{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:77PKAVZBJSQK2DZTGHORHINUGA","short_pith_number":"pith:77PKAVZB","canonical_record":{"source":{"id":"1311.7292","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-28T11:59:36Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"7a6c0257862b009d052c24ed6663c30596a8650021d3fba1961dd9fb5c720333","abstract_canon_sha256":"d65ee4f654882ccae97a7fe61591038d8bab89234e66d0274bad074c72de4c83"},"schema_version":"1.0"},"canonical_sha256":"ffdea057214ca0ad0f3331dd13a1b4303e6e6ade24b4d2bcb17479b770c7e022","source":{"kind":"arxiv","id":"1311.7292","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.7292","created_at":"2026-05-18T03:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"1311.7292v1","created_at":"2026-05-18T03:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.7292","created_at":"2026-05-18T03:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"77PKAVZBJSQK","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"77PKAVZBJSQK2DZT","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"77PKAVZB","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:77PKAVZBJSQK2DZTGHORHINUGA","target":"record","payload":{"canonical_record":{"source":{"id":"1311.7292","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-28T11:59:36Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"7a6c0257862b009d052c24ed6663c30596a8650021d3fba1961dd9fb5c720333","abstract_canon_sha256":"d65ee4f654882ccae97a7fe61591038d8bab89234e66d0274bad074c72de4c83"},"schema_version":"1.0"},"canonical_sha256":"ffdea057214ca0ad0f3331dd13a1b4303e6e6ade24b4d2bcb17479b770c7e022","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:56.678440Z","signature_b64":"4x62pJjCbqwqLyk2+v1vGGFCDMgXKKrf9sQjBC4exuSq5RTlA0jT0J9NDAQlK5M3sAyw8KW9/HK27V2Gw2aADA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ffdea057214ca0ad0f3331dd13a1b4303e6e6ade24b4d2bcb17479b770c7e022","last_reissued_at":"2026-05-18T03:05:56.677949Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:56.677949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.7292","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:05:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NaY15WSoc7YlAKG8qjhtpOaPEy5kCVG4qLqHHypAIuAyF100dQBnt6dU92mU8+lj9XZ/IFBeyMKUSqV9yq6WAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:01:09.698827Z"},"content_sha256":"964907a56762e42205eb73f382ba815a6ed738a00cdec37e5e8b3937e0c40870","schema_version":"1.0","event_id":"sha256:964907a56762e42205eb73f382ba815a6ed738a00cdec37e5e8b3937e0c40870"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:77PKAVZBJSQK2DZTGHORHINUGA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The space of paths in complex projective space with real boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Alexandru Oancea, Nancy Hingston","submitted_at":"2013-11-28T11:59:36Z","abstract_excerpt":"We compute the integral homology of the space of paths in $\\mathbb{C}P^n$ with endpoints in $\\mathbb{R}P^n$, $n \\ge 1$ and its algebra structure with respect to the Pontryagin-Chas-Sullivan product with $\\mathbb{Z}/2$-coefficients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.7292","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:05:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RZ5If259fw+jkHnO5giC4SDF61suH9hGaaKj74joMv1hHvneDtUjeNMIiFs9oIq4pERNDWh140pqhYOFS+WDAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:01:09.699174Z"},"content_sha256":"d61866f6693e3bf2c26b2e1d9c28e6ec7f610f358437f9b83815954576c6007e","schema_version":"1.0","event_id":"sha256:d61866f6693e3bf2c26b2e1d9c28e6ec7f610f358437f9b83815954576c6007e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/77PKAVZBJSQK2DZTGHORHINUGA/bundle.json","state_url":"https://pith.science/pith/77PKAVZBJSQK2DZTGHORHINUGA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/77PKAVZBJSQK2DZTGHORHINUGA/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":"2026-05-30T05:01:09Z","links":{"resolver":"https://pith.science/pith/77PKAVZBJSQK2DZTGHORHINUGA","bundle":"https://pith.science/pith/77PKAVZBJSQK2DZTGHORHINUGA/bundle.json","state":"https://pith.science/pith/77PKAVZBJSQK2DZTGHORHINUGA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/77PKAVZBJSQK2DZTGHORHINUGA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:77PKAVZBJSQK2DZTGHORHINUGA","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":"d65ee4f654882ccae97a7fe61591038d8bab89234e66d0274bad074c72de4c83","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-28T11:59:36Z","title_canon_sha256":"7a6c0257862b009d052c24ed6663c30596a8650021d3fba1961dd9fb5c720333"},"schema_version":"1.0","source":{"id":"1311.7292","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.7292","created_at":"2026-05-18T03:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"1311.7292v1","created_at":"2026-05-18T03:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.7292","created_at":"2026-05-18T03:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"77PKAVZBJSQK","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"77PKAVZBJSQK2DZT","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"77PKAVZB","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:d61866f6693e3bf2c26b2e1d9c28e6ec7f610f358437f9b83815954576c6007e","target":"graph","created_at":"2026-05-18T03:05:56Z","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":"We compute the integral homology of the space of paths in $\\mathbb{C}P^n$ with endpoints in $\\mathbb{R}P^n$, $n \\ge 1$ and its algebra structure with respect to the Pontryagin-Chas-Sullivan product with $\\mathbb{Z}/2$-coefficients.","authors_text":"Alexandru Oancea, Nancy Hingston","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-28T11:59:36Z","title":"The space of paths in complex projective space with real boundary conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.7292","kind":"arxiv","version":1},"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":"sha256:964907a56762e42205eb73f382ba815a6ed738a00cdec37e5e8b3937e0c40870","target":"record","created_at":"2026-05-18T03:05:56Z","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":"d65ee4f654882ccae97a7fe61591038d8bab89234e66d0274bad074c72de4c83","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-28T11:59:36Z","title_canon_sha256":"7a6c0257862b009d052c24ed6663c30596a8650021d3fba1961dd9fb5c720333"},"schema_version":"1.0","source":{"id":"1311.7292","kind":"arxiv","version":1}},"canonical_sha256":"ffdea057214ca0ad0f3331dd13a1b4303e6e6ade24b4d2bcb17479b770c7e022","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffdea057214ca0ad0f3331dd13a1b4303e6e6ade24b4d2bcb17479b770c7e022","first_computed_at":"2026-05-18T03:05:56.677949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:56.677949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4x62pJjCbqwqLyk2+v1vGGFCDMgXKKrf9sQjBC4exuSq5RTlA0jT0J9NDAQlK5M3sAyw8KW9/HK27V2Gw2aADA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:56.678440Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.7292","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:964907a56762e42205eb73f382ba815a6ed738a00cdec37e5e8b3937e0c40870","sha256:d61866f6693e3bf2c26b2e1d9c28e6ec7f610f358437f9b83815954576c6007e"],"state_sha256":"8fc78b210e531b90f66c2d700203b9d878bd190973a9ed0932aac3504ad7023b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U2u3aeUglsyqnQebkHPLMQp9fz3pcyI1+xU2NLBjXvg35xDaLPF2XsP5SpbitixAZ0RStbUOtBou4sFIoG8KDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T05:01:09.701182Z","bundle_sha256":"91364f9283396067570a171cd813165c141b835b3bdd601c9df017a1716190b4"}}