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Paper Citation Record · LEDGER

Spin Polarization Formula for Dirac Fermions at Local Equilibrium

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2109.15301.

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

pith.paper-citation-record.v1
2109.15301 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:16:16.051179Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T21:46:15.068825Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 99de5ef0-99df-4c9b-885d-f80fbceb4940 · inbound

An introduction to relativistic spin hydrodynamics cites this paper.

An introduction to relativistic spin hydrodynamics Spin Polarization Formula for Dirac Fermions at Local Equilibrium

Reference 130

Resolution
unresolved
no resolver link, observed 2026-08-12T18:24:35.916895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T18:24:35.916895Z digest=sha256:e9ec32dd7cf3ce74580fd5bc205440a5309f9f03e7c221f474baf7d67292921e

Observation 6619274d-c65d-4a69-9cab-e9faef7f12b8 · inbound

Spin alignment of vector mesons in local equilibrium by Zubarev's approach cites this paper.

Spin alignment of vector mesons in local equilibrium by Zubarev's approach Spin Polarization Formula for Dirac Fermions at Local Equilibrium

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-11T00:41:23.648175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:41:23.648175Z digest=sha256:ae2cca6e88a667f612e1e2792a2ba636c1c903aef2f3cf5af208ba1d3365625a

Observation f80ec251-9d9b-41a9-a532-3e7b9bc66fc0 · inbound

Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium cites this paper.

Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium Spin Polarization Formula for Dirac Fermions at Local Equilibrium

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-11T00:42:13.064137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:42:13.064137Z digest=sha256:9c2afc24bb87587d79b93aa78a5f4990cbc61429681ba0d69642e3985995a5b8

Observation 2ded3a29-1d83-46be-9455-df7ba6f22823 · inbound

Generalized relativistic second-order spin hydrodynamics from Zubarev's non-equilibrium statistical operator cites this paper.

Generalized relativistic second-order spin hydrodynamics from Zubarev's non-equilibrium statistical operator Spin Polarization Formula for Dirac Fermions at Local Equilibrium

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-16T04:16:16.051179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:16:16.051179Z digest=sha256:7da87f9a0f35b97fb7e564a9e753ea4f01b7e825417f386ce3ff608c36b67815

Observation ed4163b5-87d5-4f9c-9ed1-f00ef78753cf · inbound

An improved formula for Wigner function and spin polarization in a decoupling relativistic fluid at local thermodynamic equilibrium cites this paper.

An improved formula for Wigner function and spin polarization in a decoupling relativistic fluid at local thermodynamic equilibrium Spin Polarization Formula for Dirac Fermions at Local Equilibrium

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-04T16:34:04.105943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T16:34:04.105943Z digest=sha256:c062ef82ae8a85ba0fa1a99f80857bc6117fba5a706be607f275fea09beb45f0

Observation 2b0f59b2-b3b1-4bae-b1a1-4dbd66f59013 · inbound

Tensor spin polarization induced by curved freeze-out hypersurface cites this paper.

Tensor spin polarization induced by curved freeze-out hypersurface Spin Polarization Formula for Dirac Fermions at Local Equilibrium

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-04T15:18:24.234746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:18:24.234746Z digest=sha256:26501213ce548ac2659c0c94d1e86c50e58e97d81b0e96fd14291876c59d7200

Observation 27694fcc-10dd-48c7-80eb-1c4e5d665366 · inbound

Pseudo-Gauge Stabilizers and Fibration Structure of the Cooper--Frye Map at Freeze-Out cites this paper.

Pseudo-Gauge Stabilizers and Fibration Structure of the Cooper--Frye Map at Freeze-Out Spin Polarization Formula for Dirac Fermions at Local Equilibrium

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-01T21:46:15.070392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-28T16:28:22.136202Z digest=sha256:be12aaa62c96d43d270943d1ad5d46215d9140bde35bef90aa15d53d80016d9f