{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VVWRULIYUY2FZCEVEOJ6ZQKYG5","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":"c8cd593d4e11edf90be1318926e37c4c31c318f181fc3720c330e1724b84cbc9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2019-04-23T22:03:30Z","title_canon_sha256":"c365402fee33a263311196a3b2764eea147cf05063acdbf90bae47e7aeb86bc6"},"schema_version":"1.0","source":{"id":"1904.10550","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.10550","created_at":"2026-05-17T23:47:53Z"},{"alias_kind":"arxiv_version","alias_value":"1904.10550v1","created_at":"2026-05-17T23:47:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.10550","created_at":"2026-05-17T23:47:53Z"},{"alias_kind":"pith_short_12","alias_value":"VVWRULIYUY2F","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VVWRULIYUY2FZCEV","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VVWRULIY","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:7829b750762b67b65176697d053753ace937be021cf91273da41c1c506c26b90","target":"graph","created_at":"2026-05-17T23:47:53Z","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":"Topological data analysis combines machine learning with methods from algebraic topology. Persistent homology, a method to characterize topological features occurring in data at multiple scales is of particular interest. A major obstacle to the wide-spread use of persistent homology is its computational complexity. In order to be able to calculate persistent homology of large datasets, a number of approximations can be applied in order to reduce its complexity. We propose algorithms for calculation of approximate sparse nerves for classes of Dowker dissimilarities including all finite Dowker d","authors_text":"Morten Brun, Nello Blaser","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2019-04-23T22:03:30Z","title":"Sparse Nerves in Practice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.10550","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":"sha256:553f796263df45af70b15cb5f4fe9b10af1e2fe7e051f76e27ef720d8882a393","target":"record","created_at":"2026-05-17T23:47:53Z","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":"c8cd593d4e11edf90be1318926e37c4c31c318f181fc3720c330e1724b84cbc9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2019-04-23T22:03:30Z","title_canon_sha256":"c365402fee33a263311196a3b2764eea147cf05063acdbf90bae47e7aeb86bc6"},"schema_version":"1.0","source":{"id":"1904.10550","kind":"arxiv","version":1}},"canonical_sha256":"ad6d1a2d18a6345c88952393ecc158375575762b1b85903ca77e8d3e1d48e345","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad6d1a2d18a6345c88952393ecc158375575762b1b85903ca77e8d3e1d48e345","first_computed_at":"2026-05-17T23:47:53.436227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:53.436227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m4WSbN46nd6pavIH1SCpGznkwj04kyblT6W12i7dRZosq+cm+eBzMqG/jKOQ1ZRZdxUPwcxTjX9Nzzu6qi0/Dw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:53.436784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.10550","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:553f796263df45af70b15cb5f4fe9b10af1e2fe7e051f76e27ef720d8882a393","sha256:7829b750762b67b65176697d053753ace937be021cf91273da41c1c506c26b90"],"state_sha256":"222b50e3453fb8724cb91c36b68de8477b75b8438b148007464ecb67e26e7ab4"}