{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:KUJDHCXHQXHONBCNXQURMMN6KT","short_pith_number":"pith:KUJDHCXH","canonical_record":{"source":{"id":"2408.01379","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-08-02T16:37:33Z","cross_cats_sorted":["cs.CG","cs.LG"],"title_canon_sha256":"0fcee0994fc9efda3d925a200112d172fd147466f55951450916aa12d8c6e676","abstract_canon_sha256":"413d5434ceb2c5d01fc64f84162dfbc1b7378657e39164036a9b10c609085197"},"schema_version":"1.0"},"canonical_sha256":"5512338ae785cee6844dbc291631be54eeb76f2db99eb239344f460a06e32919","source":{"kind":"arxiv","id":"2408.01379","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.01379","created_at":"2026-07-05T08:51:30Z"},{"alias_kind":"arxiv_version","alias_value":"2408.01379v1","created_at":"2026-07-05T08:51:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.01379","created_at":"2026-07-05T08:51:30Z"},{"alias_kind":"pith_short_12","alias_value":"KUJDHCXHQXHO","created_at":"2026-07-05T08:51:30Z"},{"alias_kind":"pith_short_16","alias_value":"KUJDHCXHQXHONBCN","created_at":"2026-07-05T08:51:30Z"},{"alias_kind":"pith_short_8","alias_value":"KUJDHCXH","created_at":"2026-07-05T08:51:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:KUJDHCXHQXHONBCNXQURMMN6KT","target":"record","payload":{"canonical_record":{"source":{"id":"2408.01379","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-08-02T16:37:33Z","cross_cats_sorted":["cs.CG","cs.LG"],"title_canon_sha256":"0fcee0994fc9efda3d925a200112d172fd147466f55951450916aa12d8c6e676","abstract_canon_sha256":"413d5434ceb2c5d01fc64f84162dfbc1b7378657e39164036a9b10c609085197"},"schema_version":"1.0"},"canonical_sha256":"5512338ae785cee6844dbc291631be54eeb76f2db99eb239344f460a06e32919","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:51:30.881472Z","signature_b64":"Uzdhfe13L9eUfrQOqbJPe0vx73XYZ/eZIVgoUBhrWG6T/tHPMgLEPTdFpByXVua0bl6RzDC/qqP25eTZUEbgAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5512338ae785cee6844dbc291631be54eeb76f2db99eb239344f460a06e32919","last_reissued_at":"2026-07-05T08:51:30.880998Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:51:30.880998Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.01379","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":"2026-07-05T08:51:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Gqj9BmclOD7FEm8NTo5ZdJdfTSbW5gVSMayDY/lrUwV+PBdiOdi/9hyN32qnQo7zWpsF0BLCG2k+v/0lVHNDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T01:18:03.357642Z"},"content_sha256":"bd44bb05a1fa091ce08daf1ae0c194df1bb32dd5a1522a7f50b143049af3870e","schema_version":"1.0","event_id":"sha256:bd44bb05a1fa091ce08daf1ae0c194df1bb32dd5a1522a7f50b143049af3870e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:KUJDHCXHQXHONBCNXQURMMN6KT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resampling and averaging coordinates on data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CG","cs.LG"],"primary_cat":"stat.ML","authors_text":"Andrew J. Blumberg, Jun Hou Fung, Mathieu Carriere, Michael A. Mandell","submitted_at":"2024-08-02T16:37:33Z","abstract_excerpt":"We introduce algorithms for robustly computing intrinsic coordinates on point clouds. Our approach relies on generating many candidate coordinates by subsampling the data and varying hyperparameters of the embedding algorithm (e.g., manifold learning). We then identify a subset of representative embeddings by clustering the collection of candidate coordinates and using shape descriptors from topological data analysis. The final output is the embedding obtained as an average of the representative embeddings using generalized Procrustes analysis. We validate our algorithm on both synthetic data "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.01379","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/2408.01379/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":"2026-07-05T08:51:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gLPe0S8mkFCjpA7YvC1e4oumYeIUP1uwp/5obmc5Xlga8h/evoNWLHigpkCIFCSuJHXzhro7Fs5palrQnyJNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T01:18:03.357987Z"},"content_sha256":"5e397ce1eca26e3671a3730f50cc0b4cdbb6756efc3a85b09a94a1522a797252","schema_version":"1.0","event_id":"sha256:5e397ce1eca26e3671a3730f50cc0b4cdbb6756efc3a85b09a94a1522a797252"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KUJDHCXHQXHONBCNXQURMMN6KT/bundle.json","state_url":"https://pith.science/pith/KUJDHCXHQXHONBCNXQURMMN6KT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KUJDHCXHQXHONBCNXQURMMN6KT/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":"2026-08-21T01:18:03Z","links":{"resolver":"https://pith.science/pith/KUJDHCXHQXHONBCNXQURMMN6KT","bundle":"https://pith.science/pith/KUJDHCXHQXHONBCNXQURMMN6KT/bundle.json","state":"https://pith.science/pith/KUJDHCXHQXHONBCNXQURMMN6KT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KUJDHCXHQXHONBCNXQURMMN6KT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KUJDHCXHQXHONBCNXQURMMN6KT","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":"413d5434ceb2c5d01fc64f84162dfbc1b7378657e39164036a9b10c609085197","cross_cats_sorted":["cs.CG","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-08-02T16:37:33Z","title_canon_sha256":"0fcee0994fc9efda3d925a200112d172fd147466f55951450916aa12d8c6e676"},"schema_version":"1.0","source":{"id":"2408.01379","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.01379","created_at":"2026-07-05T08:51:30Z"},{"alias_kind":"arxiv_version","alias_value":"2408.01379v1","created_at":"2026-07-05T08:51:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.01379","created_at":"2026-07-05T08:51:30Z"},{"alias_kind":"pith_short_12","alias_value":"KUJDHCXHQXHO","created_at":"2026-07-05T08:51:30Z"},{"alias_kind":"pith_short_16","alias_value":"KUJDHCXHQXHONBCN","created_at":"2026-07-05T08:51:30Z"},{"alias_kind":"pith_short_8","alias_value":"KUJDHCXH","created_at":"2026-07-05T08:51:30Z"}],"graph_snapshots":[{"event_id":"sha256:5e397ce1eca26e3671a3730f50cc0b4cdbb6756efc3a85b09a94a1522a797252","target":"graph","created_at":"2026-07-05T08:51:30Z","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/2408.01379/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce algorithms for robustly computing intrinsic coordinates on point clouds. Our approach relies on generating many candidate coordinates by subsampling the data and varying hyperparameters of the embedding algorithm (e.g., manifold learning). We then identify a subset of representative embeddings by clustering the collection of candidate coordinates and using shape descriptors from topological data analysis. The final output is the embedding obtained as an average of the representative embeddings using generalized Procrustes analysis. We validate our algorithm on both synthetic data ","authors_text":"Andrew J. Blumberg, Jun Hou Fung, Mathieu Carriere, Michael A. Mandell","cross_cats":["cs.CG","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-08-02T16:37:33Z","title":"Resampling and averaging coordinates on data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.01379","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:bd44bb05a1fa091ce08daf1ae0c194df1bb32dd5a1522a7f50b143049af3870e","target":"record","created_at":"2026-07-05T08:51:30Z","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":"413d5434ceb2c5d01fc64f84162dfbc1b7378657e39164036a9b10c609085197","cross_cats_sorted":["cs.CG","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-08-02T16:37:33Z","title_canon_sha256":"0fcee0994fc9efda3d925a200112d172fd147466f55951450916aa12d8c6e676"},"schema_version":"1.0","source":{"id":"2408.01379","kind":"arxiv","version":1}},"canonical_sha256":"5512338ae785cee6844dbc291631be54eeb76f2db99eb239344f460a06e32919","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5512338ae785cee6844dbc291631be54eeb76f2db99eb239344f460a06e32919","first_computed_at":"2026-07-05T08:51:30.880998Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:51:30.880998Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Uzdhfe13L9eUfrQOqbJPe0vx73XYZ/eZIVgoUBhrWG6T/tHPMgLEPTdFpByXVua0bl6RzDC/qqP25eTZUEbgAA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:51:30.881472Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.01379","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd44bb05a1fa091ce08daf1ae0c194df1bb32dd5a1522a7f50b143049af3870e","sha256:5e397ce1eca26e3671a3730f50cc0b4cdbb6756efc3a85b09a94a1522a797252"],"state_sha256":"399819999fa1b47dee605bfa80bd8a523369b2e4eda87fe4e72d654a4b35e9b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uWm3EzDKMidyOT0mhwdxJV7Ik3EOQV8BmZmkgh8MKE70wG2BrhrwTBEu68y7Zl/e8TTI/HpgnkiumXii37S6Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T01:18:03.361651Z","bundle_sha256":"3b157c22eb77739331b3782fbf3df4958f64f13ef5b086b1ba7d9fa574c0239d"}}