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Paper Citation Record · LEDGER

A finite Linear Dependence of Discrete Series Multiplicities

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.139982Z digest=sha256:7e3221be93aa2540598c1e64d276a313da543827c6eb6d0363cdb858ea964681

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.234200Z digest=sha256:acd451cce7004f171ed2338d867bd08489d862bf127caefde415147cb696640a

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.303543Z digest=sha256:6e05935b84ac118fcdaf8d811dbeb9b653da2fcb3ff867a82ff50b742d1b5d6e

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.367047Z digest=sha256:b3650c5993c3ab77975381f293a13409f9ad1fd78a62d7c9c4b1cbdb5d1e0cce

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.420876Z digest=sha256:73783933009a9bd4b7fb36b11c78c5dcf688e2f1f8b5caad987dc008ce90efcf

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.512052Z digest=sha256:004e98af8dd615c4332429ec075398340bf4ec7c665fffc8aefea0cf83b93ea1

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.571754Z digest=sha256:fc8d78bc0c4cc8143259764714b7365a1912ad1244e64e9efcbeb7b7d8ff0fc0

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.656013Z digest=sha256:e6abed8be4b7d5054ace41b199119884c8427d7469b334742ee675bf286212c7

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.718539Z digest=sha256:79021b8f8e29e25111512d33cea713f382947004cf1915d97df26cb52beb14e2

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.802632Z digest=sha256:3a2690caf4b511137d1e4ff696087c0acf8bf301201f009558b4eacc0f155bf7

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.841025Z digest=sha256:80dc1f3237d323720ec6b0d5585c5ddbf7148761bc45b9f68711b215b4a77741

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.932894Z digest=sha256:0bfa9994d431d802844abd2810d80d958a05c344c8bc2d79c1916bb9dbbe9ea5

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.985089Z digest=sha256:a24b63f400a85718b4bdc543b17c073a1ed0c5afda317f9a627d4621cf1cd840

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:56.048665Z digest=sha256:52f8444fec0db5df15b8a3304fe72f86a88d7666952ff0844c3e689e4d15b244

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:56.114495Z digest=sha256:9fcdd6708a128170659666f206d6cf4ff785ad1ad09c1700ad4a27469d9bf62b

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T12:19:56.193565Z digest=sha256:d622056e89137e7fd2ea7cdd552f748bd5307aaefab7f66aef50aeda53a58068

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 2026-08-09T06:31:02.800959+00:00.

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Pith citing papers

No inbound Pith citation observations are available.