{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:YFK6VVQP637T3TTHFRMVULO4OG","short_pith_number":"pith:YFK6VVQP","schema_version":"1.0","canonical_sha256":"c155ead60ff6ff3dce672c595a2ddc718a85fd7396befa827b66cf2c7e1fb0e6","source":{"kind":"arxiv","id":"1802.01032","version":3},"attestation_state":"computed","paper":{"title":"On Markovian random networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Yves Le Jan","submitted_at":"2018-02-03T21:17:24Z","abstract_excerpt":"We investigate random Eulerian networks defined by Markov loops and the associated fields, flows and maps."},"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":"1802.01032","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-02-03T21:17:24Z","cross_cats_sorted":[],"title_canon_sha256":"30f2a70c8028c43733b3c2e658cbc512ba66ce3686eac9a8da5f636fbf688225","abstract_canon_sha256":"b63464a5ca1ae52cf7f24c9b12c6359de1c72da7a7f7ef7cadc8176d4e30534b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:37.299049Z","signature_b64":"HWD8350N/Advd1qUkhP/wzBbzM9Su/9Vi37G0YFelojeWlY84SVtlniMd2RLZ6vCi9SQ9j39KzOQLW7azZLLCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c155ead60ff6ff3dce672c595a2ddc718a85fd7396befa827b66cf2c7e1fb0e6","last_reissued_at":"2026-05-18T00:13:37.298136Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:37.298136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Markovian random networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Yves Le Jan","submitted_at":"2018-02-03T21:17:24Z","abstract_excerpt":"We investigate random Eulerian networks defined by Markov loops and the associated fields, flows and maps."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01032","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":"1802.01032","created_at":"2026-05-18T00:13:37.298238+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.01032v3","created_at":"2026-05-18T00:13:37.298238+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01032","created_at":"2026-05-18T00:13:37.298238+00:00"},{"alias_kind":"pith_short_12","alias_value":"YFK6VVQP637T","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_16","alias_value":"YFK6VVQP637T3TTH","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_8","alias_value":"YFK6VVQP","created_at":"2026-05-18T12:33:04.347982+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/YFK6VVQP637T3TTHFRMVULO4OG","json":"https://pith.science/pith/YFK6VVQP637T3TTHFRMVULO4OG.json","graph_json":"https://pith.science/api/pith-number/YFK6VVQP637T3TTHFRMVULO4OG/graph.json","events_json":"https://pith.science/api/pith-number/YFK6VVQP637T3TTHFRMVULO4OG/events.json","paper":"https://pith.science/paper/YFK6VVQP"},"agent_actions":{"view_html":"https://pith.science/pith/YFK6VVQP637T3TTHFRMVULO4OG","download_json":"https://pith.science/pith/YFK6VVQP637T3TTHFRMVULO4OG.json","view_paper":"https://pith.science/paper/YFK6VVQP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.01032&json=true","fetch_graph":"https://pith.science/api/pith-number/YFK6VVQP637T3TTHFRMVULO4OG/graph.json","fetch_events":"https://pith.science/api/pith-number/YFK6VVQP637T3TTHFRMVULO4OG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YFK6VVQP637T3TTHFRMVULO4OG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YFK6VVQP637T3TTHFRMVULO4OG/action/storage_attestation","attest_author":"https://pith.science/pith/YFK6VVQP637T3TTHFRMVULO4OG/action/author_attestation","sign_citation":"https://pith.science/pith/YFK6VVQP637T3TTHFRMVULO4OG/action/citation_signature","submit_replication":"https://pith.science/pith/YFK6VVQP637T3TTHFRMVULO4OG/action/replication_record"}},"created_at":"2026-05-18T00:13:37.298238+00:00","updated_at":"2026-05-18T00:13:37.298238+00:00"}