{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:A5RRSHZRTEGMHLOYZYKKPSO44J","short_pith_number":"pith:A5RRSHZR","canonical_record":{"source":{"id":"math/0211392","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"2002-11-25T22:59:33Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"a0becb36d6bb8c85d65f7fb6087ef8657abffb9b6bedc97a4ef3a5c56f06f473","abstract_canon_sha256":"5801f81d1acdaca44bfe979e47fee54dfa2bb43601f8fda571a20e668fe8b5e5"},"schema_version":"1.0"},"canonical_sha256":"0763191f31990cc3add8ce14a7c9dce275991af0d941e3aa19025cbac5faed5b","source":{"kind":"arxiv","id":"math/0211392","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0211392","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"arxiv_version","alias_value":"math/0211392v2","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0211392","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"pith_short_12","alias_value":"A5RRSHZRTEGM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"A5RRSHZRTEGMHLOY","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"A5RRSHZR","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:A5RRSHZRTEGMHLOYZYKKPSO44J","target":"record","payload":{"canonical_record":{"source":{"id":"math/0211392","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"2002-11-25T22:59:33Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"a0becb36d6bb8c85d65f7fb6087ef8657abffb9b6bedc97a4ef3a5c56f06f473","abstract_canon_sha256":"5801f81d1acdaca44bfe979e47fee54dfa2bb43601f8fda571a20e668fe8b5e5"},"schema_version":"1.0"},"canonical_sha256":"0763191f31990cc3add8ce14a7c9dce275991af0d941e3aa19025cbac5faed5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:32.806901Z","signature_b64":"b/HzXDT6jtmGG6q5dzjypkzvybkTwX0JDLxCxb4EawM443VQngDw+7t2YEJQl6hLpr4+LLwg61U4vnytNlWdDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0763191f31990cc3add8ce14a7c9dce275991af0d941e3aa19025cbac5faed5b","last_reissued_at":"2026-05-18T02:41:32.806505Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:32.806505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0211392","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gukh+uZD8hWSYcG+QHKfP916m5Kg+j7XmScAA0nF8LaNlC+t4jnWpH/X/imKNKzMPWDyzjjF6HMGoA7p8Z6FCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T00:46:43.010151Z"},"content_sha256":"1be0e6ddbad852d15ac338066cb6d7f2f0a2cf18aa50e1e478347152eaa95326","schema_version":"1.0","event_id":"sha256:1be0e6ddbad852d15ac338066cb6d7f2f0a2cf18aa50e1e478347152eaa95326"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:A5RRSHZRTEGMHLOYZYKKPSO44J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deformation of string topology into homotopy skein modules","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"math.GT","authors_text":"Uwe Kaiser","submitted_at":"2002-11-25T22:59:33Z","abstract_excerpt":"Relations between the string topology of Chas and Sullivan and the homotopy skein modules of Hoste and Przytycki are studied. This provides new insight into the structure of homotopy skein modules and their meaning in the framework of quantum topology. Our results can be considered as weak extensions to all orientable 3-manifolds of classical results by Turaev and Goldman concerning intersection and skein theory on oriented surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0211392","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"37u4wapTDx8SQoKPsg63QpVeH+M8MwcnngN3QWT8XScnx0TXauRu+cB19j8SqPSuD9J0y4M+AYKJblF5qcqFAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T00:46:43.010522Z"},"content_sha256":"26463d171ad83b0740089be64e9f827b7c1f259b358fb906689ced3c946623d7","schema_version":"1.0","event_id":"sha256:26463d171ad83b0740089be64e9f827b7c1f259b358fb906689ced3c946623d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A5RRSHZRTEGMHLOYZYKKPSO44J/bundle.json","state_url":"https://pith.science/pith/A5RRSHZRTEGMHLOYZYKKPSO44J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A5RRSHZRTEGMHLOYZYKKPSO44J/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-29T00:46:43Z","links":{"resolver":"https://pith.science/pith/A5RRSHZRTEGMHLOYZYKKPSO44J","bundle":"https://pith.science/pith/A5RRSHZRTEGMHLOYZYKKPSO44J/bundle.json","state":"https://pith.science/pith/A5RRSHZRTEGMHLOYZYKKPSO44J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A5RRSHZRTEGMHLOYZYKKPSO44J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:A5RRSHZRTEGMHLOYZYKKPSO44J","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5801f81d1acdaca44bfe979e47fee54dfa2bb43601f8fda571a20e668fe8b5e5","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"math.GT","submitted_at":"2002-11-25T22:59:33Z","title_canon_sha256":"a0becb36d6bb8c85d65f7fb6087ef8657abffb9b6bedc97a4ef3a5c56f06f473"},"schema_version":"1.0","source":{"id":"math/0211392","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0211392","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"arxiv_version","alias_value":"math/0211392v2","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0211392","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"pith_short_12","alias_value":"A5RRSHZRTEGM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"A5RRSHZRTEGMHLOY","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"A5RRSHZR","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:26463d171ad83b0740089be64e9f827b7c1f259b358fb906689ced3c946623d7","target":"graph","created_at":"2026-05-18T02:41:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Relations between the string topology of Chas and Sullivan and the homotopy skein modules of Hoste and Przytycki are studied. This provides new insight into the structure of homotopy skein modules and their meaning in the framework of quantum topology. Our results can be considered as weak extensions to all orientable 3-manifolds of classical results by Turaev and Goldman concerning intersection and skein theory on oriented surfaces.","authors_text":"Uwe Kaiser","cross_cats":["math.QA"],"headline":"","license":"","primary_cat":"math.GT","submitted_at":"2002-11-25T22:59:33Z","title":"Deformation of string topology into homotopy skein modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0211392","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1be0e6ddbad852d15ac338066cb6d7f2f0a2cf18aa50e1e478347152eaa95326","target":"record","created_at":"2026-05-18T02:41:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5801f81d1acdaca44bfe979e47fee54dfa2bb43601f8fda571a20e668fe8b5e5","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"math.GT","submitted_at":"2002-11-25T22:59:33Z","title_canon_sha256":"a0becb36d6bb8c85d65f7fb6087ef8657abffb9b6bedc97a4ef3a5c56f06f473"},"schema_version":"1.0","source":{"id":"math/0211392","kind":"arxiv","version":2}},"canonical_sha256":"0763191f31990cc3add8ce14a7c9dce275991af0d941e3aa19025cbac5faed5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0763191f31990cc3add8ce14a7c9dce275991af0d941e3aa19025cbac5faed5b","first_computed_at":"2026-05-18T02:41:32.806505Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:32.806505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b/HzXDT6jtmGG6q5dzjypkzvybkTwX0JDLxCxb4EawM443VQngDw+7t2YEJQl6hLpr4+LLwg61U4vnytNlWdDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:32.806901Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0211392","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1be0e6ddbad852d15ac338066cb6d7f2f0a2cf18aa50e1e478347152eaa95326","sha256:26463d171ad83b0740089be64e9f827b7c1f259b358fb906689ced3c946623d7"],"state_sha256":"0de45d930927c32113525d799cd881143fa934280523646ffe8fa0f1e074a820"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"leA0ilJynLPoj7uwTRZI3DPlK9cTtHxGYputv78Wv53tIdjnrA2uWs0frGfy6D0o29v5hkDXwK5rI4uFeMTOAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T00:46:43.012353Z","bundle_sha256":"baf5c29f5cc3c9845e8f6b050e52eb6abf6666978a0cd6ae11b116ffa4900971"}}