{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:CXKC4JJSUT6X4ULSWB2PQVIN4D","short_pith_number":"pith:CXKC4JJS","canonical_record":{"source":{"id":"2307.16333","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2023-07-30T22:43:07Z","cross_cats_sorted":[],"title_canon_sha256":"ccf312eb15888a50d33f6214cd66cdd674b94422bbf93f94ada4084de17cc19c","abstract_canon_sha256":"abe9a33d90b9f86c9db62be28ba82045a15431c95ecf0273a4fcab6b34106b48"},"schema_version":"1.0"},"canonical_sha256":"15d42e2532a4fd7e5172b074f8550de0c7d72f139da0550d5681ccbd50d31364","source":{"kind":"arxiv","id":"2307.16333","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.16333","created_at":"2026-06-19T16:12:43Z"},{"alias_kind":"arxiv_version","alias_value":"2307.16333v3","created_at":"2026-06-19T16:12:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.16333","created_at":"2026-06-19T16:12:43Z"},{"alias_kind":"pith_short_12","alias_value":"CXKC4JJSUT6X","created_at":"2026-06-19T16:12:43Z"},{"alias_kind":"pith_short_16","alias_value":"CXKC4JJSUT6X4ULS","created_at":"2026-06-19T16:12:43Z"},{"alias_kind":"pith_short_8","alias_value":"CXKC4JJS","created_at":"2026-06-19T16:12:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:CXKC4JJSUT6X4ULSWB2PQVIN4D","target":"record","payload":{"canonical_record":{"source":{"id":"2307.16333","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2023-07-30T22:43:07Z","cross_cats_sorted":[],"title_canon_sha256":"ccf312eb15888a50d33f6214cd66cdd674b94422bbf93f94ada4084de17cc19c","abstract_canon_sha256":"abe9a33d90b9f86c9db62be28ba82045a15431c95ecf0273a4fcab6b34106b48"},"schema_version":"1.0"},"canonical_sha256":"15d42e2532a4fd7e5172b074f8550de0c7d72f139da0550d5681ccbd50d31364","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:43.826681Z","signature_b64":"UWTQkiOBOmCz/RiyT9APyT566+NQOPLP7oKdkaHQUS0KtZAHtipj7iq/Inp8YkErQR2cAo5+mLNAFZi71y0YBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15d42e2532a4fd7e5172b074f8550de0c7d72f139da0550d5681ccbd50d31364","last_reissued_at":"2026-06-19T16:12:43.826227Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:43.826227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2307.16333","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-19T16:12:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xMIFBZJCC+6zxwMdE+1aMZMFWSkLGGKyVwR/Bc3hSFzzz7tDg/mn0aCw/uK9QbBllAQVpfNkvEtP9zUogspbCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T17:51:29.296178Z"},"content_sha256":"afe644201215fa72bdd2cceb27fd8c2060b25d251edd55c4e1726ae99ccc2fa6","schema_version":"1.0","event_id":"sha256:afe644201215fa72bdd2cceb27fd8c2060b25d251edd55c4e1726ae99ccc2fa6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:CXKC4JJSUT6X4ULSWB2PQVIN4D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Computation of degree-1 persistent homology on larger point-clouds using the Reduced Vietoris-Rips filtration","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Facundo M\\'emoli, Katharine Turner, Musashi Ayrton Koyama, Vanessa Robins","submitted_at":"2023-07-30T22:43:07Z","abstract_excerpt":"Computing Persistent Homology for large point clouds remains a bottleneck for the wider adoption of persistent homology by the scientific community. We present an algorithm which can compute the degree-1 Vietoris-Rips Persistent Homology of point clouds in low dimensional Euclidean Space for larger point clouds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.16333","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2307.16333/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-19T16:12:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EimCCQtg4poTBCjOQLoeENgYYVJkIAGb/hx5cTXGpEg2fGgRi27blJmLScoqyoP0faVpJbKnmFMiIR5zMioMBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T17:51:29.296555Z"},"content_sha256":"a5905a42e5158ccb73e06c1184dfd365332e58abd9296d3b49b8d57405b432e7","schema_version":"1.0","event_id":"sha256:a5905a42e5158ccb73e06c1184dfd365332e58abd9296d3b49b8d57405b432e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CXKC4JJSUT6X4ULSWB2PQVIN4D/bundle.json","state_url":"https://pith.science/pith/CXKC4JJSUT6X4ULSWB2PQVIN4D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CXKC4JJSUT6X4ULSWB2PQVIN4D/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":"2026-06-26T17:51:29Z","links":{"resolver":"https://pith.science/pith/CXKC4JJSUT6X4ULSWB2PQVIN4D","bundle":"https://pith.science/pith/CXKC4JJSUT6X4ULSWB2PQVIN4D/bundle.json","state":"https://pith.science/pith/CXKC4JJSUT6X4ULSWB2PQVIN4D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CXKC4JJSUT6X4ULSWB2PQVIN4D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:CXKC4JJSUT6X4ULSWB2PQVIN4D","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":"abe9a33d90b9f86c9db62be28ba82045a15431c95ecf0273a4fcab6b34106b48","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2023-07-30T22:43:07Z","title_canon_sha256":"ccf312eb15888a50d33f6214cd66cdd674b94422bbf93f94ada4084de17cc19c"},"schema_version":"1.0","source":{"id":"2307.16333","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.16333","created_at":"2026-06-19T16:12:43Z"},{"alias_kind":"arxiv_version","alias_value":"2307.16333v3","created_at":"2026-06-19T16:12:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.16333","created_at":"2026-06-19T16:12:43Z"},{"alias_kind":"pith_short_12","alias_value":"CXKC4JJSUT6X","created_at":"2026-06-19T16:12:43Z"},{"alias_kind":"pith_short_16","alias_value":"CXKC4JJSUT6X4ULS","created_at":"2026-06-19T16:12:43Z"},{"alias_kind":"pith_short_8","alias_value":"CXKC4JJS","created_at":"2026-06-19T16:12:43Z"}],"graph_snapshots":[{"event_id":"sha256:a5905a42e5158ccb73e06c1184dfd365332e58abd9296d3b49b8d57405b432e7","target":"graph","created_at":"2026-06-19T16:12:43Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2307.16333/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Computing Persistent Homology for large point clouds remains a bottleneck for the wider adoption of persistent homology by the scientific community. We present an algorithm which can compute the degree-1 Vietoris-Rips Persistent Homology of point clouds in low dimensional Euclidean Space for larger point clouds.","authors_text":"Facundo M\\'emoli, Katharine Turner, Musashi Ayrton Koyama, Vanessa Robins","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2023-07-30T22:43:07Z","title":"Computation of degree-1 persistent homology on larger point-clouds using the Reduced Vietoris-Rips filtration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.16333","kind":"arxiv","version":3},"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:afe644201215fa72bdd2cceb27fd8c2060b25d251edd55c4e1726ae99ccc2fa6","target":"record","created_at":"2026-06-19T16:12:43Z","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":"abe9a33d90b9f86c9db62be28ba82045a15431c95ecf0273a4fcab6b34106b48","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2023-07-30T22:43:07Z","title_canon_sha256":"ccf312eb15888a50d33f6214cd66cdd674b94422bbf93f94ada4084de17cc19c"},"schema_version":"1.0","source":{"id":"2307.16333","kind":"arxiv","version":3}},"canonical_sha256":"15d42e2532a4fd7e5172b074f8550de0c7d72f139da0550d5681ccbd50d31364","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15d42e2532a4fd7e5172b074f8550de0c7d72f139da0550d5681ccbd50d31364","first_computed_at":"2026-06-19T16:12:43.826227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:43.826227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UWTQkiOBOmCz/RiyT9APyT566+NQOPLP7oKdkaHQUS0KtZAHtipj7iq/Inp8YkErQR2cAo5+mLNAFZi71y0YBA==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:43.826681Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.16333","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afe644201215fa72bdd2cceb27fd8c2060b25d251edd55c4e1726ae99ccc2fa6","sha256:a5905a42e5158ccb73e06c1184dfd365332e58abd9296d3b49b8d57405b432e7"],"state_sha256":"b9dc5423fcf80f542f64e4fc920d91f9f3b09bb87aa46c6f14819387803a3f97"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z/Yo2xHHYJr5Ha1E4Zbmo8QbmgKwYhDGg92jwZTkFo+WgbHj+6yQ/RhuaVA3Tk01sswHLY9ula2FdMqfyajbDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T17:51:29.298461Z","bundle_sha256":"f175ed0271f46a432c70a9cd63e531b8057e1a4a9314640489920e9b43fa5099"}}