{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:SXNPHOEU74R55XT5DHXJHCZYQO","short_pith_number":"pith:SXNPHOEU","schema_version":"1.0","canonical_sha256":"95daf3b894ff23dede7d19ee938b38838624d262d5cb22aee399980cfa8c585a","source":{"kind":"arxiv","id":"1405.2879","version":2},"attestation_state":"computed","paper":{"title":"Markov loops, complex free field and Eulerian circuits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Yves Le Jan (LM-Orsay)","submitted_at":"2014-05-12T19:11:46Z","abstract_excerpt":"We study the complex free field associated with a symmetric Markov chain. Applications are given to loop ensembles, second Ray Knight theorem and random Eulerian circuits."},"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":"1405.2879","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-05-12T19:11:46Z","cross_cats_sorted":[],"title_canon_sha256":"499c86065bbec10c135941aea8fc642ca9b9865e76d8b52f0634e216549e0782","abstract_canon_sha256":"eb59f9a83f08eba9d0f7fd96aaefc03d10dfafe405c55865323ddfcc100ccda8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:33.813708Z","signature_b64":"P3oBcbxsxmWsKt2nJpLL0DtjEP5ung5QRVdaP8UMM8K8/OnEseb3hzmnmTZJMDMFAkSwQm8yRBUFSCYSTuJgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95daf3b894ff23dede7d19ee938b38838624d262d5cb22aee399980cfa8c585a","last_reissued_at":"2026-05-18T02:30:33.813143Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:33.813143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Markov loops, complex free field and Eulerian circuits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Yves Le Jan (LM-Orsay)","submitted_at":"2014-05-12T19:11:46Z","abstract_excerpt":"We study the complex free field associated with a symmetric Markov chain. Applications are given to loop ensembles, second Ray Knight theorem and random Eulerian circuits."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2879","kind":"arxiv","version":2},"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":"1405.2879","created_at":"2026-05-18T02:30:33.813225+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.2879v2","created_at":"2026-05-18T02:30:33.813225+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2879","created_at":"2026-05-18T02:30:33.813225+00:00"},{"alias_kind":"pith_short_12","alias_value":"SXNPHOEU74R5","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"SXNPHOEU74R55XT5","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"SXNPHOEU","created_at":"2026-05-18T12:28:49.207871+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.05187","citing_title":"On discrete loop signatures and Markov loops topology","ref_index":9,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SXNPHOEU74R55XT5DHXJHCZYQO","json":"https://pith.science/pith/SXNPHOEU74R55XT5DHXJHCZYQO.json","graph_json":"https://pith.science/api/pith-number/SXNPHOEU74R55XT5DHXJHCZYQO/graph.json","events_json":"https://pith.science/api/pith-number/SXNPHOEU74R55XT5DHXJHCZYQO/events.json","paper":"https://pith.science/paper/SXNPHOEU"},"agent_actions":{"view_html":"https://pith.science/pith/SXNPHOEU74R55XT5DHXJHCZYQO","download_json":"https://pith.science/pith/SXNPHOEU74R55XT5DHXJHCZYQO.json","view_paper":"https://pith.science/paper/SXNPHOEU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.2879&json=true","fetch_graph":"https://pith.science/api/pith-number/SXNPHOEU74R55XT5DHXJHCZYQO/graph.json","fetch_events":"https://pith.science/api/pith-number/SXNPHOEU74R55XT5DHXJHCZYQO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SXNPHOEU74R55XT5DHXJHCZYQO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SXNPHOEU74R55XT5DHXJHCZYQO/action/storage_attestation","attest_author":"https://pith.science/pith/SXNPHOEU74R55XT5DHXJHCZYQO/action/author_attestation","sign_citation":"https://pith.science/pith/SXNPHOEU74R55XT5DHXJHCZYQO/action/citation_signature","submit_replication":"https://pith.science/pith/SXNPHOEU74R55XT5DHXJHCZYQO/action/replication_record"}},"created_at":"2026-05-18T02:30:33.813225+00:00","updated_at":"2026-05-18T02:30:33.813225+00:00"}