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Paper Citation Record · LEDGER

Phase transitions in generalized XY models

As of 21 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2608.04972.

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

pith.paper-citation-record.v1
2608.04972 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:42:13.644231Z

measured 27 of 27 standing notices

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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.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

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External citation measurements

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Outbound references

Observation f6aabd00-9fc9-4ddf-8e57-41edf4e025c4 · outbound

This paper cites Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models.

Phase transitions in generalized XY models Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 1014be10-501f-464e-946e-797c644d4033 · outbound

This paper cites Phase diagram of the ashkin– teller model.Communications in Mathematical Physics, 405(2):37, 2024.

Phase transitions in generalized XY models Phase diagram of the ashkin– teller model.Communications in Mathematical Physics, 405(2):37, 2024

Reference 2

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raw_fallback, observed 2026-08-06T12:42:13.928087Z

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Observation 1d1decd1-f1ca-4975-b095-bc8062a1bdf2 · outbound

This paper cites Competing nematic inter- actions in a generalized xy model in two and three dimensions.Physical Review E, 94(3):032140, 2016.

Phase transitions in generalized XY models Competing nematic inter- actions in a generalized xy model in two and three dimensions.Physical Review E, 94(3):032140, 2016

Reference 3

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raw_fallback, observed 2026-08-06T12:42:13.918513Z

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Observation 551be327-e0d9-47e9-a3ae-d4b31bd54080 · outbound

This paper cites The phase diagram of a generalised xy model.Journal of Physics: Condensed Matter, 1(30):4907, 1989.

Phase transitions in generalized XY models The phase diagram of a generalised xy model.Journal of Physics: Condensed Matter, 1(30):4907, 1989

Reference 4

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raw_fallback, observed 2026-08-06T12:42:13.909458Z

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source=pdf_text observed=2026-08-06T12:42:13.576732Z digest=sha256:ec207a688cd8433f2afab60c3c46dfd76693c5bfbd8245c008e8cb0e3f292356

Observation 3cece1d6-5ed2-4479-8fbb-590bf8a6f0f6 · outbound

This paper cites Upper bound on the decay of correlations in a general class of o (n)-symmetric models.Communications in Mathematical Physics, 332(3):1235–1255, 2014.

Phase transitions in generalized XY models Upper bound on the decay of correlations in a general class of o (n)-symmetric models.Communications in Mathematical Physics, 332(3):1235–1255, 2014

Reference 5

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raw_fallback, observed 2026-08-06T12:42:13.899780Z

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source=pdf_text observed=2026-08-06T12:42:13.579713Z digest=sha256:439226309292ffe697ccbd74c94d1a4c02ce6f76c6656925f51f08610e7b23f7

Observation a11fe68f-2032-4a29-a42b-9accd56e3baf · outbound

This paper cites General formulation of griffiths’ inequalities.Communications in math- ematical physics, 16:310–328, 1970.

Phase transitions in generalized XY models General formulation of griffiths’ inequalities.Communications in math- ematical physics, 16:310–328, 1970

Reference 6

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Observation c2437993-d190-4dc7-812e-5f40062c8182 · outbound

This paper cites Possible vortex splitting in the cuprate superconductors.

Phase transitions in generalized XY models Possible vortex splitting in the cuprate superconductors

Reference 7

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source=pdf_text observed=2026-08-06T12:42:13.586050Z digest=sha256:e974b628492bccc1dca1532442b7be82823665c70ccd5907122633891b0f5b98

Observation f6d4fbed-7987-4991-804c-2ead7cd036fb · outbound

This paper cites Stiffness jump in the generalized xy model on the square lattice.Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 87(6):062112, 2013.

Phase transitions in generalized XY models Stiffness jump in the generalized xy model on the square lattice.Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 87(6):062112, 2013

Reference 8

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

source=pdf_text observed=2026-08-06T12:42:13.589144Z digest=sha256:000a4fe2d767676332dd5fb377f1bdb0c3e4e43d42e8272a6c8e7471fb51805a

Observation f8762fdb-8aa1-49d8-a8f6-8c5f1cd5c231 · outbound

This paper cites Phase diagram of the modified xy model.Journal of Physics C: Solid State Physics, 19(23):4427, 1986.

Phase transitions in generalized XY models Phase diagram of the modified xy model.Journal of Physics C: Solid State Physics, 19(23):4427, 1986

Reference 9

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Observation 986573b3-5566-45e1-9e0c-1df9a5a4bdd1 · outbound

This paper cites Sequence of phase transitions induced in an array of josephson junc- tions by their crossover toπ-state.Europhysics Letters, 89(1):17004, 2010.

Phase transitions in generalized XY models Sequence of phase transitions induced in an array of josephson junc- tions by their crossover toπ-state.Europhysics Letters, 89(1):17004, 2010

Reference 10

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

source=pdf_text observed=2026-08-06T12:42:13.595482Z digest=sha256:1ae7e623be52935f41e1477c204cc44ced45fcc449b1a084bcdcf4e49fc40d9e

Observation 946995ac-20cf-440f-b6ea-e02229f0e70e · outbound

This paper cites Ordering, metastability and phase transitions in two-dimensional systems.Journal of Physics C: Solid State Physics, 6(7):1181, 1973.

Phase transitions in generalized XY models Ordering, metastability and phase transitions in two-dimensional systems.Journal of Physics C: Solid State Physics, 6(7):1181, 1973

Reference 11

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raw_fallback, observed 2026-08-06T12:42:13.852348Z

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

source=pdf_text observed=2026-08-06T12:42:13.598330Z digest=sha256:16d9325d8b91df82ced86c555b0d83b1a39cb49efdc8c96dc28b609427ab35d0

Observation a44aa940-ba53-4d02-aaa1-d9082a412a5b · outbound

This paper cites Height function delocalisation on cubic planar graphs.Probability Theory and Related Fields, 182(1):531–550, 2022.

Phase transitions in generalized XY models Height function delocalisation on cubic planar graphs.Probability Theory and Related Fields, 182(1):531–550, 2022

Reference 12

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source=pdf_text observed=2026-08-06T12:42:13.601433Z digest=sha256:9e205d11759634f26f88246698c254cd26681666558166cb9b26cd7e8114bf00

Observation 334656d0-aed5-4e79-ac02-e11ea3e940af · outbound

This paper cites Delocalisation and absolute-value-fkg in the solid- on-solid model: P.

Phase transitions in generalized XY models Delocalisation and absolute-value-fkg in the solid- on-solid model: P

Reference 13

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raw_fallback, observed 2026-08-06T12:42:13.833654Z

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

source=pdf_text observed=2026-08-06T12:42:13.604488Z digest=sha256:368c42a76193e876b150f5db92d687e22b024fe7d3d0c5bb6aac8722d571981a

Observation 0752aebe-60af-4a4a-9450-f2fb17c5dda1 · outbound

This paper cites Strings in two-dimensional classical xy models.Physical review letters, 55(5):541, 1985.

Phase transitions in generalized XY models Strings in two-dimensional classical xy models.Physical review letters, 55(5):541, 1985

Reference 14

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

source=pdf_text observed=2026-08-06T12:42:13.607338Z digest=sha256:c0df2eec1143abaa5c1eaa4be6bc027fa229c69604b3085f9b61b05c2c9f12fc

Observation 86548c7f-e5a0-4289-b6d9-61b90d53503b · outbound

This paper cites A refinement of simon’s correlation inequality.Communications in Mathematical Physics, 77(2):127–135, 1980.

Phase transitions in generalized XY models A refinement of simon’s correlation inequality.Communications in Mathematical Physics, 77(2):127–135, 1980

Reference 15

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source=pdf_text observed=2026-08-06T12:42:13.610174Z digest=sha256:c642cf7583a7900588a2bd03765f330e655cf8f97f81d8db4f0f0bfa7e11c893

Observation 38ee5ed5-2fab-4cb7-b635-dc8897e6dd2b · outbound

This paper cites On the decay of correlations in so (n)- symmetric ferromagnets.Communications in Mathematical Physics, 53(3):299–302, 1977.

Phase transitions in generalized XY models On the decay of correlations in so (n)- symmetric ferromagnets.Communications in Mathematical Physics, 53(3):299–302, 1977

Reference 16

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raw_fallback, observed 2026-08-06T12:42:13.805819Z

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source=pdf_text observed=2026-08-06T12:42:13.613514Z digest=sha256:d54701feda3f047bcb2a654fc62425cf225c168967255aa6085ca41640bc4cdf

Observation bd425dfc-fba3-48f1-8699-47c212a08e16 · outbound

This paper cites Correlation functions and boundary con- ditions in the ising ferromagnet.Journal of Statistical Physics, 17(4):245–262, 1977.

Phase transitions in generalized XY models Correlation functions and boundary con- ditions in the ising ferromagnet.Journal of Statistical Physics, 17(4):245–262, 1977

Reference 17

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source=pdf_text observed=2026-08-06T12:42:13.616153Z digest=sha256:38583225584a1571305778192d19a005253f985496e8bb821a5890a8d3a8d5c4

Observation dbc567d2-639b-4168-8947-eca6d952ba74 · outbound

This paper cites Lectures on the spin and loopo(n) models, 2019.

Phase transitions in generalized XY models Lectures on the spin and loopo(n) models, 2019

Reference 18

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raw_fallback, observed 2026-08-06T12:42:13.786467Z

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

source=pdf_text observed=2026-08-06T12:42:13.618969Z digest=sha256:f2a08c6ad6890981b76c6ac4a582720f732d17dbfe27075d0ff2948fd7165a56

Observation 4b6f8a68-9094-4359-8fb6-49861a5c667a · outbound

This paper cites Translation invariant equilibrium states of ferromagnetic abelian lattice systems.Communications in Mathematical Physics, 86(3):375–390, 1982.

Phase transitions in generalized XY models Translation invariant equilibrium states of ferromagnetic abelian lattice systems.Communications in Mathematical Physics, 86(3):375–390, 1982

Reference 19

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

source=pdf_text observed=2026-08-06T12:42:13.621848Z digest=sha256:2593e1405ff01ec0a9723cedf521aa4cc99a35972bfff1dd6ea4357a4cd8b4b4

Observation 82bf0974-d98b-4079-9165-1cd6d16b2c34 · outbound

This paper cites New ordered phases in a class of generalized xy models.Physical review letters, 106(6):067202, 2011.

Phase transitions in generalized XY models New ordered phases in a class of generalized xy models.Physical review letters, 106(6):067202, 2011

Reference 20

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source=pdf_text observed=2026-08-06T12:42:13.624934Z digest=sha256:1105941ce914d887fff1e0b87c13cda4a6e345f60ca72c87fc14036425e082f5

Observation 132420e9-8fb9-4a5e-981d-9b09d04a209c · outbound

This paper cites A comparison of plane rotor and ising models.Physics Letters, 1980.

Phase transitions in generalized XY models A comparison of plane rotor and ising models.Physics Letters, 1980

Reference 21

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source=pdf_text observed=2026-08-06T12:42:13.627583Z digest=sha256:0791b0c9c1d12c4905917a258556fafc9e72eb96d6684a47130f89a518ffd036

Observation ade64bbf-e89d-4430-b316-fe5752dc689c · outbound

This paper cites Correlation inequalities and the decay of correlations in ferromagnets.

Phase transitions in generalized XY models Correlation inequalities and the decay of correlations in ferromagnets

Reference 22

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raw_fallback, observed 2026-08-06T12:42:13.749279Z

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source=pdf_text observed=2026-08-06T12:42:13.630262Z digest=sha256:e9ba4676e7be3cd84303be95c4df441343d37fbe8909a1c3a8464f3d5a05f324

Observation 6e0917e0-6f29-4880-8447-e129a9083ecf · outbound

This paper cites On quantum spin chains and liquid crystal films.

Phase transitions in generalized XY models On quantum spin chains and liquid crystal films

Reference 23

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raw_fallback, observed 2026-08-06T12:42:13.738843Z

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source=pdf_text observed=2026-08-06T12:42:13.632999Z digest=sha256:26f5d6ed90d6e4cf38cb8e9c4ed47e5130de83b572bf224e8d4454053f6e4776

Observation e57b121d-948a-4c29-b41c-e54728f84d00 · outbound

This paper cites An elementary proof of phase transition in the planar xy model.Communications in Mathematical Physics, 399(1):85–104, 2023.

Phase transitions in generalized XY models An elementary proof of phase transition in the planar xy model.Communications in Mathematical Physics, 399(1):85–104, 2023

Reference 24

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raw_fallback, observed 2026-08-06T12:42:13.729526Z

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source=pdf_text observed=2026-08-06T12:42:13.635760Z digest=sha256:2823444fff8ef169ed17692ff8a3d9b6121687c82ede182641d42651f754e78f

Observation 621b8a48-0190-4ce6-a0b8-ba0810f05381 · outbound

This paper cites On the duality between height functions and continuous spin models.Probability and Mathematical Physics, 6(4):1291–1325, 2025.

Phase transitions in generalized XY models On the duality between height functions and continuous spin models.Probability and Mathematical Physics, 6(4):1291–1325, 2025

Reference 25

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raw_fallback, observed 2026-08-06T12:42:13.719792Z

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source=pdf_text observed=2026-08-06T12:42:13.638574Z digest=sha256:543595d46fb3396956266de8bba4c88f30e09a70f21f0cc0ad95d13bc28f88be

Observation 96e74758-53d7-415e-81aa-8f80be4ff620 · outbound

This paper cites Multiple phase transitions in the xy model with nematic-like couplings.

Phase transitions in generalized XY models Multiple phase transitions in the xy model with nematic-like couplings

Reference 26

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raw_fallback, observed 2026-08-06T12:42:13.709837Z

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

source=pdf_text observed=2026-08-06T12:42:13.641261Z digest=sha256:bde5724b2fc9e380573c72ec059b05e1138584da3e20eed7e309adc747e27237

Observation 31d31442-9250-4ef8-be72-57961e886fec · outbound

This paper cites Magnetic quasi-long-range ordering in nematic systems due to competition between higher-order couplings.Physical Review E, 97(5):052101, 2018.

Phase transitions in generalized XY models Magnetic quasi-long-range ordering in nematic systems due to competition between higher-order couplings.Physical Review E, 97(5):052101, 2018

Reference 27

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

source=pdf_text observed=2026-08-06T12:42:13.644231Z digest=sha256:8ede030dedc5f9efdb6b0952440bdc31c11b1a52d2982f333ce265233aa04cbe

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