Paper Citation Record · LEDGER

The Lee-Yang property of the Blume-Capel model

As of 14 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2607.16958.

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

pith.paper-citation-record.v1
2607.16958 v1

Coverage vector

measured 64 of 64 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T19:37:24.207088Z

measured 65 of 65 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

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Source: paper_references, paper_reference_links, observed 2026-08-01T19:37:18.803610Z

measured 0 of 1 external citation measurements

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Outbound references

Observation 229e556d-5503-43bd-aae6-d06defc3ae46 · outbound

This paper cites However, other discrete inﬁnite structures are used as the underlying sets of such models.

The Lee-Yang property of the Blume-Capel model However, other discrete inﬁnite structures are used as the underlying sets of such models

Reference 1

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Observation de5aecae-cea4-46c8-a5f2-0049d1527732 · outbound

This paper cites The Lee-Yang property of the Blume-Capel model.

The Lee-Yang property of the Blume-Capel model The Lee-Yang property of the Blume-Capel model

Reference 2

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Observation a3fb06fa-b81f-4961-a80b-577b4b6bb438 · outbound

This paper cites ( 2), ZN (h) = Ξ N (eh) (3) lie on the imaginary axis of the complex plane.

The Lee-Yang property of the Blume-Capel model ( 2), ZN (h) = Ξ N (eh) (3) lie on the imaginary axis of the complex plane

Reference 3

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Observation 5a636c47-ae79-4668-b117-c313c4a87c2c · outbound

This paper cites In this article, we demonstrate that such a possibility does exist.

The Lee-Yang property of the Blume-Capel model In this article, we demonstrate that such a possibility does exist

Reference 4

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Observation 76ecf0bc-5239-46bf-a73f-7314c6ebbb2d · outbound

This paper cites At the same time, cf.

The Lee-Yang property of the Blume-Capel model At the same time, cf

Reference 5

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Observation b7a422f9-52b7-4f46-ad53-08e581b8cc11 · outbound

This paper cites Zierenberg, N.

The Lee-Yang property of the Blume-Capel model Zierenberg, N

Reference 6

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Observation 58e144eb-ffa3-47f6-a242-df251defaf01 · outbound

This paper cites This means that the desired property of ZN is no longer guaranteed by the Lieb-Sokal theorem or any other statement of this kind.

The Lee-Yang property of the Blume-Capel model This means that the desired property of ZN is no longer guaranteed by the Lieb-Sokal theorem or any other statement of this kind

Reference 7

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Observation e4591653-d158-4c7b-8ab3-90533eddaaa6 · outbound

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The Lee-Yang property of the Blume-Capel model Unresolved cited work

Reference 8

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Observation 1ecc5f93-8dcd-472d-97e4-153de7e2e4a7 · outbound

This paper cites Using in ( 10) Φ = ˆΦ given in ( 9) and ( 5), we conclude that the corresponding F is stable and symmetric; hence, ZN (h) = F (h,h,...,h ) has only imaginary zeros[42] for θ ≤ 1.

The Lee-Yang property of the Blume-Capel model Using in ( 10) Φ = ˆΦ given in ( 9) and ( 5), we conclude that the corresponding F is stable and symmetric; hence, ZN (h) = F (h,h,...,h ) has only imaginary zeros[42] for θ ≤ 1

Reference 9

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Observation 38be8efa-96ba-4c2e-a2e7-b4a8a69667e2 · outbound

This paper cites The key issue is their stability.

The Lee-Yang property of the Blume-Capel model The key issue is their stability

Reference 10

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Observation 17912cc6-45bd-4149-90cc-6117af325474 · outbound

This paper cites Then the stability of F will follow by the Lieb-Sokal the- orem and the positivity in ( 15), provided that G given in (16) is stable.

The Lee-Yang property of the Blume-Capel model Then the stability of F will follow by the Lieb-Sokal the- orem and the positivity in ( 15), provided that G given in (16) is stable

Reference 11

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Observation ddb5b7ba-0d05-45b3-8817-58061926d876 · outbound

This paper cites The proof Naturally, we can limit ourselves to considering the case of θ >1.

The Lee-Yang property of the Blume-Capel model The proof Naturally, we can limit ourselves to considering the case of θ >1

Reference 12

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Observation 91a3adf5-abdf-43bd-9abd-6c9489e7a3f4 · outbound

This paper cites Then each Vn can be taken as a collection of parallel paths of nearest neigh- bors that contain an even number of sites.

The Lee-Yang property of the Blume-Capel model Then each Vn can be taken as a collection of parallel paths of nearest neigh- bors that contain an even number of sites

Reference 13

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Observation 6fea1701-de2a-4604-8193-c0a3b99b1730 · outbound

This paper cites the number of neighboring sites outside Vn.

The Lee-Yang property of the Blume-Capel model the number of neighboring sites outside Vn

Reference 14

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Observation 034b12a8-8da6-4e19-bede-3fd1ae7ce32e · outbound

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The Lee-Yang property of the Blume-Capel model Unresolved cited work

Reference 15

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Observation e82ae06d-b5ac-457b-82d1-019ce6d147aa · outbound

This paper cites Criticality of complex systems: fundamental aspects and applications.

The Lee-Yang property of the Blume-Capel model Criticality of complex systems: fundamental aspects and applications

Reference 16

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Observation e247de48-4f30-45be-8373-e269c8554b60 · outbound

This paper cites Blume, Theory of the ﬁrst-order magnetic phase change in UO 2, Phys.

The Lee-Yang property of the Blume-Capel model Blume, Theory of the ﬁrst-order magnetic phase change in UO 2, Phys

Reference 17

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Observation 9a0a4918-bc38-4e65-9896-541cfe316fc7 · outbound

This paper cites Capel, On the possibility of ﬁrst-order phase transi- tions in Ising systems of triplet ions with zero-ﬁeld split- ting, Physica 32, 966 (1966).

The Lee-Yang property of the Blume-Capel model Capel, On the possibility of ﬁrst-order phase transi- tions in Ising systems of triplet ions with zero-ﬁeld split- ting, Physica 32, 966 (1966)

Reference 18

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Observation feb9b0b9-db9e-4908-aa63-4458d19b575f · outbound

This paper cites Blume, V.

The Lee-Yang property of the Blume-Capel model Blume, V

Reference 19

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Observation 4a8cbfb4-2972-4501-bfcb-d41155b91b55 · outbound

This paper cites Honchar, M.

The Lee-Yang property of the Blume-Capel model Honchar, M

Reference 20

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Observation a400472c-f9d7-482f-b019-a628cb3a91f9 · outbound

This paper cites Zierenberg, N.

The Lee-Yang property of the Blume-Capel model Zierenberg, N

Reference 21

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Observation eb1f54fa-f53c-4fc9-b3cf-a189bf8905d2 · outbound

This paper cites Albeverio, Y.

The Lee-Yang property of the Blume-Capel model Albeverio, Y

Reference 22

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Observation 4a3f8f08-8cf0-4719-92a4-4c500136063e · outbound

This paper cites Torrico, D.

The Lee-Yang property of the Blume-Capel model Torrico, D

Reference 23

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Observation 684b604a-b9f0-4e2e-bcf4-b5c2fc8dec53 · outbound

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The Lee-Yang property of the Blume-Capel model Unresolved cited work

Reference 24

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Observation 17812f4d-0cee-4fb4-b981-3a8a99281b0c · outbound

This paper cites Malakis, A.

The Lee-Yang property of the Blume-Capel model Malakis, A

Reference 25

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Observation 1c3e8a59-dae7-42a6-b4cf-4985d475b428 · outbound

This paper cites Moueddene, N.

The Lee-Yang property of the Blume-Capel model Moueddene, N

Reference 26

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Observation a77c193a-bfe0-4b93-9468-d297aa91fe57 · outbound

This paper cites Moueddene, N.

The Lee-Yang property of the Blume-Capel model Moueddene, N

Reference 27

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Observation b8252094-d158-48ab-8e63-b17a27a2e21e · outbound

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The Lee-Yang property of the Blume-Capel model Unresolved cited work

Reference 28

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Observation 0419755e-dc7c-4b9e-874a-59451816b62f · outbound

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The Lee-Yang property of the Blume-Capel model Unresolved cited work

Reference 29

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Observation 0b2209dc-14e1-4169-85d9-771088a58f7d · outbound

This paper cites By ( 5), the latter means that βc is the unique so- lution of the equation β = 1 +θ = 1 +eβ∆/2.

The Lee-Yang property of the Blume-Capel model By ( 5), the latter means that βc is the unique so- lution of the equation β = 1 +θ = 1 +eβ∆/2

Reference 30

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Observation b5570bf2-a5c6-43d8-9d23-17a610bee7e9 · outbound

This paper cites Cluster Dynamics Stay Fast-Until Tricriticality.

The Lee-Yang property of the Blume-Capel model Cluster Dynamics Stay Fast-Until Tricriticality

Reference 31

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Observation 8822d261-e1ec-46a5-a7cd-54bbba312219 · outbound

This paper cites Mataragkas, A.

The Lee-Yang property of the Blume-Capel model Mataragkas, A

Reference 32

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Observation 85d45768-71ac-435d-9891-ee77c0c5b48a · outbound

This paper cites Wei and R.-B.

The Lee-Yang property of the Blume-Capel model Wei and R.-B

Reference 33

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The Lee-Yang property of the Blume-Capel model Unresolved cited work

Reference 34

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Observation 99cc5a17-b48d-43b2-bab4-4208e381eb7a · outbound

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Reference 35

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Observation 0b40615d-9fae-497f-b073-39d6e01b83ef · outbound

This paper cites Dunlop and C.

The Lee-Yang property of the Blume-Capel model Dunlop and C

Reference 36

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Reference 37

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Observation 94fc5255-0c9b-4ec3-a04b-e6247d43e72e · outbound

This paper cites Kozitsky, The Lee-Yang property of isotropic vector ferromagnets and lattice ﬁelds (2026), arXiv:2603.18675 [math-ph].

The Lee-Yang property of the Blume-Capel model Kozitsky, The Lee-Yang property of isotropic vector ferromagnets and lattice ﬁelds (2026), arXiv:2603.18675 [math-ph]

Reference 38

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Observation e2103543-8e6d-499f-902b-78a0df92b9af · outbound

This paper cites Ruelle, Statistical Mechanics.

The Lee-Yang property of the Blume-Capel model Ruelle, Statistical Mechanics

Reference 39

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Observation 9484b279-1c96-4e68-a641-25c1183cd171 · outbound

This paper cites Glimm and A.

The Lee-Yang property of the Blume-Capel model Glimm and A

Reference 40

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Observation 655d3992-f895-4ee0-8485-d62678ffa533 · outbound

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The Lee-Yang property of the Blume-Capel model Unresolved cited work

Reference 41

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Observation 7c3fe641-29cc-4595-be42-5d757333ff7d · outbound

This paper cites Biskup, C.

The Lee-Yang property of the Blume-Capel model Biskup, C

Reference 42

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Observation a0a1286f-5730-414d-9a78-9292980f4960 · outbound

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The Lee-Yang property of the Blume-Capel model Unresolved cited work

Reference 43

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Observation e8bfe631-6d01-4d8d-9318-03877b0c8d06 · outbound

This paper cites Fr¨ ohlich and P.-F.

The Lee-Yang property of the Blume-Capel model Fr¨ ohlich and P.-F

Reference 44

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Observation eb2fca7b-7d42-43c7-ae79-302eb465f2a0 · outbound

This paper cites Ba¸ sar, Universality, Lee-Yang singularities, and series expansions, Phys.

The Lee-Yang property of the Blume-Capel model Ba¸ sar, Universality, Lee-Yang singularities, and series expansions, Phys

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Resolution: unresolved; no resolver link, observed 2026-08-01T19:37:22.911399Z

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Observation 24afaad7-06c1-493c-a856-2d2f09080c8b · outbound

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The Lee-Yang property of the Blume-Capel model Unresolved cited work

Reference 46

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Observation e4a4ff2b-07e9-4e3a-8385-1e77323f52fc · outbound

This paper cites Simon, Phase Transitions in the Theory of Lattice Gases , New Mathematical Monographs, Vol.

The Lee-Yang property of the Blume-Capel model Simon, Phase Transitions in the Theory of Lattice Gases , New Mathematical Monographs, Vol

Reference 47

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Observation dc0c9bdb-6268-480f-82b4-30b531ef46d7 · outbound

This paper cites Borcea and P.

The Lee-Yang property of the Blume-Capel model Borcea and P

Reference 48

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Observation 922a6509-2551-4983-8d21-6a7a4f162d50 · outbound

This paper cites Borcea and P.

The Lee-Yang property of the Blume-Capel model Borcea and P

Reference 49

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Observation 6b800bea-5571-46e9-9c0f-ece2fd238f0d · outbound

This paper cites Br¨ and´ en and J.

The Lee-Yang property of the Blume-Capel model Br¨ and´ en and J

Reference 50

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Observation 9dcc335f-e95d-4308-be9d-c38a1e76ccf0 · outbound

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The Lee-Yang property of the Blume-Capel model Unresolved cited work

Reference 51

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Observation 24ae4b0f-b647-47b2-95dc-d2aa6258ff98 · outbound

This paper cites Wolf, Will a physicist prove the Riemann hypothesis?, Rep.

The Lee-Yang property of the Blume-Capel model Wolf, Will a physicist prove the Riemann hypothesis?, Rep

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Resolution: unresolved; no resolver link, observed 2026-08-01T19:37:23.382442Z

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Observation 415c58fb-2c45-488d-a289-5a1e4b89043f · outbound

This paper cites Zhang, Equivalence between the zero dis- tributions of the Riemann zeta function and a competing two-dimensional Ising model, Phys.

The Lee-Yang property of the Blume-Capel model Zhang, Equivalence between the zero dis- tributions of the Riemann zeta function and a competing two-dimensional Ising model, Phys

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Observation 1dd23251-5542-4dae-98df-736bc6c477d3 · outbound

This paper cites Deger, F.

The Lee-Yang property of the Blume-Capel model Deger, F

Reference 54

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Observation 82171809-2b64-49a1-a6d3-5916575d8df9 · outbound

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The Lee-Yang property of the Blume-Capel model Unresolved cited work

Reference 55

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Observation f9557a5f-9413-43ee-a440-3194d4f52cac · outbound

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The Lee-Yang property of the Blume-Capel model Unresolved cited work

Reference 56

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Observation 8ffbcf34-bdb5-4ff9-acad-2bc60f37b382 · outbound

This paper cites Kozitsky, P.

The Lee-Yang property of the Blume-Capel model Kozitsky, P

Reference 57

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Observation a148a4b0-b43b-46f1-bce8-6a5f5a18e566 · outbound

This paper cites An example can be φ(x) = ex.

The Lee-Yang property of the Blume-Capel model An example can be φ(x) = ex

Reference 58

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Observation f9547508-1eb6-47d9-ad5b-85123355fe75 · outbound

This paper cites Bondy and U.

The Lee-Yang property of the Blume-Capel model Bondy and U

Reference 59

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Observation 6d290a06-cb1d-48d5-9e5f-a87f693d3e76 · outbound

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The Lee-Yang property of the Blume-Capel model Unresolved cited work

Reference 60

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Observation ae7a7129-2de4-4232-94f0-c12c81aaba35 · outbound

This paper cites Ekiz, Thermodynamic properties and magne- tocaloric eﬀect in dendrimer-like recursive lattice, Physica A 626, 129088 (2023).

The Lee-Yang property of the Blume-Capel model Ekiz, Thermodynamic properties and magne- tocaloric eﬀect in dendrimer-like recursive lattice, Physica A 626, 129088 (2023)

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-01T19:37:23.970908Z

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Unavailable: canonical work link unavailable.

Observation 77a2dcb9-0401-422f-b6a3-f23f5688fdb5 · outbound

This paper cites an unresolved cited work.

The Lee-Yang property of the Blume-Capel model Unresolved cited work

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-01T19:37:24.052553Z

Source-reported events for the cited work

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Observation 87e8e3d4-8ce0-4371-b17d-2186fca7c133 · outbound

This paper cites Yamada, H.

The Lee-Yang property of the Blume-Capel model Yamada, H

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-01T19:37:24.153788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b751e23-c78b-46e9-bc01-930cc8c4e783 · outbound

This paper cites Lee, Generalized circle theorem on zeros of par- tition function at asymmetric ﬁrst-order transitions, Phys.

The Lee-Yang property of the Blume-Capel model Lee, Generalized circle theorem on zeros of par- tition function at asymmetric ﬁrst-order transitions, Phys

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-01T19:37:24.207088Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation de5aecae-cea4-46c8-a5f2-0049d1527732 · inbound