Paper Citation Record · LEDGER

Co-periods and central symmetric cube L-values

As of 12 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2507.15279.

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

pith.paper-citation-record.v1
2507.15279 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:40:41.475729Z

measured 33 of 33 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

33 of 33 outbound references displayed

verified exact0
verified fuzzy28
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 01198ac1-7ea9-408c-a49f-ceca5c23df82 · outbound

This paper cites Bump,Automorphic forms and representations.

Co-periods and central symmetric cube L-values Bump,Automorphic forms and representations

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:48.550524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d6e85b32-3d09-489c-8bae-7539757fecc4 · outbound

This paper cites Bump and D.Ginzburg,Symmetric square L-functions onGL(r), Ann.

Co-periods and central symmetric cube L-values Bump and D.Ginzburg,Symmetric square L-functions onGL(r), Ann

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:48.309392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c1c97e85-bac8-499c-8f2c-8e89f4639a55 · outbound

This paper cites an unresolved cited work.

Co-periods and central symmetric cube L-values Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:40:48.136379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 320e5995-b4a3-4159-8535-b820c71963a5 · outbound

This paper cites Relative Langlands Duality.

Co-periods and central symmetric cube L-values Relative Langlands Duality

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T15:40:38.869104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1ce2cf6-12cb-4035-b574-17d85cdcdc85 · outbound

This paper cites Casselman,The restriction of a representation ofGL2(K) to GL2(O).

Co-periods and central symmetric cube L-values Casselman,The restriction of a representation ofGL2(K) to GL2(O)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:47.957130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 064d1638-3130-40a4-99b3-c63230f35e87 · outbound

This paper cites Fratila, D.

Co-periods and central symmetric cube L-values Fratila, D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:47.805740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 60d1a446-50da-4c00-9d4e-4f640bca3550 · outbound

This paper cites Ginzburg, D.

Co-periods and central symmetric cube L-values Ginzburg, D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:47.634633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d1a1ce99-9c5f-4118-ab19-b9b84421edef · outbound

This paper cites Hoffstein, J.

Co-periods and central symmetric cube L-values Hoffstein, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:47.459505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 55139419-ffe9-4ab9-bc88-845d50163eda · outbound

This paper cites Hsieh,Hida families andp-adic triple productL-functions.

Co-periods and central symmetric cube L-values Hsieh,Hida families andp-adic triple productL-functions

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:47.141449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e16b1411-993f-430f-9574-374768bed6e8 · outbound

This paper cites Ichino,Trilinear forms and the central values of triple product L-functions.

Co-periods and central symmetric cube L-values Ichino,Trilinear forms and the central values of triple product L-functions

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:46.848644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 67fe56f7-2c21-46f9-b5ad-fb9daef3e7a2 · outbound

This paper cites an unresolved cited work.

Co-periods and central symmetric cube L-values Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:40:46.656221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 827be9cb-e01b-4f47-8dc5-d6113d0d6347 · outbound

This paper cites Kaplan, The characterization of theta-distinguished representations ofGL(n).

Co-periods and central symmetric cube L-values Kaplan, The characterization of theta-distinguished representations ofGL(n)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:46.463297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 79b332dc-b981-49cc-aee9-adcaf3b1a743 · outbound

This paper cites Kazhdan and S.J.

Co-periods and central symmetric cube L-values Kazhdan and S.J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:46.233287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation eb05ef22-d194-4fdd-a0d3-cb6585802613 · outbound

This paper cites an unresolved cited work.

Co-periods and central symmetric cube L-values Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:40:46.039903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 37b9c4e2-840f-448f-9b3f-9d6bbc3445d6 · outbound

This paper cites Loke,Trilinear forms ofgl(2).

Co-periods and central symmetric cube L-values Loke,Trilinear forms ofgl(2)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:45.847625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 721898b0-5e68-4933-a200-12f5f8a4fcb9 · outbound

This paper cites Michel and A.

Co-periods and central symmetric cube L-values Michel and A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:45.689086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 67d483ff-55be-4d2a-84b2-2407d2f1b341 · outbound

This paper cites Newton and J.

Co-periods and central symmetric cube L-values Newton and J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:45.492919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9f55fe1d-e350-4d5e-a322-828618c8fd5e · outbound

This paper cites Newton and J.

Co-periods and central symmetric cube L-values Newton and J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:45.312521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fe342f15-962c-49e2-b310-02e6af78614e · outbound

This paper cites an unresolved cited work.

Co-periods and central symmetric cube L-values Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:40:45.161099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 79c58cf1-97ae-4b41-a2af-107ea3fc68a1 · outbound

This paper cites Prasad, Trilinear forms for representations ofGL(2) and local ϵ-factors.

Co-periods and central symmetric cube L-values Prasad, Trilinear forms for representations ofGL(2) and local ϵ-factors

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:44.867786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bfd03db8-e09b-4d73-a451-77fcceccb988 · outbound

This paper cites Prasad,Relating invariant linear form and local epsilon factors via global methods.

Co-periods and central symmetric cube L-values Prasad,Relating invariant linear form and local epsilon factors via global methods

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:44.705840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 04cea02e-75e4-423d-915e-d330fa50ab31 · outbound

This paper cites Prasad, Ext-analogues of branching laws.

Co-periods and central symmetric cube L-values Prasad, Ext-analogues of branching laws

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:44.552502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c0929a13-a435-493b-94d1-537682b1d3f1 · outbound

This paper cites Raghuram, Kirillov theory for GL2(D) where D is a division algebra over a non- Archimedean local field.

Co-periods and central symmetric cube L-values Raghuram, Kirillov theory for GL2(D) where D is a division algebra over a non- Archimedean local field

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:44.365103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4a465820-055c-4944-9334-75172c7d8a6c · outbound

This paper cites Pate and D.

Co-periods and central symmetric cube L-values Pate and D

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:44.127833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation afe52b77-911a-4b5e-a208-5d39568d9055 · outbound

This paper cites Patel and D.

Co-periods and central symmetric cube L-values Patel and D

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:43.849589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation eb3602f3-7d5e-4ee5-a1e3-71d28a2bad31 · outbound

This paper cites Takloo-Bighash,Bessel models forGSp(4).

Co-periods and central symmetric cube L-values Takloo-Bighash,Bessel models forGSp(4)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:43.571542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 898dd82f-80e5-4a96-bea5-2db1dda91392 · outbound

This paper cites Schmidt,Some remarks on local newforms forGL(2).

Co-periods and central symmetric cube L-values Schmidt,Some remarks on local newforms forGL(2)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:43.353962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d92794d9-46c3-4e12-bd25-763ab370e70f · outbound

This paper cites Sakellaridis and A.

Co-periods and central symmetric cube L-values Sakellaridis and A

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:43.023592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 338c38db-8fb6-4ee5-956f-b21846fc2234 · outbound

This paper cites Shahidi,On the Ramanujan conjecture and finiteness of poles for certainL-functions.

Co-periods and central symmetric cube L-values Shahidi,On the Ramanujan conjecture and finiteness of poles for certainL-functions

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:42.778390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7c8cf171-a447-4bc0-bfe4-0924c643440b · outbound

This paper cites Shahidi,Third symmetric powerL-functions for GL(2).

Co-periods and central symmetric cube L-values Shahidi,Third symmetric powerL-functions for GL(2)

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:42.561182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fe5e04f2-fa59-41bf-baed-a2289aef40de · outbound

This paper cites Takeda,The twisted symmetric squareL-function of GL(r), Duke Math.

Co-periods and central symmetric cube L-values Takeda,The twisted symmetric squareL-function of GL(r), Duke Math

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:42.344604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7082c678-a86b-4998-b3c5-83ae4fde2170 · outbound

This paper cites Yamana,Local symmetric squareL-factors of representations of general linear groups, Pacific Journal of Math., 286(2017), no.

Co-periods and central symmetric cube L-values Yamana,Local symmetric squareL-factors of representations of general linear groups, Pacific Journal of Math., 286(2017), no

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:42.073404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2fe0e288-1909-4c8a-8230-f3e647442042 · outbound

This paper cites Yamana, Periods of automorphic forms: the trilinear case.

Co-periods and central symmetric cube L-values Yamana, Periods of automorphic forms: the trilinear case

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:40:41.737344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.