Paper Citation Record · LEDGER

Hilbert Space Representation of the Minimal Length Uncertainty Relation

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 26 inbound Pith citation observations for arXiv:hep-th/9412167.

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

pith.paper-citation-record.v1
hep-th/9412167 v3

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measured 0 of 0 reference resolution

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measured 26 of 26 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 26 of 26 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:29:27.348121Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T20:08:55.081076Z

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Outbound references

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Pith citing papers

Observation 6e88b37f-7ecc-42b3-a385-39ea60132268 · inbound

UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox cites this paper.

UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 131

Resolution: verified exact; local_arxiv, observed 2026-05-23T18:08:17.861948Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 87b9ce4c-3f2a-4242-9852-d5054bedd047 · inbound

The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis cites this paper.

The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-12T18:29:27.348121Z

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Observation 08d83cbc-500d-4c0a-9e48-c0c1e0dbc7cb · inbound

From classical probability densities to quantum states: quantization of Gaussians for arbitrary orderings cites this paper.

From classical probability densities to quantum states: quantization of Gaussians for arbitrary orderings Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-12T15:43:34.393432Z

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Observation acf281db-a592-4726-a734-f18c084c9334 · inbound

Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics cites this paper.

Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-12T05:39:38.339726Z

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Observation 038c2ffc-f107-429a-a9d7-fdb8fa67e01e · inbound

Geometry of a generalized uncertainty-inspired spacetime cites this paper.

Geometry of a generalized uncertainty-inspired spacetime Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T18:29:37.972509Z

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Observation c0b3f3c1-4a5a-4d09-a85a-693b0e706424 · inbound

Discriminating between different modified dispersion relations from gamma-ray observations cites this paper.

Discriminating between different modified dispersion relations from gamma-ray observations Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T10:59:05.703052Z

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Observation 3dbeb67a-ba03-482e-8491-3bd9eb11396e · inbound

Generalized Uncertainty Principle mimicking dynamical Dark Energy: matter perturbations and gravitational wave data analysis cites this paper.

Generalized Uncertainty Principle mimicking dynamical Dark Energy: matter perturbations and gravitational wave data analysis Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T19:50:50.191311Z

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Observation 41654a29-e41c-4d94-9b47-d9ad9253dfd3 · inbound

Pseudo-Complex Gravity as a Geometric Resolution of the Black Hole Information Paradox cites this paper.

Pseudo-Complex Gravity as a Geometric Resolution of the Black Hole Information Paradox Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T22:27:26.269622Z

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Observation b699c4e2-c078-40ca-a837-2eff81504686 · inbound

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric cites this paper.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T05:42:29.632558Z

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Observation 26d36860-8e6e-4f5c-b6b6-bf50773b9936 · inbound

Classical Polymerization of the Bianchi I Model with Deformed Poisson Structure cites this paper.

Classical Polymerization of the Bianchi I Model with Deformed Poisson Structure Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T11:18:08.531442Z

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Observation f609c3e5-5a42-4845-95a3-02526585024f · inbound

Observational constraints on the modified cosmology inspired by string T-duality cites this paper.

Observational constraints on the modified cosmology inspired by string T-duality Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-04T09:19:45.056804Z

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Observation 90f99d60-d7a0-45c8-b36a-37bcc494ce17 · inbound

Canonical form of a deformed Poisson bracket spacetime cites this paper.

Canonical form of a deformed Poisson bracket spacetime Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-05-17T05:19:04.743518Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation be68b8e3-e80a-44a8-9796-d43e72d4a6d1 · inbound

Combining the Generalized and Extended Uncertainty Principles cites this paper.

Combining the Generalized and Extended Uncertainty Principles Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T04:04:25.199630Z

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Observation 360a9f34-3ab1-4ba6-bbba-fbdbc75133d6 · inbound

Dymnikova-Schwinger quantum-corrected slowly rotating wormholes: Photon and spinning particle dynamics cites this paper.

Dymnikova-Schwinger quantum-corrected slowly rotating wormholes: Photon and spinning particle dynamics Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-13T16:52:59.873823Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4d2ed676-26fe-45df-bb0e-e0a181b6fe27 · inbound

Effective Improved-GUP Cosmology: Emergent FLRW Universe without a Bounce cites this paper.

Effective Improved-GUP Cosmology: Emergent FLRW Universe without a Bounce Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:20:54.123333Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 13f2a13b-5e91-4a25-a7a9-a47f3296cf51 · inbound

Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle cites this paper.

Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-11T06:00:56.685510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4e972510-b05b-4476-bc34-984223dcb1db · inbound

Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime cites this paper.

Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 140

Resolution: verified exact; arxiv_id, observed 2026-05-10T10:29:25.402251Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d1ca7833-8356-4780-a0f2-2a89093a2edd · inbound

Uncertainty Principles and Maximum Entropic Force cites this paper.

Uncertainty Principles and Maximum Entropic Force Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-11T02:50:55.454686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 77b8a8ee-b944-4472-b97d-baaf1244f058 · inbound

Chaos and epoch structure in the deformed Mixmaster universe cites this paper.

Chaos and epoch structure in the deformed Mixmaster universe Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-13T04:37:15.750127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b935f9f7-9598-46cd-8169-eea29ecab3ae · inbound

Natural modification of quantum uncertainty, modified gravity, and cosmology cites this paper.

Natural modification of quantum uncertainty, modified gravity, and cosmology Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-05-20T09:43:10.922734Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 027779f7-7061-4056-803a-ff5de2fcc88d · inbound

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

Kinematical correlations via $\kappa$-Poincar\'e coproducts Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-07-02T04:06:35.612483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bf3b30ac-1130-4300-be2f-692acfc4b0dc · inbound

Macroscopic Black-Hole Remnants in a Nonlocal Field Theory: Towards Hawking Radiation in SFT cites this paper.

Macroscopic Black-Hole Remnants in a Nonlocal Field Theory: Towards Hawking Radiation in SFT Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 91

Resolution: unresolved; no resolver link, observed 2026-07-12T13:16:14.393157Z

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Observation 35d81e78-b128-45d2-be10-23b5e62563c8 · inbound

Rethinking quantum information in gravity and fields cites this paper.

Rethinking quantum information in gravity and fields Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 207

Resolution: verified exact; local_arxiv, observed 2026-07-01T01:15:12.725790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 13bcf49d-1f3b-4011-bb81-562ec9ea6c00 · inbound

Coherent states in minimal-length Quantum Mechanics: inequivalent characterizations and emergent squeezing cites this paper.

Coherent states in minimal-length Quantum Mechanics: inequivalent characterizations and emergent squeezing Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-07-03T20:08:55.083380Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d700088e-8476-405a-a6f5-59111641678e · inbound

Late-Time Cosmological Tests of a Minisuperspace Generalized-Uncertainty-Principle Deformation cites this paper.

Late-Time Cosmological Tests of a Minisuperspace Generalized-Uncertainty-Principle Deformation Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T01:40:50.812280Z

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Unavailable: canonical work link unavailable.

Observation ad914155-7106-43f5-9bd7-2e12f6de206c · inbound

Late-Time Cosmological Tests of a Minisuperspace Generalized-Uncertainty-Principle Deformation cites this paper.

Late-Time Cosmological Tests of a Minisuperspace Generalized-Uncertainty-Principle Deformation Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T01:51:28.517959Z

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Unavailable: canonical work link unavailable.