pith.paper-citation-record.v1
2607.25383 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T02:43:37.691434Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

verified exact0
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5fc79096-84cc-4b61-86f8-87d47860e334 · outbound

This paper cites P oisson summation and isolation of special representations , Compos.

Beyond endoscopy for the symmetric square representation: The simple trace formula case P oisson summation and isolation of special representations , Compos

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:36.925245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e2f64bf-8da2-4b20-8a78-ca7e997a1903 · outbound

This paper cites an unresolved cited work.

Beyond endoscopy for the symmetric square representation: The simple trace formula case Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:36.971002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a99ce6d8-f88a-418e-8ad3-1129a0515ed8 · outbound

This paper cites an unresolved cited work.

Beyond endoscopy for the symmetric square representation: The simple trace formula case Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:37.018552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9f8bd00-39c8-451d-86d1-b3cba4f6b2b4 · outbound

This paper cites an unresolved cited work.

Beyond endoscopy for the symmetric square representation: The simple trace formula case Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:37.060462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ad9e66c-b304-4dbd-aed4-a029d6d32600 · outbound

This paper cites Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 1: Poisson summation.

Beyond endoscopy for the symmetric square representation: The simple trace formula case Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 1: Poisson summation

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:37.117098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d45b22fd-a353-48a9-bb4a-6506e45f27a6 · outbound

This paper cites an unresolved cited work.

Beyond endoscopy for the symmetric square representation: The simple trace formula case Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:37.176333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b257b9c-f7d3-4fe6-8472-b0cb97ac414a · outbound

This paper cites Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 3: contribution of the elliptic part.

Beyond endoscopy for the symmetric square representation: The simple trace formula case Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 3: contribution of the elliptic part

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:37.224619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 759e7d6d-1ddb-42ef-8300-af3a54101536 · outbound

This paper cites Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 4: contribution of non-elliptic parts.

Beyond endoscopy for the symmetric square representation: The simple trace formula case Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 4: contribution of non-elliptic parts

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:37.331882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 687d38fd-e450-411e-b6e1-718f4c2beb2a · outbound

This paper cites Getz and Heekyoung Hahn, An introduction to automorphic representations: with a view toward trace formulae, Graduate Texts in Mathematics, vol.

Beyond endoscopy for the symmetric square representation: The simple trace formula case Getz and Heekyoung Hahn, An introduction to automorphic representations: with a view toward trace formulae, Graduate Texts in Mathematics, vol

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:37.374219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c7a0cde-d3c8-4bbb-b8d1-4b4cc59755b5 · outbound

This paper cites Langlands, Beyond endoscopy, Contributions to automorphic forms, geometry, and number theory, Johns Hopkins Univ.

Beyond endoscopy for the symmetric square representation: The simple trace formula case Langlands, Beyond endoscopy, Contributions to automorphic forms, geometry, and number theory, Johns Hopkins Univ

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:37.415901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 769f9c5a-cd06-4483-b445-057a3480b41f · outbound

This paper cites 10, 1879--1960.

Beyond endoscopy for the symmetric square representation: The simple trace formula case 10, 1879--1960

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:37.469822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7eaffa7d-3690-47a0-b7e6-181aa46d5099 · outbound

This paper cites E ndoscopy and B eyond.

Beyond endoscopy for the symmetric square representation: The simple trace formula case E ndoscopy and B eyond

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:37.515697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6ca086b-8a87-4e77-ac61-e074b406a939 · outbound

This paper cites 4, Citeseer, 2005, pp.

Beyond endoscopy for the symmetric square representation: The simple trace formula case 4, Citeseer, 2005, pp

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:37.543557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12e8abd1-468f-45a3-a801-c2e66c1cd7a0 · outbound

This paper cites 163, American Mathematical Soc., 2015.

Beyond endoscopy for the symmetric square representation: The simple trace formula case 163, American Mathematical Soc., 2015

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:37.579466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 778aa9a5-fc9c-493c-804b-80926c1bc1b4 · outbound

This paper cites thesis, Princeton University, 2002.

Beyond endoscopy for the symmetric square representation: The simple trace formula case thesis, Princeton University, 2002

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:37.635884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47ad56a7-d81a-44b2-b064-60a345fef05e · outbound

This paper cites 577, 23--80.

Beyond endoscopy for the symmetric square representation: The simple trace formula case 577, 23--80

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T02:43:37.691434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.