Paper Citation Record · LEDGER

An open harmonic chain: Exact vs global and local reduced dynamics

As of 24 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2505.16669.

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

pith.paper-citation-record.v1
2505.16669 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:00:49.976769Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T01:03:51.855209Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T01:08:25.973867Z

Reference resolution

48 of 48 outbound references displayed

verified exact0
verified fuzzy32
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2c37664d-2890-4e60-8126-a0acecd65302 · outbound

This paper cites (56), (57), (76), and (77), M and N have the following form M = M ⊕ M, N = N ⊕ N.

An open harmonic chain: Exact vs global and local reduced dynamics (56), (57), (76), and (77), M and N have the following form M = M ⊕ M, N = N ⊕ N

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:59.418182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a305b0be-2574-4338-846a-022c340002f1 · outbound

This paper cites In such a case, due to the symmetry, we expect that the covariance matrix remains invariant under the change of labels 1 and 3.

An open harmonic chain: Exact vs global and local reduced dynamics In such a case, due to the symmetry, we expect that the covariance matrix remains invariant under the change of labels 1 and 3

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:59.094600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 698fb6b3-ba5f-496d-943f-5133e05397fa · outbound

This paper cites By expanding |C1⟩, which is the vectorized form of the ﬁrst block of the local steady state, in powers of g |C1⟩ = ∞∑ n=0 gn ⏐ ⏐ ⏐C(n) ⟩ , (C3) and using Eq.

An open harmonic chain: Exact vs global and local reduced dynamics By expanding |C1⟩, which is the vectorized form of the ﬁrst block of the local steady state, in powers of g |C1⟩ = ∞∑ n=0 gn ⏐ ⏐ ⏐C(n) ⟩ , (C3) and using Eq

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:58.866222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9fbc068c-e9c6-40b8-a6e2-c835aca33896 · outbound

This paper cites Brantut, C.

An open harmonic chain: Exact vs global and local reduced dynamics Brantut, C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:58.613477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c4f9b8e7-5e0f-4119-9436-d08a6a387f15 · outbound

This paper cites an unresolved cited work.

An open harmonic chain: Exact vs global and local reduced dynamics Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T15:00:46.003488Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52342e54-ad3d-4479-b0b5-4fc19b4136b9 · outbound

This paper cites Caruso, A.

An open harmonic chain: Exact vs global and local reduced dynamics Caruso, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:58.393266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ff71514b-99ee-4d9a-a148-c4e9cbd135ec · outbound

This paper cites Killoran, S.

An open harmonic chain: Exact vs global and local reduced dynamics Killoran, S

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:58.165863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 721ef26f-e17c-4636-848e-421122f538df · outbound

This paper cites an unresolved cited work.

An open harmonic chain: Exact vs global and local reduced dynamics Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:00:57.987342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c60b73ee-c9e2-482d-b843-a24296e3fc59 · outbound

This paper cites an unresolved cited work.

An open harmonic chain: Exact vs global and local reduced dynamics Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T15:00:46.244927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44b14186-d73c-4f8f-aa26-de9d9f576209 · outbound

This paper cites Baumgratz, M.

An open harmonic chain: Exact vs global and local reduced dynamics Baumgratz, M

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T15:00:46.272065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e18753e6-9a94-4d5f-9029-114340e4be41 · outbound

This paper cites an unresolved cited work.

An open harmonic chain: Exact vs global and local reduced dynamics Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T15:00:46.310840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91f48e84-074b-4f6a-ab19-b49ce6375591 · outbound

This paper cites Peres, Separability criterion for density matrices, Phy s.

An open harmonic chain: Exact vs global and local reduced dynamics Peres, Separability criterion for density matrices, Phy s

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:57.738177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6ad7d480-f1dd-4ed7-ac55-1296ca1af070 · outbound

This paper cites Horodecki, P.

An open harmonic chain: Exact vs global and local reduced dynamics Horodecki, P

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:57.466521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bfc516a1-8a02-4f11-8508-81dba03504b2 · outbound

This paper cites Gemmer, Quantum thermodynamics: emergence of thermodynamic behavior within composite quantum sys- tems, 2nd ed., Lecture notes in physics (Springer, Berlin, 2009).

An open harmonic chain: Exact vs global and local reduced dynamics Gemmer, Quantum thermodynamics: emergence of thermodynamic behavior within composite quantum sys- tems, 2nd ed., Lecture notes in physics (Springer, Berlin, 2009)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:57.233842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5c273a9d-2ed4-4d2e-9366-1571b94e4e4a · outbound

This paper cites Binder, L.

An open harmonic chain: Exact vs global and local reduced dynamics Binder, L

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:56.987514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 21e8ba97-2de1-490a-925c-26ce72810fcd · outbound

This paper cites Deﬀner and S.

An open harmonic chain: Exact vs global and local reduced dynamics Deﬀner and S

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:56.702705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a22ada42-6e12-4624-8b3c-e4f420d48cfe · outbound

This paper cites Spohn and J.

An open harmonic chain: Exact vs global and local reduced dynamics Spohn and J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:56.485285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a7476b03-06bf-42a8-bfb8-efea41f36fe4 · outbound

This paper cites an unresolved cited work.

An open harmonic chain: Exact vs global and local reduced dynamics Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T15:00:46.701127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76d7e64b-59e3-42cf-9a04-d7fefccb1ab0 · outbound

This paper cites Alicki, The quantum open system as a model of the heat engine, J.

An open harmonic chain: Exact vs global and local reduced dynamics Alicki, The quantum open system as a model of the heat engine, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:56.221315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 465cb264-cc13-4c65-aef3-3458c5f46a43 · outbound

This paper cites Zoubi, M.

An open harmonic chain: Exact vs global and local reduced dynamics Zoubi, M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:56.009532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5bcf221e-0773-4d06-b445-28c1eb9331de · outbound

This paper cites Rivas, A.

An open harmonic chain: Exact vs global and local reduced dynamics Rivas, A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:55.818155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a4cf2a68-4765-4e7c-ae4f-a53be975801b · outbound

This paper cites Migliore, M.

An open harmonic chain: Exact vs global and local reduced dynamics Migliore, M

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:55.564132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 426c36cd-86eb-4a39-9674-562e28f9f315 · outbound

This paper cites Werlang and D.

An open harmonic chain: Exact vs global and local reduced dynamics Werlang and D

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:55.300144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d54ae424-73ee-498c-aa34-76c189ba198e · outbound

This paper cites an unresolved cited work.

An open harmonic chain: Exact vs global and local reduced dynamics Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:00:55.043305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 518c7ddc-c7c2-4703-b898-34c53dbd52a7 · outbound

This paper cites Wichterich, M.

An open harmonic chain: Exact vs global and local reduced dynamics Wichterich, M

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:54.832561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a8a54530-7833-4350-8a85-f3edb4277a95 · outbound

This paper cites Rivas and M.

An open harmonic chain: Exact vs global and local reduced dynamics Rivas and M

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:54.650138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f9bb58f0-3e50-43a9-b4f4-6ecc1084e90a · outbound

This paper cites an unresolved cited work.

An open harmonic chain: Exact vs global and local reduced dynamics Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:00:54.421379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bb8a29d7-5e25-4467-a3e0-74dff02a2ae9 · outbound

This paper cites Gorini and A.

An open harmonic chain: Exact vs global and local reduced dynamics Gorini and A

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:54.131279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 95da9859-5038-4ef0-afa1-85e8199a76bf · outbound

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

An open harmonic chain: Exact vs global and local reduced dynamics Lindblad, On the generators of quantum dynamical semigroups, Commun

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T15:00:47.752604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82148476-82f6-4405-9331-0abde5aa887c · outbound

This paper cites Levy and R.

An open harmonic chain: Exact vs global and local reduced dynamics Levy and R

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:53.862070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b9026102-afff-4aa3-9d99-60e377cb5dc5 · outbound

This paper cites an unresolved cited work.

An open harmonic chain: Exact vs global and local reduced dynamics Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:00:53.631296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ebe97583-9e6f-4d50-8b2f-68f3d7deb007 · outbound

This paper cites an unresolved cited work.

An open harmonic chain: Exact vs global and local reduced dynamics Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:00:53.437002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a94fcef9-33ee-49e2-a24e-708ff7ea2a6d · outbound

This paper cites an unresolved cited work.

An open harmonic chain: Exact vs global and local reduced dynamics Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T15:00:48.055692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a1e2c5e-a2b9-4476-8a76-816f2fb5787e · outbound

This paper cites an unresolved cited work.

An open harmonic chain: Exact vs global and local reduced dynamics Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:00:53.290551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e358719a-87ac-4fb2-aa8d-7977b4e70a86 · outbound

This paper cites De Chiara, G.

An open harmonic chain: Exact vs global and local reduced dynamics De Chiara, G

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:53.049971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 372bd59c-95f3-49d8-b650-01fe386a3160 · outbound

This paper cites Cattaneo, G.

An open harmonic chain: Exact vs global and local reduced dynamics Cattaneo, G

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:52.917734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 935612a7-af62-41a6-80d7-ad30527a1fad · outbound

This paper cites Farina, G.

An open harmonic chain: Exact vs global and local reduced dynamics Farina, G

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:52.701613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ac7073c9-78b9-40c7-8f99-90b442ae734b · outbound

This paper cites Benatti, R.

An open harmonic chain: Exact vs global and local reduced dynamics Benatti, R

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:52.512388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b7d45638-1ae5-4b22-bb26-257c3bd89dd2 · outbound

This paper cites Benatti, R.

An open harmonic chain: Exact vs global and local reduced dynamics Benatti, R

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:52.320273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 11813d33-2d2c-43a3-9705-10c7272d81b4 · outbound

This paper cites Scali, J.

An open harmonic chain: Exact vs global and local reduced dynamics Scali, J

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:52.021504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6969e71a-4b92-4381-9f91-fd6eb1d22484 · outbound

This paper cites Konopik and E.

An open harmonic chain: Exact vs global and local reduced dynamics Konopik and E

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:51.708769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f9e30d0e-377c-46a4-b20f-7eabd2b4dd7f · outbound

This paper cites an unresolved cited work.

An open harmonic chain: Exact vs global and local reduced dynamics Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T15:00:49.101371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05a33c7b-4816-409f-8f0e-a6bba5164071 · outbound

This paper cites Gaussian states in continuous variable quantum information.

An open harmonic chain: Exact vs global and local reduced dynamics Gaussian states in continuous variable quantum information

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T15:00:49.225588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84d3dfb1-732f-4943-9798-dde0789c31a0 · outbound

This paper cites Gaussian quantum channels.

An open harmonic chain: Exact vs global and local reduced dynamics Gaussian quantum channels

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-07T15:00:49.404717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 380987f7-f578-4d47-be02-04a3b953fbf9 · outbound

This paper cites Seraﬁni, Quantum continuous variables: a primer of theoretical methods, ﬁrst issued in paperback ed.

An open harmonic chain: Exact vs global and local reduced dynamics Seraﬁni, Quantum continuous variables: a primer of theoretical methods, ﬁrst issued in paperback ed

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:51.363196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e6c648eb-f2a2-482e-85b8-37febc9a2d0e · outbound

This paper cites Toscano and F.

An open harmonic chain: Exact vs global and local reduced dynamics Toscano and F

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:50.995178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5e866ad9-ac0f-4b77-afa3-bd2b559a4a57 · outbound

This paper cites Spohn, An algebraic condition for the approach to equilibrium of an open N-level system, Lett.

An open harmonic chain: Exact vs global and local reduced dynamics Spohn, An algebraic condition for the approach to equilibrium of an open N-level system, Lett

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:50.644846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9b3a9f21-a3a8-4004-81bc-f064b4bd9a91 · outbound

This paper cites Banchi, S.

An open harmonic chain: Exact vs global and local reduced dynamics Banchi, S

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:00:50.317187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation 285c239f-c262-42fb-8ad7-0c73281ceabf · inbound

Local and Global Master Equations through the Lens of Non-Hermitian Physics cites this paper.

Local and Global Master Equations through the Lens of Non-Hermitian Physics An open harmonic chain: Exact vs global and local reduced dynamics

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-02T02:17:12.940188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.