{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:Q3IZDOUISATOIB25CF3SV4YAJ5","short_pith_number":"pith:Q3IZDOUI","schema_version":"1.0","canonical_sha256":"86d191ba889026e4075d11772af3004f56a178f7508c52e12bbc1f7813e9db75","source":{"kind":"arxiv","id":"1102.0594","version":1},"attestation_state":"computed","paper":{"title":"Renewal stochastic processes with correlated events. Phase transitions along time evolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Alberto Robledo, Jorge Vel\\'azquez","submitted_at":"2011-02-03T01:43:31Z","abstract_excerpt":"We consider renewal stochastic processes generated by non-independent events from the perspective that their basic distribution and associated generating functions obey the statistical-mechanical structure of systems with interacting degrees of freedom. Based on this fact we look briefly into the less known case of processes that display phase transitions along time. When the density distribution \\psi_{n}(t) for the occurrence of the n-th event at time t is considered to be a partition function, of a 'microcanonical' type for n 'degrees of freedom' at fixed 'energy' t, one obtains a set of fou"},"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":"1102.0594","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-03T01:43:31Z","cross_cats_sorted":[],"title_canon_sha256":"d6d44bb5e2d86e168d084bd5c32afebbde4669d490c60ee08174844e35bdae6f","abstract_canon_sha256":"52e4de03ba1a31285028c115c08b94067bbc6a71fdfcf2f0b60cfeb36e41eaae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:17.274813Z","signature_b64":"tr+BAoap1KltnckAxFaiB1dWFGqD5+pAFz37G79lH8rgoSkNV48Kir4EPreKv9iq4qj+Yza2+lMVN+njmxOeDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86d191ba889026e4075d11772af3004f56a178f7508c52e12bbc1f7813e9db75","last_reissued_at":"2026-05-18T02:03:17.274189Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:17.274189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renewal stochastic processes with correlated events. Phase transitions along time evolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Alberto Robledo, Jorge Vel\\'azquez","submitted_at":"2011-02-03T01:43:31Z","abstract_excerpt":"We consider renewal stochastic processes generated by non-independent events from the perspective that their basic distribution and associated generating functions obey the statistical-mechanical structure of systems with interacting degrees of freedom. Based on this fact we look briefly into the less known case of processes that display phase transitions along time. When the density distribution \\psi_{n}(t) for the occurrence of the n-th event at time t is considered to be a partition function, of a 'microcanonical' type for n 'degrees of freedom' at fixed 'energy' t, one obtains a set of fou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0594","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":"1102.0594","created_at":"2026-05-18T02:03:17.274287+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.0594v1","created_at":"2026-05-18T02:03:17.274287+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0594","created_at":"2026-05-18T02:03:17.274287+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q3IZDOUISATO","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q3IZDOUISATOIB25","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q3IZDOUI","created_at":"2026-05-18T12:26:39.201973+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/Q3IZDOUISATOIB25CF3SV4YAJ5","json":"https://pith.science/pith/Q3IZDOUISATOIB25CF3SV4YAJ5.json","graph_json":"https://pith.science/api/pith-number/Q3IZDOUISATOIB25CF3SV4YAJ5/graph.json","events_json":"https://pith.science/api/pith-number/Q3IZDOUISATOIB25CF3SV4YAJ5/events.json","paper":"https://pith.science/paper/Q3IZDOUI"},"agent_actions":{"view_html":"https://pith.science/pith/Q3IZDOUISATOIB25CF3SV4YAJ5","download_json":"https://pith.science/pith/Q3IZDOUISATOIB25CF3SV4YAJ5.json","view_paper":"https://pith.science/paper/Q3IZDOUI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.0594&json=true","fetch_graph":"https://pith.science/api/pith-number/Q3IZDOUISATOIB25CF3SV4YAJ5/graph.json","fetch_events":"https://pith.science/api/pith-number/Q3IZDOUISATOIB25CF3SV4YAJ5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q3IZDOUISATOIB25CF3SV4YAJ5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q3IZDOUISATOIB25CF3SV4YAJ5/action/storage_attestation","attest_author":"https://pith.science/pith/Q3IZDOUISATOIB25CF3SV4YAJ5/action/author_attestation","sign_citation":"https://pith.science/pith/Q3IZDOUISATOIB25CF3SV4YAJ5/action/citation_signature","submit_replication":"https://pith.science/pith/Q3IZDOUISATOIB25CF3SV4YAJ5/action/replication_record"}},"created_at":"2026-05-18T02:03:17.274287+00:00","updated_at":"2026-05-18T02:03:17.274287+00:00"}