{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:DGA6PR24KCCY7DU6VQSILHCFQX","short_pith_number":"pith:DGA6PR24","schema_version":"1.0","canonical_sha256":"1981e7c75c50858f8e9eac24859c4585daac88a974acdb7870de2eb7c9c04484","source":{"kind":"arxiv","id":"1203.3768","version":1},"attestation_state":"computed","paper":{"title":"Iterated integrals over higher dimensional loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.DG","authors_text":"Anton Deitmar, Ivan Horozov","submitted_at":"2012-03-16T17:29:06Z","abstract_excerpt":"We give a definition of higher dimensional iterated integrals based on integration over membranes. We prove basic properties of this definition and formulate a conjecture which extends Chen's de Rham Theorem for iterated integrals to the membrane case."},"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":"1203.3768","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-16T17:29:06Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"e1dbcfb4ec809f817a7e5cd6936cdbc970b81b32759b4a82d878464b6423da31","abstract_canon_sha256":"f5f5d5da518bd13ca9a35276464007019039ab05e1aa0e44b95d33c3087c375f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:49.935664Z","signature_b64":"V2MmZJXYlmWdniTP8NWQU1iJJr9r2ewVPxBnSBfvalDlFFPYczMKVrMkx5esU5NxPOKEs/FeOGkt1k3+BHmeCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1981e7c75c50858f8e9eac24859c4585daac88a974acdb7870de2eb7c9c04484","last_reissued_at":"2026-05-18T03:59:49.935206Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:49.935206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Iterated integrals over higher dimensional loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.DG","authors_text":"Anton Deitmar, Ivan Horozov","submitted_at":"2012-03-16T17:29:06Z","abstract_excerpt":"We give a definition of higher dimensional iterated integrals based on integration over membranes. We prove basic properties of this definition and formulate a conjecture which extends Chen's de Rham Theorem for iterated integrals to the membrane case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3768","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":"1203.3768","created_at":"2026-05-18T03:59:49.935274+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.3768v1","created_at":"2026-05-18T03:59:49.935274+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3768","created_at":"2026-05-18T03:59:49.935274+00:00"},{"alias_kind":"pith_short_12","alias_value":"DGA6PR24KCCY","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"DGA6PR24KCCY7DU6","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"DGA6PR24","created_at":"2026-05-18T12:27:04.183437+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/DGA6PR24KCCY7DU6VQSILHCFQX","json":"https://pith.science/pith/DGA6PR24KCCY7DU6VQSILHCFQX.json","graph_json":"https://pith.science/api/pith-number/DGA6PR24KCCY7DU6VQSILHCFQX/graph.json","events_json":"https://pith.science/api/pith-number/DGA6PR24KCCY7DU6VQSILHCFQX/events.json","paper":"https://pith.science/paper/DGA6PR24"},"agent_actions":{"view_html":"https://pith.science/pith/DGA6PR24KCCY7DU6VQSILHCFQX","download_json":"https://pith.science/pith/DGA6PR24KCCY7DU6VQSILHCFQX.json","view_paper":"https://pith.science/paper/DGA6PR24","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.3768&json=true","fetch_graph":"https://pith.science/api/pith-number/DGA6PR24KCCY7DU6VQSILHCFQX/graph.json","fetch_events":"https://pith.science/api/pith-number/DGA6PR24KCCY7DU6VQSILHCFQX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DGA6PR24KCCY7DU6VQSILHCFQX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DGA6PR24KCCY7DU6VQSILHCFQX/action/storage_attestation","attest_author":"https://pith.science/pith/DGA6PR24KCCY7DU6VQSILHCFQX/action/author_attestation","sign_citation":"https://pith.science/pith/DGA6PR24KCCY7DU6VQSILHCFQX/action/citation_signature","submit_replication":"https://pith.science/pith/DGA6PR24KCCY7DU6VQSILHCFQX/action/replication_record"}},"created_at":"2026-05-18T03:59:49.935274+00:00","updated_at":"2026-05-18T03:59:49.935274+00:00"}