Paper Citation Record · LEDGER

Golden and Metallic Structures on Hessian Manifolds

As of 12 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2606.02150.

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

pith.paper-citation-record.v1
2606.02150 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T18:33:22.621166Z

measured 26 of 26 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 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: pith, observed 2026-07-27T21:21:09.871182Z

Reference resolution

26 of 26 outbound references displayed

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unresolved26
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External citation measurements

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Outbound references

Observation 6f6c6961-cdb5-44d2-89af-e3ce530ae5c4 · outbound

This paper cites an unresolved cited work.

Golden and Metallic Structures on Hessian Manifolds Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9524d0e8-3ffa-488e-94e4-ca6151387be2 · outbound

This paper cites Electron.

Golden and Metallic Structures on Hessian Manifolds Electron

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51d08084-3d82-43a0-ad54-2e91e6dd66e3 · outbound

This paper cites A., Perween, A.,A Comprehensive Review of Golden Riemannian Mani- folds, Axioms 13(10), (2024), 724.

Golden and Metallic Structures on Hessian Manifolds A., Perween, A.,A Comprehensive Review of Golden Riemannian Mani- folds, Axioms 13(10), (2024), 724

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

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Observation 0d0ddc2c-c7e6-434e-a62e-ef473dd4d48c · outbound

This paper cites et al.,Quantum criticality in an Ising chain: experimental evidence for emergentE 8 sym- metry, ScienceVol 327, Issue 5962 (2010), 177-180.

Golden and Metallic Structures on Hessian Manifolds et al.,Quantum criticality in an Ising chain: experimental evidence for emergentE 8 sym- metry, ScienceVol 327, Issue 5962 (2010), 177-180

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4d136b2-4abc-4efa-ab09-2ebdc295b7a4 · outbound

This paper cites E.,Golden differential geometry, Chaos Solitons Fractals 38 (2008), 1229–1238.

Golden and Metallic Structures on Hessian Manifolds E.,Golden differential geometry, Chaos Solitons Fractals 38 (2008), 1229–1238

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbc704f8-6c64-49eb-86fd-406493365d4c · outbound

This paper cites and Moody, R.

Golden and Metallic Structures on Hessian Manifolds and Moody, R

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4556572b-24a3-4210-8249-e99839b31493 · outbound

This paper cites an unresolved cited work.

Golden and Metallic Structures on Hessian Manifolds Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 055cb9cc-b340-45fd-81f3-95268eb3239e · outbound

This paper cites an unresolved cited work.

Golden and Metallic Structures on Hessian Manifolds Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03608c09-b777-4901-bce1-8d41931dce5b · outbound

This paper cites I., Yano, K.,Polynomial structures on manifolds, Kodai Math.

Golden and Metallic Structures on Hessian Manifolds I., Yano, K.,Polynomial structures on manifolds, Kodai Math

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

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Unavailable: canonical work link unavailable.

Observation c7484bf1-d693-4b02-ad03-aeee8c285e80 · outbound

This paper cites E., Cr˘ a¸ smareanu, M.,On some invariant submanifolds in a Riemannian manifold with golden structure, An.

Golden and Metallic Structures on Hessian Manifolds E., Cr˘ a¸ smareanu, M.,On some invariant submanifolds in a Riemannian manifold with golden structure, An

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a21e5360-93ab-45a6-bb9b-73a45161fae7 · outbound

This paper cites an unresolved cited work.

Golden and Metallic Structures on Hessian Manifolds Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

Source-reported events for the cited work

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Observation 95de9233-e572-4db6-af09-d48a4e6b481f · outbound

This paper cites an unresolved cited work.

Golden and Metallic Structures on Hessian Manifolds Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

Source-reported events for the cited work

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Observation 428b541f-5346-4fce-830b-7d119c0aa1b5 · outbound

This paper cites an unresolved cited work.

Golden and Metallic Structures on Hessian Manifolds Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

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Observation 9279dabf-7ea6-4f0f-9543-c23117c2c668 · outbound

This paper cites an unresolved cited work.

Golden and Metallic Structures on Hessian Manifolds Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

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Observation f5e39701-27be-40c8-b826-1c983854f4cd · outbound

This paper cites an unresolved cited work.

Golden and Metallic Structures on Hessian Manifolds Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

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Observation 015d0a08-c572-46b1-955e-d40f95ba540c · outbound

This paper cites an unresolved cited work.

Golden and Metallic Structures on Hessian Manifolds Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

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Observation b536accb-2eca-4cf9-9bc4-3e6d58c070d8 · outbound

This paper cites W.,On characterization of the onset to chaos, Chaos Solitons Fractals 8(10) (1997), 1631–1643.

Golden and Metallic Structures on Hessian Manifolds W.,On characterization of the onset to chaos, Chaos Solitons Fractals 8(10) (1997), 1631–1643

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

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Unavailable: canonical work link unavailable.

Observation d827034c-3d3b-4363-ad5a-d9b41f1efa34 · outbound

This paper cites W.,The Metallic Means family and multifractal spectra, Nonlinear Analysis 36 (1999), 721–745.

Golden and Metallic Structures on Hessian Manifolds W.,The Metallic Means family and multifractal spectra, Nonlinear Analysis 36 (1999), 721–745

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0af410c-b245-40c6-8ed9-f23b23b423d1 · outbound

This paper cites W.,The metallic means family and renormalization group techniques, Proc.

Golden and Metallic Structures on Hessian Manifolds W.,The metallic means family and renormalization group techniques, Proc

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

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Unavailable: canonical work link unavailable.

Observation e262c27f-06ad-46cc-8d0a-1a0d0b05a361 · outbound

This paper cites P.,The generalized golden proportions, a new theory of real numbers, and ternary mirror- symmetrical arithmetic, Chaos Solitons Fractals 33(2) (2007), 315–334.

Golden and Metallic Structures on Hessian Manifolds P.,The generalized golden proportions, a new theory of real numbers, and ternary mirror- symmetrical arithmetic, Chaos Solitons Fractals 33(2) (2007), 315–334

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 413f6280-5cab-49e7-81ed-aaab1fa0b53c · outbound

This paper cites an unresolved cited work.

Golden and Metallic Structures on Hessian Manifolds Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5a74c34-f544-4f6a-8837-0d2986e9d639 · outbound

This paper cites and Zlatanovi´ c, M.,Uniqueness of the Canonical Reciprocal Cost, Mathematics14(2026),.

Golden and Metallic Structures on Hessian Manifolds and Zlatanovi´ c, M.,Uniqueness of the Canonical Reciprocal Cost, Mathematics14(2026),

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

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Observation c4a79cfb-95d9-4a23-a67b-adee4baa246f · outbound

This paper cites and Zlatanovi´ c, M., Allahyarov, E.,The D’Alembert Inevitability Theorem, Mathematics 14(2026), 1386.

Golden and Metallic Structures on Hessian Manifolds and Zlatanovi´ c, M., Allahyarov, E.,The D’Alembert Inevitability Theorem, Mathematics 14(2026), 1386

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

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Observation c2e60265-8b9a-4a19-8f86-328245a8611b · outbound

This paper cites an unresolved cited work.

Golden and Metallic Structures on Hessian Manifolds Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

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Unavailable: canonical work link unavailable.

Observation 25302199-2819-4cbe-8657-4c0e19353762 · outbound

This paper cites an unresolved cited work.

Golden and Metallic Structures on Hessian Manifolds Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a133f204-30a4-4dc4-8902-811d1a3f1e00 · outbound

This paper cites an unresolved cited work.

Golden and Metallic Structures on Hessian Manifolds Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-14T18:33:22.621166Z

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Pith citing papers

No inbound Pith citation observations are available.