Paper Citation Record · LEDGER

Thermodynamically consistent collisional master equation in a low-density gas with internal structure

As of 20 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2506.21394.

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

pith.paper-citation-record.v1
2506.21394 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:38:23.181586Z

measured 41 of 41 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:32:19.673703Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T19:32:19.873657Z

Reference resolution

40 of 40 outbound references displayed

verified exact2
verified fuzzy26
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a5834f46-1dd6-49b2-9113-472ea963944a · outbound

This paper cites Binder, L.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Binder, L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:32.128011Z

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.

Observation a121d237-a7f1-43e1-990f-a021f0808b16 · outbound

This paper cites Breuer and F.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Breuer and F

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:31.738976Z

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.

Observation 5a413d5c-056b-4e9d-a84f-44a1acc325e4 · outbound

This paper cites Boltzmann, Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften66, 275 (1872).

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Boltzmann, Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften66, 275 (1872)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:31.458400Z

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.

Observation 0d117c3f-3ccc-4583-b68c-4d2209d08b8e · outbound

This paper cites Einstein, Annalen der physik4 (1905).

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Einstein, Annalen der physik4 (1905)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:31.194625Z

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.

Observation abc8b8ca-82de-401f-bad5-e58eecf3ede8 · outbound

This paper cites Dümcke, Commun.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Dümcke, Commun

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:30.888187Z

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.

Observation c5185bc0-4ee7-45bb-aa59-59388c46000e · outbound

This paper cites Joos and H.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Joos and H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:30.717838Z

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.

Observation 2193a7fb-d34a-4aa9-91db-3222164e24c3 · outbound

This paper cites an unresolved cited work.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:38:30.523329Z

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.

Observation a41ce29e-8edb-4461-8de5-d191d993cb3b · outbound

This paper cites Diósi, EPL30, 63 (1995).

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Diósi, EPL30, 63 (1995)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:30.338565Z

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.

Observation 020d5e11-8600-49ea-a96e-66ce24b3c6c0 · outbound

This paper cites Hornberger and J.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Hornberger and J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:30.125720Z

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.

Observation 3901342e-be70-4519-825d-258c879d9b1e · outbound

This paper cites Schlosshauer, Reviews of Modern physics 76, 1267 (2004).

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Schlosshauer, Reviews of Modern physics 76, 1267 (2004)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:29.966908Z

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.

Observation 2ad38114-5eb5-42d6-8df8-385c3d286af5 · outbound

This paper cites an unresolved cited work.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:38:29.772854Z

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.

Observation 84a8697f-a5b5-4633-b77e-862c3316faf5 · outbound

This paper cites Hornberger, EPL77, 50007 (2007).

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Hornberger, EPL77, 50007 (2007)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:29.610642Z

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.

Observation d5ff05fe-2114-4729-b939-e1fbb78e628b · outbound

This paper cites Vacchini and K.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Vacchini and K

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:29.431909Z

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.

Observation 03ee1b31-9b2d-4f36-8c49-be1d464d7c83 · outbound

This paper cites Smirne and B.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Smirne and B

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:29.211066Z

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.

Observation 04e5fd28-a6e3-4dc2-a780-47adb911717f · outbound

This paper cites Hornberger, Europhysics Letters77, 50007 (2007).

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Hornberger, Europhysics Letters77, 50007 (2007)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:29.033144Z

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.

Observation 57b55078-56f5-4d7f-8e71-bdafea1afa85 · outbound

This paper cites Ciccarello, S.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Ciccarello, S

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:28.866542Z

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.

Observation e15fac2a-392f-4332-a41c-1656c4a73df5 · outbound

This paper cites Strasberg, G.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Strasberg, G

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T22:38:19.317687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0786f56-4585-4255-8507-a2414ea7597b · outbound

This paper cites Cusumano and G.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Cusumano and G

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:28.630733Z

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.

Observation d7407360-1098-411d-b8c8-4463382c6557 · outbound

This paper cites an unresolved cited work.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:38:28.428319Z

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.

Observation 7a7c04fb-85f3-4a90-b3a2-676158f235a9 · outbound

This paper cites an unresolved cited work.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:38:28.302625Z

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.

Observation 6020392f-8e73-48fd-9d7d-fa922e985e0e · outbound

This paper cites an unresolved cited work.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:38:28.148613Z

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.

Observation 8cd4f23a-a6d4-4b10-a57f-158402b63f13 · outbound

This paper cites Tabanera-Bravo, J.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Tabanera-Bravo, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:27.967208Z

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.

Observation 9def53ca-e7bc-469b-a4cf-f6ff6e8988ad · outbound

This paper cites an unresolved cited work.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:38:27.573838Z

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.

Observation 966468de-952c-40b6-801a-4c840305e607 · outbound

This paper cites Ehrich, M.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Ehrich, M

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:27.261748Z

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.

Observation 94d45745-0e85-4b73-9b54-edc24a4d76de · outbound

This paper cites De Chiara, G.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure De Chiara, G

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:27.096496Z

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.

Observation 0b54e55a-cc52-4298-8d60-86964a9e32c4 · outbound

This paper cites Landi, PRL 123, 140601 (2019).

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Landi, PRL 123, 140601 (2019)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:26.812885Z

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.

Observation 6abd4ee4-6d5a-4965-b843-0f6ea59c459f · outbound

This paper cites an unresolved cited work.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:38:26.474144Z

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.

Observation 446632f7-49f5-4063-b265-73163e0488df · outbound

This paper cites Taylor,Scattering Theory: The Quantum Theory of Nonrelativistic Collisions, Dover Books on Engineering (Dover Publications, 2012).

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Taylor,Scattering Theory: The Quantum Theory of Nonrelativistic Collisions, Dover Books on Engineering (Dover Publications, 2012)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:26.169880Z

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.

Observation 3271698e-ba1c-4ecf-9ec8-6d6c66100e5e · outbound

This paper cites Thermalization without detailed balance: population oscillations in the absence of coherences.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Thermalization without detailed balance: population oscillations in the absence of coherences

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:38:23.379558Z

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.

Observation 68f39a2b-3012-4f7c-8dd5-86a7c10b81a0 · outbound

This paper cites Spohn and J.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Spohn and J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:25.855178Z

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.

Observation 90f2a1fb-60ab-4498-a11c-dbdf97fc819d · outbound

This paper cites Alicki, J.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Alicki, J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:25.675180Z

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.

Observation ae31c7f1-70ac-4412-89d9-e717955ee192 · outbound

This paper cites an unresolved cited work.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:38:25.361548Z

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.

Observation 2517a0ff-31b7-49a3-8974-c9ee833fc03f · outbound

This paper cites an unresolved cited work.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:38:25.078328Z

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.

Observation 13bcffd8-1257-4338-9530-65a6cc29ba1e · outbound

This paper cites Equilibrium and nonequilibrium steady states with the repeated interaction protocol: Relaxation dynamics and energetic cost.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Equilibrium and nonequilibrium steady states with the repeated interaction protocol: Relaxation dynamics and energetic cost

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:38:23.629757Z

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.

Observation 45f7b603-ad1b-40f8-b0d9-ad8931c03a73 · outbound

This paper cites an unresolved cited work.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:38:24.954367Z

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.

Observation 153193d5-88a8-4d38-a262-6461db8f0bef · outbound

This paper cites Reed and B.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Reed and B

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:24.790284Z

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.

Observation 2ea59cfa-7e96-463c-8e3e-e833e6da7cfe · outbound

This paper cites an unresolved cited work.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:38:24.609807Z

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.

Observation 6cf957a1-80ed-4563-a7c2-1ece42e5bc63 · outbound

This paper cites Morchio and F.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure Morchio and F

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:24.343737Z

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.

Observation 333d54ee-6dcd-49ac-891f-bfe7f9b5e411 · outbound

This paper cites We begin directly from eq.

Thermodynamically consistent collisional master equation in a low-density gas with internal structure We begin directly from eq

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:24.106917Z

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.

Observation a8b7b50b-50f5-4fb9-b21f-2a084afbb4e7 · outbound

This paper cites In order to do so, we split the Greek multi indices again,ν→ (i,j ), and denote the gas indices by superscripts, Eνκ→E kl ij (B18) fνκ (q, p)→fkl ij (q, p).

Thermodynamically consistent collisional master equation in a low-density gas with internal structure In order to do so, we split the Greek multi indices again,ν→ (i,j ), and denote the gas indices by superscripts, Eνκ→E kl ij (B18) fνκ (q, p)→fkl ij (q, p)

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:38:23.871797Z

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.

Pith citing papers

Observation be1333f2-5782-4175-a66a-b37010d9709b · inbound

Quantum phase sensing with states out of thermal equilibrium cites this paper.

Quantum phase sensing with states out of thermal equilibrium Thermodynamically consistent collisional master equation in a low-density gas with internal structure

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:32:19.877200Z

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.