{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2CPCYHG22AV5IBUCIKQOZTBAFA","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":"d7b0c2a9a9923925fae0a581f3e21e579ad2abd4b7ed363dd6e5fab27dc28c2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2011-08-17T18:44:38Z","title_canon_sha256":"0e59f07f7f55122664fdc556343281235ef285c534491f69b70b55ecfb3cf070"},"schema_version":"1.0","source":{"id":"1108.3545","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.3545","created_at":"2026-05-18T04:15:17Z"},{"alias_kind":"arxiv_version","alias_value":"1108.3545v1","created_at":"2026-05-18T04:15:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3545","created_at":"2026-05-18T04:15:17Z"},{"alias_kind":"pith_short_12","alias_value":"2CPCYHG22AV5","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2CPCYHG22AV5IBUC","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2CPCYHG2","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:4cc4b4fb11039a579e81a2b38d1268805fd046c07a084b0d9eeab8eb911d20e5","target":"graph","created_at":"2026-05-18T04:15:17Z","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":"The theory of zigzag persistence is a substantial extension of persistent homology, and its development has enabled the investigation of several unexplored avenues in the area of topological data analysis. In this paper, we discuss three applications of zigzag persistence: topological bootstrapping, parameter thresholding, and the comparison of witness complexes.","authors_text":"Andrew Tausz, Gunnar Carlsson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2011-08-17T18:44:38Z","title":"Applications of Zigzag Persistence to Topological Data Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3545","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:cc9a9142f23aa1c91194a02f3f65ac8796335448bc7bf0218d6c5f98dd164b7c","target":"record","created_at":"2026-05-18T04:15:17Z","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":"d7b0c2a9a9923925fae0a581f3e21e579ad2abd4b7ed363dd6e5fab27dc28c2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2011-08-17T18:44:38Z","title_canon_sha256":"0e59f07f7f55122664fdc556343281235ef285c534491f69b70b55ecfb3cf070"},"schema_version":"1.0","source":{"id":"1108.3545","kind":"arxiv","version":1}},"canonical_sha256":"d09e2c1cdad02bd4068242a0eccc20281c2f3a0038b15302acd5bca82b949b2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d09e2c1cdad02bd4068242a0eccc20281c2f3a0038b15302acd5bca82b949b2e","first_computed_at":"2026-05-18T04:15:17.415438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:17.415438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F+FfYOLqViW0xVVPC9FeJ0TjKLQFmz3hb8w4NBudHMNsauiSGBlFEx9kAyXSDy6JB66fXYGFcHnliuM3leUWAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:17.416310Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.3545","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc9a9142f23aa1c91194a02f3f65ac8796335448bc7bf0218d6c5f98dd164b7c","sha256:4cc4b4fb11039a579e81a2b38d1268805fd046c07a084b0d9eeab8eb911d20e5"],"state_sha256":"0bf7d16b3c596d5bfac81660257f020ccefbc48ca8ea2a3a1223da8d7b4c08c5"}