Paper Citation Record · LEDGER

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations

As of 15 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2412.10875.

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

pith.paper-citation-record.v1
2412.10875 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:39:20.899889Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T21:23:29.255129Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T19:47:19.111398Z

Reference resolution

37 of 37 outbound references displayed

verified exact0
verified fuzzy33
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1be2ced1-d0f2-4a30-8e73-b1ac09fafbaa · outbound

This paper cites Antonelli, G.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Antonelli, G

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.714378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 556d0147-5e74-4179-ba30-cb5db0e129e9 · outbound

This paper cites Antonelli and P.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Antonelli and P

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.697405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 494d182a-476f-41da-a7eb-567b263e711f · outbound

This paper cites Antonelli and P.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Antonelli and P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.678588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1ee8f199-2691-4158-a432-0aaed24fb5e3 · outbound

This paper cites Antonelli, P.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Antonelli, P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.659985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 987a342b-970f-4e21-a4a4-8822f6ba688d · outbound

This paper cites Antonelli, P.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Antonelli, P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.638994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c7b398a5-f0f1-4cfa-9373-e726ec10e478 · outbound

This paper cites Antonelli, L.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Antonelli, L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.617048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d3b4f9ae-e1d5-4ee2-af4d-c917b94f69e7 · outbound

This paper cites Antonelli, L.E.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Antonelli, L.E

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.590042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9958879f-1d02-4c73-8f9d-bd2c6fa541c0 · outbound

This paper cites Antonelli and S.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Antonelli and S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.571150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2c7f1788-4034-4b3c-985e-76e445e83d16 · outbound

This paper cites Antonelli and S.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Antonelli and S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.546607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e1f76d9a-ac31-4d88-b049-15b936e80ad0 · outbound

This paper cites Audiard and B.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Audiard and B

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.527080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8ccb9759-2420-4d1d-9c12-d6190888096d · outbound

This paper cites Benzoni-Gavage, R.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Benzoni-Gavage, R

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.504513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c80c37f5-398b-49f4-9560-e8352a7d2d57 · outbound

This paper cites Breit, E.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Breit, E

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.477265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d31e01fc-173a-4c6c-b135-fbc1869d4392 · outbound

This paper cites Bresch and B.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Bresch and B

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.459745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 935c5600-a9a9-4917-9814-7580c496d612 · outbound

This paper cites Bresch, A.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Bresch, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.441274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b0ac6a2d-fa81-405e-b875-75be60e35aa2 · outbound

This paper cites Dhariw al and E.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Dhariw al and E

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.423257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 02cf9d83-957f-4a1b-b833-17d1a4ed0af9 · outbound

This paper cites Burtea and B.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Burtea and B

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.397940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5ce85599-aaf6-44de-bf3b-e4c291440fd3 · outbound

This paper cites Burtea and B.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Burtea and B

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.376044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 928af2a5-92b1-4058-b355-2bfc1ab0bfe6 · outbound

This paper cites Caggio and D.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Caggio and D

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.357998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2891f85a-9678-4cb9-ac92-cb1d4d22e620 · outbound

This paper cites Charve and B.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Charve and B

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.335984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 422298f7-a188-4659-b4f3-80cfc5cfdf70 · outbound

This paper cites an unresolved cited work.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:39:21.304230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 528920ac-1efd-4c18-93a8-78da4afcc830 · outbound

This paper cites Constantin, T.D.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Constantin, T.D

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.284109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0040ec93-cfcf-4539-8a6f-d220b74a4db2 · outbound

This paper cites Constantin, T.D.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Constantin, T.D

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.265387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ae13154e-5fe9-47f8-a400-e7218dffb3ba · outbound

This paper cites Coti-Zelati, N.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Coti-Zelati, N

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.243572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 075b6401-fa91-4c79-bba3-c57c04e2e3b8 · outbound

This paper cites Da Prato and J.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Da Prato and J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.222933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ed7d8c49-f956-4977-85bb-a3de25ad7f25 · outbound

This paper cites Donatelli, E.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Donatelli, E

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.205808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 32f9dbb5-21fb-454b-a676-1bfa6f71fa8f · outbound

This paper cites Global regularity for the one-dimensional stochastic Quantum-Navier-Stokes equations.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Global regularity for the one-dimensional stochastic Quantum-Navier-Stokes equations

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:20.834066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efb644a6-6684-4b7e-8089-e61823cabcb7 · outbound

This paper cites an unresolved cited work.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:39:21.180598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3e65cc4a-63f7-49b6-9b9f-255a0b7b4b69 · outbound

This paper cites Dunn and J.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Dunn and J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.161988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3e1bc46d-7478-4bc1-937d-5a35f23e021e · outbound

This paper cites Germain and P.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Germain and P

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.140048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2d45031a-94be-491e-8fb8-1e0b9c1869d9 · outbound

This paper cites Haspot : Existence of global strong solution for the compressible Na vier-Stokes equations with degenerate viscosity coeﬃcients in 1D , Math.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Haspot : Existence of global strong solution for the compressible Na vier-Stokes equations with degenerate viscosity coeﬃcients in 1D , Math

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.119284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 71dc40e0-3e6b-45c9-8350-917fdab22265 · outbound

This paper cites Jiu and Z.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Jiu and Z

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.097825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 351519a4-bc27-4383-b541-6e79f8a6b206 · outbound

This paper cites J ¨ungel: Global weak solutions to compressible Navier–Stokes equat ions for quantum ﬂuids , SIAM J.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations J ¨ungel: Global weak solutions to compressible Navier–Stokes equat ions for quantum ﬂuids , SIAM J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.074783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0a96e2d4-a471-4db9-b26f-0c9e36e9ce31 · outbound

This paper cites Lacroix-Violet and A.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Lacroix-Violet and A

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.053570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9bc6711e-d078-495e-98d3-f0167a986951 · outbound

This paper cites Landau and E.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Landau and E

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.034494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0e35bc8a-7e44-490b-9b27-19b83cb8111d · outbound

This paper cites Global Existence of Weak Solutions to the Barotropic Compressible Navier-Stokes Flows with Degenerate Viscosities.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Global Existence of Weak Solutions to the Barotropic Compressible Navier-Stokes Flows with Degenerate Viscosities

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:20.886292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6742e660-2826-49cd-9281-993a3d42dc6b · outbound

This paper cites Mellet and A.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations Mellet and A

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:21.011161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 52706290-90ab-4920-b299-d2b494616eed · outbound

This paper cites V asseur and C.

Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations V asseur and C

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:20.988640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation 54d8aae9-9f4c-4ee9-945e-a74e4c5a7826 · inbound

Invariant measures for the one-dimensional stochastic Navier-Stokes-Korteweg equations cites this paper.

Invariant measures for the one-dimensional stochastic Navier-Stokes-Korteweg equations Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-07-02T19:47:19.112828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.