{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:BYM4XWWQFDZYL7KHE4CMN7JOIF","short_pith_number":"pith:BYM4XWWQ","schema_version":"1.0","canonical_sha256":"0e19cbdad028f385fd472704c6fd2e4172f18b6b20794c7cd0ad2540f1e8efcc","source":{"kind":"arxiv","id":"1111.1177","version":3},"attestation_state":"computed","paper":{"title":"Partially observed Markov random fields are variable neighborhood random fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Antonio Galves, Eva Loecherbach, Marzio Cassandro","submitted_at":"2011-11-04T16:44:27Z","abstract_excerpt":"The present paper has two goals. First to present a natural example of a new class of random fields which are the variable neighborhood random fields. The example we consider is a partially observed nearest neighbor binary Markov random field. The second goal is to establish sufficient conditions ensuring that the variable neighborhoods are almost surely finite. We discuss the relationship between the almost sure finiteness of the interaction neighborhoods and the presence/absence of phase transition of the underlying Markov random field. In the case where the underlying random field has no ph"},"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":"1111.1177","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-11-04T16:44:27Z","cross_cats_sorted":[],"title_canon_sha256":"cb21d6ab7d7d7f183381f467fe58c9ade319279ab17882b13be67f17280534d6","abstract_canon_sha256":"65b57906ff4e2cb6766048e12755eee9d3b362b89d873ba26cd95e7ce9144bba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:45.428518Z","signature_b64":"d+Q2q4ATEwfVMW7ni6KdbrIgYvVrFHr3NJObOKFoY7+pJ6e+E4tSIe9kLyLFDVxmUJms+LsmhZVzEf4b8bYcCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e19cbdad028f385fd472704c6fd2e4172f18b6b20794c7cd0ad2540f1e8efcc","last_reissued_at":"2026-05-18T01:59:45.427920Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:45.427920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Partially observed Markov random fields are variable neighborhood random fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Antonio Galves, Eva Loecherbach, Marzio Cassandro","submitted_at":"2011-11-04T16:44:27Z","abstract_excerpt":"The present paper has two goals. First to present a natural example of a new class of random fields which are the variable neighborhood random fields. The example we consider is a partially observed nearest neighbor binary Markov random field. The second goal is to establish sufficient conditions ensuring that the variable neighborhoods are almost surely finite. We discuss the relationship between the almost sure finiteness of the interaction neighborhoods and the presence/absence of phase transition of the underlying Markov random field. In the case where the underlying random field has no ph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1177","kind":"arxiv","version":3},"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":"1111.1177","created_at":"2026-05-18T01:59:45.428003+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.1177v3","created_at":"2026-05-18T01:59:45.428003+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1177","created_at":"2026-05-18T01:59:45.428003+00:00"},{"alias_kind":"pith_short_12","alias_value":"BYM4XWWQFDZY","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BYM4XWWQFDZYL7KH","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BYM4XWWQ","created_at":"2026-05-18T12:26:24.575870+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/BYM4XWWQFDZYL7KHE4CMN7JOIF","json":"https://pith.science/pith/BYM4XWWQFDZYL7KHE4CMN7JOIF.json","graph_json":"https://pith.science/api/pith-number/BYM4XWWQFDZYL7KHE4CMN7JOIF/graph.json","events_json":"https://pith.science/api/pith-number/BYM4XWWQFDZYL7KHE4CMN7JOIF/events.json","paper":"https://pith.science/paper/BYM4XWWQ"},"agent_actions":{"view_html":"https://pith.science/pith/BYM4XWWQFDZYL7KHE4CMN7JOIF","download_json":"https://pith.science/pith/BYM4XWWQFDZYL7KHE4CMN7JOIF.json","view_paper":"https://pith.science/paper/BYM4XWWQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.1177&json=true","fetch_graph":"https://pith.science/api/pith-number/BYM4XWWQFDZYL7KHE4CMN7JOIF/graph.json","fetch_events":"https://pith.science/api/pith-number/BYM4XWWQFDZYL7KHE4CMN7JOIF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BYM4XWWQFDZYL7KHE4CMN7JOIF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BYM4XWWQFDZYL7KHE4CMN7JOIF/action/storage_attestation","attest_author":"https://pith.science/pith/BYM4XWWQFDZYL7KHE4CMN7JOIF/action/author_attestation","sign_citation":"https://pith.science/pith/BYM4XWWQFDZYL7KHE4CMN7JOIF/action/citation_signature","submit_replication":"https://pith.science/pith/BYM4XWWQFDZYL7KHE4CMN7JOIF/action/replication_record"}},"created_at":"2026-05-18T01:59:45.428003+00:00","updated_at":"2026-05-18T01:59:45.428003+00:00"}