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Paper Citation Record · LEDGER

Phase transitions in generalized XY models

As of 13 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 2026-08-12T06:34:41.77262+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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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 2026-08-12T06:34:41.77262+00:00.

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

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.573136Z digest=sha256:c4b8c9dab7bf1e852a66d0fc8b809001c82d67ce4b5fcea213b6fb19c2dfb6d9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.576732Z digest=sha256:4115b57a57ceff47fd339af8e6c3ccaf3493976b8015535baf792f94b08d6924

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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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.579713Z digest=sha256:3bda22d1637a885511c4f5dd1b0bb6cf73f9d3c569266ba683f856199115b178

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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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.586050Z digest=sha256:a7276d860adf12938c686d6252cbc21033b325374e21b4724fa303dd7d0b7908

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

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.589144Z digest=sha256:99f77d4a62989592893720dc1d650e79d42ee1c719a517fc4f0e0444226b2288

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 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.595482Z digest=sha256:a551af808ccadbfd610149c1d5bcd1b055306c44ab693ac91b0c262afb11d07a

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.598330Z digest=sha256:8a1e61f61d3d29c293e42b03d0cac88cb8b43aa65a7d4c927e65f6231b5d59a3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.601433Z digest=sha256:491e35603eab53bbf3ca819154766d6571d92424fcb0ffce455147a2c14a64b8

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.604488Z digest=sha256:8dc504120b3fc16dc5600e0dd11072a1826057b53d6ee76318fd9e44774744c3

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

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.607338Z digest=sha256:8fc40b24b50b88c9af767c70f85e739ad7be0a85f30c51c5ac5e856c59ce0e0c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.610174Z digest=sha256:97587c6a3c7bd050e46cc538a07a8b631bddb5b9db77e6863a673f44d4659268

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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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.613514Z digest=sha256:59d508f75c698d65cf0e13e3754938b9bd16282ce26faab571f713c4adbad489

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.616153Z digest=sha256:5fb54a17b07e9bacfb2f4ba873320f7c01443aa4568262645f0ad13cb845e8ab

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.618969Z digest=sha256:9dbc68a6b7fcf0247bd499c00946f5263044c69b3a13e17fcfd79b857c91d643

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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raw_fallback, observed 2026-08-06T12:42:13.777701Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.621848Z digest=sha256:e08586c6971bdac9499202c6de98a11cce27dbc08dddf2f6a0c1f00eb28a5498

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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raw_fallback, observed 2026-08-06T12:42:13.768133Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.624934Z digest=sha256:13fa5f449c92a0e27ad0234d549f6ff4db2542e20e42d7e4f3b5896ebae57845

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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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.627583Z digest=sha256:0c5ebd75eb39139497f60852fef9699d0ae2ab1abf85925c1a9b4f6ce915d452

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

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

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.630262Z digest=sha256:42a53eb2a92681e7bcc13647f7d6a3309de5c3207f2bbfdeb0aaed4555cf9b12

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.632999Z digest=sha256:72c9a413fd85d0971605b3ca4ec865813e7cb606b23e3e20c77322beb405728a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.635760Z digest=sha256:bfb24bafa6897549d79653c8afb78c9e09f403ce9b5cd89e92e54394d6608a7e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.638574Z digest=sha256:cfa2ba1716dd3dbe862fd5ee89a72951b7f03dd199da6c455bf659e7fea9a831

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.641261Z digest=sha256:4aaadf2408d6bc3476eb0a0d8f7e611ad02cf953336e86c80c62ebd6de743c54

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T12:42:13.644231Z digest=sha256:0bd693d59d823039594f95ee6b4cc1844e33f1921972b815d1303c64dd0c3d6e

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