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Paper Citation Record · LEDGER

On sharpness in Local Converse Theorems for classical groups and $G_2$

As of 19 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2509.22390.

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

pith.paper-citation-record.v1
2509.22390 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:58:34.523345Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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 fuzzy27
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9807b77f-f3b4-475a-95cc-1ded85a61ad6 · outbound

This paper cites On the sharpness of the bound for the local converse theorem of p-adic GL_N, general N.

On sharpness in Local Converse Theorems for classical groups and $G_2$ On the sharpness of the bound for the local converse theorem of p-adic GL_N, general N

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:58:33.664249Z digest=sha256:5153f9801fce9ddd26093cf2ca149874e6720708d2f86a82b3cdaf94839d1077

Observation aed059a4-1cf9-4610-8069-12f06af2037c · outbound

This paper cites Adrian, G.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Adrian, G

Reference 2

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:33.670085Z digest=sha256:4ee33185960bb11a9c49ee8897c0ff332c4157180b2542d75edd3ea0b8c56dfa

Observation c11e5c31-52ec-498a-ac33-68b076fad2b1 · outbound

This paper cites On the sharpness of the bound for the local converse theorem of p -adic GL_ prime.

On sharpness in Local Converse Theorems for classical groups and $G_2$ On the sharpness of the bound for the local converse theorem of p -adic GL_ prime

Reference 3

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raw_fallback, observed 2026-08-15T15:58:36.245935Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:33.675433Z digest=sha256:44571e385795d00ae650f3c624bd96d03c700e891a52a416a00c435dda29d685

Observation c71e5147-b700-475f-9b73-38fb5a1851b3 · outbound

This paper cites The endoscopic classification of representations , volume 61 of American Mathematical Society Colloquium Publications.

On sharpness in Local Converse Theorems for classical groups and $G_2$ The endoscopic classification of representations , volume 61 of American Mathematical Society Colloquium Publications

Reference 4

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source=arxiv_source observed=2026-08-15T15:58:33.680439Z digest=sha256:a863895e272ed147f1f9600d6635aed009bb08372e962bfdc8ae64d5fe3a7583

Observation 0e2cb5df-9427-4f84-a2f6-44a6192695c2 · outbound

This paper cites The Explicit Local Langlands Correspondence for $G_2$.

On sharpness in Local Converse Theorems for classical groups and $G_2$ The Explicit Local Langlands Correspondence for $G_2$

Reference 5

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source=arxiv_source observed=2026-08-15T15:58:33.685216Z digest=sha256:b715c8f39ae8488477e7f6b2a3c7692da5bf07e43bfd680ed1fe54eb4c093f8e

Observation 82784332-0bec-4ec9-9948-21df7e040301 · outbound

This paper cites Bushnell and Albrecht Fr\"ohlich.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Bushnell and Albrecht Fr\"ohlich

Reference 6

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:33.727713Z digest=sha256:0949612b3e22cb35523228ee0868e20be2e3cce4e75057757b0171ea8c13d237

Observation 728040d6-718d-437f-9c7f-d2db55bdb7e6 · outbound

This paper cites Bushnell and Guy Henniart.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Bushnell and Guy Henniart

Reference 7

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source=arxiv_source observed=2026-08-15T15:58:33.816596Z digest=sha256:19bb5f9978216915ccef49429ab164e648670943f719889fb956ffa9793fe325

Observation 825e235c-048c-4eef-80ee-ca73f9865081 · outbound

This paper cites Bushnell and Guy Henniart.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Bushnell and Guy Henniart

Reference 8

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source=arxiv_source observed=2026-08-15T15:58:33.821139Z digest=sha256:6e760e67c032fc5fd4e8ed899ec55f3c34a72de43319832912b9810f3eb2467e

Observation b2f517d1-b074-40da-9c32-0c70a13ab933 · outbound

This paper cites Bushnell and Philip C.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Bushnell and Philip C

Reference 9

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source=arxiv_source observed=2026-08-15T15:58:33.825715Z digest=sha256:01309a32e12949c55b03bbe0687e668aeefdd800f887211a464666b57da9e65f

Observation 24be54fd-a74a-4d74-87f5-518245d4a30f · outbound

This paper cites Chenevier and W.T.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Chenevier and W.T

Reference 10

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source=arxiv_source observed=2026-08-15T15:58:33.831332Z digest=sha256:48d38733ee87c64a2138f79ade86fba16843c3696750d428d19fed4acbb4de34

Observation c312d528-2e6f-46e7-8dec-cac9dc0715bc · outbound

This paper cites Bessel functions and local converse conjecture of J acquet.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Bessel functions and local converse conjecture of J acquet

Reference 11

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source=arxiv_source observed=2026-08-15T15:58:33.836237Z digest=sha256:4d0bf5cada5941c8832bdfbe9257e24a374fd6c7362cb6e2308c57a14791bf94

Observation bee122a0-3220-4a27-9684-433bee45d58f · outbound

This paper cites an unresolved cited work.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Unresolved cited work

Reference 12

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source=arxiv_source observed=2026-08-15T15:58:33.841008Z digest=sha256:74d4d3242e004b6847e244a5ff6cbacbed64eb503db4ab3dbb61da20a72203ad

Observation 49a53de2-561d-4ff8-95ea-904273afcfeb · outbound

This paper cites Representation theory , volume 129 of Graduate Texts in Mathematics.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Representation theory , volume 129 of Graduate Texts in Mathematics

Reference 13

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source=arxiv_source observed=2026-08-15T15:58:33.846189Z digest=sha256:d03c9efda962fc756328227d5898795cfa52b655e88797ee92d1ad399888bc4a

Observation 80187c88-8c35-4fb9-acaf-53913460feac · outbound

This paper cites The G ross- P rasad conjecture and local theta correspondence.

On sharpness in Local Converse Theorems for classical groups and $G_2$ The G ross- P rasad conjecture and local theta correspondence

Reference 14

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source=arxiv_source observed=2026-08-15T15:58:33.851763Z digest=sha256:3d666968f469d26dbc7a0a50e0b51a777cbec264ef886776eb39713285121331

Observation f54a0658-c5d6-4c23-81da-7ba18eba6486 · outbound

This paper cites The local L anglands conjecture for G_2.

On sharpness in Local Converse Theorems for classical groups and $G_2$ The local L anglands conjecture for G_2

Reference 15

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source=arxiv_source observed=2026-08-15T15:58:33.943100Z digest=sha256:cce5650b2690f70442c003e9cd9abe041b349eb8033b54c8d7e01739d209e7a1

Observation 7e8eb340-2b11-4042-8582-109acb8d0823 · outbound

This paper cites A theory of $\gamma$-factors for $G_2 \times GL_r$.

On sharpness in Local Converse Theorems for classical groups and $G_2$ A theory of $\gamma$-factors for $G_2 \times GL_r$

Reference 16

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source=arxiv_source observed=2026-08-15T15:58:33.994275Z digest=sha256:675428012fd664613d3da7f8206b0ab2d1dea69a06ec8c6168d4e26e40cf3d52

Observation a9d36b89-c296-473b-bb51-471d5d10ef46 · outbound

This paper cites Khare, and Jack A.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Khare, and Jack A

Reference 17

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:33.999391Z digest=sha256:78afd62d8d8eba4a068622b61a0c392254d01dd240a6e2c4538397573f33c1c0

Observation 7caa70c2-359b-4e41-b57b-470da9942fed · outbound

This paper cites On the local converse theorem for split SO_ 2l.

On sharpness in Local Converse Theorems for classical groups and $G_2$ On the local converse theorem for split SO_ 2l

Reference 18

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source=arxiv_source observed=2026-08-15T15:58:34.004473Z digest=sha256:e2bdbd3c0a5f0d164b7f7c21d56d70c8d5349d02cc729cf48a73948f78dd32e5

Observation 5c7ed087-4d09-4a5c-9747-daae46ed41a5 · outbound

This paper cites an unresolved cited work.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Unresolved cited work

Reference 19

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source=arxiv_source observed=2026-08-15T15:58:34.008839Z digest=sha256:acf250898cc4702d9049ca613e337f05dcb6338104b094e22726a9469f76ee0d

Observation 66d2186a-88db-44b0-9e16-a03d442202aa · outbound

This paper cites On the local converse theorem for p -adic GL _n.

On sharpness in Local Converse Theorems for classical groups and $G_2$ On the local converse theorem for p -adic GL _n

Reference 20

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source=arxiv_source observed=2026-08-15T15:58:34.013659Z digest=sha256:1b57d8f3d5e323c0ea03cb653e3507ea874188aa5121a1a8510f2cfd9449a04e

Observation 5f6339a3-be37-4491-92aa-0d608c0f8a29 · outbound

This paper cites The generic dual of p-adic groups and applications.

On sharpness in Local Converse Theorems for classical groups and $G_2$ The generic dual of p-adic groups and applications

Reference 21

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local_arxiv, observed 2026-08-15T15:58:34.867562Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:34.017952Z digest=sha256:0ea992b79f94ab38610b4faccb18b44e6c162b9fcb9e901f4b0a84f4092d8731

Observation 6b3dd670-4227-4375-97e7-b02519c0d2c1 · outbound

This paper cites Towards the J acquet conjecture on the local converse problem for p -adic GL _n.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Towards the J acquet conjecture on the local converse problem for p -adic GL _n

Reference 22

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source=arxiv_source observed=2026-08-15T15:58:34.023124Z digest=sha256:21559b4f30a224a8df79f56b92a9bc7b0ebed2df7af49c68dbbb201649ac554d

Observation b8a00a6a-0bc9-4baa-867b-6820a1ac6df2 · outbound

This paper cites The local converse theorem for odd special orthogonal and symplectic groups in positive characteristic.

On sharpness in Local Converse Theorems for classical groups and $G_2$ The local converse theorem for odd special orthogonal and symplectic groups in positive characteristic

Reference 23

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:58:34.050483Z digest=sha256:bf8d78d8dc9dab4b725fdf8b27f0b9f5998edf724c5b9018305ecfeb5bd46ae6

Observation dac720db-f797-43e6-89f7-d24e6442b458 · outbound

This paper cites Jacquet, I.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Jacquet, I

Reference 24

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source=arxiv_source observed=2026-08-15T15:58:34.195972Z digest=sha256:50198e5d89817c7233f69a04b83e8b0b12cff34de58bf01f84b66edfd93c2300

Observation 3a3b4ca3-616d-4190-a27c-0e8dcb48d1ca · outbound

This paper cites The local converse theorem for SO (2n+1) and applications.

On sharpness in Local Converse Theorems for classical groups and $G_2$ The local converse theorem for SO (2n+1) and applications

Reference 25

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:34.228065Z digest=sha256:f530644095795582397b83c2114c0177b2dd65c655fc5c3946a8fc5ef4e9fd34

Observation 9547a888-b436-489c-80b9-4cdb48b0146e · outbound

This paper cites The local L anglands conjecture.

On sharpness in Local Converse Theorems for classical groups and $G_2$ The local L anglands conjecture

Reference 26

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:34.232480Z digest=sha256:82f7b032cb51a00c3818de7209c4784c46962691611fdf19a64dc1392192c1fe

Observation 6835f7a1-545e-4949-96df-42c4cb7075bc · outbound

This paper cites The L anglands conjecture for GL _ 2 of a local field.

On sharpness in Local Converse Theorems for classical groups and $G_2$ The L anglands conjecture for GL _ 2 of a local field

Reference 27

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raw_fallback, observed 2026-08-15T15:58:35.467078Z

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source=arxiv_source observed=2026-08-15T15:58:34.237288Z digest=sha256:9a4e9d83532257cb137909aa95201e692ba32e9b3a1aa49637b580ce5ee7ef0d

Observation 47762d25-9259-41d5-bce1-14aeb6924333 · outbound

This paper cites On the conjugacy of element-conjugate homomorphisms.

On sharpness in Local Converse Theorems for classical groups and $G_2$ On the conjugacy of element-conjugate homomorphisms

Reference 28

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source=arxiv_source observed=2026-08-15T15:58:34.242394Z digest=sha256:d23d288910e4f5db77b9fa1ac8ca9d11e4e1dba4ac494a188e9410c40390126d

Observation d8e1f9ac-1266-467d-a48f-de2074059ee1 · outbound

This paper cites On the Local Converse Theorem for Depth $\frac{1}{N}$ Supercuspidal Representations of $\text{GL}(2N, F)$.

On sharpness in Local Converse Theorems for classical groups and $G_2$ On the Local Converse Theorem for Depth $\frac{1}{N}$ Supercuspidal Representations of $\text{GL}(2N, F)$

Reference 29

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:34.247401Z digest=sha256:ac0ee11dddb63309d061418cd2458136d0b796eb9b323aa10130ea5a3f979f8c

Observation 943fe1d4-7a6d-4a14-a80d-ba20f42260d8 · outbound

This paper cites Matringe.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Matringe

Reference 30

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source=arxiv_source observed=2026-08-15T15:58:34.253440Z digest=sha256:bb56da89e76a15cb7ad01b6c46764f4522c76fedff1fb9b78cef4df07029eda9

Observation d0ff4288-de71-4749-b7b5-1e65ccf3aa22 · outbound

This paper cites The irreducible orthogonal and symplectic G alois representations of a p -adic field (the tame case).

On sharpness in Local Converse Theorems for classical groups and $G_2$ The irreducible orthogonal and symplectic G alois representations of a p -adic field (the tame case)

Reference 31

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raw_fallback, observed 2026-08-15T15:58:35.410842Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:34.257805Z digest=sha256:072bbfb9cb69e633c298480521bcfb89bf476aee6fcfa8c06df3f86c620009b8

Observation 6a16ff39-1040-424f-a442-0c148079248a · outbound

This paper cites Local constants and the tame L anglands correspondence.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Local constants and the tame L anglands correspondence

Reference 32

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source=arxiv_source observed=2026-08-15T15:58:34.263296Z digest=sha256:b7cbf86b52b31272d733bfecdb4aedd029bd01097ad39b4f5c84a251196e6a4a

Observation d303d2bc-acfd-49c2-9312-627c7ff85766 · outbound

This paper cites Pure motives and automorphic forms.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Pure motives and automorphic forms

Reference 33

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source=arxiv_source observed=2026-08-15T15:58:34.393283Z digest=sha256:03d24d79f5eb17883bb95fe90923c4ad9925fe7224d9ddc98dfebf8a1ba2d75a

Observation b9f6d7b1-e457-47ea-9f36-ee95b7a8b2b7 · outbound

This paper cites Fourier transforms of intertwining operators and P lancherel measures for GL (n).

On sharpness in Local Converse Theorems for classical groups and $G_2$ Fourier transforms of intertwining operators and P lancherel measures for GL (n)

Reference 34

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source=arxiv_source observed=2026-08-15T15:58:34.489838Z digest=sha256:3b3cfa22fcca5a06577920215c6f010e323e41d603523a514a8427d456d6db40

Observation c633607b-55dd-4142-be6e-52f3ad21faed · outbound

This paper cites Weissman.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Weissman

Reference 35

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raw_fallback, observed 2026-08-15T15:58:35.250827Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:34.493942Z digest=sha256:0ee41d91fa4cbd9785d2e8326ac2ce86b034522fd03ee401cac9d1cdfc3ad334

Observation 40ce3c71-32c7-4cd2-9359-9b64ab2c3e06 · outbound

This paper cites an unresolved cited work.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:35.234202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:34.499575Z digest=sha256:fe527a6e9fd8ef037a6c1a8b6742f5bad5242c1dc5513203f3b836793354b75a

Observation 6ffe95f8-3fe3-48ca-ac6d-a2a3d90b2090 · outbound

This paper cites On descent and the generic packet conjecture.

On sharpness in Local Converse Theorems for classical groups and $G_2$ On descent and the generic packet conjecture

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:58:35.216224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:34.503768Z digest=sha256:36454237e555648be9dfbf10aee3e412b39087bb5d45277e5f27c0f545935826

Observation 560c196a-0c52-43a3-87f8-6db0545e0a8e · outbound

This paper cites Acceptable compact L ie groups.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Acceptable compact L ie groups

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:58:35.199370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:34.508408Z digest=sha256:87911c26945a0c37bab27356edafe5f6e9ef4012bd07a42fa301658228f78485

Observation 68930471-a875-41c2-a116-be6fde4423fd · outbound

This paper cites Exterior square gamma factors for cuspidal representations of GL _n : simple supercuspidal representations.

On sharpness in Local Converse Theorems for classical groups and $G_2$ Exterior square gamma factors for cuspidal representations of GL _n : simple supercuspidal representations

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:58:35.182739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:34.513166Z digest=sha256:83f3ba8c58f9ab7f37cb4dc704bf4130b53062341ec7f7b4902f7ad9d6a460a1

Observation a5c4a9cc-db85-4f3d-8388-c89ed2e28fab · outbound

This paper cites On a refined local converse theorem for SO(4).

On sharpness in Local Converse Theorems for classical groups and $G_2$ On a refined local converse theorem for SO(4)

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:58:35.046840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:34.518257Z digest=sha256:f336225ecc2fd5ede57bffbbd90c7bedea6a007e6bbb20878df70edf6de7e266

Observation 03612b05-5e0f-46eb-a558-d40f0bdd6b1b · outbound

This paper cites A local converse theorem for Sp _ 2r.

On sharpness in Local Converse Theorems for classical groups and $G_2$ A local converse theorem for Sp _ 2r

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:58:34.943791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:58:34.523345Z digest=sha256:e18f2c75d935a45e4a694041b3a18f3c1747808e23094dad3825af588e339c0a

Pith citing papers

No inbound Pith citation observations are available.