{"as_of":"2026-08-14T02:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8457c126b3edf0726454b19fa307968e19bfd5f05bb03fb8e5b05470c9bfbe34","coverage":[{"denominator":64,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":64,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T19:37:24.207088Z","state":"measured"},{"denominator":65,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":65,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T19:37:18.803610Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.16958","snapshot_observed_at":"2026-08-01T19:37:18.803610Z","title":"Here HN is the corresponding Hamiltonian and Tr denotes the sum- mation over all relevant spin variables","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:18.803610Z"},"links":{"cited_paper":"/paper/2607.16958","citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:e7bf6050c9831a1a482d663fd0c594665a145e12e74b907962bbacb28480d624","observation_id":"de5aecae-cea4-46c8-a5f2-0049d1527732","resolution":{"observed_at":"2026-08-01T19:37:18.803610Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2607.16958/citation-record","integrity":"/paper/2607.16958/integrity","json":"/paper/2607.16958/citation-record.json","paper":"/paper/2607.16958"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:18.700772Z","title":"However, other discrete inﬁnite structures are used as the underlying sets of such models","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:18.700772Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:4d065a35ffba520921abc0c89ad0e19ac1fa5a4f6102029569921cdb6b0eb4d2","observation_id":"229e556d-5503-43bd-aae6-d06defc3ae46","resolution":{"observed_at":"2026-08-01T19:37:18.700772Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.16958","snapshot_observed_at":"2026-08-01T19:37:18.803610Z","title":"Here HN is the corresponding Hamiltonian and Tr denotes the sum- mation over all relevant spin variables","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:18.803610Z"},"links":{"cited_paper":"/paper/2607.16958","citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:e7bf6050c9831a1a482d663fd0c594665a145e12e74b907962bbacb28480d624","observation_id":"de5aecae-cea4-46c8-a5f2-0049d1527732","resolution":{"observed_at":"2026-08-01T19:37:18.803610Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:18.893885Z","title":"( 2), ZN (h) = Ξ N (eh) (3) lie on the imaginary axis of the complex plane","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:18.893885Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:dd79ea48cf6091ee3f134b155f079c2e4434b803f1fbdcbb187f8f158f1a9dd1","observation_id":"a3fb06fa-b81f-4961-a80b-577b4b6bb438","resolution":{"observed_at":"2026-08-01T19:37:18.893885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:19.323541Z","title":"In this article, we demonstrate that such a possibility does exist","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:19.323541Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:b78f794fd0004017edcefcc999e3738f4e54857987b74fb1d6eef4a81edb76fb","observation_id":"5a636c47-ae79-4668-b117-c313c4a87c2c","resolution":{"observed_at":"2026-08-01T19:37:19.323541Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:19.030798Z","title":"At the same time, cf","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:19.030798Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:bf188455c676272f90f34aceaf1c10976a8a40231f4f197340c12487127ec466","observation_id":"76ecf0bc-5239-46bf-a73f-7314c6ebbb2d","resolution":{"observed_at":"2026-08-01T19:37:19.030798Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:21.079833Z","title":"Zierenberg, N","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:21.079833Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:5a5c9f9d2a4043fa746356e4c66b980cc04132c499dbc0b8aed3fa7b2161414f","observation_id":"b7a422f9-52b7-4f46-ad53-08e581b8cc11","resolution":{"observed_at":"2026-08-01T19:37:21.079833Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:19.205300Z","title":"This means that the desired property of ZN is no longer guaranteed by the Lieb-Sokal theorem or any other statement of this kind","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:19.205300Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:0f406158edc4dfed9d47d0cca1b2dc9a76b800669290ea014164ab56aca1e90b","observation_id":"58e144eb-ffa3-47f6-a242-df251defaf01","resolution":{"observed_at":"2026-08-01T19:37:19.205300Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:19.484259Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:19.484259Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:f057896fdb417a67de77c5c4701a96c3d14dc5ac8b62bc70e9f7c75c41f5a99c","observation_id":"e4591653-d158-4c7b-8ab3-90533eddaaa6","resolution":{"observed_at":"2026-08-01T19:37:19.484259Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:19.761422Z","title":"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","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:19.761422Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:4c7fd41ec75081cb4824b74bf8ec4a506dd75ee5522f4ec519e91c3a9ab0860f","observation_id":"1ecc5f93-8dcd-472d-97e4-153de7e2e4a7","resolution":{"observed_at":"2026-08-01T19:37:19.761422Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:19.611143Z","title":"The key issue is their stability","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:19.611143Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:ad04ee4b63f1d55a1a1488dcd0d5d2b67065b3d2782a9eb768f6b2e98ada42f0","observation_id":"38be8efa-96ba-4c2e-a2e7-b4a8a69667e2","resolution":{"observed_at":"2026-08-01T19:37:19.611143Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:20.037693Z","title":"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","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:20.037693Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:53429ad21cfa31f9f6eab328d804c2d0b3f35dcf50b95c27052613f3fca0c452","observation_id":"17912cc6-45bd-4149-90cc-6117af325474","resolution":{"observed_at":"2026-08-01T19:37:20.037693Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:19.921220Z","title":"The proof Naturally, we can limit ourselves to considering the case of θ >1","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:19.921220Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:096795f85b58e10c30539d0d23ff760774336032c4f47f7d6345a5eab3d01394","observation_id":"ddb5b7ba-0d05-45b3-8817-58061926d876","resolution":{"observed_at":"2026-08-01T19:37:19.921220Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:20.130499Z","title":"Then each Vn can be taken as a collection of parallel paths of nearest neigh- bors that contain an even number of sites","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:20.130499Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:e1b24a781a13afc6756b6495053c29ba2e520df206c4b43137ed5cad5af36ba6","observation_id":"91a3adf5-abdf-43bd-9abd-6c9489e7a3f4","resolution":{"observed_at":"2026-08-01T19:37:20.130499Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:20.293947Z","title":"the number of neighboring sites outside Vn","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:20.293947Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:7313070aee0991c98a875f90e76b2d38c050ee49a39aa1a367fd8b3b6001c8c3","observation_id":"6fea1701-de2a-4604-8193-c0a3b99b1730","resolution":{"observed_at":"2026-08-01T19:37:20.293947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:20.398996Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:20.398996Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:3b63b48bd9d52f0eb2ac135f10b1357e7a77c53c5d2cdbe62a75be023ec7e75d","observation_id":"034b12a8-8da6-4e19-bede-3fd1ae7ce32e","resolution":{"observed_at":"2026-08-01T19:37:20.398996Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:20.551267Z","title":"Criticality of complex systems: fundamental aspects and applications","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:20.551267Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:8f5f9d66f81e67f77c804f15f9ecd6162dac1a6934662c2fa94c4dc3908ef764","observation_id":"e82ae06d-b5ac-457b-82d1-019ce6d147aa","resolution":{"observed_at":"2026-08-01T19:37:20.551267Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:20.639162Z","title":"Blume, Theory of the ﬁrst-order magnetic phase change in UO 2, Phys","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:20.639162Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:b69ed879b1311f071e39a29264087d90d1d1b8a95a474dba1a92aba804cd64d3","observation_id":"e247de48-4f30-45be-8373-e269c8554b60","resolution":{"observed_at":"2026-08-01T19:37:20.639162Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:20.737184Z","title":"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)","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:20.737184Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:94588246685d97a20f6550a6241bc8bd860873d7afbead5921331e0f2464112d","observation_id":"9a0a4918-bc38-4e65-9896-541cfe316fc7","resolution":{"observed_at":"2026-08-01T19:37:20.737184Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:20.832532Z","title":"Blume, V","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:20.832532Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:857bdb1fe011be95ce7fb73d87d33814c6169ba2180608fdeb12d0c69138045f","observation_id":"feb9b0b9-db9e-4908-aa63-4458d19b575f","resolution":{"observed_at":"2026-08-01T19:37:20.832532Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:20.898888Z","title":"Honchar, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:20.898888Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:b1bc88d95346bad0a1050f0e07a284f74054a0e49fe25e0cffd97b84fd45a844","observation_id":"4a8cbfb4-2972-4501-bfcb-d41155b91b55","resolution":{"observed_at":"2026-08-01T19:37:20.898888Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:20.983356Z","title":"Zierenberg, N","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:20.983356Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:8f87e58b822e9a172fccffc022168bbc9684e07d5beba50e2b68c4aedebbffc5","observation_id":"a400472c-f9d7-482f-b019-a628cb3a91f9","resolution":{"observed_at":"2026-08-01T19:37:20.983356Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:22.331537Z","title":"Albeverio, Y","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:22.331537Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:4d27e318a8bd37296fe3fd1d1a9416c4f5d9311c566e368078ac33a66d5b59ca","observation_id":"eb1f54fa-f53c-4fc9-b3cf-a189bf8905d2","resolution":{"observed_at":"2026-08-01T19:37:22.331537Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:21.197524Z","title":"Torrico, D","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:21.197524Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:494bf8caa66ef8f65008d9659e3970e87c674542dc6b9b7d80acadc346aee119","observation_id":"4a3f8f08-8cf0-4719-92a4-4c500136063e","resolution":{"observed_at":"2026-08-01T19:37:21.197524Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:21.288937Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:21.288937Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:6558d37dc743d91d6781d03a304c5c83383231a264a75b76eb34483557350dfc","observation_id":"684b604a-b9f0-4e2e-bcf4-b5c2fc8dec53","resolution":{"observed_at":"2026-08-01T19:37:21.288937Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:21.339477Z","title":"Malakis, A","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:21.339477Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:6072b3ebc47519df99725716f847358314ff5b5b4f7369974257463d090add91","observation_id":"17812f4d-0cee-4fb4-b981-3a8a99281b0c","resolution":{"observed_at":"2026-08-01T19:37:21.339477Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:21.396868Z","title":"Moueddene, N","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:21.396868Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:ae5d325763d65e7f78ba4be904c04622b9d23c01580f3047a0d43acef3945b1e","observation_id":"1c3e8a59-dae7-42a6-b4cf-4985d475b428","resolution":{"observed_at":"2026-08-01T19:37:21.396868Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:21.487671Z","title":"Moueddene, N","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:21.487671Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:85a5300f6abe76a649b0fbacad29c6240b657c152eebffa412712082ada47b02","observation_id":"a77c193a-bfe0-4b93-9468-d297aa91fe57","resolution":{"observed_at":"2026-08-01T19:37:21.487671Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:21.570103Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:21.570103Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:0417480465c59bcc249ddb80c5a970d9939883e23e3abeb51be2591d448c8685","observation_id":"b8252094-d158-48ab-8e63-b17a27a2e21e","resolution":{"observed_at":"2026-08-01T19:37:21.570103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:21.644754Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:21.644754Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:1cf13a2d9f4f3ef4e3a1881b380e46ce066123b92fa8bcad82f286a4e849ddcd","observation_id":"0419755e-dc7c-4b9e-874a-59451816b62f","resolution":{"observed_at":"2026-08-01T19:37:21.644754Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:20.493879Z","title":"By ( 5), the latter means that βc is the unique so- lution of the equation β = 1 +θ = 1 +eβ∆/2","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:20.493879Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:abb062464b8e99cfc6e97fe50a2cd1861e3207e362480d02bd47b23bcc3b48c4","observation_id":"0b2209dc-14e1-4169-85d9-771088a58f7d","resolution":{"observed_at":"2026-08-01T19:37:20.493879Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.07867","last_updated":"2026-05-08T15:25:25Z","snapshot_observed_at":"2026-08-02T21:26:35.652174Z","submitted_at":"2026-05-08T15:25:25Z","title":"Cluster Dynamics Stay Fast-Until Tricriticality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.07867","snapshot_observed_at":"2026-08-01T19:37:21.724809Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:21.724809Z"},"links":{"cited_paper":"/paper/2605.07867","citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:0b9b48a57735bd9da94d3b3ec8e26287c31a57ca4d5be90ac0e8653bd1a24ad9","observation_id":"b5570bf2-a5c6-43d8-9d23-17a610bee7e9","resolution":{"observed_at":"2026-08-01T19:37:21.724809Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:21.804062Z","title":"Mataragkas, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:21.804062Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:140a9ff09f9752be7145ce642b7f38827ab40ae457c173ce3d48f981bab23995","observation_id":"8822d261-e1ec-46a5-a7cd-54bbba312219","resolution":{"observed_at":"2026-08-01T19:37:21.804062Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:21.878117Z","title":"Wei and R.-B","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:21.878117Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:ab16ee01cd6cb67d19f5227a273098f067e3355c19c7f34f64b29f84b30d609f","observation_id":"85d45768-71ac-435d-9891-ee77c0c5b48a","resolution":{"observed_at":"2026-08-01T19:37:21.878117Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:21.940269Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:21.940269Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:08b22bd3be1daafaf8099fa462fcd3eb10ed3966141a781cb5854984a0f3195d","observation_id":"a48335a7-b408-4786-b933-5656ab28f544","resolution":{"observed_at":"2026-08-01T19:37:21.940269Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:22.026560Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:22.026560Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:c12bd282593c0e6aaf06bfa9bf35f432c0c6bef989c9baf91518ede8b3919385","observation_id":"99cc5a17-b48d-43b2-bab4-4208e381eb7a","resolution":{"observed_at":"2026-08-01T19:37:22.026560Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:22.076824Z","title":"Dunlop and C","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:22.076824Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:0dad9b2fa57e7bc36197fb717fcb1e9dad90d46e66061d73339e76c59536dcd3","observation_id":"0b40615d-9fae-497f-b073-39d6e01b83ef","resolution":{"observed_at":"2026-08-01T19:37:22.076824Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:22.160988Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:22.160988Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:640bc81e46274c82b381bcc42092cb6173914ddf94f62102a6d390b09a929036","observation_id":"b001a7fa-d05c-456a-adb2-4e724bbbfe01","resolution":{"observed_at":"2026-08-01T19:37:22.160988Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:22.237496Z","title":"Kozitsky, The Lee-Yang property of isotropic vector ferromagnets and lattice ﬁelds (2026), arXiv:2603.18675 [math-ph]","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:22.237496Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:cb70cf3e6ebb147a0cd3c71cf1321b7dda8a61ae5c71b3d1625cefb6a4d86b3b","observation_id":"94fc5255-0c9b-4ec3-a04b-e6247d43e72e","resolution":{"observed_at":"2026-08-01T19:37:22.237496Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:22.418037Z","title":"Ruelle, Statistical Mechanics","venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:22.418037Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:4bc9729450459e93211ee81d1662847375b62dea177f3b9e538d016609b256bc","observation_id":"e2103543-8e6d-499f-902b-78a0df92b9af","resolution":{"observed_at":"2026-08-01T19:37:22.418037Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:22.495400Z","title":"Glimm and A","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:22.495400Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:7e32bfb8898ec972d98866deed47a87fc7004ce7ebb87d2556bdae893529fea6","observation_id":"9484b279-1c96-4e68-a641-25c1183cd171","resolution":{"observed_at":"2026-08-01T19:37:22.495400Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:22.557845Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:22.557845Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:956c344846710e5ea041d5a340cd6ef501b30332d55b6985f22836a76c9d1bf5","observation_id":"655d3992-f895-4ee0-8485-d62678ffa533","resolution":{"observed_at":"2026-08-01T19:37:22.557845Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:22.653475Z","title":"Biskup, C","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:22.653475Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:0cdcbf299987a95cca8356fcab72345afa841aecedbdeede596e27f177814997","observation_id":"7c3fe641-29cc-4595-be42-5d757333ff7d","resolution":{"observed_at":"2026-08-01T19:37:22.653475Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:22.737007Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:22.737007Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:add9aeb4825d8e34f7638b8ce49073b1f01b5d290e309c626022122a9f1737fe","observation_id":"a0a1286f-5730-414d-9a78-9292980f4960","resolution":{"observed_at":"2026-08-01T19:37:22.737007Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:22.822345Z","title":"Fr¨ ohlich and P.-F","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:22.822345Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:1156e1949b6b6ca1d4cd7d8386ac71f944d8f09c783230f7811eb833cb08e286","observation_id":"e8bfe631-6d01-4d8d-9318-03877b0c8d06","resolution":{"observed_at":"2026-08-01T19:37:22.822345Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:22.911399Z","title":"Ba¸ sar, Universality, Lee-Yang singularities, and series expansions, Phys","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:22.911399Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:b79c40317dde050dbfbffaff9fef01f0d80dde842cec86c8fe578af22b9f54f4","observation_id":"eb2fca7b-7d42-43c7-ae79-302eb465f2a0","resolution":{"observed_at":"2026-08-01T19:37:22.911399Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:22.992887Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:22.992887Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:83ed2e4de6372c5c9bdd6b770f8e99bba26ca229c9385e6dd9886e5bc8070299","observation_id":"24afaad7-06c1-493c-a856-2d2f09080c8b","resolution":{"observed_at":"2026-08-01T19:37:22.992887Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.046972Z","title":"Simon, Phase Transitions in the Theory of Lattice Gases , New Mathematical Monographs, Vol","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.046972Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:160bdd9e8b0db8bdee4efa93c0b7155c454a41b36c7609d28026eead82175533","observation_id":"e4a4ff2b-07e9-4e3a-8385-1e77323f52fc","resolution":{"observed_at":"2026-08-01T19:37:23.046972Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.135383Z","title":"Borcea and P","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.135383Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:91bb586cfc2950fb45cb3e202cd8d033e7e28b504f1960bfeee7488d58a2e442","observation_id":"dc0c9bdb-6268-480f-82b4-30b531ef46d7","resolution":{"observed_at":"2026-08-01T19:37:23.135383Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.207575Z","title":"Borcea and P","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.207575Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:c1a69ac5e3c993b0bf18427c17e1d803d0711f0e586a06eca9802e75219ec992","observation_id":"922a6509-2551-4983-8d21-6a7a4f162d50","resolution":{"observed_at":"2026-08-01T19:37:23.207575Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.251512Z","title":"Br¨ and´ en and J","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.251512Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:58c263957585bc010d44a9e77c317da302656d396f7b588d835f5eebf2e734d9","observation_id":"6b800bea-5571-46e9-9c0f-ece2fd238f0d","resolution":{"observed_at":"2026-08-01T19:37:23.251512Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.322695Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.322695Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:51d41d476a0ea68748c864234492946e9937546c85850c5fb75406fb1cbb2f0a","observation_id":"9dcc335f-e95d-4308-be9d-c38a1e76ccf0","resolution":{"observed_at":"2026-08-01T19:37:23.322695Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.382442Z","title":"Wolf, Will a physicist prove the Riemann hypothesis?, Rep","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.382442Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:413a51bdfd8988c0d72d6845685dd5c48d961360939f6d383967bd228e72e3a3","observation_id":"24ae4b0f-b647-47b2-95dc-d2aa6258ff98","resolution":{"observed_at":"2026-08-01T19:37:23.382442Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.431552Z","title":"Zhang, Equivalence between the zero dis- tributions of the Riemann zeta function and a competing two-dimensional Ising model, Phys","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.431552Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:5cd698a4e1c2ae244126059910528664625de824852da8c7ffc7482e0e5a0627","observation_id":"415c58fb-2c45-488d-a289-5a1e4b89043f","resolution":{"observed_at":"2026-08-01T19:37:23.431552Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.484318Z","title":"Deger, F","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.484318Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:b44f7957424b9f3e4d5870e8cb14a767d013b0ce6533a5dcd5678bdc1e98cf94","observation_id":"1dd23251-5542-4dae-98df-736bc6c477d3","resolution":{"observed_at":"2026-08-01T19:37:23.484318Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.530201Z","title":null,"venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.530201Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:1e16e78731f24e6c3463b2b8e6c957eb5682ca96f23c95c829634ce5b444f2da","observation_id":"82171809-2b64-49a1-a6d3-5916575d8df9","resolution":{"observed_at":"2026-08-01T19:37:23.530201Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.610671Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.610671Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:6e14eaea83fb42af8422e2fc912716e03910afb85fc3579e4e11ea05abc2a4b3","observation_id":"f9557a5f-9413-43ee-a440-3194d4f52cac","resolution":{"observed_at":"2026-08-01T19:37:23.610671Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.690789Z","title":"Kozitsky, P","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.690789Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:52080eab49c53fd0f7dd05d6bd4228ce1a9d9b5aaee156261bd09568ce317e29","observation_id":"8ffbcf34-bdb5-4ff9-acad-2bc60f37b382","resolution":{"observed_at":"2026-08-01T19:37:23.690789Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.733360Z","title":"An example can be φ(x) = ex","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.733360Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:1a2c0c30a416a1cf1e65f2a3640fe7eb51846edd386b2ca4409caddd889bf3c2","observation_id":"a148a4b0-b43b-46f1-bce8-6a5f5a18e566","resolution":{"observed_at":"2026-08-01T19:37:23.733360Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.805275Z","title":"Bondy and U","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.805275Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:cd00cc402715318930c605298f3a4ade94580a1ff540a81bbd5d235fa1cbbcc0","observation_id":"f9547508-1eb6-47d9-ad5b-85123355fe75","resolution":{"observed_at":"2026-08-01T19:37:23.805275Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.876800Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.876800Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:ab08bf641ff33fd945e3c53d0f12a6082a72b0a1588be42857a7e2c9d7109f22","observation_id":"6d290a06-cb1d-48d5-9e5f-a87f693d3e76","resolution":{"observed_at":"2026-08-01T19:37:23.876800Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:23.970908Z","title":"Ekiz, Thermodynamic properties and magne- tocaloric eﬀect in dendrimer-like recursive lattice, Physica A 626, 129088 (2023)","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:23.970908Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:671f537d9e8861ec2576d262ffaba267d9ae21f7ba1b5ec2f159ec0752365805","observation_id":"ae7a7129-2de4-4232-94f0-c12c81aaba35","resolution":{"observed_at":"2026-08-01T19:37:23.970908Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:24.052553Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:24.052553Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:17947783c7b2b7e050e92fd6ae57950e4b4b1bac3736aa3d45b1de00c2f1fb15","observation_id":"77a2dcb9-0401-422f-b6a3-f23f5688fdb5","resolution":{"observed_at":"2026-08-01T19:37:24.052553Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:24.153788Z","title":"Yamada, H","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:24.153788Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:a89ed5961e6ca720fcdd6d61d86f5fdc8374102167627d9d957bf19cdb7291b6","observation_id":"87e8e3d4-8ce0-4371-b17d-2186fca7c133","resolution":{"observed_at":"2026-08-01T19:37:24.153788Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:37:24.207088Z","title":"Lee, Generalized circle theorem on zeros of par- tition function at asymmetric ﬁrst-order transitions, Phys","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-01T19:37:24.207088Z"},"links":{"citing_paper":"/paper/2607.16958"},"observation_digest":"sha256:58936178b4ed6fe3873120f23a95b84f97630c52d80a9f0dda5eb563de5c215c","observation_id":"6b751e23-c78b-46e9-bc01-930cc8c4e783","resolution":{"observed_at":"2026-08-01T19:37:24.207088Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.16958","last_updated":"2026-07-18T20:28:52Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-13T22:31:45.824411Z","submitted_at":"2026-07-18T20:28:52Z","title":"The Lee-Yang property of the Blume-Capel model"},"reference_resolution":{"displayed":64,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":64,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":64},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"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."}