{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:OO54DUUYR4TCEAPSBIBX4YEPHQ","short_pith_number":"pith:OO54DUUY","schema_version":"1.0","canonical_sha256":"73bbc1d2988f262201f20a037e608f3c1dfe8687f843606e1850ff313f991f56","source":{"kind":"arxiv","id":"1510.04172","version":1},"attestation_state":"computed","paper":{"title":"Note on the Signatures of Rough Paths in a Banach Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.CA","authors_text":"Danyu Yang, Horatio Boedihardjo, Terry Lyons, Xi Geng","submitted_at":"2015-10-06T19:58:59Z","abstract_excerpt":"We prove some results, which are used in arXiv:1406.7871, about weakly geometric rough paths that are well-known in finite dimensions, but need proof in the infinite dimensional setting."},"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":"1510.04172","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-10-06T19:58:59Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"f938466df7419f7636052f8c75f19767ba04e35cf635bdea601e890972ce2b17","abstract_canon_sha256":"dbe2d1520ed800f69f4ce568eb7772748312c5075f13ce3a0167b925a7a3eda4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:09.025273Z","signature_b64":"wwX3SarELbzDa2armfymITFlLoLILuc7/LpLBUUmWG9V7yzC9sv6kn3FuHM4TrbRPm4f5CZxjllaEHcFMhacAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73bbc1d2988f262201f20a037e608f3c1dfe8687f843606e1850ff313f991f56","last_reissued_at":"2026-05-18T01:30:09.024659Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:09.024659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Note on the Signatures of Rough Paths in a Banach Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.CA","authors_text":"Danyu Yang, Horatio Boedihardjo, Terry Lyons, Xi Geng","submitted_at":"2015-10-06T19:58:59Z","abstract_excerpt":"We prove some results, which are used in arXiv:1406.7871, about weakly geometric rough paths that are well-known in finite dimensions, but need proof in the infinite dimensional setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04172","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":"1510.04172","created_at":"2026-05-18T01:30:09.024750+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.04172v1","created_at":"2026-05-18T01:30:09.024750+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04172","created_at":"2026-05-18T01:30:09.024750+00:00"},{"alias_kind":"pith_short_12","alias_value":"OO54DUUYR4TC","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"OO54DUUYR4TCEAPS","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"OO54DUUY","created_at":"2026-05-18T12:29:34.919912+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/OO54DUUYR4TCEAPSBIBX4YEPHQ","json":"https://pith.science/pith/OO54DUUYR4TCEAPSBIBX4YEPHQ.json","graph_json":"https://pith.science/api/pith-number/OO54DUUYR4TCEAPSBIBX4YEPHQ/graph.json","events_json":"https://pith.science/api/pith-number/OO54DUUYR4TCEAPSBIBX4YEPHQ/events.json","paper":"https://pith.science/paper/OO54DUUY"},"agent_actions":{"view_html":"https://pith.science/pith/OO54DUUYR4TCEAPSBIBX4YEPHQ","download_json":"https://pith.science/pith/OO54DUUYR4TCEAPSBIBX4YEPHQ.json","view_paper":"https://pith.science/paper/OO54DUUY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.04172&json=true","fetch_graph":"https://pith.science/api/pith-number/OO54DUUYR4TCEAPSBIBX4YEPHQ/graph.json","fetch_events":"https://pith.science/api/pith-number/OO54DUUYR4TCEAPSBIBX4YEPHQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OO54DUUYR4TCEAPSBIBX4YEPHQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OO54DUUYR4TCEAPSBIBX4YEPHQ/action/storage_attestation","attest_author":"https://pith.science/pith/OO54DUUYR4TCEAPSBIBX4YEPHQ/action/author_attestation","sign_citation":"https://pith.science/pith/OO54DUUYR4TCEAPSBIBX4YEPHQ/action/citation_signature","submit_replication":"https://pith.science/pith/OO54DUUYR4TCEAPSBIBX4YEPHQ/action/replication_record"}},"created_at":"2026-05-18T01:30:09.024750+00:00","updated_at":"2026-05-18T01:30:09.024750+00:00"}