{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:E6WLUHH777GFUHUYYG2UP2S33W","short_pith_number":"pith:E6WLUHH7","schema_version":"1.0","canonical_sha256":"27acba1cffffcc5a1e98c1b547ea5bddb8af55134c66143b079edd1003ac0322","source":{"kind":"arxiv","id":"1912.08913","version":2},"attestation_state":"computed","paper":{"title":"Reconstructing Embedded Graphs from Persistence Diagrams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Anna Schenfisch, Brittany Terese Fasy, Daniel Salinas, David L. Millman, Jordan Schupbach, Lucia Williams, Robin Lynne Belton, Rostik Mertz, Samuel Micka","submitted_at":"2019-12-18T22:09:38Z","abstract_excerpt":"The persistence diagram (PD) is an increasingly popular topological descriptor. By encoding the size and prominence of topological features at varying scales, the PD provides important geometric and topological information about a space. Recent work has shown that well-chosen (finite) sets of PDs can differentiate between geometric simplicial complexes, providing a method for representing complex shapes using a finite set of descriptors. A related inverse problem is the following: given a set of PDs (or an oracle we can query for persistence diagrams), what is underlying geometric simplicial c"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1912.08913","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-12-18T22:09:38Z","cross_cats_sorted":[],"title_canon_sha256":"565f434987f607e81c57c804e059509eff867d48b3d9f4a7b4e1b4a15c37bd7b","abstract_canon_sha256":"52809324ff8b652acbfa67381e1857566de10a26170d551ca72582d9d35a3f58"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:11:23.398042Z","signature_b64":"0QgpuEShM6CX6Xfr64PpHEsJvco+4K4Zi5BiNMIhOaE+L1fQk/2NoxTKsEE0sYoqQ8QuNvNX88IXesWWJR+6BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27acba1cffffcc5a1e98c1b547ea5bddb8af55134c66143b079edd1003ac0322","last_reissued_at":"2026-07-05T01:11:23.397603Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:11:23.397603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reconstructing Embedded Graphs from Persistence Diagrams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Anna Schenfisch, Brittany Terese Fasy, Daniel Salinas, David L. Millman, Jordan Schupbach, Lucia Williams, Robin Lynne Belton, Rostik Mertz, Samuel Micka","submitted_at":"2019-12-18T22:09:38Z","abstract_excerpt":"The persistence diagram (PD) is an increasingly popular topological descriptor. By encoding the size and prominence of topological features at varying scales, the PD provides important geometric and topological information about a space. Recent work has shown that well-chosen (finite) sets of PDs can differentiate between geometric simplicial complexes, providing a method for representing complex shapes using a finite set of descriptors. A related inverse problem is the following: given a set of PDs (or an oracle we can query for persistence diagrams), what is underlying geometric simplicial c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.08913","kind":"arxiv","version":2},"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/1912.08913/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1912.08913","created_at":"2026-07-05T01:11:23.397666+00:00"},{"alias_kind":"arxiv_version","alias_value":"1912.08913v2","created_at":"2026-07-05T01:11:23.397666+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.08913","created_at":"2026-07-05T01:11:23.397666+00:00"},{"alias_kind":"pith_short_12","alias_value":"E6WLUHH777GF","created_at":"2026-07-05T01:11:23.397666+00:00"},{"alias_kind":"pith_short_16","alias_value":"E6WLUHH777GFUHUY","created_at":"2026-07-05T01:11:23.397666+00:00"},{"alias_kind":"pith_short_8","alias_value":"E6WLUHH7","created_at":"2026-07-05T01:11:23.397666+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/E6WLUHH777GFUHUYYG2UP2S33W","json":"https://pith.science/pith/E6WLUHH777GFUHUYYG2UP2S33W.json","graph_json":"https://pith.science/api/pith-number/E6WLUHH777GFUHUYYG2UP2S33W/graph.json","events_json":"https://pith.science/api/pith-number/E6WLUHH777GFUHUYYG2UP2S33W/events.json","paper":"https://pith.science/paper/E6WLUHH7"},"agent_actions":{"view_html":"https://pith.science/pith/E6WLUHH777GFUHUYYG2UP2S33W","download_json":"https://pith.science/pith/E6WLUHH777GFUHUYYG2UP2S33W.json","view_paper":"https://pith.science/paper/E6WLUHH7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1912.08913&json=true","fetch_graph":"https://pith.science/api/pith-number/E6WLUHH777GFUHUYYG2UP2S33W/graph.json","fetch_events":"https://pith.science/api/pith-number/E6WLUHH777GFUHUYYG2UP2S33W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E6WLUHH777GFUHUYYG2UP2S33W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E6WLUHH777GFUHUYYG2UP2S33W/action/storage_attestation","attest_author":"https://pith.science/pith/E6WLUHH777GFUHUYYG2UP2S33W/action/author_attestation","sign_citation":"https://pith.science/pith/E6WLUHH777GFUHUYYG2UP2S33W/action/citation_signature","submit_replication":"https://pith.science/pith/E6WLUHH777GFUHUYYG2UP2S33W/action/replication_record"}},"created_at":"2026-07-05T01:11:23.397666+00:00","updated_at":"2026-07-05T01:11:23.397666+00:00"}