{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2VDB4YW5WTACNARJZAKHLA3ZBB","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":"11b501dfb6d9bbc9105fc7d382a042afb93b282ea7c2ba21bf4a426a6ee683d5","cross_cats_sorted":["math.AT","q-bio.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2018-12-04T12:13:05Z","title_canon_sha256":"fd9011dcbf9276d494ecad1f5fb9a082abf7a03f56e6d08781cc15bdf4a1c1de"},"schema_version":"1.0","source":{"id":"1812.01360","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.01360","created_at":"2026-05-17T23:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"1812.01360v1","created_at":"2026-05-17T23:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01360","created_at":"2026-05-17T23:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"2VDB4YW5WTAC","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2VDB4YW5WTACNARJ","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2VDB4YW5","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:b3155f17f896af2b37d7de00f731f38a5e33de7bac260cda90d3292c26ab624e","target":"graph","created_at":"2026-05-17T23:59:12Z","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":"In this article, we show how the recent statistical techniques developed in Topological Data Analysis for the Mapper algorithm can be extended and leveraged to formally define and statistically quantify the presence of topological structures coming from biological phenomena in datasets of CCC contact maps.","authors_text":"Mathieu Carriere, Raul Rabadan","cross_cats":["math.AT","q-bio.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2018-12-04T12:13:05Z","title":"Topological Data Analysis of Single-cell Hi-C Contact Maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01360","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":"sha256:05bd636b2de875fbd9198eae6cd70eb0c83fcbccbfd5cfd8ef6d5c7c988ab74c","target":"record","created_at":"2026-05-17T23:59:12Z","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":"11b501dfb6d9bbc9105fc7d382a042afb93b282ea7c2ba21bf4a426a6ee683d5","cross_cats_sorted":["math.AT","q-bio.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2018-12-04T12:13:05Z","title_canon_sha256":"fd9011dcbf9276d494ecad1f5fb9a082abf7a03f56e6d08781cc15bdf4a1c1de"},"schema_version":"1.0","source":{"id":"1812.01360","kind":"arxiv","version":1}},"canonical_sha256":"d5461e62ddb4c0268229c8147583790876d3a39cf444de359907892e0a554e22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5461e62ddb4c0268229c8147583790876d3a39cf444de359907892e0a554e22","first_computed_at":"2026-05-17T23:59:12.684425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:12.684425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E6tDgUbGtFioLJMaTZ0ZGnQ4y83ziKGTNG9ypx90r5ZCMk7Pu8YVCrQb9V04mAEGVKWpRQEAnW+IC3chwLkaCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:12.685080Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.01360","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05bd636b2de875fbd9198eae6cd70eb0c83fcbccbfd5cfd8ef6d5c7c988ab74c","sha256:b3155f17f896af2b37d7de00f731f38a5e33de7bac260cda90d3292c26ab624e"],"state_sha256":"c68c3590728590a7c532efd114d62549e79e321e4663ed8816540837d7d2fe64"}