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Paper Citation Record · LEDGER

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra

As of 20 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2606.09015.

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pith.paper-citation-record.v1
2606.09015 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T15:13:01.059179Z

measured 18 of 18 standing notices

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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.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

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Reference resolution

18 of 18 outbound references displayed

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  • verified fuzzy0
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External citation measurements

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Outbound references

Observation d137ea9c-89e1-40d9-97ab-21f4d981d124 · outbound

This paper cites A.; Solomon, A.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra A.; Solomon, A

Reference 1

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source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:0bdf65b3da0730857e8b8e892b8cb71ae4f6067d91dd3489b0af19515aaafe30

Observation 023ee456-bce2-4d33-9246-5e30c572db00 · outbound

This paper cites an unresolved cited work.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra Unresolved cited work

Reference 2

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source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:3f47d7b7e319035472569bc2ff5a57ed8d7bc103a89e47cba797aeb1ebdc1b7b

Observation ec862dcb-7fb6-40b6-a581-d6c8d3aedd21 · outbound

This paper cites H.Operator-valued generalized stirling numbers of the first kind from boson algebra,Phys.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra H.Operator-valued generalized stirling numbers of the first kind from boson algebra,Phys

Reference 4

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source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:05f2595a58d7cdcb23e333ac0fa80551995f7a5327135066685acb0e1459f917

Observation 4aa9fa24-8593-4f28-9823-d86e5cc6c37f · outbound

This paper cites an unresolved cited work.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra Unresolved cited work

Reference 5

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source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:f9633d986194acc34e5368fde78ad623a91b63da14eb806a2eceb2ab30e27399

Observation df83e0db-c7e9-4b1f-af7d-7bc496d4460a · outbound

This paper cites an unresolved cited work.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra Unresolved cited work

Reference 6

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source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:ff08b3a115235ec2d0f28375f3be2b32f178d1e0009e0806e6148fd445af0693

Observation 186b0b92-dc1e-4922-bc04-239809e54a19 · outbound

This paper cites K.; Kim, T.Note on the analogues of r-Stirling numbers via Boson operators,TWMS J.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra K.; Kim, T.Note on the analogues of r-Stirling numbers via Boson operators,TWMS J

Reference 7

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source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:67edcfc678f418f901848adde5744e50ee8fdef4e3552d3742a9c2620e00f5f5

Observation 6f8839bf-cbc8-42af-9e03-fc0fec562b1c · outbound

This paper cites S.Some identities on degenerate r-Stirling numbers via boson operators,Russ.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra S.Some identities on degenerate r-Stirling numbers via boson operators,Russ

Reference 8

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source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:80488e217ca25fc6f126c4311f24ccc6d32286566d056c9abbe7d226f9e9ec1e

Observation 76e13de4-5de1-4d87-9cf2-0ace58e36344 · outbound

This paper cites S.Degenerate generalized Stirling operators of the second kind and Bell polynomial operators,to appear.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra S.Degenerate generalized Stirling operators of the second kind and Bell polynomial operators,to appear

Reference 9

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source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:33cf2fa79ce0946af337a3da9e2b37369fc4dfbf747326cc1b345911be1fbaeb

Observation f1b0c902-74d2-4362-b24d-9b2d3fae1246 · outbound

This paper cites S.Recurrence relations for degenerate Bell and Dowling polynomials via Boson operators,Comput.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra S.Recurrence relations for degenerate Bell and Dowling polynomials via Boson operators,Comput

Reference 10

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source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:17f7d9391300207d6b083e2e3f5b8477b73dded180dffdda3b7c286075259f88

Observation 40f36768-a7e7-40af-8055-84edd752a134 · outbound

This paper cites S.Degenerate r-Bell numbers and coherent states,Russ.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra S.Degenerate r-Bell numbers and coherent states,Russ

Reference 11

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Source-reported events for the cited work

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source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:af64e24dcdc849226e33c30992ca051fb7f4d25d7c838737b5954f293fbbb990

Observation 95fd8fcb-de84-416d-ae99-6007717c236c · outbound

This paper cites P.Deterministic quantum chaos for systems of bosons and fermions,Russian J.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra P.Deterministic quantum chaos for systems of bosons and fermions,Russian J

Reference 12

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source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:27e286cc9e608b5733edea1a13ba8531cdd1aa85d8a69f1193659ce035a0a2c1

Observation 2d640830-7477-46f2-b7b2-03bb063a1cdc · outbound

This paper cites P.Asymptotics with respect to a large number of fermions (or bosons) and their strong interaction with phonons and a quantized field,Russ.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra P.Asymptotics with respect to a large number of fermions (or bosons) and their strong interaction with phonons and a quantized field,Russ

Reference 13

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:3f6d8b25ddf9387affe4cb3ebadc9d6b8703c6bab846bea765f098abdbe17b9e

Observation 66fdf877-6d4f-4b9a-96c6-66a56b53bf9c · outbound

This paper cites H.On generalized normal ordering and generalized Stirling operators, Phys.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra H.On generalized normal ordering and generalized Stirling operators, Phys

Reference 14

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Observation a6f42159-f35d-4f73-a752-c5b58f99f0c1 · outbound

This paper cites an unresolved cited work.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra Unresolved cited work

Reference 15

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:79e00243fc85dea0b3475f2dd92392383b4d3daed76201e3677e1d3068ab17e3

Observation 4bc35b35-c18e-4e4f-8fdc-a773fdc51c6a · outbound

This paper cites an unresolved cited work.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra Unresolved cited work

Reference 16

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:59127cce46050506de9449822b5ee90376a380b95e2cee39aa1587752297fefc

Observation 0d8e4f07-8ea0-4410-8295-aa8bbf45b692 · outbound

This paper cites https://doi.org/10.1103/PhysRev.80.268 Karol Życzkowski and Hans-Jürgen Sommers.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra https://doi.org/10.1103/PhysRev.80.268 Karol Życzkowski and Hans-Jürgen Sommers

Reference 17

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metadata mismatch
doi, observed 2026-06-27T20:31:14.790486Z

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=2026-06-27T15:13:01.059179Z digest=sha256:9065d77f387f0b209bef89f820e57b0470cf7fe0d2fc9771961aa077bf9125f9

Observation 0c7a5116-011e-42c3-9634-0495e0ff93e4 · outbound

This paper cites Rev.40(1932),.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra Rev.40(1932),

Reference 18

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:13:01.059179Z digest=sha256:d7ca5b2970d2b7f207a1c4539e60a9c8945e7ff0bfab528409ffe01b3a72c1cb

Observation 5a861716-d626-45cd-ab28-c035ca75c55f · outbound

This paper cites an unresolved cited work.

Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra Unresolved cited work

Reference 19

Resolution
verified exact
doi, observed 2026-06-27T20:31:14.792660Z

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.

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