{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:LKEJAIPODZO3PPLXEV7SFBLW3Q","short_pith_number":"pith:LKEJAIPO","schema_version":"1.0","canonical_sha256":"5a889021ee1e5db7bd77257f228576dc02c58a4b28b16b0fb89570b7f83e9dba","source":{"kind":"arxiv","id":"1904.03952","version":1},"attestation_state":"computed","paper":{"title":"Gibbs measures over permutations of point processes with low density","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"In\\'es Armend\\'ariz, Nicol\\'as Frevenza, Pablo A. Ferrari","submitted_at":"2019-04-08T11:05:14Z","abstract_excerpt":"We study a model of spatial random permutations over a discrete set of points. Formally, a permutation $\\sigma$ is sampled proportionally to the weight $\\exp\\{-\\alpha \\sum_x V(\\sigma(x)-x)\\},$ where $\\alpha>0$ is the temperature and $V$ is a non-negative and continuous potential. The most relevant case for physics is when $V(x)=\\|x\\|^2$, since it is related to Bose-Einstein condensation through a representation introduced by Feynman in 1953. In the context of statistical mechanics, the weights define a probability when the set of points is finite, but the construction associated to an infinite"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1904.03952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-04-08T11:05:14Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"bd8fa2d644eaca07dc98ec801a0d6b6cfffcada4f4d2d8c8562045cf3a5bc7f4","abstract_canon_sha256":"16562b2dc268650f1d403ea9ae67cc52af71c0e2173d84c49f84da557bc4cdf0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:07.586842Z","signature_b64":"1EeO4Fm5LNIDES7NNrrAIAYsav1ZH87qApl7g5inZ+cZQPdZYfr5KnZD/PL7jYpWFYpU34KF+33GsOgLhEq6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a889021ee1e5db7bd77257f228576dc02c58a4b28b16b0fb89570b7f83e9dba","last_reissued_at":"2026-05-17T23:49:07.586114Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:07.586114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gibbs measures over permutations of point processes with low density","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"In\\'es Armend\\'ariz, Nicol\\'as Frevenza, Pablo A. Ferrari","submitted_at":"2019-04-08T11:05:14Z","abstract_excerpt":"We study a model of spatial random permutations over a discrete set of points. Formally, a permutation $\\sigma$ is sampled proportionally to the weight $\\exp\\{-\\alpha \\sum_x V(\\sigma(x)-x)\\},$ where $\\alpha>0$ is the temperature and $V$ is a non-negative and continuous potential. The most relevant case for physics is when $V(x)=\\|x\\|^2$, since it is related to Bose-Einstein condensation through a representation introduced by Feynman in 1953. In the context of statistical mechanics, the weights define a probability when the set of points is finite, but the construction associated to an infinite"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.03952","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1904.03952","created_at":"2026-05-17T23:49:07.586224+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.03952v1","created_at":"2026-05-17T23:49:07.586224+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.03952","created_at":"2026-05-17T23:49:07.586224+00:00"},{"alias_kind":"pith_short_12","alias_value":"LKEJAIPODZO3","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"LKEJAIPODZO3PPLX","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"LKEJAIPO","created_at":"2026-05-18T12:33:21.387695+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LKEJAIPODZO3PPLXEV7SFBLW3Q","json":"https://pith.science/pith/LKEJAIPODZO3PPLXEV7SFBLW3Q.json","graph_json":"https://pith.science/api/pith-number/LKEJAIPODZO3PPLXEV7SFBLW3Q/graph.json","events_json":"https://pith.science/api/pith-number/LKEJAIPODZO3PPLXEV7SFBLW3Q/events.json","paper":"https://pith.science/paper/LKEJAIPO"},"agent_actions":{"view_html":"https://pith.science/pith/LKEJAIPODZO3PPLXEV7SFBLW3Q","download_json":"https://pith.science/pith/LKEJAIPODZO3PPLXEV7SFBLW3Q.json","view_paper":"https://pith.science/paper/LKEJAIPO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.03952&json=true","fetch_graph":"https://pith.science/api/pith-number/LKEJAIPODZO3PPLXEV7SFBLW3Q/graph.json","fetch_events":"https://pith.science/api/pith-number/LKEJAIPODZO3PPLXEV7SFBLW3Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LKEJAIPODZO3PPLXEV7SFBLW3Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LKEJAIPODZO3PPLXEV7SFBLW3Q/action/storage_attestation","attest_author":"https://pith.science/pith/LKEJAIPODZO3PPLXEV7SFBLW3Q/action/author_attestation","sign_citation":"https://pith.science/pith/LKEJAIPODZO3PPLXEV7SFBLW3Q/action/citation_signature","submit_replication":"https://pith.science/pith/LKEJAIPODZO3PPLXEV7SFBLW3Q/action/replication_record"}},"created_at":"2026-05-17T23:49:07.586224+00:00","updated_at":"2026-05-17T23:49:07.586224+00:00"}