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Paper Citation Record · LEDGER

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features

As of 21 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2505.16843.

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

pith.paper-citation-record.v1
2505.16843 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:01:59.801071Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

36 of 36 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8d0f4e02-86f9-4a4a-861d-9c7d0ad6b63f · outbound

This paper cites Rounding effects of quenched randomness on first-order phase transitions.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Rounding effects of quenched randomness on first-order phase transitions

Reference 1

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Observation 85f4a22f-8917-48d5-9860-a8d50d35219c · outbound

This paper cites On the number of ground states of the edwards–anderson spin glass model.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features On the number of ground states of the edwards–anderson spin glass model

Reference 2

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Observation 9fe64795-0b7d-4a19-8ed2-5664dc405a9f · outbound

This paper cites Uniqueness of ground states for short-range spin glasses in the half-plane.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Uniqueness of ground states for short-range spin glasses in the half-plane

Reference 3

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Observation f7c486c0-82dd-4786-9a02-01e4af4ba2cd · outbound

This paper cites On properties of parisi measures.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features On properties of parisi measures

Reference 4

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Observation 8866b3e9-b938-48a9-a90c-03c379e48a94 · outbound

This paper cites Upper and Lower Bounds for the Correlation Length of the Two-Dimensional Random-Field Ising Model.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Upper and Lower Bounds for the Correlation Length of the Two-Dimensional Random-Field Ising Model

Reference 5

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Observation b332d379-ba35-452e-9bae-f59b93c234fe · outbound

This paper cites Bovier, Statistical Mechanics of Disordered Systems.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Bovier, Statistical Mechanics of Disordered Systems

Reference 6

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Observation d6aab5fa-9736-4358-b9aa-efa6cb88826d · outbound

This paper cites The two-dimensional continuum random field Ising model.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features The two-dimensional continuum random field Ising model

Reference 7

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Observation b5726dcf-8310-4930-9b8c-8ada82c54c0c · outbound

This paper cites Features of a spin glass in the random field ising model.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Features of a spin glass in the random field ising model

Reference 8

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Observation 7023717f-1d84-4ee0-93dc-46d8161f0a3f · outbound

This paper cites On the free energy of vector spin glasses with nonconvex interactions.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features On the free energy of vector spin glasses with nonconvex interactions

Reference 9

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Observation 747b0995-83ef-41d8-bb90-3e57a0056f10 · outbound

This paper cites Continuity of the extremal decomposition of the free state for finite-spin models on Cayley trees.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Continuity of the extremal decomposition of the free state for finite-spin models on Cayley trees

Reference 10

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Observation 0963a42b-b875-4f35-94a8-78e20a29525e · outbound

This paper cites Extremal decomposition for random gibbs measures: From general metastates to metastates on extremal random gibbs measures.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Extremal decomposition for random gibbs measures: From general metastates to metastates on extremal random gibbs measures

Reference 11

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Observation f9178253-94e5-4f11-82ec-032954616b45 · outbound

This paper cites Quantitative disorder effects in low-dimensional spin systems.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Quantitative disorder effects in low-dimensional spin systems

Reference 12

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verified exact
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Observation 82d339c0-d80e-41d5-9cce-029f4ea5a742 · outbound

This paper cites Distances of Probability Measures and Random Variables.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Distances of Probability Measures and Random Variables

Reference 13

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Observation 5a3e0339-437a-4256-9b5e-fb83722fd4a1 · outbound

This paper cites Durrett, Probability.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Durrett, Probability

Reference 14

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Observation baafafc3-fcfe-4092-babb-8438bc0b6c91 · outbound

This paper cites Theory of spin glasses.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Theory of spin glasses

Reference 15

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Observation b9ec6994-9843-4966-84dc-420683ed6b16 · outbound

This paper cites On Long Range Ising Models with Random Boundary Conditions.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features On Long Range Ising Models with Random Boundary Conditions

Reference 16

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Observation c7318771-3ff3-43fe-8fbc-a18b18dc93f8 · outbound

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$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Unresolved cited work

Reference 17

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Observation 970d1c2d-9474-4175-9a4e-4a403832d693 · outbound

This paper cites On the rate of convergence in the multivariate clt.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features On the rate of convergence in the multivariate clt

Reference 18

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Observation c10dca0f-0783-4bb5-9a35-61a3031af9ca · outbound

This paper cites Metastates in finite-type mean-field models: Visibility, invisibility, and random restoration of symmetry.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Metastates in finite-type mean-field models: Visibility, invisibility, and random restoration of symmetry

Reference 19

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Observation 4cc86a07-b5a0-4240-9adb-168fa0ee894f · outbound

This paper cites Kallenberg, Random Measures, Theory and Applications.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Kallenberg, Random Measures, Theory and Applications

Reference 20

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Observation 51e55d34-07ca-47f1-a958-c62e0d085ad9 · outbound

This paper cites The Limit Points of a Normalized Random Walk.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features The Limit Points of a Normalized Random Walk

Reference 21

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Observation 8aba5a64-3d8b-4535-afce-9f82e5507453 · outbound

This paper cites Klenke, Probability Theory.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Klenke, Probability Theory

Reference 22

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Observation 1bb402a3-9bbe-449a-aa1a-282691ff1ff5 · outbound

This paper cites Infinite volume gibbs states and metastates of the random field mean-field spherical model.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Infinite volume gibbs states and metastates of the random field mean-field spherical model

Reference 23

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Observation 0db720fb-167c-42d1-a0f1-f59edf4f7f34 · outbound

This paper cites Metastates in disordered mean-field models: Random field and hopfield models.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Metastates in disordered mean-field models: Random field and hopfield models

Reference 24

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verified exact
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Observation 50f7c852-f07e-4430-b353-07791e3019d7 · outbound

This paper cites A partition of the unit sphere into regions of equal area and small diameter.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features A partition of the unit sphere into regions of equal area and small diameter

Reference 25

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Observation 43e7b6f5-78c5-48e8-8905-e380d4189805 · outbound

This paper cites Functional limit theorems for random walks.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Functional limit theorems for random walks

Reference 26

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Observation 70003c9c-db6f-47db-a6e6-3f7f9655bb15 · outbound

This paper cites WORLD SCIENTIFIC, Nov.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features WORLD SCIENTIFIC, Nov

Reference 27

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Observation 265ae482-28f0-443d-bcac-d8ac7c22208d · outbound

This paper cites Metastates and Replica Symmetry Breaking.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Metastates and Replica Symmetry Breaking

Reference 28

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 51f64f89-35d4-40c6-98a1-a22ba100d0c2 · outbound

This paper cites Metastate approach to thermodynamic chaos.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Metastate approach to thermodynamic chaos

Reference 29

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Observation 95468cb9-383d-486f-99bd-5ad76dee1d23 · outbound

This paper cites Panchenko, The Sherrington-Kirkpatrick Model.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Panchenko, The Sherrington-Kirkpatrick Model

Reference 30

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Observation 10374dfb-7566-420a-a15b-9cf33fdaec8e · outbound

This paper cites Rudin, Real and complex analysis.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Rudin, Real and complex analysis

Reference 31

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Observation 9f767486-75a4-4442-8be9-5f62b0511680 · outbound

This paper cites Solvable model of a spin-glass.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Solvable model of a spin-glass

Reference 32

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Unavailable: canonical work link unavailable.

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Observation f3382d9c-5f3f-4108-9067-d72eedc3a7e1 · outbound

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$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Unresolved cited work

Reference 33

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Observation 499e442d-61df-40bb-a789-3572f083f115 · outbound

This paper cites The parisi formula.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features The parisi formula

Reference 34

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Source-reported events for the cited work

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Observation 134c005a-dd10-4f70-93b0-a019aec11c8d · outbound

This paper cites Talagrand, Mean Field Models for Spin Glasses.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Talagrand, Mean Field Models for Spin Glasses

Reference 35

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Observation 44df364c-d16f-40fc-bc0e-0c4d17014e8a · outbound

This paper cites Available: http://dx.doi.org/10.1142/0271.

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features Available: http://dx.doi.org/10.1142/0271

Reference 271

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Pith citing papers

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