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Paper Citation Record · LEDGER

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density

As of 13 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 5 inbound Pith citation observations for arXiv:2603.04273.

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

pith.paper-citation-record.v1
2603.04273 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T18:55:29.621985Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T19:27:58.532839Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T05:17:40.045697Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved16
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  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8027ee54-e60d-440f-af40-67136c6fccaf · outbound

This paper cites collides.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density collides

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T18:55:27.790644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:27.790644Z digest=sha256:d6c27dc090fa1bbf357e76f563eafb0285f8ab87f913851f7c2beb88ed27668f

Observation 28c9f51c-5a7a-4289-bc2f-679c363abd3a · outbound

This paper cites an unresolved cited work.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T18:55:27.914296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:27.914296Z digest=sha256:40169cb81391fa032a5f7278b857e65c1cefcd95647f5ea704574765c9573846

Observation f9a162f9-28cb-4dc5-8d36-8ca65aa0afb6 · outbound

This paper cites This introduces a time-dependent shear offsetδx(t) = ˙γtL y between adjacent replicas.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density This introduces a time-dependent shear offsetδx(t) = ˙γtL y between adjacent replicas

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T18:55:28.032261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:28.032261Z digest=sha256:5736e12c9d9889dc6a1b177852151daafa08611a7340c8861da4ffb50d0f8138

Observation 4880bba1-2892-4375-8845-6d220ecc9d59 · outbound

This paper cites However, a gradient generated by fixingTat two slabs (e.g., via a M¨ uller- Plathe scheme132) is screened by bulk relaxation due to energy non-conservation during collision.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density However, a gradient generated by fixingTat two slabs (e.g., via a M¨ uller- Plathe scheme132) is screened by bulk relaxation due to energy non-conservation during collision

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T18:55:28.194248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:28.194248Z digest=sha256:8eb9fa4195c7112648d724f7120aa3e41504180457334d88e1de91e5bad2ed2d

Observation b3113de3-a650-40e4-adcd-debc3bf031a2 · outbound

This paper cites 29: D= lim t→∞ D x(t)−x(0) vx(0) + y(t)−y(0) vy(0) E 2 , Do = lim t→∞ D x(t)−x(0) vy(0)− y(t)−y(0) vx(0) E 2.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density 29: D= lim t→∞ D x(t)−x(0) vx(0) + y(t)−y(0) vy(0) E 2 , Do = lim t→∞ D x(t)−x(0) vy(0)− y(t)−y(0) vx(0) E 2

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T18:55:28.379606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:28.379606Z digest=sha256:fcf98cc2e78f98f3c24ff6fdd702cfb0f8d74ca852a7e7ecb99446b4da1eb357

Observation 4e3dfe82-88e1-4523-9779-84b67e9292f3 · outbound

This paper cites an unresolved cited work.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T18:55:28.542258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:28.542258Z digest=sha256:7e73fd8070d3f2d0ef30e0d2f2fa8e1b56e678d884ba32d50c27980e1fa609fb

Observation 5a2548bf-411b-43f4-8a59-47d2bf9eb111 · outbound

This paper cites (B9) Solving these two equations determinesT(α, m∆ 2) and a2(α, m∆2) at this order, leading to the theoretical prediction given in Fig.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density (B9) Solving these two equations determinesT(α, m∆ 2) and a2(α, m∆2) at this order, leading to the theoretical prediction given in Fig

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T18:55:28.683476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:28.683476Z digest=sha256:829483edc54031ade8a14ba4eb0bcd1f3e869cb0596cb950e7a8532aa67ab75b

Observation eb37e81b-eada-4b27-a96e-94677421d15b · outbound

This paper cites an unresolved cited work.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T18:55:28.753523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:28.753523Z digest=sha256:7aac6946eac876445d9f0d63b8c8b9b9743b46081092d25da23944ec3f0dab50

Observation e086d918-53c6-40c0-be9e-478fe87894b4 · outbound

This paper cites an unresolved cited work.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T18:55:28.817086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:28.817086Z digest=sha256:e0e48c1479d2a1f454cb18ca8ecc0d15cc123e5db2013354ca6c2c583872fe72

Observation 735cae41-a3fb-4702-9a5a-efbd19fa5bd6 · outbound

This paper cites These integrals simplify in center-of-massC= (c 1 + c2)/2 and relativec 12 =c 1 −c 2.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density These integrals simplify in center-of-massC= (c 1 + c2)/2 and relativec 12 =c 1 −c 2

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T18:55:28.857095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:28.857095Z digest=sha256:ed5a48a130f63e3ada07d15e55a4bcd75bb9ed521ee8f92e15e2e8a1b017070a

Observation e935e294-5e35-48d6-bc1e-733888e3a2b7 · outbound

This paper cites (C15) Using Eq.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density (C15) Using Eq

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T18:55:28.926744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:28.926744Z digest=sha256:1220428f423b785390e9f8a957c9df08a8b0426c39a95893437ee00538a4eb24

Observation 8006b18d-2bfa-433a-b9df-2cdda80388a6 · outbound

This paper cites After inserting Eq.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density After inserting Eq

Reference 12

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unresolved
no resolver link, observed 2026-08-02T18:55:28.994313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:28.994313Z digest=sha256:a863bc08480f9c2f96e83e6706cdea784a2f3e5a31bd6e48961fbb3f0e3d9357

Observation 18ceab0a-d4ca-416b-9f82-458b95866c11 · outbound

This paper cites Projecting the thermal part of Eq.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density Projecting the thermal part of Eq

Reference 13

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unresolved
no resolver link, observed 2026-08-02T18:55:29.163293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:29.163293Z digest=sha256:8b7b8579ac4f6eafdd6c888048aee7a94097b06002682a939df0671cc1faa364

Observation c3fc5630-2957-4fb7-8053-b6f2f5007959 · outbound

This paper cites an unresolved cited work.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density Unresolved cited work

Reference 14

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unresolved
no resolver link, observed 2026-08-02T18:55:29.328200Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:29.328200Z digest=sha256:8b7644d0aea3f9dd8d3dc007365ad0506c933357612146f7cac6e013da947641

Observation c61540ba-f7fd-4d10-bc7a-eddd2c35e67a · outbound

This paper cites (C24) Upon integration, we obtain (see SM) M∥∥ =− √πT 5/2χn2σ 2m3/2 T(1 +α)(19−15α)−3m∆ 2 , M∥⊥ =πχσn 2T 3∆(1−α)/m.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density (C24) Upon integration, we obtain (see SM) M∥∥ =− √πT 5/2χn2σ 2m3/2 T(1 +α)(19−15α)−3m∆ 2 , M∥⊥ =πχσn 2T 3∆(1−α)/m

Reference 15

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unresolved
no resolver link, observed 2026-08-02T18:55:29.537396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:29.537396Z digest=sha256:aabb73469dd35598c2cdea9e8f3da68c422c6ef1494be429113388e537d074e0

Observation 2d05dbb0-803d-4fce-8beb-afd7c44961de · outbound

This paper cites Odd elasticity in driven granular matter.

Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density Odd elasticity in driven granular matter

Reference 16

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unresolved
no resolver link, observed 2026-08-02T18:55:29.621985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:29.621985Z digest=sha256:68a47c6795ff80dd2b3dd5d39047af9180fb479123d33ecf3e1385d7f948c7b1

Pith citing papers

Observation d250457b-ebed-46c4-9d35-7cbc6e8209c5 · inbound

Dynamic properties in a collisional model for confined granular fluids. A review cites this paper.

Dynamic properties in a collisional model for confined granular fluids. A review Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density

Reference 108

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metadata mismatch
arxiv_id, observed 2026-07-17T01:20:46.583471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-15T16:05:58.089127Z digest=sha256:1ac93d3014894fe40501baee33d85579259a6d486472657983944130ea99efaa

Observation f429f913-67b3-4f65-9252-733667efdc4e · inbound

Equation of state for the edge flow of chiral colloidal fluids cites this paper.

Equation of state for the edge flow of chiral colloidal fluids Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density

Reference 57

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verified exact
arxiv_id, observed 2026-07-17T01:20:46.583471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T03:21:09.212207Z digest=sha256:e9779171179501c0c72c015558552fed27cc49bff2ece692b89f80c615309129

Observation 16837955-225e-410a-adab-bbff09af5f3f · inbound

Designing topological edge currents in chiral active matter cites this paper.

Designing topological edge currents in chiral active matter Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density

Reference 131

Resolution
verified exact
arxiv_id, observed 2026-07-17T01:20:46.583471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T02:29:47.759715Z digest=sha256:165dabaf8082f59a472bea1cdc91af8d5c8e2ffc444df955de66bb7208cb111a

Observation f98719b1-76b3-4191-9775-13c60580b8b0 · inbound

Curvature-driven wall accumulation in chiral active particles cites this paper.

Curvature-driven wall accumulation in chiral active particles Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density

Reference 9

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verified exact
arxiv_id, observed 2026-07-17T01:20:46.583471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-03T05:13:03.414987Z digest=sha256:60424f984c814a29900b04e67e803ff254cf89565055a71724b9fe3a49d6ad6f

Observation 3cc4c9a3-a947-4944-ab67-6bca96a606f8 · inbound

Steady base states in a two-dimensional chiral fluid. The chiral Stokes cavity cites this paper.

Steady base states in a two-dimensional chiral fluid. The chiral Stokes cavity Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density

Reference 105

Resolution
unresolved
no resolver link, observed 2026-07-31T19:27:58.532839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T19:27:58.532839Z digest=sha256:9b643fe4bf8a37f71f980911620144178d4fa5c9da1e09cabc1a442d25f36869