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Paper Citation Record · LEDGER

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics

As of 12 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2608.06032.

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

pith.paper-citation-record.v1
2608.06032 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T19:09:15.814885Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 386b521d-c7ec-42e3-a663-915bbe82e6d1 · outbound

This paper cites an unresolved cited work.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:09:16.068192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.733088Z digest=sha256:3ef105f07bc38726269a2bc5204c3051b54c0c707bfe55b1266b5b5ca9cac2c3

Observation 941c0f49-27c4-4743-929c-a044c3be12da · outbound

This paper cites Alpay, F.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Alpay, F

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:16.056607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.738348Z digest=sha256:a316e3f614cc33dde5d4e8c33a9fa36803c6331fd502fbd7874820886e5d4bae

Observation 5cd47ea2-a032-4da2-8c91-2b135d90a6cd · outbound

This paper cites Birkhoff, J.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Birkhoff, J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:16.045771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.743509Z digest=sha256:597763354701bc19ddcec6ad869f06fc818b6e139b434a553268aa52a08e04cc

Observation ddab833f-dc77-4ff0-9464-9a00bcfbdaa0 · outbound

This paper cites an unresolved cited work.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:09:16.034837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.747927Z digest=sha256:a42f7584ae1644674c6df27d8aff0924838c6f21e1553d7064617a96d0909f43

Observation 8a2fc3b3-f7b2-4e63-919d-77ad97645880 · outbound

This paper cites Colombo, J.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Colombo, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:16.024879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.751798Z digest=sha256:d8c2c0babac0d7e174175a637c1e236fc76adbd000cfe631ffdea8a87dbd0909

Observation bc70a512-eec6-45ba-a26c-0c8427d95f1a · outbound

This paper cites TheS-spectrum and the functional calculus for quaternionic opera- tors,.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics TheS-spectrum and the functional calculus for quaternionic opera- tors,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:16.014186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.755994Z digest=sha256:22c9aa833fd1fe82bea9f040a7ba019fd97b3ba9b8f8feb175af6ef993d384c1

Observation 2c6fd206-6e82-4612-951c-24ebfe5e4f9e · outbound

This paper cites Colombo, I.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Colombo, I

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:16.003139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.761110Z digest=sha256:44188da1334259365c20ccc5071da219328987abb6beefb0295222654ca7e354

Observation e367a07c-ef9d-4124-b47e-d179c129347e · outbound

This paper cites an unresolved cited work.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:09:15.992322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.765057Z digest=sha256:e926b96aa795ec9dfd80429e5032e9c7457ba034900114e4396121e19901da89

Observation 5ffb1cc1-2ba7-4738-bc5e-1b8e4a7a6b30 · outbound

This paper cites Curto, T.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Curto, T

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:15.982078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.768658Z digest=sha256:7e02cd4316486d5c2e5d941bcffea869d08da14de230d60329d536e37162c642

Observation bda5374d-7fd2-4993-a12b-e0a708f36848 · outbound

This paper cites Giardino, The quantum harmonic oscillator and the real Hilbert space,Annals of Physics, Vol.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Giardino, The quantum harmonic oscillator and the real Hilbert space,Annals of Physics, Vol

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:15.972011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.772463Z digest=sha256:e3201102d1176cf603474a18c6889a86abadaf45a31f675b8d8a05371c945590

Observation aa0aeda8-fe2b-4fb9-bcc9-11782555d31d · outbound

This paper cites Giardino, Quaternionic quantum harmonic oscillator,European Physical Journal Plus, Vol.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Giardino, Quaternionic quantum harmonic oscillator,European Physical Journal Plus, Vol

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:15.960862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.776262Z digest=sha256:0c1aedf100345d32b6ddb848d37d70681681da7cc0494482a74039176d51d7b7

Observation d123c036-0add-4eaa-a416-42ecf6a1e892 · outbound

This paper cites an unresolved cited work.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:09:15.950008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.779664Z digest=sha256:de85db50e65e0e93351fbdfec14523bd7b3aa4057cd03a27d4f3b8e6eb5230d7

Observation 05d193c5-850c-4ee1-9f81-66dbfa52fd59 · outbound

This paper cites Krishnan, T.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Krishnan, T

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:15.939966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.783064Z digest=sha256:bd2c9061863d55e7a80428945cbfa175893de8a26860a8f5197cb3f745d03d6b

Observation 92955e17-13ac-41c1-aad3-701f79e5b972 · outbound

This paper cites Orrell, Quantum Economics and Finance: An Applied Mathematics Introduction, 3rd Edition, Panda Ohana Publishing, (2022).

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Orrell, Quantum Economics and Finance: An Applied Mathematics Introduction, 3rd Edition, Panda Ohana Publishing, (2022)

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:15.929413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.786889Z digest=sha256:e5d35c2734b4ae00ed579c3a038019e4666b9b846f2da47faaeeace3281a2777

Observation f5e5a3f7-0b9b-44c1-92fa-726e1a576194 · outbound

This paper cites Orrell, The Quantum Stock Market: And the Road Not Taken in Finance.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Orrell, The Quantum Stock Market: And the Road Not Taken in Finance

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:15.917960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.790488Z digest=sha256:1b7c51e8a713be5995f95a0be610484078dc4f415ed8fd9c711cc888cc2c334a

Observation d7101843-16c8-450d-828b-e1d368f44abe · outbound

This paper cites Ramesh, P.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Ramesh, P

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:15.906189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.795093Z digest=sha256:3946ef54e98c3e2268e8dfb837edb5cdeda384df3b03798c9b162db3c2bc53fa

Observation 03d2aa3b-c8b4-4c98-b233-146bf89cc007 · outbound

This paper cites Stochel, F.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Stochel, F

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:15.893895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.799158Z digest=sha256:9bedf9fd3b830603a18d5610ff5169fabb86998ecb417023c16763eba6ce7491

Observation 316a7766-a245-4fcc-857f-e96bf46c775d · outbound

This paper cites Stochel, F.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Stochel, F

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:15.882216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.803778Z digest=sha256:a006ce3b89d3132a711f1277259f1491503d0138bb62390fb083a3e54599c994

Observation 8cfb1a60-1ac3-4bee-93c3-34be7b0f4bb4 · outbound

This paper cites an unresolved cited work.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:09:15.870284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.807751Z digest=sha256:f0865a50d475bae2780d9152562c24da56bb625dd5f6a75561486637e3e227f1

Observation 9b459461-2e5a-4130-ac47-8c0967a53895 · outbound

This paper cites an unresolved cited work.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:09:15.858478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.811377Z digest=sha256:17b38816b0282a1a7dd3ef96a52046c83713ff49b7424c99f1bcdeef019a6e95

Observation a399b8de-5e3f-48c4-93cf-2589abc546fe · outbound

This paper cites Viswanath, Spectral Theorem for Quaternionic Normal Operators, Transactions of the American Mathematical Society, Vol.

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics Viswanath, Spectral Theorem for Quaternionic Normal Operators, Transactions of the American Mathematical Society, Vol

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:09:15.846571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T19:09:15.814885Z digest=sha256:4e374a271db73a8a38eefd4caf8ec42e7317a4df5ad86acdd1278bb066026ea8

Pith citing papers

No inbound Pith citation observations are available.