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Paper Citation Record · LEDGER

Polar Form of the Dirac Operator in Low-Dimensional Space-Times

As of 13 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2607.14752.

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

pith.paper-citation-record.v1
2607.14752 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T01:19:54.678582Z

measured 10 of 10 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

10 of 10 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f20abc26-1e84-4439-aec3-a8d0d6718285 · outbound

This paper cites Introduction des paramètres relativistes de Cayley-Klein dans la représentation hydrodynamique de l’équation de Dirac.

Polar Form of the Dirac Operator in Low-Dimensional Space-Times Introduction des paramètres relativistes de Cayley-Klein dans la représentation hydrodynamique de l’équation de Dirac

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T01:19:54.630818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:19:54.630818Z digest=sha256:1cdb3045387fc6af3d51c05b25e66a0eba8fd3372df5eabeff9ee8ce45e59710

Observation bb1e7a90-c6bb-41a2-a4d0-3c4043358618 · outbound

This paper cites Decomposition en paramètres de Clebsch de l’impulsion de Dirac et interprétation physique de l’invariance de jauge des équations de la Mécanique ondulatoire.

Polar Form of the Dirac Operator in Low-Dimensional Space-Times Decomposition en paramètres de Clebsch de l’impulsion de Dirac et interprétation physique de l’invariance de jauge des équations de la Mécanique ondulatoire

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T01:19:54.636269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:19:54.636269Z digest=sha256:37006a5d2fe18f7158bfcdcb20cbda81634a95f94e29610514342e57116af1e3

Observation 6bbc5751-06e1-4654-b602-ba761c09c772 · outbound

This paper cites Covariant inertial forces for spinors.

Polar Form of the Dirac Operator in Low-Dimensional Space-Times Covariant inertial forces for spinors

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T01:19:54.641784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:19:54.641784Z digest=sha256:fc8c87e80b7234ccabea2943044784f68995838682bdb0b566214f6b5afed968

Observation 599869c4-ab62-416f-b763-753dd5a90b12 · outbound

This paper cites Classical characters of spinor fields in torsion gravity.

Polar Form of the Dirac Operator in Low-Dimensional Space-Times Classical characters of spinor fields in torsion gravity

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T01:19:54.646999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:19:54.646999Z digest=sha256:233f21323f660f93137e81a1e65d431aebd0589e35734c31e04531581ca0cc52

Observation 9a42df29-86ab-4cce-a29a-5997376c448f · outbound

This paper cites Theta terms in nonlinear sigma models.

Polar Form of the Dirac Operator in Low-Dimensional Space-Times Theta terms in nonlinear sigma models

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T01:19:54.651624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:19:54.651624Z digest=sha256:aaeb297d58b5b57576ddd1d6c6f37e857bb61d3a3d06c18feec5be5b9776b930

Observation 4f6fe247-9528-45b8-9e67-6e61a1421c43 · outbound

This paper cites The Euler current and relativistic parity odd transport.

Polar Form of the Dirac Operator in Low-Dimensional Space-Times The Euler current and relativistic parity odd transport

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T01:19:54.659325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:19:54.659325Z digest=sha256:432b0be2c81424c87178d59eb4fbb275f8f4568636fde654a383dd158932ad52

Observation 0f20ed7e-a443-4c20-adb9-782a8a859d76 · outbound

This paper cites The Structure of Gauge and Gravitational Anomalies.

Polar Form of the Dirac Operator in Low-Dimensional Space-Times The Structure of Gauge and Gravitational Anomalies

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T01:19:54.664171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:19:54.664171Z digest=sha256:2d7f3e2b42bf46c7f678c2368c5b7b653e5fe9e8fd4a353dffcadccb34292801

Observation 428cfc14-51fc-4139-a630-6f00ce64d768 · outbound

This paper cites Euler and Pontryagin currents of the Dirac operator.

Polar Form of the Dirac Operator in Low-Dimensional Space-Times Euler and Pontryagin currents of the Dirac operator

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T01:19:54.668916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:19:54.668916Z digest=sha256:7df521386d16527152068d39c4632d9e145740bfa501a27d01ca77ca9264f5f2

Observation 018c2e54-b70a-4463-b7e0-6b8a0ba39248 · outbound

This paper cites Reductive G-structures and Lie derivatives.

Polar Form of the Dirac Operator in Low-Dimensional Space-Times Reductive G-structures and Lie derivatives

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T01:19:54.673608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:19:54.673608Z digest=sha256:bada960509b36b51dbf3acbce3349dfcbaaea09f1355f8d8eabadc69382f08e1

Observation d05a2a33-8d90-4e49-a44e-f6ac427e196b · outbound

This paper cites Polar form of Dirac fields: implementing symmetries via Lie derivative.

Polar Form of the Dirac Operator in Low-Dimensional Space-Times Polar form of Dirac fields: implementing symmetries via Lie derivative

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T01:19:54.678582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:19:54.678582Z digest=sha256:bee34999d1b39ab6e5f8afae88935ed74af98890cff39611c6c0d8082bccaae5

Pith citing papers

No inbound Pith citation observations are available.