{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:DUFHKYE3DKERO7SRZLNYHBVZBZ","short_pith_number":"pith:DUFHKYE3","canonical_record":{"source":{"id":"2402.13632","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2024-02-21T09:09:33Z","cross_cats_sorted":[],"title_canon_sha256":"beda56205e675140feaca71825c5230610fc2bacd87e08aadbd7a3f64f2f13f2","abstract_canon_sha256":"746e7b5c9c7e48b39faaf9de52d2e301fedc8301a7a41734ccbb85d5213f64c4"},"schema_version":"1.0"},"canonical_sha256":"1d0a75609b1a89177e51cadb8386b90e52f307c607055676115475262fc00899","source":{"kind":"arxiv","id":"2402.13632","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.13632","created_at":"2026-05-26T02:03:45Z"},{"alias_kind":"arxiv_version","alias_value":"2402.13632v2","created_at":"2026-05-26T02:03:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.13632","created_at":"2026-05-26T02:03:45Z"},{"alias_kind":"pith_short_12","alias_value":"DUFHKYE3DKER","created_at":"2026-05-26T02:03:45Z"},{"alias_kind":"pith_short_16","alias_value":"DUFHKYE3DKERO7SR","created_at":"2026-05-26T02:03:45Z"},{"alias_kind":"pith_short_8","alias_value":"DUFHKYE3","created_at":"2026-05-26T02:03:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:DUFHKYE3DKERO7SRZLNYHBVZBZ","target":"record","payload":{"canonical_record":{"source":{"id":"2402.13632","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2024-02-21T09:09:33Z","cross_cats_sorted":[],"title_canon_sha256":"beda56205e675140feaca71825c5230610fc2bacd87e08aadbd7a3f64f2f13f2","abstract_canon_sha256":"746e7b5c9c7e48b39faaf9de52d2e301fedc8301a7a41734ccbb85d5213f64c4"},"schema_version":"1.0"},"canonical_sha256":"1d0a75609b1a89177e51cadb8386b90e52f307c607055676115475262fc00899","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:03:45.470824Z","signature_b64":"9EFAE22JdrvFwoJ1oimx+wrEq7aL6iOLuEPFXl4I6pZQ8mvSZjIWDiGvVdVDluKDcKd+H47UNBcYJZ27flc5DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d0a75609b1a89177e51cadb8386b90e52f307c607055676115475262fc00899","last_reissued_at":"2026-05-26T02:03:45.469880Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:03:45.469880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.13632","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-26T02:03:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fvaRKbxjan4iapXputrgzbOAJLZAefVJLLWqThRdcOps9WdyJMBLjNyunKANV7xGkzgN37BPlB2ijkkkvdJ3Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:33:43.965594Z"},"content_sha256":"ffd51cba86f2dbe521676aca631f17061bc3390782836abb25b0dc1129617462","schema_version":"1.0","event_id":"sha256:ffd51cba86f2dbe521676aca631f17061bc3390782836abb25b0dc1129617462"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:DUFHKYE3DKERO7SRZLNYHBVZBZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"How Small Can Faithful Sets Be? Ordering Topological Descriptors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Anna Schenfisch, Brittany Terese Fasy, David L. Millman","submitted_at":"2024-02-21T09:09:33Z","abstract_excerpt":"Recent developments in shape reconstruction and comparison call for the use of many different (topological) descriptor types, such as persistence diagrams and Euler characteristic functions. We establish a framework to quantitatively compare the strength of different descriptor types, setting up a theory that allows for future comparisons and analysis of descriptor types and that can inform choices made in applications. We use this framework to partially order a set of six common descriptor types. We then give lower bounds on the size of sets of descriptors that uniquely correspond to simplici"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.13632","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/2402.13632/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-26T02:03:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y37iu9CPKlu/Jw8aI8RiU7KbUTn4DZZxMqTvujy37RTJ0bXHFkc7GWMA7ll6VPBnTkoRFOTwuWunYJVSoOpgCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:33:43.965983Z"},"content_sha256":"4eccf24480c5fec8e8a8ee619ce5653a5b79258f3f58815f23e3d49858de8a16","schema_version":"1.0","event_id":"sha256:4eccf24480c5fec8e8a8ee619ce5653a5b79258f3f58815f23e3d49858de8a16"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DUFHKYE3DKERO7SRZLNYHBVZBZ/bundle.json","state_url":"https://pith.science/pith/DUFHKYE3DKERO7SRZLNYHBVZBZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DUFHKYE3DKERO7SRZLNYHBVZBZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-12T00:33:43Z","links":{"resolver":"https://pith.science/pith/DUFHKYE3DKERO7SRZLNYHBVZBZ","bundle":"https://pith.science/pith/DUFHKYE3DKERO7SRZLNYHBVZBZ/bundle.json","state":"https://pith.science/pith/DUFHKYE3DKERO7SRZLNYHBVZBZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DUFHKYE3DKERO7SRZLNYHBVZBZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DUFHKYE3DKERO7SRZLNYHBVZBZ","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":"746e7b5c9c7e48b39faaf9de52d2e301fedc8301a7a41734ccbb85d5213f64c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2024-02-21T09:09:33Z","title_canon_sha256":"beda56205e675140feaca71825c5230610fc2bacd87e08aadbd7a3f64f2f13f2"},"schema_version":"1.0","source":{"id":"2402.13632","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.13632","created_at":"2026-05-26T02:03:45Z"},{"alias_kind":"arxiv_version","alias_value":"2402.13632v2","created_at":"2026-05-26T02:03:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.13632","created_at":"2026-05-26T02:03:45Z"},{"alias_kind":"pith_short_12","alias_value":"DUFHKYE3DKER","created_at":"2026-05-26T02:03:45Z"},{"alias_kind":"pith_short_16","alias_value":"DUFHKYE3DKERO7SR","created_at":"2026-05-26T02:03:45Z"},{"alias_kind":"pith_short_8","alias_value":"DUFHKYE3","created_at":"2026-05-26T02:03:45Z"}],"graph_snapshots":[{"event_id":"sha256:4eccf24480c5fec8e8a8ee619ce5653a5b79258f3f58815f23e3d49858de8a16","target":"graph","created_at":"2026-05-26T02:03:45Z","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/2402.13632/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent developments in shape reconstruction and comparison call for the use of many different (topological) descriptor types, such as persistence diagrams and Euler characteristic functions. We establish a framework to quantitatively compare the strength of different descriptor types, setting up a theory that allows for future comparisons and analysis of descriptor types and that can inform choices made in applications. We use this framework to partially order a set of six common descriptor types. We then give lower bounds on the size of sets of descriptors that uniquely correspond to simplici","authors_text":"Anna Schenfisch, Brittany Terese Fasy, David L. Millman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2024-02-21T09:09:33Z","title":"How Small Can Faithful Sets Be? Ordering Topological Descriptors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.13632","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:ffd51cba86f2dbe521676aca631f17061bc3390782836abb25b0dc1129617462","target":"record","created_at":"2026-05-26T02:03:45Z","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":"746e7b5c9c7e48b39faaf9de52d2e301fedc8301a7a41734ccbb85d5213f64c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2024-02-21T09:09:33Z","title_canon_sha256":"beda56205e675140feaca71825c5230610fc2bacd87e08aadbd7a3f64f2f13f2"},"schema_version":"1.0","source":{"id":"2402.13632","kind":"arxiv","version":2}},"canonical_sha256":"1d0a75609b1a89177e51cadb8386b90e52f307c607055676115475262fc00899","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d0a75609b1a89177e51cadb8386b90e52f307c607055676115475262fc00899","first_computed_at":"2026-05-26T02:03:45.469880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:03:45.469880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9EFAE22JdrvFwoJ1oimx+wrEq7aL6iOLuEPFXl4I6pZQ8mvSZjIWDiGvVdVDluKDcKd+H47UNBcYJZ27flc5DA==","signature_status":"signed_v1","signed_at":"2026-05-26T02:03:45.470824Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.13632","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffd51cba86f2dbe521676aca631f17061bc3390782836abb25b0dc1129617462","sha256:4eccf24480c5fec8e8a8ee619ce5653a5b79258f3f58815f23e3d49858de8a16"],"state_sha256":"3624df63d2f3ed660965e236cfba3132a83b6b6f1637ad443c88558129726c13"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"blWKFzt6hZE+Bn0x8YfeKBg1Cs3p55qtiqDFjcvGt6Q0bUWVlWk5cn0AjPxd1ML5Hk2uETQzzZGlLTmkauMbAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T00:33:43.968006Z","bundle_sha256":"0d3b06c216c585cb01e5e5255063d423c95d739cec8e6f0f59230c372ceaaa21"}}