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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 2026-08-08T06:32:00.761636+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

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.139982Z digest=sha256:113a79998a53cd10d07c975bb73c52d13f69ca78d1e08d6dd6dc5c476b4a1d87

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.234200Z digest=sha256:34e9f36836420b28e66201bbce6e2beafe9d8126e36afa76286009191dea14e5

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.303543Z digest=sha256:835b694f96aec2502cf92b29ea8d294af54b41427bdf011fa5682c888b3bf1ab

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.367047Z digest=sha256:cb5e9bdcadebfd7db6794b3e04fce5314df67a2303cd6bde3bfbc0b3724a8d12

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.420876Z digest=sha256:6d91f7fc3f5ff152250f65891d870bbd9af2d0f01f5a2b04a22148310efaa1a3

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.512052Z digest=sha256:2908d5798a893822d6f6cd217096e004abe6b33ba0e78f1872c51fb4362f7e9b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.571754Z digest=sha256:efd8160db5c365256d0cd95c8eb98caf20303a87432de069a64e437571ac47cb

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.656013Z digest=sha256:ebebd6f5cbf6ada75b5c8f0fbac3c27eb28b44e6088237edcf78dcd32a7a041c

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.718539Z digest=sha256:c2b1750520c226fb652ae4104f28bc3415dedaadad05c2e0a7c0f7e3e0e39c14

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.802632Z digest=sha256:943baf3088cde309ef056d864d7fa574e8fdfa83260f076c5cbe1218389324b4

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.841025Z digest=sha256:8d6d19f3c515bccbd08ba92c6bc2c35e0c0ca2528d11b6670782f373372cd188

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.932894Z digest=sha256:ee1697251da42cfa9e4795d266c4191d074623170d328149c81c26ab92003ea5

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:55.985089Z digest=sha256:9e569cf4753fd08f329ee6ebf5dba0933813b70d08ed6e8c2fbb33bee8894444

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:56.048665Z digest=sha256:cab42ca9fe2327c21a96373a54d488de34a1ba4001be27898ccbf2227ed1ac28

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:56.114495Z digest=sha256:3ffb907a5eaf386d05a02a4d7a67e436c3f85d35d0a190fb1578aca57d877d44

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:56.193565Z digest=sha256:74a33a911c23a3a0b80b57ff6243b711a263364bbea83e9b16eb996c3bad74eb

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:19:56.230954Z digest=sha256:9efbc3835c4af6c0ccdca4b6d24238c5807552581ca903a96ef820440280184a

Pith citing papers

No inbound Pith citation observations are available.