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Paper Citation Record · LEDGER

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics

As of 19 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2607.05619.

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

pith.paper-citation-record.v1
2607.05619 v3

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:33:22.515792Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:33:20.118593Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

30 of 30 outbound references displayed

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External citation measurements

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Outbound references

Observation 2f5795ce-9f32-43d8-9b13-62dee5632307 · outbound

This paper cites an unresolved cited work.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Unresolved cited work

Reference 1

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source=pdf_text observed=2026-08-02T08:33:19.542804Z digest=sha256:23a707d62c699a2f671b6b719e41ac811b37f6113c35005d2559f744c51ab66e

Observation 93938541-a234-4aaa-b93e-d476abecd787 · outbound

This paper cites an unresolved cited work.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-02T08:33:19.660182Z digest=sha256:ef8c8461b9c2186a225ab28414622a3d324c149a935aebbe5547ad441ba96075

Observation c144818d-5398-45a0-b1e4-192c313cf9ce · outbound

This paper cites Hilbert–Schmidt speed (HSS) has recently emerged as a practical witness of non-Markovianity.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Hilbert–Schmidt speed (HSS) has recently emerged as a practical witness of non-Markovianity

Reference 3

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source=pdf_text observed=2026-08-02T08:33:19.724696Z digest=sha256:066f3e8d612824fd99c00726bd736f410f98b21ac581693099c4a2ba6ea6b69f

Observation 23131919-c58b-4f0c-a4eb-980f1fd38f7b · outbound

This paper cites an unresolved cited work.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-02T08:33:19.823879Z digest=sha256:8487effc7e73eeee529d24f551fd2860ba5b9646d6338ed8a1dd887720f763f5

Observation 85f76131-3768-481e-b288-106a8fc95b49 · outbound

This paper cites an unresolved cited work.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-02T08:33:19.893533Z digest=sha256:c80acbc523d9732133091c289ac42af1c82c687a94429a8d2c7334248ebb4caa

Observation 4f81e3ce-f8d7-41dd-aa2f-44d69d0dd257 · outbound

This paper cites an unresolved cited work.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-02T08:33:19.968379Z digest=sha256:4e8ca209e3972f1d8e856bab3ff9c494d778d4e14ced02d219d6a2e90879c782

Observation 555c3649-2e5c-4ca8-b77d-842bc138a567 · outbound

This paper cites an unresolved cited work.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-02T08:33:20.044095Z digest=sha256:1a96b5d1c7efdfea042d07d19eba968ccc4b3682924cc814334f0284507a2c4e

Observation e9841885-57c3-434b-966b-a2711030411b · outbound

This paper cites Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics

Reference 8

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source=pdf_text observed=2026-08-02T08:33:20.118593Z digest=sha256:c95b00c16aa946a350e9c50fb162db82e6adc030f4cee9824c27d814b106c964

Observation cf9ca2d0-72bb-49c3-86aa-e4a3e4e083e9 · outbound

This paper cites an unresolved cited work.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-02T08:33:20.222505Z digest=sha256:dca395b320406127a1c00035482b796676bc7a1b377bd2273adf534cf589d8b6

Observation cfda5e7e-80c8-4fb9-8abc-5796c0489ccd · outbound

This paper cites an unresolved cited work.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Unresolved cited work

Reference 10

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source=pdf_text observed=2026-08-02T08:33:20.297909Z digest=sha256:5207e0d8937d57c59f6a58a440d246a309150581664b0b664cb5241c409ea525

Observation a832872e-f7cf-4951-b22e-5b8a6f7e6c76 · outbound

This paper cites an unresolved cited work.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Unresolved cited work

Reference 11

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source=pdf_text observed=2026-08-02T08:33:20.413195Z digest=sha256:59838ad4349c8dc4e00e329d2a86c7d75bf16ce468104f9149e76486a804947f

Observation 7a1f5ace-2f40-4b81-a457-faf5c0fdac89 · outbound

This paper cites an unresolved cited work.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Unresolved cited work

Reference 12

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source=pdf_text observed=2026-08-02T08:33:20.492395Z digest=sha256:994cb9791d641a019809ab9c5425a98659d000dd4a03919d1d2dacf9c8bdc181

Observation 9e63d4fb-0c0d-4d41-bdc9-43cf8267e698 · outbound

This paper cites an unresolved cited work.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-02T08:33:20.583087Z digest=sha256:afdab31ff6cc90a8b1b6cb67f348e61869f08d314edf2e630c9f200cd2da979b

Observation 2ba1017f-2bc5-4a93-ab68-0709efad3c8d · outbound

This paper cites Now suppose that the evolution is P-divisible.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Now suppose that the evolution is P-divisible

Reference 14

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source=pdf_text observed=2026-08-02T08:33:20.717612Z digest=sha256:7e0f48bcf7e9e2f164e980142db2b3182dc42aefe8eb15c52f40243e9491773d

Observation e2b1d290-d766-40f2-8c60-ca44c986990c · outbound

This paper cites an unresolved cited work.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-02T08:33:20.800811Z digest=sha256:1b571dbc56def637a4bed3392b47b523afc7b3e3b0a21134f1088b12c5ad8990

Observation 187ac45f-2977-40a9-96ac-2cce5ff1a344 · outbound

This paper cites Thus, independent information about the unitality of the dynamics is required before the growth can be interpreted as a witness of divisibility breaking.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Thus, independent information about the unitality of the dynamics is required before the growth can be interpreted as a witness of divisibility breaking

Reference 16

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source=pdf_text observed=2026-08-02T08:33:20.970788Z digest=sha256:ce48e60af8ee8d0fd7c26b442f1942d99ae590293e237588c75bfc89b28f3517

Observation fba4e2ad-7095-4226-b5fb-8274853aeac0 · outbound

This paper cites Breuer and F.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Breuer and F

Reference 17

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source=pdf_text observed=2026-08-02T08:33:21.115116Z digest=sha256:496c84185ec50f72a5c0bd7e0368059a3a613ea5c7e5c95c04c6c64503dbabeb

Observation ab991a2c-068b-4c13-a5bf-1d8073a46864 · outbound

This paper cites an unresolved cited work.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-02T08:33:21.237327Z digest=sha256:47b8e508a994ad42d9104123c572d1ef6d63e5e836d9f69a8bc63faba77b7d24

Observation 33bbf715-174a-431d-93d3-ca805b79f2ea · outbound

This paper cites Rivas, S.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Rivas, S

Reference 19

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source=pdf_text observed=2026-08-02T08:33:21.335463Z digest=sha256:0aa4e038d5f79dabe59f23da4a25500a03f749e4629b402409d6eebf42064c63

Observation 2fdaf178-5bd5-4f97-a0a9-7966c6a529ab · outbound

This paper cites Breuer, E.-M.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Breuer, E.-M

Reference 20

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source=pdf_text observed=2026-08-02T08:33:21.394952Z digest=sha256:247f27a0212a7f53d2838f89ae861b5936a1e656f11b12e0eb525836eb0f6ba5

Observation bb1fe479-5b4e-42b0-bfe8-319c9a0521c6 · outbound

This paper cites Rivas, S.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Rivas, S

Reference 21

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source=pdf_text observed=2026-08-02T08:33:21.525543Z digest=sha256:e877135698c936e1235ba32a4252f14c457b6278c22fe0bf25587ff42c9e4c82

Observation 7904bd23-5f33-418b-b602-8860a3e8f6a7 · outbound

This paper cites Wang and S.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Wang and S

Reference 22

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source=pdf_text observed=2026-08-02T08:33:21.589863Z digest=sha256:2680033ddea2d004bec578f63bfbaceeb7e19ce297055833e69bf689f2ce6d68

Observation 90ac0f7a-1af5-4a3a-ae4a-035b4b202e14 · outbound

This paper cites Rangani Jahromi, K.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Rangani Jahromi, K

Reference 23

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source=pdf_text observed=2026-08-02T08:33:21.664171Z digest=sha256:7ed263172582f7063ac7201e1857ac7c98d103063443d319ccf10b3273fe2889

Observation ad361f2a-4261-4147-b7e7-3cc878da239b · outbound

This paper cites Breuer, E.-M.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Breuer, E.-M

Reference 24

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source=pdf_text observed=2026-08-02T08:33:21.735684Z digest=sha256:e407d63b092d3798c0b347e16d3b153f9ec8306680eb0f0791de80770cabe4f5

Observation 03ad7a38-c4eb-4250-a792-1b10fe8c7cc1 · outbound

This paper cites Mahdavipour, M.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Mahdavipour, M

Reference 25

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source=pdf_text observed=2026-08-02T08:33:21.795288Z digest=sha256:dda31c7589e5ebcc769267baff803a80ef709b0969dcd1946e2a7faf2055658f

Observation 80e80f30-0634-4670-ace4-d15aa3a4fbab · outbound

This paper cites Rangani Jahromi and R.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Rangani Jahromi and R

Reference 26

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source=pdf_text observed=2026-08-02T08:33:21.862669Z digest=sha256:dfea7590d49cd37bb2cf9389424a01ba1e706cf73dc67d92229d1560402d4b9f

Observation 32de919c-0c82-4f94-b850-ade8d5d2da6f · outbound

This paper cites an unresolved cited work.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Unresolved cited work

Reference 27

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source=pdf_text observed=2026-08-02T08:33:22.006441Z digest=sha256:d1a5e2f70466f32d70abc76ec2099ccd4adcf1cc6108c6bc1e0ee83c8dbf5090

Observation b32eb35a-b60d-4968-8323-ab07b40e037c · outbound

This paper cites Gorini, A.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Gorini, A

Reference 28

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source=pdf_text observed=2026-08-02T08:33:22.143001Z digest=sha256:72c2c2b91811e380982a04d94bf30627f0862e1408b963c80f2c5808d22bc108

Observation 185d27fe-21cd-4a28-be05-6f182fcbe900 · outbound

This paper cites Lindblad, On the generators of quantum dynamical semigroups, Commun.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Lindblad, On the generators of quantum dynamical semigroups, Commun

Reference 29

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source=pdf_text observed=2026-08-02T08:33:22.322516Z digest=sha256:f8a6ec757ab491d678fc2fc393f7a381ce40be404fe1f1c3099023ecc4ce7726

Observation 4b7bf996-f670-4d09-8558-b5b043788b8d · outbound

This paper cites Chru´ sci´ nski and F.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Chru´ sci´ nski and F

Reference 30

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source=pdf_text observed=2026-08-02T08:33:22.515792Z digest=sha256:76f74d32a8550d8413a4d21e9d449d058f55ea95c47d09c54ae0c46307a6ba14

Pith citing papers

Observation e9841885-57c3-434b-966b-a2711030411b · inbound

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics cites this paper.

Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics

Reference 8

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source=pdf_text observed=2026-08-02T08:33:20.118593Z digest=sha256:c95b00c16aa946a350e9c50fb162db82e6adc030f4cee9824c27d814b106c964