{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VSMLBYZQTQNVPTIP5U5NKY6NQY","short_pith_number":"pith:VSMLBYZQ","canonical_record":{"source":{"id":"1701.07857","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OH","submitted_at":"2017-01-18T12:27:20Z","cross_cats_sorted":[],"title_canon_sha256":"9dff003b5d40c688c1a66b2c413d5cddae3c4568d81754f297f87306e0d102a0","abstract_canon_sha256":"ef1cfd69c97f7b4872a2c106ba86b5420273203e0557be568d351dbbf7e1e1ee"},"schema_version":"1.0"},"canonical_sha256":"ac98b0e3309c1b57cd0fed3ad563cd861a173141affea2a7a6885ca385ea5508","source":{"kind":"arxiv","id":"1701.07857","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07857","created_at":"2026-05-18T00:51:59Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07857v1","created_at":"2026-05-18T00:51:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07857","created_at":"2026-05-18T00:51:59Z"},{"alias_kind":"pith_short_12","alias_value":"VSMLBYZQTQNV","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VSMLBYZQTQNVPTIP","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VSMLBYZQ","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VSMLBYZQTQNVPTIP5U5NKY6NQY","target":"record","payload":{"canonical_record":{"source":{"id":"1701.07857","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OH","submitted_at":"2017-01-18T12:27:20Z","cross_cats_sorted":[],"title_canon_sha256":"9dff003b5d40c688c1a66b2c413d5cddae3c4568d81754f297f87306e0d102a0","abstract_canon_sha256":"ef1cfd69c97f7b4872a2c106ba86b5420273203e0557be568d351dbbf7e1e1ee"},"schema_version":"1.0"},"canonical_sha256":"ac98b0e3309c1b57cd0fed3ad563cd861a173141affea2a7a6885ca385ea5508","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:59.523939Z","signature_b64":"kmHzum+GXRctNM2oz/lBcdiGIbH0GaOGu+pM8ymwlif+hyiABwt65yXSavKJwpKfUqVIyLu5p9STTLmCKFLmCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac98b0e3309c1b57cd0fed3ad563cd861a173141affea2a7a6885ca385ea5508","last_reissued_at":"2026-05-18T00:51:59.523405Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:59.523405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.07857","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":"2026-05-18T00:51:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YftpRjsO7uhiSDrnATo3FcISN6uBLixddb7uui6MqCz57ClsBC7xaXyfgGp5nPBp3ip+FGLLq38/QgV/gs4uCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:31:09.130890Z"},"content_sha256":"3933af6d484359aaa8f5c8aa4e0af70b9abaa869f9809f7cfb0332aef111a1dc","schema_version":"1.0","event_id":"sha256:3933af6d484359aaa8f5c8aa4e0af70b9abaa869f9809f7cfb0332aef111a1dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VSMLBYZQTQNVPTIP5U5NKY6NQY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Persistent Entropy for Separating Topological Features from Noise in Vietoris-Rips Complexes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.OH","authors_text":"Matteo Rucco, Nieves Atienza, Rocio Gonzalez-Diaz","submitted_at":"2017-01-18T12:27:20Z","abstract_excerpt":"Persistent homology studies the evolution of k-dimensional holes along a nested sequence of simplicial complexes (called a filtration). The set of bars (i.e. intervals) representing birth and death times of k-dimensional holes along such sequence is called the persistence barcode. k-Dimensional holes with short lifetimes are informally considered to be \"topological noise\", and those with long lifetimes are considered to be \"topological features\" associated to the filtration. Persistent entropy is defined as the Shannon entropy of the persistence barcode of a given filtration. In this paper we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07857","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":"2026-05-18T00:51:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TXzzEJ/Ig86g3Wry/z8U/cMHg6z2YFw9Rbkyh3BNBI5q/1eFKXBI3yT7bOsag7BsAxNHhJx7aB2deSqI6OgDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:31:09.131249Z"},"content_sha256":"5bca7d042c612c39bb572fe872e4f41cff4048f9de44b0a78c5c8b588678d032","schema_version":"1.0","event_id":"sha256:5bca7d042c612c39bb572fe872e4f41cff4048f9de44b0a78c5c8b588678d032"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VSMLBYZQTQNVPTIP5U5NKY6NQY/bundle.json","state_url":"https://pith.science/pith/VSMLBYZQTQNVPTIP5U5NKY6NQY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VSMLBYZQTQNVPTIP5U5NKY6NQY/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":"2026-05-27T01:31:09Z","links":{"resolver":"https://pith.science/pith/VSMLBYZQTQNVPTIP5U5NKY6NQY","bundle":"https://pith.science/pith/VSMLBYZQTQNVPTIP5U5NKY6NQY/bundle.json","state":"https://pith.science/pith/VSMLBYZQTQNVPTIP5U5NKY6NQY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VSMLBYZQTQNVPTIP5U5NKY6NQY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VSMLBYZQTQNVPTIP5U5NKY6NQY","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":"ef1cfd69c97f7b4872a2c106ba86b5420273203e0557be568d351dbbf7e1e1ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OH","submitted_at":"2017-01-18T12:27:20Z","title_canon_sha256":"9dff003b5d40c688c1a66b2c413d5cddae3c4568d81754f297f87306e0d102a0"},"schema_version":"1.0","source":{"id":"1701.07857","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07857","created_at":"2026-05-18T00:51:59Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07857v1","created_at":"2026-05-18T00:51:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07857","created_at":"2026-05-18T00:51:59Z"},{"alias_kind":"pith_short_12","alias_value":"VSMLBYZQTQNV","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VSMLBYZQTQNVPTIP","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VSMLBYZQ","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:5bca7d042c612c39bb572fe872e4f41cff4048f9de44b0a78c5c8b588678d032","target":"graph","created_at":"2026-05-18T00:51:59Z","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":"Persistent homology studies the evolution of k-dimensional holes along a nested sequence of simplicial complexes (called a filtration). The set of bars (i.e. intervals) representing birth and death times of k-dimensional holes along such sequence is called the persistence barcode. k-Dimensional holes with short lifetimes are informally considered to be \"topological noise\", and those with long lifetimes are considered to be \"topological features\" associated to the filtration. Persistent entropy is defined as the Shannon entropy of the persistence barcode of a given filtration. In this paper we ","authors_text":"Matteo Rucco, Nieves Atienza, Rocio Gonzalez-Diaz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OH","submitted_at":"2017-01-18T12:27:20Z","title":"Persistent Entropy for Separating Topological Features from Noise in Vietoris-Rips Complexes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07857","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":"sha256:3933af6d484359aaa8f5c8aa4e0af70b9abaa869f9809f7cfb0332aef111a1dc","target":"record","created_at":"2026-05-18T00:51:59Z","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":"ef1cfd69c97f7b4872a2c106ba86b5420273203e0557be568d351dbbf7e1e1ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OH","submitted_at":"2017-01-18T12:27:20Z","title_canon_sha256":"9dff003b5d40c688c1a66b2c413d5cddae3c4568d81754f297f87306e0d102a0"},"schema_version":"1.0","source":{"id":"1701.07857","kind":"arxiv","version":1}},"canonical_sha256":"ac98b0e3309c1b57cd0fed3ad563cd861a173141affea2a7a6885ca385ea5508","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac98b0e3309c1b57cd0fed3ad563cd861a173141affea2a7a6885ca385ea5508","first_computed_at":"2026-05-18T00:51:59.523405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:59.523405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kmHzum+GXRctNM2oz/lBcdiGIbH0GaOGu+pM8ymwlif+hyiABwt65yXSavKJwpKfUqVIyLu5p9STTLmCKFLmCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:59.523939Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.07857","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3933af6d484359aaa8f5c8aa4e0af70b9abaa869f9809f7cfb0332aef111a1dc","sha256:5bca7d042c612c39bb572fe872e4f41cff4048f9de44b0a78c5c8b588678d032"],"state_sha256":"9d7116cd3b421bad38dfbe31d0492f4660c49bd549f62981d555f78346be9c0a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rqeIRGWJLMxcL9s58334LMqJrQjI9+JWX4O4SaiJc7Rmfu1gH48Ly+7ELL4vsxg0PjGlCxGN207m3/gGQVaDBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T01:31:09.133739Z","bundle_sha256":"3c1f2b42a2a08dad79fbbf7ba6cf7282dbbdf6c39a1a2583f3b3894782f4ba1c"}}