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Paper Citation Record · LEDGER

On $L$-functions of Hecke characters and anticyclotomic towers

As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2412.05867.

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

pith.paper-citation-record.v1
2412.05867 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:31:10.264678Z

measured 19 of 19 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:08:51.139644Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T19:08:51.294037Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0545440a-a753-44f6-916f-c807cc6db603 · outbound

This paper cites Darmon, F.

On $L$-functions of Hecke characters and anticyclotomic towers Darmon, F

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:31:10.526159Z

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.

source=pdf_text observed=2026-08-11T20:31:10.180169Z digest=sha256:c9a50ee555b7f05fe97b72fb665b6aa2be5ebe41f7ef642e3ce1a60accdacbae

Observation e9ae1309-3eca-4486-803c-66b421fa99f0 · outbound

This paper cites Greenberg, On the Birch and Swinnerton-Dyer conjecture , Invent.

On $L$-functions of Hecke characters and anticyclotomic towers Greenberg, On the Birch and Swinnerton-Dyer conjecture , Invent

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:31:10.513711Z

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.

source=pdf_text observed=2026-08-11T20:31:10.185745Z digest=sha256:120922d7c4db0e4699bf6c4381004b17e3facbfd3e0ae385be5e7fbad9535ea9

Observation 8e498e70-4101-408f-a108-79c581a76582 · outbound

This paper cites an unresolved cited work.

On $L$-functions of Hecke characters and anticyclotomic towers Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:31:10.501088Z

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.

source=pdf_text observed=2026-08-11T20:31:10.190158Z digest=sha256:0138f556e9593f74273b16058b4cb473f65ac55617e3aed7444dd24898cb3057

Observation ea73e76b-1660-4616-8863-6c1a42e1df42 · outbound

This paper cites Hecke, Mathematische Werke , Vandenhoeck & Ruprecht, 1959.

On $L$-functions of Hecke characters and anticyclotomic towers Hecke, Mathematische Werke , Vandenhoeck & Ruprecht, 1959

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:31:10.487743Z

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.

source=pdf_text observed=2026-08-11T20:31:10.194699Z digest=sha256:42dc38ea6914eca4eb1080de9c5fdfa246150f5226e934c0c3ce6dd06b72426c

Observation 9d409f6f-5fc3-4663-a237-8838f20ff54f · outbound

This paper cites Iwaniec, Topics in Classical Automorphic Forms , Graduate Studies in Mathematics, Vol.

On $L$-functions of Hecke characters and anticyclotomic towers Iwaniec, Topics in Classical Automorphic Forms , Graduate Studies in Mathematics, Vol

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:31:10.473545Z

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.

source=pdf_text observed=2026-08-11T20:31:10.199345Z digest=sha256:797c90c1a1164a54d830b9c79c43937e3e57c6e9187d76bde37fbf6f03fd9b70

Observation 07b17f2a-25c8-470d-939e-71cf574208dc · outbound

This paper cites an unresolved cited work.

On $L$-functions of Hecke characters and anticyclotomic towers Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:31:10.460662Z

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.

source=pdf_text observed=2026-08-11T20:31:10.204281Z digest=sha256:118bd66b9b219526a705a6f3e3e540c1ba29294ae57b87d324782df0681912db

Observation 91435849-a6b7-4290-9733-59f7c12173ff · outbound

This paper cites Miyake, Modular Forms, Springer-Verlag, 1989.

On $L$-functions of Hecke characters and anticyclotomic towers Miyake, Modular Forms, Springer-Verlag, 1989

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T20:31:10.210302Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:31:10.210302Z digest=sha256:aa7711cfdbc3cbf4acc1ed5960020e64955666e91cce70f78b6fcfb8c1c3a81d

Observation a7dc49d2-199a-426e-92e5-42d0347a6d4e · outbound

This paper cites Ridout, The p-adic generalization of the Thue-Siegel-Roth theorem , Mathematika, 5(1958), 40-48.

On $L$-functions of Hecke characters and anticyclotomic towers Ridout, The p-adic generalization of the Thue-Siegel-Roth theorem , Mathematika, 5(1958), 40-48

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:31:10.438572Z

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.

source=pdf_text observed=2026-08-11T20:31:10.214654Z digest=sha256:b61280b05fa7867da688e09c43772562f326b8b899cb1d312d9d48844e083f1c

Observation 923c0e18-07df-40a5-8e74-af8ff60fb997 · outbound

This paper cites an unresolved cited work.

On $L$-functions of Hecke characters and anticyclotomic towers Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:31:10.426284Z

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.

source=pdf_text observed=2026-08-11T20:31:10.218607Z digest=sha256:0f22100e0da650d9d12b9008571acdd909f5101b7129ffe5b62005df8e0c3343

Observation 3f730521-d509-42d4-b62b-eb2bae484525 · outbound

This paper cites an unresolved cited work.

On $L$-functions of Hecke characters and anticyclotomic towers Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:31:10.413735Z

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.

source=pdf_text observed=2026-08-11T20:31:10.222580Z digest=sha256:76bfd90879308e485c8d6305ee82cd9c0788e040c3ddfea8bee4b9337f926e53

Observation fb4f2948-b1e6-4289-a513-9cda42af67de · outbound

This paper cites an unresolved cited work.

On $L$-functions of Hecke characters and anticyclotomic towers Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:31:10.401380Z

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.

source=pdf_text observed=2026-08-11T20:31:10.231751Z digest=sha256:43d417af7de93663c6362d3b20f7c844dfa494098aa157ccc6f05fc3ef171d71

Observation 15548c61-06c0-4817-893c-17da8826db4a · outbound

This paper cites Shimura, On elliptic curves with complex multiplication as factors o f the Jacobians of modular function fields , Nagoya Math.

On $L$-functions of Hecke characters and anticyclotomic towers Shimura, On elliptic curves with complex multiplication as factors o f the Jacobians of modular function fields , Nagoya Math

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:31:10.388838Z

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.

source=pdf_text observed=2026-08-11T20:31:10.236414Z digest=sha256:a2f1099a90a3685e8324986db5bca2b1972c86d556af426569ec5958ac96b42a

Observation 1ea5a92e-427d-41d3-a9e6-19217797c3eb · outbound

This paper cites Shimura, On the zeta-function of an abelian variety with complex mult iplication, Ann.

On $L$-functions of Hecke characters and anticyclotomic towers Shimura, On the zeta-function of an abelian variety with complex mult iplication, Ann

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:31:10.375116Z

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.

source=pdf_text observed=2026-08-11T20:31:10.241024Z digest=sha256:4cb46b4b6c6fac8b36fe4e23ae8df4f1c4ce54c54ed9c9954b90de050608c512

Observation 28932dd0-3a41-46d0-ba51-f9e4634d80a2 · outbound

This paper cites Shimura, Class fields over real quadratic fields and Hecke operators , Ann.

On $L$-functions of Hecke characters and anticyclotomic towers Shimura, Class fields over real quadratic fields and Hecke operators , Ann

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:31:10.361405Z

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.

source=pdf_text observed=2026-08-11T20:31:10.245929Z digest=sha256:1d93a77813f02066e299dc013196eab41ae2876565f5811471b11c0264b87997

Observation 2dfb9690-858f-4339-ae22-941b5a78ff49 · outbound

This paper cites Shimura, The special values of the zeta functions associated with cus p forms , Comm.

On $L$-functions of Hecke characters and anticyclotomic towers Shimura, The special values of the zeta functions associated with cus p forms , Comm

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:31:10.345241Z

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.

source=pdf_text observed=2026-08-11T20:31:10.250640Z digest=sha256:7cf85a7f243a17a7204bb9fd5d22397119b4fe2d5126154545ada450c0da5384

Observation 839dd1b7-8944-48bc-97d9-1de58c3703dc · outbound

This paper cites Shimura, On the periods of modular forms , Math.

On $L$-functions of Hecke characters and anticyclotomic towers Shimura, On the periods of modular forms , Math

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:31:10.331354Z

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.

source=pdf_text observed=2026-08-11T20:31:10.255148Z digest=sha256:2631ecc14bb8d60edf57aaf84bf775e260f5df826343fa36726c54b7cb41ec98

Observation c8fcf004-06da-43c6-8f51-d6b36a2322cd · outbound

This paper cites an unresolved cited work.

On $L$-functions of Hecke characters and anticyclotomic towers Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:31:10.316928Z

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.

source=pdf_text observed=2026-08-11T20:31:10.260151Z digest=sha256:122fd158c5946d57f2bd7fa210f4e70005badca621d021e1b2a45703039ec317

Observation 865b31af-e7a3-4e15-8e5b-f2a2622e402f · outbound

This paper cites an unresolved cited work.

On $L$-functions of Hecke characters and anticyclotomic towers Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:31:10.303602Z

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.

source=pdf_text observed=2026-08-11T20:31:10.264678Z digest=sha256:3d2098abd8335dfcf87c451e0c77ace815b1eb02196891cdf2a130760bf6376f

Pith citing papers

Observation c87951b4-670c-4c09-8c77-f411a6d5b4e5 · inbound

Anticyclotomic Iwasawa theory of CM elliptic curves at ramified primes cites this paper.

Anticyclotomic Iwasawa theory of CM elliptic curves at ramified primes On $L$-functions of Hecke characters and anticyclotomic towers

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-10T19:08:51.302341Z

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.

source=pdf_text observed=2026-08-10T19:08:51.139644Z digest=sha256:2dd4ded53edd3b06ef108b68b8fbb5c517af906dcb8616e67023d160942dcc9b