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Paper Citation Record · LEDGER

A finite Linear Dependence of Discrete Series Multiplicities

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2506.00542.

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

pith.paper-citation-record.v1
2506.00542 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:19:56.230954Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

17 of 17 outbound references displayed

  • verified exact2
  • verified fuzzy11
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 13d381ea-6e7c-48d6-9970-5fe0b1613056 · outbound

This paper cites On infinitesimal -isospectrality of locally symmetric spaces.

A finite Linear Dependence of Discrete Series Multiplicities On infinitesimal -isospectrality of locally symmetric spaces

Reference 1

Resolution
verified exact
doi, observed 2026-08-07T12:19:56.575486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.139982Z digest=sha256:7c486a23804ccb187ebbc2f62fc283cecf97a06bc2e705ae828cf33d6b15e3d6

Observation 70f86f35-67d1-44d7-8f24-9a3d81ebcda6 · outbound

This paper cites an unresolved cited work.

A finite Linear Dependence of Discrete Series Multiplicities Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:19:59.701003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.234200Z digest=sha256:21c981ac890e5ecfad2a832ebdae4c8b3faac0947ccbeddee7cffe6831e48a7c

Observation 0226451f-190d-40bd-8def-1ef9471bfc21 · outbound

This paper cites Automorphic Forms on Adele Groups.

A finite Linear Dependence of Discrete Series Multiplicities Automorphic Forms on Adele Groups

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:19:59.512060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.303543Z digest=sha256:6643519d4f878ab2cba0cf6b62e361bc94d1a07c9bacfda28b5f4f24998e22cd

Observation 854daf18-7bee-402b-ba89-c270c93e1356 · outbound

This paper cites 116 (1966), 1-111.

A finite Linear Dependence of Discrete Series Multiplicities 116 (1966), 1-111

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:19:59.291642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.367047Z digest=sha256:df5236fbf60124022f585e784c20d336acec74bc431d68d7605ab61f101a8290

Observation 430462ee-bc2d-4675-b392-e1f30607d418 · outbound

This paper cites Hotta, R.

A finite Linear Dependence of Discrete Series Multiplicities Hotta, R

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:19:59.077386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.420876Z digest=sha256:549ee206dcecf62c83905ea9eb7e6dbc2a4c37ca0bf7683c6729c51b93bd035d

Observation 66df8073-6c64-4746-8f67-b466e0e42fbb · outbound

This paper cites , Representation Theory of Semisimple Groups: An Overview Based on Examples, Princeton University Press, (2001).

A finite Linear Dependence of Discrete Series Multiplicities , Representation Theory of Semisimple Groups: An Overview Based on Examples, Princeton University Press, (2001)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:19:58.853126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.512052Z digest=sha256:8e7812b66e2d7b31309ed2a7a473ba391d1c3c699e3d22d240e367393b0931bc

Observation c031ff58-955b-4efa-9516-02b1a7341d47 · outbound

This paper cites Kelmer, A refinement of strong multiplicity one for spectra of hyperbolic manifolds, Trans.

A finite Linear Dependence of Discrete Series Multiplicities Kelmer, A refinement of strong multiplicity one for spectra of hyperbolic manifolds, Trans

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:19:58.633901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.571754Z digest=sha256:88898f8f2b2cf35f6af9bb76ec9ec9f058720116e1d0615df416100e231ee182

Observation 9b10ef9f-4833-4cc6-9eed-c57a9b30956f · outbound

This paper cites an unresolved cited work.

A finite Linear Dependence of Discrete Series Multiplicities Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:19:58.424331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.656013Z digest=sha256:9f54663b6667fcf3303a0486c5e5c6399b85bf258ab685fc29a7928fd703ffed

Observation af991c0c-9409-44f4-91db-a8239a667d24 · outbound

This paper cites an unresolved cited work.

A finite Linear Dependence of Discrete Series Multiplicities Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:19:58.230613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.718539Z digest=sha256:eaf3fdb7e48ca381ce7f8771f1856929ca455660b5e26ff5658120ac25adf69a

Observation 2ae46b23-a914-4fc1-944a-42b3a378fa19 · outbound

This paper cites Osborne, G.

A finite Linear Dependence of Discrete Series Multiplicities Osborne, G

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:19:58.045777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.802632Z digest=sha256:07aabdbb070c487168ad68e21327de3f8b904bb767d7fec7210d96605e561275

Observation e4fdc33b-0324-4731-abc9-3ce614d1d800 · outbound

This paper cites Parthasarathy, Dirac operator and the discrete series, Annals of Math.

A finite Linear Dependence of Discrete Series Multiplicities Parthasarathy, Dirac operator and the discrete series, Annals of Math

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:19:57.826866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.841025Z digest=sha256:9d5476b9b28ac2486ad4e500d0a4c7bc483239d9b9fc656330cedd2843cb610a

Observation 07f3629c-b854-4302-91ba-787b6c4023e8 · outbound

This paper cites Schmid, On a conjecture of Langlands, Annals of Math.

A finite Linear Dependence of Discrete Series Multiplicities Schmid, On a conjecture of Langlands, Annals of Math

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:19:57.622428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.932894Z digest=sha256:a1d4b0e602ae7da43c9d902c522a25484062c0ef5e775e53df61a59f8e025fd9

Observation cbd20cbb-217e-4d3f-b3cf-6b16f1bf76be · outbound

This paper cites C., Varadarajan, V.

A finite Linear Dependence of Discrete Series Multiplicities C., Varadarajan, V

Reference 13

Resolution
verified exact
doi, observed 2026-08-07T12:19:56.390356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.985089Z digest=sha256:4a3062b99ab57a623c88aa6a95e33b98fb85cf9c936b07cd7124cdf150a14754

Observation 292a614d-78ef-4459-a0d0-eda02ba08a75 · outbound

This paper cites Indian Math.

A finite Linear Dependence of Discrete Series Multiplicities Indian Math

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:19:57.335180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:56.048665Z digest=sha256:366c76b3d3acc1ee55aecc5d900e72e0c33c9d24827e549e0d75162222de0264

Observation c86de0ff-9b2a-4288-b5b3-61a850b546a0 · outbound

This paper cites Discrete Series Multiplicities in L^2( G).

A finite Linear Dependence of Discrete Series Multiplicities Discrete Series Multiplicities in L^2( G)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:19:57.154760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:56.114495Z digest=sha256:c8d1ae44ebf05ea383c65a6c29dfea3dc34b1f4f321d9302b43f3a5a28b51166

Observation 92402c91-c963-4a99-8a52-1cd71e4db2c1 · outbound

This paper cites an unresolved cited work.

A finite Linear Dependence of Discrete Series Multiplicities Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:19:56.963341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:56.193565Z digest=sha256:815ac7b889e4d394ad3fc8361f58616f63f6918a9e6ad905d9c06b7800dc18b0

Observation b3ea5c32-2f78-4e64-8dc6-f924d32f8479 · outbound

This paper cites Pitman Res.

A finite Linear Dependence of Discrete Series Multiplicities Pitman Res

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:19:56.784566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:19:56.230954Z digest=sha256:34ac68bb0c6fad2de9ba3fd92c17c1753d81354c733c4165aba7f78c9ba39224

Pith citing papers

No inbound Pith citation observations are available.