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Paper Citation Record · LEDGER

$p$-adic Higher Green's Functions for Stark-Heegner Cycles

As of 12 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2509.09446.

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

pith.paper-citation-record.v1
2509.09446 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T19:20:44.470043Z

measured 29 of 29 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 2026-05-15T10:28:38.739693Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T10:29:56.033742Z

Reference resolution

28 of 28 outbound references displayed

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External citation measurements

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Outbound references

Observation c1f12a39-75e3-44e6-857d-d36017e0a9fd · outbound

This paper cites Modular forms in characteristic l and special values of their L -functions.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Modular forms in characteristic l and special values of their L -functions

Reference 1

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source=arxiv_source observed=2026-08-04T19:20:44.219503Z digest=sha256:4b239525294826909185a341b944a4230e9ad933f14fc52f2bda5a7fde773624

Observation 1b0fa369-24b3-45ed-a775-963277be4ff4 · outbound

This paper cites The rationality of S tark- H eegner points over genus fields of real quadratic fields.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles The rationality of S tark- H eegner points over genus fields of real quadratic fields

Reference 2

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source=arxiv_source observed=2026-08-04T19:20:44.225214Z digest=sha256:9381ea597b93beaabfec9c6cd0cbb00089560e79dc7b498614adac298122706c

Observation 5364ad90-0eea-43d4-8ff0-fa7f08cab6f0 · outbound

This paper cites C M values of higher automorphic G reen functions for orthogonal groups.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles C M values of higher automorphic G reen functions for orthogonal groups

Reference 3

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source=arxiv_source observed=2026-08-04T19:20:44.230283Z digest=sha256:7baa0c513e26f7632c76ec4d40c72c0917325d0ee38691efa9dd3ba5426cd5b6

Observation 9fe7c00b-5698-488d-b336-3a0a1d85a2d0 · outbound

This paper cites Bruinier, Yingkun Li, and Tonghai Yang.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Bruinier, Yingkun Li, and Tonghai Yang

Reference 4

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source=arxiv_source observed=2026-08-04T19:20:44.234877Z digest=sha256:7dfbca348f8864a1087dbcc13e1079b0de1a364eee782f5bcb4f6fee2d4103db

Observation 4bae81a5-bb11-4a8c-852f-7a077cc013e6 · outbound

This paper cites Invariant L et s\'erie sp\'eciale p -adique.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Invariant L et s\'erie sp\'eciale p -adique

Reference 5

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source=arxiv_source observed=2026-08-04T19:20:44.240517Z digest=sha256:53183651cb3cac040423f92e9220d7e609b5c196e88f4da47628ed0ba29d6e19

Observation 2ca43bea-0bdd-44f2-b304-6682008305e3 · outbound

This paper cites S\'erie sp\'eciale p -adique et cohomologie \'etale compl\'et\'ee.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles S\'erie sp\'eciale p -adique et cohomologie \'etale compl\'et\'ee

Reference 6

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source=arxiv_source observed=2026-08-04T19:20:44.245671Z digest=sha256:acfa23313b2946a1a9d326cf3b221ca27784e859d2a67db1cde6ab72ee0f78ce

Observation f95d1bb5-9c2e-4897-8a7a-c4c18f5ae3d0 · outbound

This paper cites an unresolved cited work.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Unresolved cited work

Reference 7

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source=arxiv_source observed=2026-08-04T19:20:44.251428Z digest=sha256:5cfb41f00435232dea428888b05edbb4ede0209d993d7530ff57a13713aba150

Observation e0385e60-69cb-47f5-a569-f9d39fd9af6a · outbound

This paper cites Choie and D.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Choie and D

Reference 8

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source=arxiv_source observed=2026-08-04T19:20:44.256141Z digest=sha256:a42673dee31a91c687302fc560c65c57c7e5c08e645bd2fd11301393d3a4fff6

Observation c7fbe93b-3a7c-497d-be88-dc02ce45631f · outbound

This paper cites Integration on h_p h and applications.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Integration on h_p h and applications

Reference 9

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source=arxiv_source observed=2026-08-04T19:20:44.260667Z digest=sha256:7d00079d1a758e8bb6a9b4eb67f21f1316a15e76d0df65261a13c3a99ad83373

Observation 38aca906-28e5-4cf4-9538-e8ffe3640d16 · outbound

This paper cites atsverlag G\.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles atsverlag G\

Reference 10

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source=arxiv_source observed=2026-08-04T19:20:44.265032Z digest=sha256:c2dc08a5626d96fdd4d6618d455b9d188fe8978d9c16c5bea8ba0cf0d4165842

Observation 104248c7-e7d0-418c-ac1b-75070e61f3c6 · outbound

This paper cites Dasgupta and J.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Dasgupta and J

Reference 11

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source=arxiv_source observed=2026-08-04T19:20:44.269540Z digest=sha256:b381bae1ebbf0dab974a371ca4f18cabe87c472868f2bb8eeb43199fe8861ab1

Observation 880c1ca9-a659-411f-89b1-f4fc08695289 · outbound

This paper cites Singular moduli for real quadratic fields: a rigid analytic approach.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Singular moduli for real quadratic fields: a rigid analytic approach

Reference 12

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source=arxiv_source observed=2026-08-04T19:20:44.274023Z digest=sha256:be6fcfecbc9433023e649aa8e8ee5424d89def0ecaf01c144a8253d19988505d

Observation e1801a4e-d2e2-44b1-a56a-97b88ea5479e · outbound

This paper cites Arithmetic intersections of modular geodesics.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Arithmetic intersections of modular geodesics

Reference 13

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source=arxiv_source observed=2026-08-04T19:20:44.280771Z digest=sha256:c842140214571570b3b4175b30b1f62631477b3aeb60468dc2ed605e16f67ef5

Observation bafe338b-1275-4051-a196-73f7eefae254 · outbound

This paper cites Gross, W.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Gross, W

Reference 14

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source=arxiv_source observed=2026-08-04T19:20:44.285511Z digest=sha256:e83c970f0cdb215a0131f89ecfb301dd191797b7817f50fc8f0a63ca65d9603e

Observation 21a2e91c-ac0e-4ef2-b1da-0759f540e50b · outbound

This paper cites Gillet and C.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Gillet and C

Reference 15

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source=arxiv_source observed=2026-08-04T19:20:44.289799Z digest=sha256:5fc6629a541d23029d0c63b0bf2ff36f046727ef8423e46de4cbb2fada2c52ee

Observation 2740a42d-bf8e-41ea-ba48-d3dddf8292bb · outbound

This paper cites an unresolved cited work.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Unresolved cited work

Reference 16

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source=arxiv_source observed=2026-08-04T19:20:44.294495Z digest=sha256:8b3febe8aad1a758828adba162f7a5fa612f5be2d103bf86694287df3dc69f3b

Observation 43a37737-4d9c-4144-b09c-9be7693f6d77 · outbound

This paper cites Elementary theory of L -functions and E isenstein series , volume 26 of London Mathematical Society Student Texts.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Elementary theory of L -functions and E isenstein series , volume 26 of London Mathematical Society Student Texts

Reference 17

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source=arxiv_source observed=2026-08-04T19:20:44.299030Z digest=sha256:879dae2eda47980389f506e59a61055874c432dfa5c716163bc5a95527ed1b2e

Observation 878f04e5-9253-4566-a23e-5cd8a38f88bc · outbound

This paper cites Average CM -values of higher G reen's function and factorization.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Average CM -values of higher G reen's function and factorization

Reference 18

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source=arxiv_source observed=2026-08-04T19:20:44.303494Z digest=sha256:4952d64e392e66d72cdc910b43486a81950605b12e137bb28556b90b97188d24

Observation 7b67d9a2-0744-4eee-a0f6-cf45993aea69 · outbound

This paper cites Higher Green’s functions for modular forms.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Higher Green’s functions for modular forms

Reference 19

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source=arxiv_source observed=2026-08-04T19:20:44.308194Z digest=sha256:19b9e7c367f35b9f9180c637eefeb01bf15b2da9badabdb3c78cb574f5940bed

Observation e9a7c5d6-bd28-4c15-93a5-b5d422b0958a · outbound

This paper cites Analytic representations of SL _2 over a p -aidc number field.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Analytic representations of SL _2 over a p -aidc number field

Reference 20

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source=arxiv_source observed=2026-08-04T19:20:44.312675Z digest=sha256:d542a240a86110f9c3797efb955014c34ba746a8650292b6f6a6e39662bb0b93

Observation e4b92737-e8b0-43d0-9b43-437615f8260d · outbound

This paper cites Mazur, J.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Mazur, J

Reference 21

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source=arxiv_source observed=2026-08-04T19:20:44.433422Z digest=sha256:ff54d52fd90c5815ab460f4bea3f945b6693f9fc778bca638915231fe2d4a20d

Observation 66098617-e289-4c7b-a5c3-f5587fd27423 · outbound

This paper cites A Shimura-Shintani correspondence for rigid analytic cocycles of higher weight.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles A Shimura-Shintani correspondence for rigid analytic cocycles of higher weight

Reference 22

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source=arxiv_source observed=2026-08-04T19:20:44.440859Z digest=sha256:4f5e0efccc6a634ae8067551c6f6b4162f5edfa7fa1f8ddef65b52d8d9370ee1

Observation 62140be6-12c7-4249-ad31-370c1ec2c65a · outbound

This paper cites A S himura- S hintani correspondence for rigid analytic cocycles of higher weight.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles A S himura- S hintani correspondence for rigid analytic cocycles of higher weight

Reference 23

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source=arxiv_source observed=2026-08-04T19:20:44.445583Z digest=sha256:cc58b02d93d6427e1f3d573847b6ae45fb814e5a949d226bf9d52aaea413cb1d

Observation 3c7a7ee8-0876-45b6-a3a3-791d3a632906 · outbound

This paper cites An elementary proof of a weak exceptional zero conjecture.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles An elementary proof of a weak exceptional zero conjecture

Reference 24

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source=arxiv_source observed=2026-08-04T19:20:44.450405Z digest=sha256:e1bd307c47f13317f6cef76508ef7a2c359860e07a07bfee766dcc070814243c

Observation 6ffdeb44-443f-4851-9396-1a5a20afac48 · outbound

This paper cites L -invariants and D armon cycles attached to modular forms.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles L -invariants and D armon cycles attached to modular forms

Reference 25

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source=arxiv_source observed=2026-08-04T19:20:44.455040Z digest=sha256:c699e48676269caab81aa164aa3abd50832c271d0958406d194d6f86517e426f

Observation 21774753-c7b5-4653-8dfc-16bdfc5289d9 · outbound

This paper cites p -adic L -functions and the rationality of D armon cycles.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles p -adic L -functions and the rationality of D armon cycles

Reference 26

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source=arxiv_source observed=2026-08-04T19:20:44.459588Z digest=sha256:1aec23edb0d940e654f038dcfc2b4ea9fe0e3327e3a8018b8ce7711636c005a2

Observation 3518c2e3-a5bb-430d-8b02-99cecfbec5aa · outbound

This paper cites C M values of higher G reen's functions and regularized P etersson products.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles C M values of higher G reen's functions and regularized P etersson products

Reference 27

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source=arxiv_source observed=2026-08-04T19:20:44.464628Z digest=sha256:e5b96ffd37c7ecce161eae64649956262f12acb2fa754d4348709dac1b38b97c

Observation ebbb044c-088c-4e44-8c38-0263d14a28e9 · outbound

This paper cites Heights of H eegner cycles and derivatives of L -series.

$p$-adic Higher Green's Functions for Stark-Heegner Cycles Heights of H eegner cycles and derivatives of L -series

Reference 28

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source=arxiv_source observed=2026-08-04T19:20:44.470043Z digest=sha256:68b4fe281672af5a8c14429a27004a520e96c5ae7fc599a695202138c3e83d3b

Pith citing papers

Observation f2b77a78-79e9-4b04-8176-e9ee7ca5bd0f · inbound

The Mean field equation on the Tate curve cites this paper.

The Mean field equation on the Tate curve $p$-adic Higher Green's Functions for Stark-Heegner Cycles

Reference 25

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arxiv_id, observed 2026-05-15T10:29:56.035595Z

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=2026-05-15T10:28:38.739693Z digest=sha256:12a474c43f0273ce975d48b06171aafb8dc8b05d3cedaae7700a3bc77ff37c8f