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Paper Citation Record · LEDGER

Phase transitions in generalized XY models

As of 11 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 2026-08-11T06:34:44.6726+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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no resolver link, observed 2026-08-06T12:42:13.566436Z

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.569999Z digest=sha256:a0a93d20ccf919cd8fe78cf6becfe9c2aa1f40644a42af6615a77e8ac9e83a33

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.573136Z digest=sha256:c82cacc75935eaa01b181ed3225327b1012a6a6d016f61f1eb1547f2c3594840

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.576732Z digest=sha256:11347f9b4ea4b1e07bc942afe32735ae9d013a858aa56c93b461c31e761b5f08

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.579713Z digest=sha256:b3078851012ca32ee24a1ba08432888c13f1fc925c47bc9632b8ed47e792472a

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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source=pdf_text observed=2026-08-06T12:42:13.582664Z digest=sha256:667cca5847255e3fae7e65638ad2d465a2093b5ab1080a69091005230993dfc4

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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local_arxiv, observed 2026-08-06T12:42:13.678508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.586050Z digest=sha256:713f01543646e22c4d70c039c7d20438c10044b7369321a41bc07e64470ea009

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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verified fuzzy
raw_fallback, observed 2026-08-06T12:42:13.880937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.589144Z digest=sha256:eec08e639e1cb9c28d6cc6b10b7f0e1190c640cbae7f6a885c0fb41b537edc66

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.592392Z digest=sha256:a146d9dcabac016f832f3efb6322a52fe47be1aa912a568959fa7463a7b85200

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.595482Z digest=sha256:2e5f24ec53a1047fba0958ee80d49e25c2476e384246c8b11c05146ce3384a23

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.598330Z digest=sha256:70dec6fca8578050afb216ba351b13eca98ad694155f20450b1714ee673e4dbe

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.601433Z digest=sha256:2752661923b428559776e63558f725f14d65c6d31775185cff317e597234cc97

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.604488Z digest=sha256:c582755e8c88784ed70c86f5e008c01b71411a3d7945e849d82b9337c28c13b6

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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verified fuzzy
raw_fallback, observed 2026-08-06T12:42:13.824797Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.607338Z digest=sha256:74398979e18aad4fbee9eb9cd8ad280d3911bd6da3a5063a0e23e0a61c19484e

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.610174Z digest=sha256:edb31a3db868beee9f5e37bc5637d73ca85a837ce9d275244eb124809d5cd748

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.613514Z digest=sha256:4b4cd4acbd080e840a87ba101822f9cf5194c5aec608ac7a485fba7b0f063ab0

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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raw_fallback, observed 2026-08-06T12:42:13.795986Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.616153Z digest=sha256:51091c313d84a23cb15885cd9f1e2e029a7bcd936762d7756ab0d5dee5c9af4c

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.618969Z digest=sha256:0bde25acbd1bc2d31e3f0b96706018e4f071cc3837de8b62933fe0c737fe3c06

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.621848Z digest=sha256:85336452586361d9c6e0471d2e9a917a55093e754e3ca66e13c9029570d1c6a1

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.624934Z digest=sha256:ca66b3daaed4c27c22c7f7838dd00b50ab447ca4e1a903a8dd6780e8c65096d0

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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raw_fallback, observed 2026-08-06T12:42:13.758968Z

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source=pdf_text observed=2026-08-06T12:42:13.627583Z digest=sha256:90a081ba318f4b10999e8faeb00b282492ea8e7f21eaa9e7b62c240ec5091598

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.630262Z digest=sha256:399ef3313703e60c195837ba2133dd041247b769d89aec14a4c38a99b957b9f2

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.632999Z digest=sha256:7307766dd585f81eab91d2fdc043908a30dc6f0a6de88489b65e5729352affb4

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.635760Z digest=sha256:eaf3aaf455094e1487265197c3ff4938ded8c800d5f71ab615df1794929fa3b2

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.638574Z digest=sha256:da2f99ac8bc90e6dbba27eeeb7842e3c410baf03576b45ef5eace441d4bf13e4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.641261Z digest=sha256:98d89f995bafb89d0cf71fc3ae86d953a63573658178e2a4e7e77595b8b4de01

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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raw_fallback, observed 2026-08-06T12:42:13.699646Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T12:42:13.644231Z digest=sha256:cdb922b463639b8a29fd0979c308d0e8b1f62d8901007b3b3eaa7c746bf6cab5

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