Paper Citation Record · LEDGER

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions

As of 15 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2412.11147.

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

pith.paper-citation-record.v1
2412.11147 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:20:27.310596Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

41 of 41 outbound references displayed

verified exact2
verified fuzzy30
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 93cb50c7-5527-4c2b-83f7-e450bfab3fd0 · outbound

This paper cites Interpolation of Beilinson - Kato elements and $p$ -adic $L$ -functions.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Interpolation of Beilinson - Kato elements and $p$ -adic $L$ -functions

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:28.183783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c7b7b93c-2ac2-4fe2-8d9f-c11874719284 · outbound

This paper cites On the exceptional zeros of $p$ -non-ordinary $p$ -adic $L$ -functions and a conjecture of Perrin - Riou.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions On the exceptional zeros of $p$ -non-ordinary $p$ -adic $L$ -functions and a conjecture of Perrin - Riou

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:28.159115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 63cdb0ef-b646-425a-9b5a-8db9e1a94603 · outbound

This paper cites Arithmetic of critical $p$-adic $L$-functions.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Arithmetic of critical $p$-adic $L$-functions

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T15:20:27.026093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89e49e8a-ffdd-47e8-bb46-22e38dfc6b11 · outbound

This paper cites On the Artin formalism for triple product $p$-adic $L$-functions: Super-factorization.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions On the Artin formalism for triple product $p$-adic $L$-functions: Super-factorization

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T15:20:27.033359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4a88301-78aa-4d91-b580-d4a391a90c08 · outbound

This paper cites Beilinson- F lach elements and E uler systems I : S yntomic regulators and p -adic R ankin L -series.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Beilinson- F lach elements and E uler systems I : S yntomic regulators and p -adic R ankin L -series

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T15:20:27.039445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6cacccf-5647-4527-83bf-76e681157788 · outbound

This paper cites Beilinson- F lach elements and E uler systems II : the B irch- S winnerton- D yer conjecture for H asse- W eil- A rtin L -series.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Beilinson- F lach elements and E uler systems II : the B irch- S winnerton- D yer conjecture for H asse- W eil- A rtin L -series

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T15:20:27.047719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 213fbc41-f50c-4821-81fc-90a555c9eef6 · outbound

This paper cites e l Bella\.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions e l Bella\

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:28.113476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a398b16c-2455-4792-bcf2-b7e2792580a8 · outbound

This paper cites Selmer complexes and p -adic H odge theory.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Selmer complexes and p -adic H odge theory

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:28.095627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ea37e122-c5a4-4e85-9c0b-7f422d74cc1b · outbound

This paper cites p -adic heights and p -adic H odge theory.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions p -adic heights and p -adic H odge theory

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:28.078498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b45fff01-b6b7-4959-ad44-7d217d740a69 · outbound

This paper cites \' E quations diff\' e rentielles p -adiques et ( ,N) -modules filtr\' e s.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions \' E quations diff\' e rentielles p -adiques et ( ,N) -modules filtr\' e s

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:28.059020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5debbcf3-dec9-43d0-967d-c77b641780a0 · outbound

This paper cites Non-archimedean Analysis: A Systematic Approach to Rigid Analytic Geometry , volume 261.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Non-archimedean Analysis: A Systematic Approach to Rigid Analytic Geometry , volume 261

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:28.038526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5729f59b-4273-4caf-b75f-e8be1d78b7ba · outbound

This paper cites Interpolation of generalized heegner cycles in coleman families.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Interpolation of generalized heegner cycles in coleman families

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:28.021242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 225bce5a-1b7a-45e8-bb6e-193e7f326e71 · outbound

This paper cites Iwasawa theory for symmetric squares of p -non-ordinary eigenforms.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Iwasawa theory for symmetric squares of p -non-ordinary eigenforms

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:28.003305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fc13ea79-ab90-42bf-ae3f-65af4536d0ac · outbound

This paper cites Tensor products.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Tensor products

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.983500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 736aaf54-0f6f-4bcc-8842-7e0082c68873 · outbound

This paper cites Determinant functors.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Determinant functors

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.964694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1d22c0f6-e3b3-4a4c-8788-67d494aadffe · outbound

This paper cites A p -adic variational H odge conjecture and modular forms with complex multiplication, 1997.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions A p -adic variational H odge conjecture and modular forms with complex multiplication, 1997

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.943329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ba32a521-9758-451c-b369-d5e584df3ac4 · outbound

This paper cites On the local behavior of ordinary modular G alois representations.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions On the local behavior of ordinary modular G alois representations

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.921475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2252cfbc-ac3d-4f0e-8cee-758ab0963008 · outbound

This paper cites an unresolved cited work.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:20:27.900405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7e3ca581-e137-487f-9d68-b175ed0658ee · outbound

This paper cites Rankin- Eisenstein classes and explicit reciprocity laws.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Rankin- Eisenstein classes and explicit reciprocity laws

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.880789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 26caa24b-a771-4339-b480-122a4afc82d2 · outbound

This paper cites Rankin- Eisenstein classes for modular forms.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Rankin- Eisenstein classes for modular forms

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.860566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0041c8d1-fb0e-4d1a-82a6-9fe2ee886c6f · outbound

This paper cites Kedlaya, Jonathan Pottharst, and Liang Xiao.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Kedlaya, Jonathan Pottharst, and Liang Xiao

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T15:20:27.184372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a5c0d18-1408-4cce-8936-e8c8b9d0602e · outbound

This paper cites Euler systems and the symmetric square of a hida family, 2024.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Euler systems and the symmetric square of a hida family, 2024

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.827171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 61d26c4e-8160-4db7-828c-4959e9cbd3d9 · outbound

This paper cites Factorization of Algebraic $p$-adic $L$-functions Attached to Adjoint Representations of Coleman Families: Non-critical Case.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Factorization of Algebraic $p$-adic $L$-functions Attached to Adjoint Representations of Coleman Families: Non-critical Case

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-11T15:20:27.397061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 25dce6ce-66e3-4dba-bf9c-1fd31dc00687 · outbound

This paper cites an unresolved cited work.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:20:27.810310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9feafbf6-5c1b-4e78-a831-013b1684b348 · outbound

This paper cites Images of adelic G alois representations for modular forms.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Images of adelic G alois representations for modular forms

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.790256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 16591e47-9a91-4f5e-9ebf-53a448a8b2ab · outbound

This paper cites Iwasawa theory and p -adic L -functions over Z _p^2 -extensions.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Iwasawa theory and p -adic L -functions over Z _p^2 -extensions

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.769698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6fe32f63-1bf7-4f3e-8314-6a0a056530cd · outbound

This paper cites Iwasawa theory for the symmetric square of a modular form.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Iwasawa theory for the symmetric square of a modular form

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.748217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7b4cd65a-bb5a-4f46-b5a3-e53e6d2c2589 · outbound

This paper cites Rankin- Eisenstein classes in Coleman families.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Rankin- Eisenstein classes in Coleman families

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.725893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 22ea3fb2-e06f-4b3a-a134-8651e8a7ba05 · outbound

This paper cites Tate algebras.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Tate algebras

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.705097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0bda0cec-c78d-44e2-90fb-6aba6105f4f6 · outbound

This paper cites On the -adic representations attached to modular forms.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions On the -adic representations attached to modular forms

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.683528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bb583695-b196-4044-a0d0-b0736e3992b6 · outbound

This paper cites Selmer complexes.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Selmer complexes

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.660474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 065a467a-f978-4875-874e-a2cbd6c6da8c · outbound

This paper cites A formal model of C oleman families and applications to I wasawa invariants.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions A formal model of C oleman families and applications to I wasawa invariants

Reference 32

Resolution: verified exact; doi, observed 2026-08-11T15:20:27.367852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 57302322-ae1c-415e-8b0e-2d5c3ab7dfd8 · outbound

This paper cites C yclotomic I wasawa theory of motives.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions C yclotomic I wasawa theory of motives

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.641882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7747bbaa-af23-408c-b3dd-0c07499e0443 · outbound

This paper cites Analytic families of finite-slope S elmer groups.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Analytic families of finite-slope S elmer groups

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.622983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5fc47f21-0d36-4b6f-b89d-6de851111c02 · outbound

This paper cites an unresolved cited work.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:20:27.605231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 31cbc9b9-6388-4d52-83d9-43f817a7af8e · outbound

This paper cites Sur les series formelles restreintes.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Sur les series formelles restreintes

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.586638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a2d8e231-0d5e-48ec-8308-a990cb7dbadf · outbound

This paper cites Abelian l -adic representations and elliptic curves.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Abelian l -adic representations and elliptic curves

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.562807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a0189f6b-2fcd-4fba-a31e-f73837e11495 · outbound

This paper cites Algebras of p -adic distributions and admissible representations.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Algebras of p -adic distributions and admissible representations

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.541522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 14989a23-cc62-4f31-93f8-1069c4f09ec1 · outbound

This paper cites The S tacks project, 2024.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions The S tacks project, 2024

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.519386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ca209ab1-ed12-45b5-84b9-435ebf45a5c5 · outbound

This paper cites an unresolved cited work.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:20:27.498286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f4b45c53-c5af-4ba5-9db1-0dc49647a551 · outbound

This paper cites Local indecomposability of H ilbert modular G alois representations.

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions Local indecomposability of H ilbert modular G alois representations

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:20:27.474062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.