{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:HSBCW26FVYDF4EJHBLWGSOERY5","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":"3edb41d18d65c9e4f32592d0231b63bcc08001c5805867459026a0ee1b5f49b8","cross_cats_sorted":["cs.DS","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2021-05-25T20:44:28Z","title_canon_sha256":"258ce97e7c4d2fdb6cbd797776ae7a7c0da024bcfac553c0c6bee5837947818f"},"schema_version":"1.0","source":{"id":"2105.12208","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.12208","created_at":"2026-07-05T03:05:02Z"},{"alias_kind":"arxiv_version","alias_value":"2105.12208v2","created_at":"2026-07-05T03:05:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.12208","created_at":"2026-07-05T03:05:02Z"},{"alias_kind":"pith_short_12","alias_value":"HSBCW26FVYDF","created_at":"2026-07-05T03:05:02Z"},{"alias_kind":"pith_short_16","alias_value":"HSBCW26FVYDF4EJH","created_at":"2026-07-05T03:05:02Z"},{"alias_kind":"pith_short_8","alias_value":"HSBCW26F","created_at":"2026-07-05T03:05:02Z"}],"graph_snapshots":[{"event_id":"sha256:04eae2e07ca55134ff8a6a24687d2d60aea5b869cb0c806000a264c81c452e4d","target":"graph","created_at":"2026-07-05T03:05:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2105.12208/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Persistence diagrams have been widely used to quantify the underlying features of filtered topological spaces in data visualization. In many applications, computing distances between diagrams is essential; however, computing these distances has been challenging due to the computational cost. In this paper, we propose a persistence diagram hashing framework that learns a binary code representation of persistence diagrams, which allows for fast computation of distances. This framework is built upon a generative adversarial network (GAN) with a diagram distance loss function to steer the learning","authors_text":"Brian Summa, Brittany Terese Fasy, Carola Wenk, Yu Qin","cross_cats":["cs.DS","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2021-05-25T20:44:28Z","title":"A Domain-Oblivious Approach for Learning Concise Representations of Filtered Topological Spaces for Clustering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.12208","kind":"arxiv","version":2},"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":"sha256:383481f19e7dd3dcb04e2eed320f980ebf351114889bb971c11b96e3f91cf9a9","target":"record","created_at":"2026-07-05T03:05:02Z","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":"3edb41d18d65c9e4f32592d0231b63bcc08001c5805867459026a0ee1b5f49b8","cross_cats_sorted":["cs.DS","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2021-05-25T20:44:28Z","title_canon_sha256":"258ce97e7c4d2fdb6cbd797776ae7a7c0da024bcfac553c0c6bee5837947818f"},"schema_version":"1.0","source":{"id":"2105.12208","kind":"arxiv","version":2}},"canonical_sha256":"3c822b6bc5ae065e11270aec693891c7475cce5c9001209d6392f2b0c7553860","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c822b6bc5ae065e11270aec693891c7475cce5c9001209d6392f2b0c7553860","first_computed_at":"2026-07-05T03:05:02.541055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:05:02.541055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7OwkmMSyH4fs8RI8i2iWcum34UJZpHE4+BE8ah6HfejwWZjMDml5IiAYiCYNEzGBognyIETMonEQI7YGuXnUDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:05:02.541453Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.12208","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:383481f19e7dd3dcb04e2eed320f980ebf351114889bb971c11b96e3f91cf9a9","sha256:04eae2e07ca55134ff8a6a24687d2d60aea5b869cb0c806000a264c81c452e4d"],"state_sha256":"0e1b6f0859fafa4277d6a90b37c419d05c80846e0d900f640a6afaedc3e27269"}