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Paper Citation Record · LEDGER

A Proof of the Biquadratic Linear AFL for GL(4)

As of 8 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2505.22625.

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

pith.paper-citation-record.v1
2505.22625 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:17:59.257281Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

22 of 22 outbound references displayed

  • verified exact9
  • verified fuzzy11
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ea95b243-ee58-453b-8511-7694956a8ed3 · outbound

This paper cites Heegner points and derivatives of L-series.

A Proof of the Biquadratic Linear AFL for GL(4) Heegner points and derivatives of L-series

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:18:03.524010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:57.079074Z digest=sha256:6dae35a2c55b6131851204b5b7ef5dcb3e86d69cbe345a9b93fecc3bc704a08d

Observation f5bfea39-c5f6-40ea-8119-09ca61bee080 · outbound

This paper cites Gross; D.

A Proof of the Biquadratic Linear AFL for GL(4) Gross; D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:18:03.326824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:57.124808Z digest=sha256:b86a37a88e7aa18d3a61734dbef314b39fbc8ef37e4d79e50c0cec1b34d226f6

Observation 3a4388d2-c68a-4475-a93d-2a8d55665aa8 · outbound

This paper cites an unresolved cited work.

A Proof of the Biquadratic Linear AFL for GL(4) Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:18:03.174612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:57.212742Z digest=sha256:22703884ffee6a780309da16b90d814c17c7e922ec77e2354855cadbc62905dd

Observation fcb513c6-dd54-41b8-a7ca-34233299d13e · outbound

This paper cites Howard and Q.

A Proof of the Biquadratic Linear AFL for GL(4) Howard and Q

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:18:02.965949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:57.317749Z digest=sha256:1df6a1720570e8e4039b4323d832b9f665dd89443f2dc5c262f834a99fbbdd58

Observation 98ee2ed6-8eb6-4cad-bed7-2c73046c2e37 · outbound

This paper cites Advances in Mathemat.

A Proof of the Biquadratic Linear AFL for GL(4) Advances in Mathemat

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:18:02.811135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:57.399399Z digest=sha256:50b024dd14209e072721aaee78cadd36fe6656268631e5f262f8ccac2b16f0e0

Observation 8bae267a-23f5-4f72-a0a2-4fcf8551b530 · outbound

This paper cites Hultberg and A.

A Proof of the Biquadratic Linear AFL for GL(4) Hultberg and A

Reference 6

Resolution
verified exact
doi, observed 2026-08-07T13:18:00.381870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:57.449213Z digest=sha256:dd266b79314a178ca781da678206b229ab687b39e174edc956a417a045ac65c7

Observation cbb11b3f-275e-4c39-927e-7b91e61b7c89 · outbound

This paper cites Li, An intersection formula for CM cycles on Lubin–Tate spaces.Duke Mathematical Journal 1.1 (2022): 1-89.

A Proof of the Biquadratic Linear AFL for GL(4) Li, An intersection formula for CM cycles on Lubin–Tate spaces.Duke Mathematical Journal 1.1 (2022): 1-89

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:18:02.643155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:57.547973Z digest=sha256:6facbd8fe7e73d20ee407150da2b165ff24ef45ccad15da700525bc66a339548

Observation 9d40b7c4-4a0c-468e-b6ce-5cab24a28316 · outbound

This paper cites Li,A Computational Proof of the Linear Arithmetic Fundamental Lemma of GL4, Canadian Journal of Mathematics 74.2 (2022): 381-427.

A Proof of the Biquadratic Linear AFL for GL(4) Li,A Computational Proof of the Linear Arithmetic Fundamental Lemma of GL4, Canadian Journal of Mathematics 74.2 (2022): 381-427

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:18:02.492976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:57.657749Z digest=sha256:6f4585e5ad203c6f973df6f47705fd6126e2752b15a1831c083969d1a8505c87

Observation 8bd3025d-49dc-4750-b7b6-108170ceaae4 · outbound

This paper cites On Gross-Keating's result of lifting endomorphisms for formal modules.

A Proof of the Biquadratic Linear AFL for GL(4) On Gross-Keating's result of lifting endomorphisms for formal modules

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:18:01.172243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:57.773306Z digest=sha256:db4ea45d1353974eae3f05d0ef199ac2afde1c4a9265cb12f5e991540a5c0354

Observation 4fd3b644-4da8-41dd-a25e-ba580c0e7f13 · outbound

This paper cites On the Linear AFL: The Non-Basic Case.

A Proof of the Biquadratic Linear AFL for GL(4) On the Linear AFL: The Non-Basic Case

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:18:00.934531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:57.878015Z digest=sha256:2ad0c24229c7fa984f027da444662899066c91e7965b70db7a61c8237d5ff9bb

Observation f7969f66-6ee7-4630-9019-31890b5c756f · outbound

This paper cites Arithmetic transfer for inner forms of $GL_{2n}$.

A Proof of the Biquadratic Linear AFL for GL(4) Arithmetic transfer for inner forms of $GL_{2n}$

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:18:00.754475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:57.991928Z digest=sha256:a892610e070fb6b71c1e14023a408fd2ea8a7f9118d96653b7159cc80ad975f9

Observation 1becdfc8-dac3-4b29-a06e-3dad2c646fbd · outbound

This paper cites an unresolved cited work.

A Proof of the Biquadratic Linear AFL for GL(4) Unresolved cited work

Reference 12

Resolution
verified exact
doi, observed 2026-08-07T13:18:00.210910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:58.104453Z digest=sha256:f1bde9493fa8a26411107f7bcd16954a7b04e3a60fb09e2349357b0f708465e8

Observation 3423f024-5ff4-40e3-8e64-4d0a277d2fc7 · outbound

This paper cites Mihatsch and W.

A Proof of the Biquadratic Linear AFL for GL(4) Mihatsch and W

Reference 13

Resolution
verified exact
doi, observed 2026-08-07T13:17:59.910853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:58.185492Z digest=sha256:dda43980c5ed20153932e97b970f0f864d42f57ee3478b0bf7c08e8eff4b3c7e

Observation b03b4c8e-f314-457d-b71c-ba40a14426f7 · outbound

This paper cites Rapoport, B.

A Proof of the Biquadratic Linear AFL for GL(4) Rapoport, B

Reference 14

Resolution
verified exact
doi, observed 2026-08-07T13:17:59.761616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:58.379071Z digest=sha256:236d1210d26f4a7b0f222b2d034db91584ee72a28c2efc332ca5381120cd4e66

Observation ab6ad01b-b598-4f7e-b507-a323e1ba9899 · outbound

This paper cites Rapoport, B.

A Proof of the Biquadratic Linear AFL for GL(4) Rapoport, B

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:18:02.290124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:58.491607Z digest=sha256:a9ee99c70d83897ae648c5835834120c8638d2474ff3c2d81287849500290541

Observation 5161a184-6243-491b-b1fd-116a89777ad3 · outbound

This paper cites Waldspurger:Sur les valeurs de certaines fonctions L automorphes en leur centre de symétrie.Com- positio Math.

A Proof of the Biquadratic Linear AFL for GL(4) Waldspurger:Sur les valeurs de certaines fonctions L automorphes en leur centre de symétrie.Com- positio Math

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:18:02.083610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:58.594847Z digest=sha256:cfdd0cb59c3a9ef8b4c108e2088672c2a1a745088e548ccd74ccb5e34cc3cab3

Observation 0081b734-c61d-4d25-9c39-22b6765b4eaa · outbound

This paper cites Zhang.On arithmetic fundamental lemmas, Invent.

A Proof of the Biquadratic Linear AFL for GL(4) Zhang.On arithmetic fundamental lemmas, Invent

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:18:01.876200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:58.719077Z digest=sha256:2373a91d6102f5e324dde59575b3f5496e430623cfeb407512cc8435c6025a7f

Observation 5c2bbdbc-2323-4d96-9160-821e01f1cc67 · outbound

This paper cites an unresolved cited work.

A Proof of the Biquadratic Linear AFL for GL(4) Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:18:01.703152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:58.845924Z digest=sha256:c8e91a131c403c2ff2eef04ab54090b00cf86002bb4e407a55a4352bf30d88ee

Observation b1c8ff85-eb27-4b36-91d6-a880220432fd · outbound

This paper cites More Arithmetic Fundamental Lemma conjectures: the case of Bessel subgroups.

A Proof of the Biquadratic Linear AFL for GL(4) More Arithmetic Fundamental Lemma conjectures: the case of Bessel subgroups

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:18:00.530954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:58.921658Z digest=sha256:3074f9c68062fdd51c4f05ddcfe2873d983f3b0f0ec72190e9f2ff77eaad42a4

Observation 1def0e7e-6564-4179-8f06-1d0490036afe · outbound

This paper cites Zhang,Weil Representation and the Arithmetic Fundamental Lemma, Ann.

A Proof of the Biquadratic Linear AFL for GL(4) Zhang,Weil Representation and the Arithmetic Fundamental Lemma, Ann

Reference 20

Resolution
verified exact
doi, observed 2026-08-07T13:17:59.495669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:59.019243Z digest=sha256:cf578cb6d6d4787dcc4395108e460182b65e4944256b46198423c372782123bc

Observation c5786fa9-de05-42de-b3e8-4e52c8e5e971 · outbound

This paper cites Zhang, Arithmetic Transfers, Modularity of Arithmetic Theta Series and Geometry of Local-Global Shimura Varieties at Parahoric Levels, Ph.D.

A Proof of the Biquadratic Linear AFL for GL(4) Zhang, Arithmetic Transfers, Modularity of Arithmetic Theta Series and Geometry of Local-Global Shimura Varieties at Parahoric Levels, Ph.D

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:18:01.556838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:59.145802Z digest=sha256:b539732302b8a4ebc03255e4fcb26af7b7d230c63e72cc0f665526098957b039

Observation 36bb1d54-1372-4139-a96b-31d7c238d6ba · outbound

This paper cites Zhang,Maximal Parahoric Arithmetic Transfers, Resolutions and Modularity, Duke Math.

A Proof of the Biquadratic Linear AFL for GL(4) Zhang,Maximal Parahoric Arithmetic Transfers, Resolutions and Modularity, Duke Math

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:18:01.381696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:59.257281Z digest=sha256:51bc39bc3d83bb41366bb77b5193cd61cb7e1b1325a2ceb261d498989ceb2f9d

Pith citing papers

No inbound Pith citation observations are available.