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Paper Citation Record · LEDGER

Orbital angular momentum can take non-integer values in a closed universe

As of 20 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2506.03254.

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

pith.paper-citation-record.v1
2506.03254 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:26:23.288593Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

18 of 18 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ca901305-cb97-4ed9-b331-50095dab7f07 · outbound

This paper cites Heisenberg, ¨Uber quantentheoretische Umdeu- tung kinematischer und mechanischer Beziehungen., Zeitschrift f¨ ur Physik33, 879 (1925).

Orbital angular momentum can take non-integer values in a closed universe Heisenberg, ¨Uber quantentheoretische Umdeu- tung kinematischer und mechanischer Beziehungen., Zeitschrift f¨ ur Physik33, 879 (1925)

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:26.444199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:22.643602Z digest=sha256:968851ea8aa2f96e1de9cc825c53350c34ef6c2547855bfc91b09fd9c04b701a

Observation ff13a6dc-594f-498d-a4d1-b9d859c9811c · outbound

This paper cites Mensing, Die Rotations-Schwingungsbanden nach der Quantenmechanik, Zeitschrift f¨ ur Physik36, 814 (1926).

Orbital angular momentum can take non-integer values in a closed universe Mensing, Die Rotations-Schwingungsbanden nach der Quantenmechanik, Zeitschrift f¨ ur Physik36, 814 (1926)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:26.258534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:22.695560Z digest=sha256:ac4795c6f88fe76c58d45064f78df50447145896d3c415fc27c822a130987dbe

Observation 7ecdd77c-1f1e-4c4e-b8ed-187da43b5bed · outbound

This paper cites an unresolved cited work.

Orbital angular momentum can take non-integer values in a closed universe Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:26.107072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:22.771039Z digest=sha256:7e28532079218dda9e596612189bf427ce13b1b79e7cf5336da3eda9369ba5ec

Observation edf3a2bb-c7bc-48e8-9689-bd624e26e418 · outbound

This paper cites an unresolved cited work.

Orbital angular momentum can take non-integer values in a closed universe Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T11:26:22.872780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:26:22.872780Z digest=sha256:7437aef361d744507fe34e733be29d02f297bc106e5c9cdf41b99d3ba9cb5854

Observation 3f56cd94-f5a4-4234-9f79-ab7a1409c3e7 · outbound

This paper cites Pauli, inQuantentheorie, edited by H.

Orbital angular momentum can take non-integer values in a closed universe Pauli, inQuantentheorie, edited by H

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:25.954886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:22.930257Z digest=sha256:9661c7f1184aaf8bb74d0059b5318670138e72f83cf24b095f5b95b8351dab0a

Observation fa857b35-d902-4f32-a679-16d1ff18e010 · outbound

This paper cites Pauli, ¨Uber ein Kriterium f¨ ur Ein- oder Zweiwer- tigkeit der Eigenfunktionen in der Wellenmechanik, Hel- vetica Physica Acta12, 147 (1939).

Orbital angular momentum can take non-integer values in a closed universe Pauli, ¨Uber ein Kriterium f¨ ur Ein- oder Zweiwer- tigkeit der Eigenfunktionen in der Wellenmechanik, Hel- vetica Physica Acta12, 147 (1939)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:25.799411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:23.014320Z digest=sha256:4c1db0586b714c72e2f08e03411a81b30a50fe57c7222ff58c203483fe6fc2fb

Observation d6d9b7c7-dbf8-4b7b-922f-1a53aaac04c4 · outbound

This paper cites Pauli, inPrinciples of Quantum Theory 1, edited by S.

Orbital angular momentum can take non-integer values in a closed universe Pauli, inPrinciples of Quantum Theory 1, edited by S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:25.647382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:23.054096Z digest=sha256:ccc9a78be7536dfa4d7a382aa0cfc98cf38d61ce3fed4b110eb480104bf61167

Observation ebd039ca-1b28-47ee-a4f1-d1d0014edd3e · outbound

This paper cites Merzbacher, Single Valuedness of Wave Functions, American Journal of Physics30, 237 (1962).

Orbital angular momentum can take non-integer values in a closed universe Merzbacher, Single Valuedness of Wave Functions, American Journal of Physics30, 237 (1962)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:25.443276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:23.141897Z digest=sha256:120daf54e73c21ce5be10fdb3541efb1b8d24c7b01141f9d0f87e4a57a7d7b9a

Observation 29f60c5c-7ae0-44db-841b-b27553387d87 · outbound

This paper cites an unresolved cited work.

Orbital angular momentum can take non-integer values in a closed universe Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:25.265925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:23.199822Z digest=sha256:fe3774179ff35cf266b1233da7b45719f1fafab63fd601f4eef0cd609e9d5b3d

Observation 19495faf-3d2d-474e-92ca-1459483d5da9 · outbound

This paper cites an unresolved cited work.

Orbital angular momentum can take non-integer values in a closed universe Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:25.099650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:23.208529Z digest=sha256:f325f103f7fb9883be50cd0c0887f644a69a199e50d289c719abcbad3df662b3

Observation 5ce732c7-7f16-4267-8568-ba1642720e24 · outbound

This paper cites Lerda,Anyons: quantum mechanics of particles with fractional statistics(Springer, Berlin, 1992).

Orbital angular momentum can take non-integer values in a closed universe Lerda,Anyons: quantum mechanics of particles with fractional statistics(Springer, Berlin, 1992)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:24.899494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:23.217911Z digest=sha256:0823c1d0114867266c150d59d0bfb5516064c5174c4b7b317b6096f257f3fad7

Observation 4e8c7542-acc1-4381-be24-a1e908fee8c5 · outbound

This paper cites Probing the Universe's Topology through a Quantum System?.

Orbital angular momentum can take non-integer values in a closed universe Probing the Universe's Topology through a Quantum System?

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:26:23.515685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:23.224812Z digest=sha256:a6a9b6dd8a19f8940e6776574f99d0332ddff0ad718909296bc3da770ad7a0dd

Observation 13293683-2b04-457d-88c3-0deb842f567a · outbound

This paper cites Back- ground geometry and topology of the Universe, A&A 594, A18 (2016).

Orbital angular momentum can take non-integer values in a closed universe Back- ground geometry and topology of the Universe, A&A 594, A18 (2016)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:24.706905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:23.232096Z digest=sha256:6a9ca8e962b03ed3c90098e9e8aae5c4b93d5f7a1fd706907cca30c36b70473c

Observation 9a833fb8-8c07-4baa-88ae-971b69c40755 · outbound

This paper cites Harwit, Photon orbital angular momentum in astro- physics, Astrophys.

Orbital angular momentum can take non-integer values in a closed universe Harwit, Photon orbital angular momentum in astro- physics, Astrophys

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:24.562306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:23.247782Z digest=sha256:d8e4e715954cfb75e5ee7675837ff6a8eea5dff7deb9587108f1b1e2e0e7f431

Observation 53f7ecaf-c1fa-477d-9184-2b3997ca77e7 · outbound

This paper cites Schm¨ udgen,An Invitation to Unbounded Represen- tations of *-Algebras on Hilbert Space(Springer, Berlin, 2020).

Orbital angular momentum can take non-integer values in a closed universe Schm¨ udgen,An Invitation to Unbounded Represen- tations of *-Algebras on Hilbert Space(Springer, Berlin, 2020)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:24.376394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:23.259046Z digest=sha256:9d7d72d8a46a369c47730e7e0d7bf364d313bf54359c816a1c5d518a444cd053

Observation f7def71a-0d2e-4b72-baee-1a114333b92e · outbound

This paper cites an unresolved cited work.

Orbital angular momentum can take non-integer values in a closed universe Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T11:26:23.272973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:26:23.272973Z digest=sha256:f9d70aa916e291ccc23f41773cc968d9748a5f8878a5a3a575e687aa550723c8

Observation 6bd35983-fe05-45e2-a1f5-a46d9ef30a67 · outbound

This paper cites an unresolved cited work.

Orbital angular momentum can take non-integer values in a closed universe Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:24.049924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:23.280081Z digest=sha256:e978b6bf1326a9eaa267dc6610b9ef0f01fb05fa6caff0b539bba42d2b847f51

Observation d6ce719c-ab97-4290-97f8-6573bf662a1d · outbound

This paper cites Reed and B.

Orbital angular momentum can take non-integer values in a closed universe Reed and B

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:23.819300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:26:23.288593Z digest=sha256:1e3fba99251729bcfc5346d78f5a876c47da1ade71ae6b1782f0e5ce97daab9d

Pith citing papers

No inbound Pith citation observations are available.