Paper Citation Record · LEDGER

Weil representation and Arithmetic Fundamental Lemma

As of 14 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 2 inbound Pith citation observations for arXiv:1909.02697.

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

pith.paper-citation-record.v1
1909.02697 v3

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:52:39.714236Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T16:16:17.326226Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T21:56:15.512389Z

Reference resolution

48 of 48 outbound references displayed

verified exact3
verified fuzzy33
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 432885b8-2ae4-46c1-b402-d41010157f75 · outbound

This paper cites Comparison of local spherical characters and the Ichino-Ikeda conjecture for unitary groups.

Weil representation and Arithmetic Fundamental Lemma Comparison of local spherical characters and the Ichino-Ikeda conjecture for unitary groups

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T04:52:39.463732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a437134-ff4e-41f2-ba91-613c4d34fe1a · outbound

This paper cites A new proof of Jacquet-Rallis's fundamental lemma.

Weil representation and Arithmetic Fundamental Lemma A new proof of Jacquet-Rallis's fundamental lemma

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T04:52:39.470427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 709803fe-a42e-40c7-b2d0-7b0f80dbfde8 · outbound

This paper cites an unresolved cited work.

Weil representation and Arithmetic Fundamental Lemma Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:52:40.737480Z

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Observation 8a364bb2-f4c6-48c9-8292-e6792d77fbbc · outbound

This paper cites Burgos, J.

Weil representation and Arithmetic Fundamental Lemma Burgos, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.717292Z

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Observation 411ff28b-1e97-479c-a506-26f72a427f48 · outbound

This paper cites Bruinier, Regularized theta lifts for orthogonal groups over totally real ﬁelds , J.

Weil representation and Arithmetic Fundamental Lemma Bruinier, Regularized theta lifts for orthogonal groups over totally real ﬁelds , J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.683200Z

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Observation 7e5659ab-a48d-4fc4-95e3-9defa07d5414 · outbound

This paper cites Modularity of generating series of divisors on unitary Shimura varieties.

Weil representation and Arithmetic Fundamental Lemma Modularity of generating series of divisors on unitary Shimura varieties

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:52:39.846984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bdf7924e-7025-4da7-abb0-5643e16dc977 · outbound

This paper cites an unresolved cited work.

Weil representation and Arithmetic Fundamental Lemma Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:52:40.661990Z

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Observation 16500e1a-2f1f-4242-937b-508d2a9849f2 · outbound

This paper cites Ehlen, S.

Weil representation and Arithmetic Fundamental Lemma Ehlen, S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.642229Z

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Observation fb54155d-849b-47bb-98a2-0a7e9c9595ed · outbound

This paper cites an unresolved cited work.

Weil representation and Arithmetic Fundamental Lemma Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:52:40.615773Z

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Observation 743dd4ea-c0b1-42d7-86bb-fadaf3f3f952 · outbound

This paper cites Gillet, Arithmetic intersection theory on Deligne–Mumford stacks.

Weil representation and Arithmetic Fundamental Lemma Gillet, Arithmetic intersection theory on Deligne–Mumford stacks

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.583916Z

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Observation b5d3e002-43e4-4fea-a461-64cf5efdaa97 · outbound

This paper cites Gillet and C.

Weil representation and Arithmetic Fundamental Lemma Gillet and C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.561827Z

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Observation 2bdc9b97-1908-42ce-bba8-2fbdc9990390 · outbound

This paper cites Hautes Etudes Sci.

Weil representation and Arithmetic Fundamental Lemma Hautes Etudes Sci

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.527026Z

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Observation 80b94014-b18e-4635-968a-aa169929dbab · outbound

This paper cites Gordon, Transfer to characteristic zero , appendix to [46].

Weil representation and Arithmetic Fundamental Lemma Gordon, Transfer to characteristic zero , appendix to [46]

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.491899Z

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Observation 777f0ab1-0766-46a5-8814-e8f1a33451e6 · outbound

This paper cites Gross and D.

Weil representation and Arithmetic Fundamental Lemma Gross and D

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T04:52:39.537689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a9877ca-2b7e-4475-8d64-53a06edffdcc · outbound

This paper cites Grothendieck, ´El´ ements de g´ eom´ etrie alg´ ebrique.

Weil representation and Arithmetic Fundamental Lemma Grothendieck, ´El´ ements de g´ eom´ etrie alg´ ebrique

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.426540Z

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Observation abd1c9d5-8b66-41a1-bed4-4c21aa8a454b · outbound

This paper cites an unresolved cited work.

Weil representation and Arithmetic Fundamental Lemma Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:52:40.403660Z

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Observation 873b1296-7466-4b4e-afe0-f0ec63451ca5 · outbound

This paper cites Sigma, 7 (2019), e47.

Weil representation and Arithmetic Fundamental Lemma Sigma, 7 (2019), e47

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.383132Z

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Observation 3a9dced7-b77e-48a7-abda-ebfed490f9fc · outbound

This paper cites Howard, Complex multiplication cycles and Kudla–Rapoport divisor s, Ann.

Weil representation and Arithmetic Fundamental Lemma Howard, Complex multiplication cycles and Kudla–Rapoport divisor s, Ann

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.362834Z

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Observation 82aaf0e7-cdbe-4539-b1ed-bd31dc4ac6a8 · outbound

This paper cites Jacquet, R.

Weil representation and Arithmetic Fundamental Lemma Jacquet, R

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.345730Z

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Observation 933979f6-42e9-4028-a4a2-ee34fc3f049b · outbound

This paper cites Jacquet, S.

Weil representation and Arithmetic Fundamental Lemma Jacquet, S

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.329235Z

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Observation e732e490-9d34-49e5-ade8-e2b3ae6ef0e9 · outbound

This paper cites Jacquet, Sur un r´ esultat de Waldspurger.

Weil representation and Arithmetic Fundamental Lemma Jacquet, Sur un r´ esultat de Waldspurger

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.309358Z

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Observation 755bebd0-1232-4969-a095-3582845a38f3 · outbound

This paper cites Kudla, Algebraic cycles on Shimura varieties of orthogonal type , Duke Math.

Weil representation and Arithmetic Fundamental Lemma Kudla, Algebraic cycles on Shimura varieties of orthogonal type , Duke Math

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.288270Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 55c5dfa5-9461-4d2d-91cf-5d348a49bb65 · outbound

This paper cites an unresolved cited work.

Weil representation and Arithmetic Fundamental Lemma Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:52:40.270943Z

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Observation 2effc9b2-54f5-4aa8-889c-bd02a20287e8 · outbound

This paper cites Kudla and M.

Weil representation and Arithmetic Fundamental Lemma Kudla and M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.252881Z

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Observation 8bbe694b-608f-41e9-9c59-c0458c2f8186 · outbound

This paper cites Reine Angew.

Weil representation and Arithmetic Fundamental Lemma Reine Angew

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.231201Z

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Observation 65481674-75fd-49fa-abeb-8f26bea045dd · outbound

This paper cites Kudla--Rapoport cycles and derivatives of local densities.

Weil representation and Arithmetic Fundamental Lemma Kudla--Rapoport cycles and derivatives of local densities

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:52:39.824807Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 74bdd0fb-25e6-4c05-b6e7-4812f6c3e59c · outbound

This paper cites Algebra Number Theory, 11 (2017), No.

Weil representation and Arithmetic Fundamental Lemma Algebra Number Theory, 11 (2017), No

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.197086Z

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Observation e3276a40-28f7-458a-aed4-e78f620443e4 · outbound

This paper cites Algebra Number Theory 5 (2011), no.

Weil representation and Arithmetic Fundamental Lemma Algebra Number Theory 5 (2011), no

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.173060Z

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Observation 3e7129dd-3eeb-4bd7-b848-2661b732ba62 · outbound

This paper cites 2, 8, 11.

Weil representation and Arithmetic Fundamental Lemma 2, 8, 11

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.158150Z

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Observation 8492a8b2-7092-4298-bcf2-484c4de815af · outbound

This paper cites 2, 3, 13, 14, 28, 31, 33.

Weil representation and Arithmetic Fundamental Lemma 2, 3, 13, 14, 28, 31, 33

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.142582Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4c6f41a9-999e-495c-8aa1-302d9bf13ef2 · outbound

This paper cites Lusztig, Coxeter orbits and eigenspaces of Frobenius.

Weil representation and Arithmetic Fundamental Lemma Lusztig, Coxeter orbits and eigenspaces of Frobenius

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.126871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fcd3c34c-ff88-489b-a402-794d0c83a55b · outbound

This paper cites Mihatsch, On the arithmetic fundamental lemma conjecture through Lie algebras, Math.

Weil representation and Arithmetic Fundamental Lemma Mihatsch, On the arithmetic fundamental lemma conjecture through Lie algebras, Math

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.111643Z

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Observation 4a31fb51-6dcc-4064-bd8e-a1265d097351 · outbound

This paper cites 3, 4, 13, 14, 32.

Weil representation and Arithmetic Fundamental Lemma 3, 4, 13, 14, 32

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.092505Z

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Observation 35a388e9-7e6d-4e72-876b-1c36964482a8 · outbound

This paper cites Local Constancy of Intersection Numbers.

Weil representation and Arithmetic Fundamental Lemma Local Constancy of Intersection Numbers

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:52:39.802999Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bec87214-710e-4b2e-a2c5-f3710b859ed8 · outbound

This paper cites Ngˆo, Le lemme fondamental pour les algebres de Lie , Publ.

Weil representation and Arithmetic Fundamental Lemma Ngˆo, Le lemme fondamental pour les algebres de Lie , Publ

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.076393Z

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Observation 92d41ed0-0de4-48f0-98f9-da7849a4bbcf · outbound

This paper cites Oberhettinger, On the derivative of Bessel functions with respect to the ord er.

Weil representation and Arithmetic Fundamental Lemma Oberhettinger, On the derivative of Bessel functions with respect to the ord er

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.060269Z

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Observation 484c58c5-cad3-4347-8a61-700852120a14 · outbound

This paper cites Oda and M.

Weil representation and Arithmetic Fundamental Lemma Oda and M

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.043277Z

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Observation 86e03cbb-0c43-4d6b-97e7-a52cceba43ad · outbound

This paper cites Rapoport, B.

Weil representation and Arithmetic Fundamental Lemma Rapoport, B

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:40.026614Z

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Observation 0847ad1a-4b35-4c20-8834-cf8ae503ffbb · outbound

This paper cites an unresolved cited work.

Weil representation and Arithmetic Fundamental Lemma Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:52:40.011140Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4b8eb1ac-fa37-413e-87fc-eac135fe1774 · outbound

This paper cites Arithmetic diagonal cycles on unitary Shimura varieties.

Weil representation and Arithmetic Fundamental Lemma Arithmetic diagonal cycles on unitary Shimura varieties

Reference 40

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T04:52:39.781495Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 36bd36a3-917f-4c80-9970-10e3e49d1e9e · outbound

This paper cites On Shimura varieties for unitary groups.

Weil representation and Arithmetic Fundamental Lemma On Shimura varieties for unitary groups

Reference 41

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T04:52:39.759132Z

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Observation 8f965a00-41f1-450e-b20e-fb0f224520c6 · outbound

This paper cites Rapoport, U.

Weil representation and Arithmetic Fundamental Lemma Rapoport, U

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:39.994741Z

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Observation 70095347-5f6b-46e3-aa0c-6ac72b5d811d · outbound

This paper cites Vollaard and T.

Weil representation and Arithmetic Fundamental Lemma Vollaard and T

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:39.977862Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 84acdd0a-ed68-417b-8756-b10930df7645 · outbound

This paper cites Xue, On the global Gan–Gross–Prasad conjecture for unitary grou ps: approximating smooth transfer of Jacquet–Rallis, J.

Weil representation and Arithmetic Fundamental Lemma Xue, On the global Gan–Gross–Prasad conjecture for unitary grou ps: approximating smooth transfer of Jacquet–Rallis, J

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:39.960600Z

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Observation bdd1452a-0ea9-45a4-832f-57094cb70d00 · outbound

This paper cites Yuan, S.-W.

Weil representation and Arithmetic Fundamental Lemma Yuan, S.-W

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:39.945142Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 77d4aec6-2a50-40b5-a1a0-9395d94cc711 · outbound

This paper cites Yun, The fundamental lemma of Jacquet–Rallis in positive charac teristics, Duke Math.

Weil representation and Arithmetic Fundamental Lemma Yun, The fundamental lemma of Jacquet–Rallis in positive charac teristics, Duke Math

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:39.929513Z

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Observation e34394d8-235f-4676-82b1-be9b30c9155b · outbound

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

Weil representation and Arithmetic Fundamental Lemma Zhang, On arithmetic fundamental lemmas , Invent

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:52:39.913692Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4c7f5c77-a830-403f-b5bb-5ccead59d76e · outbound

This paper cites an unresolved cited work.

Weil representation and Arithmetic Fundamental Lemma Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:52:39.897617Z

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Pith citing papers

Observation 99b1ad13-adb0-4f55-b638-48449bb1ab2f · inbound

Weyl algebras on Braverman-Kazhdan spaces cites this paper.

Weyl algebras on Braverman-Kazhdan spaces Weil representation and Arithmetic Fundamental Lemma

Reference 97

Resolution: verified exact; arxiv_id, observed 2026-07-01T21:46:16.427699Z

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Observation 7256c26f-9892-4371-9f64-2c06808fb461 · inbound

Geometrization of summation formulae for quadrics cites this paper.

Geometrization of summation formulae for quadrics Weil representation and Arithmetic Fundamental Lemma

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-07-01T21:56:15.513893Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.