Paper Citation Record · LEDGER

Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:gr-qc/0012051.

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

pith.paper-citation-record.v1
gr-qc/0012051 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:37:19.577647Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T04:06:35.591792Z

Reference resolution

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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 e21df0db-ca67-4dbb-be11-b43fb39a24e3 · inbound

Polymer Geodesic Motion in Schwarzschild Spacetime cites this paper.

Polymer Geodesic Motion in Schwarzschild Spacetime Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T05:37:19.577647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a4d600b-6020-4f6f-b843-2ffcaa723dcd · inbound

Transverse relative locality effects in de Sitter spacetime cites this paper.

Transverse relative locality effects in de Sitter spacetime Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:10.816068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc0a301a-fa29-46d9-b744-9c9e11397c80 · inbound

Lorentz Violation in Emergent Gravity and Its Cosmological Consequences cites this paper.

Lorentz Violation in Emergent Gravity and Its Cosmological Consequences Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T19:55:30.126341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c35608c-0e34-41b5-8187-7a9919899b4b · inbound

Fermi Acceleration Mechanisms Beyond Lorentz Symmetry cites this paper.

Fermi Acceleration Mechanisms Beyond Lorentz Symmetry Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T12:04:09.672413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 791cdc26-20d7-4570-be17-43a1c5d3f991 · inbound

Geometric structure of the relativistic quantum phase space cites this paper.

Geometric structure of the relativistic quantum phase space Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T17:13:02.808351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67450644-8162-48c8-8e27-2a56132b7c07 · inbound

Generalized relative locality and causal sets cites this paper.

Generalized relative locality and causal sets Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Reference 28

Resolution: malformed identifier; arxiv_id, observed 2026-05-10T06:31:30.649180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bddc6a7b-5f3b-4fc4-96c5-af11b0b9deaa · inbound

On the Consistency of Covariant Light-Speed Variation in Doubly Special Relativity cites this paper.

On the Consistency of Covariant Light-Speed Variation in Doubly Special Relativity Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:11:10.338333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4700d7c7-7620-4535-b119-605ecc7bb4e8 · inbound

Kinematical correlations via $\kappa$-Poincar\'e coproducts cites this paper.

Kinematical correlations via $\kappa$-Poincar\'e coproducts Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-07-02T04:06:35.593047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation da5f1128-0d71-4413-8cac-9f5b32bbb440 · inbound

A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics cites this paper.

A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-14T10:35:03.122760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e4d5013-4873-4375-ad58-8b37299c7c15 · inbound

A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics cites this paper.

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T07:21:19.828212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation faf039a5-2a2d-4a30-98a8-c1f00f96bc2c · inbound

Prism Effect in Quantum Gravity cites this paper.

Prism Effect in Quantum Gravity Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T06:17:34.170769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb964bb1-95e1-4f84-9858-75880ee81425 · inbound

Dynamical Baryogenesis in Rainbow Cosmology cites this paper.

Dynamical Baryogenesis in Rainbow Cosmology Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T05:28:34.085844Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f37e7bf0-f168-437e-9cd4-a031f4bc0495 · inbound

Modified electron dispersion relations in degenerate white dwarfs cites this paper.

Modified electron dispersion relations in degenerate white dwarfs Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T10:51:56.155166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.