{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:E4XKQS7EJ3PN5WYWP4MG2PZDEC","short_pith_number":"pith:E4XKQS7E","schema_version":"1.0","canonical_sha256":"272ea84be44edededb167f186d3f2320a5b0018ec2ff15a15c201211eed39eb8","source":{"kind":"arxiv","id":"1102.4533","version":1},"attestation_state":"computed","paper":{"title":"Construction of the Paths of Brownian Motions on Star Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"J\\\"urgen Potthoff, Robert Schrader, Vadim Kostrykin","submitted_at":"2011-02-22T15:22:23Z","abstract_excerpt":"Pathwise constructions of Brownian motions which satisfy all possible boundary conditions at the vertex of star graphs are given."},"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":"1102.4533","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-02-22T15:22:23Z","cross_cats_sorted":[],"title_canon_sha256":"ac1a63ba463a415b9eb1a2b0432c3a89f6da06bc80a0a21cb1eff9a6201de501","abstract_canon_sha256":"625bb34f4810dba4e5931c5c44c337dcd30d90122243696310820f58314dd27f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:08.681093Z","signature_b64":"qUbSw9i5OHIpka8fyGJ5cAVFDHM5+v45YxaOqK5mYvaztPZX39qmamx3BfAalEYxWozRUlXIlr+uTtM47LEoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"272ea84be44edededb167f186d3f2320a5b0018ec2ff15a15c201211eed39eb8","last_reissued_at":"2026-05-18T04:28:08.680515Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:08.680515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Construction of the Paths of Brownian Motions on Star Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"J\\\"urgen Potthoff, Robert Schrader, Vadim Kostrykin","submitted_at":"2011-02-22T15:22:23Z","abstract_excerpt":"Pathwise constructions of Brownian motions which satisfy all possible boundary conditions at the vertex of star graphs are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4533","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":"1102.4533","created_at":"2026-05-18T04:28:08.680612+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.4533v1","created_at":"2026-05-18T04:28:08.680612+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4533","created_at":"2026-05-18T04:28:08.680612+00:00"},{"alias_kind":"pith_short_12","alias_value":"E4XKQS7EJ3PN","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"E4XKQS7EJ3PN5WYW","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"E4XKQS7E","created_at":"2026-05-18T12:26:26.731475+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/E4XKQS7EJ3PN5WYWP4MG2PZDEC","json":"https://pith.science/pith/E4XKQS7EJ3PN5WYWP4MG2PZDEC.json","graph_json":"https://pith.science/api/pith-number/E4XKQS7EJ3PN5WYWP4MG2PZDEC/graph.json","events_json":"https://pith.science/api/pith-number/E4XKQS7EJ3PN5WYWP4MG2PZDEC/events.json","paper":"https://pith.science/paper/E4XKQS7E"},"agent_actions":{"view_html":"https://pith.science/pith/E4XKQS7EJ3PN5WYWP4MG2PZDEC","download_json":"https://pith.science/pith/E4XKQS7EJ3PN5WYWP4MG2PZDEC.json","view_paper":"https://pith.science/paper/E4XKQS7E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.4533&json=true","fetch_graph":"https://pith.science/api/pith-number/E4XKQS7EJ3PN5WYWP4MG2PZDEC/graph.json","fetch_events":"https://pith.science/api/pith-number/E4XKQS7EJ3PN5WYWP4MG2PZDEC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E4XKQS7EJ3PN5WYWP4MG2PZDEC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E4XKQS7EJ3PN5WYWP4MG2PZDEC/action/storage_attestation","attest_author":"https://pith.science/pith/E4XKQS7EJ3PN5WYWP4MG2PZDEC/action/author_attestation","sign_citation":"https://pith.science/pith/E4XKQS7EJ3PN5WYWP4MG2PZDEC/action/citation_signature","submit_replication":"https://pith.science/pith/E4XKQS7EJ3PN5WYWP4MG2PZDEC/action/replication_record"}},"created_at":"2026-05-18T04:28:08.680612+00:00","updated_at":"2026-05-18T04:28:08.680612+00:00"}