{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:T25ZIPXOCUDR7H5PAYBX6UTHGJ","short_pith_number":"pith:T25ZIPXO","canonical_record":{"source":{"id":"2001.06058","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2020-01-16T20:13:20Z","cross_cats_sorted":["cs.CG","stat.ML"],"title_canon_sha256":"533a75b232bf0872c5cf37b95a113526aa3dfcbe085916a42e5b0b6a0d371025","abstract_canon_sha256":"9ca3db8763572cc862fc14b351621d7d7780c17c57835503fa2be67ba30f8998"},"schema_version":"1.0"},"canonical_sha256":"9ebb943eee15071f9faf06037f526732626d594615ef4c19ff1ccca65bcf1d53","source":{"kind":"arxiv","id":"2001.06058","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.06058","created_at":"2026-07-05T00:34:06Z"},{"alias_kind":"arxiv_version","alias_value":"2001.06058v1","created_at":"2026-07-05T00:34:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.06058","created_at":"2026-07-05T00:34:06Z"},{"alias_kind":"pith_short_12","alias_value":"T25ZIPXOCUDR","created_at":"2026-07-05T00:34:06Z"},{"alias_kind":"pith_short_16","alias_value":"T25ZIPXOCUDR7H5P","created_at":"2026-07-05T00:34:06Z"},{"alias_kind":"pith_short_8","alias_value":"T25ZIPXO","created_at":"2026-07-05T00:34:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:T25ZIPXOCUDR7H5PAYBX6UTHGJ","target":"record","payload":{"canonical_record":{"source":{"id":"2001.06058","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2020-01-16T20:13:20Z","cross_cats_sorted":["cs.CG","stat.ML"],"title_canon_sha256":"533a75b232bf0872c5cf37b95a113526aa3dfcbe085916a42e5b0b6a0d371025","abstract_canon_sha256":"9ca3db8763572cc862fc14b351621d7d7780c17c57835503fa2be67ba30f8998"},"schema_version":"1.0"},"canonical_sha256":"9ebb943eee15071f9faf06037f526732626d594615ef4c19ff1ccca65bcf1d53","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:34:06.329355Z","signature_b64":"HG93n39H3F1tJbgeERYsuOahQa4aYLiXpSdn3f8mBlaMa/Gk9tPcyZ23uiD+FvPUubtSKpeNak9ocsw1Wj7SAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ebb943eee15071f9faf06037f526732626d594615ef4c19ff1ccca65bcf1d53","last_reissued_at":"2026-07-05T00:34:06.328880Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:34:06.328880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2001.06058","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:34:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f6bJSHM39U+YJY8STHY5bvyM+pCcsIVVd3lQWWVPLVFtKpg59xYVWOSWrEVMbRVIWcKDV3COJ5UIRzihtrj0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T00:30:46.029406Z"},"content_sha256":"44abb6af8c3fbed550e77f97eeca87d1e75240bae25037bcd0db1dc0b6aa9737","schema_version":"1.0","event_id":"sha256:44abb6af8c3fbed550e77f97eeca87d1e75240bae25037bcd0db1dc0b6aa9737"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:T25ZIPXOCUDR7H5PAYBX6UTHGJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Understanding the Power of Persistence Pairing via Permutation Test","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CG","stat.ML"],"primary_cat":"cs.LG","authors_text":"Chen Cai, Yusu Wang","submitted_at":"2020-01-16T20:13:20Z","abstract_excerpt":"Recently many efforts have been made to incorporate persistence diagrams, one of the major tools in topological data analysis (TDA), into machine learning pipelines. To better understand the power and limitation of persistence diagrams, we carry out a range of experiments on both graph data and shape data, aiming to decouple and inspect the effects of different factors involved. To this end, we also propose the so-called \\emph{permutation test} for persistence diagrams to delineate critical values and pairings of critical values. For graph classification tasks, we note that while persistence p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.06058","kind":"arxiv","version":1},"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/2001.06058/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":"2026-07-05T00:34:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PibCrnnXq1wDJxQDFhUFbw3ugg9dN1hlFLjltGb8rhVvSu7Ue6aDPiQ2uEDJo4J5104K9L75iJMLV7XtjXvvAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T00:30:46.030359Z"},"content_sha256":"cd5ca85195ef94edf7368d0f84fdfc7ed5054d3f05582d7d37aea2120de91050","schema_version":"1.0","event_id":"sha256:cd5ca85195ef94edf7368d0f84fdfc7ed5054d3f05582d7d37aea2120de91050"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T25ZIPXOCUDR7H5PAYBX6UTHGJ/bundle.json","state_url":"https://pith.science/pith/T25ZIPXOCUDR7H5PAYBX6UTHGJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T25ZIPXOCUDR7H5PAYBX6UTHGJ/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":"2026-08-04T00:30:46Z","links":{"resolver":"https://pith.science/pith/T25ZIPXOCUDR7H5PAYBX6UTHGJ","bundle":"https://pith.science/pith/T25ZIPXOCUDR7H5PAYBX6UTHGJ/bundle.json","state":"https://pith.science/pith/T25ZIPXOCUDR7H5PAYBX6UTHGJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T25ZIPXOCUDR7H5PAYBX6UTHGJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:T25ZIPXOCUDR7H5PAYBX6UTHGJ","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":"9ca3db8763572cc862fc14b351621d7d7780c17c57835503fa2be67ba30f8998","cross_cats_sorted":["cs.CG","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2020-01-16T20:13:20Z","title_canon_sha256":"533a75b232bf0872c5cf37b95a113526aa3dfcbe085916a42e5b0b6a0d371025"},"schema_version":"1.0","source":{"id":"2001.06058","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.06058","created_at":"2026-07-05T00:34:06Z"},{"alias_kind":"arxiv_version","alias_value":"2001.06058v1","created_at":"2026-07-05T00:34:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.06058","created_at":"2026-07-05T00:34:06Z"},{"alias_kind":"pith_short_12","alias_value":"T25ZIPXOCUDR","created_at":"2026-07-05T00:34:06Z"},{"alias_kind":"pith_short_16","alias_value":"T25ZIPXOCUDR7H5P","created_at":"2026-07-05T00:34:06Z"},{"alias_kind":"pith_short_8","alias_value":"T25ZIPXO","created_at":"2026-07-05T00:34:06Z"}],"graph_snapshots":[{"event_id":"sha256:cd5ca85195ef94edf7368d0f84fdfc7ed5054d3f05582d7d37aea2120de91050","target":"graph","created_at":"2026-07-05T00:34:06Z","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/2001.06058/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently many efforts have been made to incorporate persistence diagrams, one of the major tools in topological data analysis (TDA), into machine learning pipelines. To better understand the power and limitation of persistence diagrams, we carry out a range of experiments on both graph data and shape data, aiming to decouple and inspect the effects of different factors involved. To this end, we also propose the so-called \\emph{permutation test} for persistence diagrams to delineate critical values and pairings of critical values. For graph classification tasks, we note that while persistence p","authors_text":"Chen Cai, Yusu Wang","cross_cats":["cs.CG","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2020-01-16T20:13:20Z","title":"Understanding the Power of Persistence Pairing via Permutation Test"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.06058","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":"sha256:44abb6af8c3fbed550e77f97eeca87d1e75240bae25037bcd0db1dc0b6aa9737","target":"record","created_at":"2026-07-05T00:34:06Z","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":"9ca3db8763572cc862fc14b351621d7d7780c17c57835503fa2be67ba30f8998","cross_cats_sorted":["cs.CG","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2020-01-16T20:13:20Z","title_canon_sha256":"533a75b232bf0872c5cf37b95a113526aa3dfcbe085916a42e5b0b6a0d371025"},"schema_version":"1.0","source":{"id":"2001.06058","kind":"arxiv","version":1}},"canonical_sha256":"9ebb943eee15071f9faf06037f526732626d594615ef4c19ff1ccca65bcf1d53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ebb943eee15071f9faf06037f526732626d594615ef4c19ff1ccca65bcf1d53","first_computed_at":"2026-07-05T00:34:06.328880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:34:06.328880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HG93n39H3F1tJbgeERYsuOahQa4aYLiXpSdn3f8mBlaMa/Gk9tPcyZ23uiD+FvPUubtSKpeNak9ocsw1Wj7SAw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:34:06.329355Z","signed_message":"canonical_sha256_bytes"},"source_id":"2001.06058","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44abb6af8c3fbed550e77f97eeca87d1e75240bae25037bcd0db1dc0b6aa9737","sha256:cd5ca85195ef94edf7368d0f84fdfc7ed5054d3f05582d7d37aea2120de91050"],"state_sha256":"28327ad34ef04599fe1d22b3e7b73612ab73e3dd03d6bc00205a04f7ea1a9a4a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6R+XOhaDfE8yPRtUBRwsqFtXs/Qza16Sgw3FvxL3Avgc1bBlNUpq5yvgLe5iuNfeRB8nRCvQ1lQ6VS4GxYV0BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T00:30:46.038062Z","bundle_sha256":"c5abea4981b3b51d93b37c7ac8e4348b39b5875a07184d5aff6b637dc35038f5"}}