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Paper Citation Record · LEDGER

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

As of 12 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 2026-08-12T06:34:41.77262+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

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  • 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=sha256:3aa3ded69be9f5c030081a8103cc73347b69011d675bdb07a081b8ebcb43f8dd

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

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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=sha256:9c54dfd5263bb23c08be0387b12a9e08f3c1ff254f749a104e9377294fc42745

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:b9f0a04ea84a170283d7bd87498cd5cfcd4f3db120e3f71e6ae098c631a60b6d

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:cfe4162f36c8000c568932755222285896e340474528cf6bc447ac50d6a4a094

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

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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=sha256:7ada6321f26111d2bd47d6a4ae7d9730aab6e528e2297665341037e69d3cc289

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:d5625a826671fcae7394e04c2f646ee87b13cbbe639b14e0ff93777374def3dd

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

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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=sha256:9641efcd3cfc6581b5b2b653cdce652534c151116087ac0c32b409cf28d4099d

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

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:28.753523Z digest=sha256:3d2e91c3e89b8bb9065fd922b40c7c4fcb389f15cbc2c3bf7413407d14b4d299

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

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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=sha256:3050eb335ccde82d3dc15be65a3843b57d40a4ad738a29aee2c90d30288d45d8

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

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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=sha256:7f40e4a7e0219a9d1d1896dc2f55e4202ce685fdc21ddad5b9979d0e73cb4918

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=sha256:336dc855be108a6ffd94f40512fd73d95aefef98680b2281bda8451a1781ffec

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:28.994313Z digest=sha256:e522f2a66a7f9bc4dbdb6031dea00049df28ee067662c4b05e95e11c6c59aaae

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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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=sha256:25dfeb8d7cbbb7436fa3b5b2d006599042e04a2871fe08fefabb374360eaa4f9

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=sha256:7fe10fb8cea54cb2daa58840234582f7d93c13dd8a93b6a543a7aa37cad4b39e

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:29.537396Z digest=sha256:3c22a1618d9cb0540ba43c7e239ea07ad62e91bd786748ea8d35121423dffb9f

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:55:29.621985Z digest=sha256:c434a21a3f4621496970214188b2a22c70f7501585a8338e342385eaf851e8e3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-15T16:05:58.089127Z digest=sha256:910e66da2a4f5849f437f9126ae353a745313971209e975738c44419a6bff8d4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T03:21:09.212207Z digest=sha256:469068b13e0557c9331c6dfbc39e98958f49112b6bc94fd46d5a22901fcf8fa9

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

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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-01T02:29:47.759715Z digest=sha256:a45fa070730ff8803c0a3344d49d5e8b3e4d67ad42cfb0bc926fe6f833df810b

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-03T05:13:03.414987Z digest=sha256:9e8db4fe37d660ed66e0b3b9f01612f34c3db35d643d8c3cbe26ee470b67dfdf

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=sha256:2e14d3012a3ee4f9330552f84b87f99d8b528eca99de0ff89369523e9af94ed6