{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:DKQRBJPLH2MZR273JATYY3ODU2","short_pith_number":"pith:DKQRBJPL","canonical_record":{"source":{"id":"1608.01072","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-08-03T04:42:02Z","cross_cats_sorted":[],"title_canon_sha256":"9963b82df52204b67a575fac1579edd4f4d5188b079a14a620866e5aebb2267c","abstract_canon_sha256":"6b38215f04d096d7a19e02fdd422efecbef6c40ef5402308e1fbaf28d6a9e61a"},"schema_version":"1.0"},"canonical_sha256":"1aa110a5eb3e9998ebfb48278c6dc3a6b4f369574c337338ed4cb9684a62b800","source":{"kind":"arxiv","id":"1608.01072","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.01072","created_at":"2026-05-18T01:09:56Z"},{"alias_kind":"arxiv_version","alias_value":"1608.01072v1","created_at":"2026-05-18T01:09:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.01072","created_at":"2026-05-18T01:09:56Z"},{"alias_kind":"pith_short_12","alias_value":"DKQRBJPLH2MZ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DKQRBJPLH2MZR273","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DKQRBJPL","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:DKQRBJPLH2MZR273JATYY3ODU2","target":"record","payload":{"canonical_record":{"source":{"id":"1608.01072","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-08-03T04:42:02Z","cross_cats_sorted":[],"title_canon_sha256":"9963b82df52204b67a575fac1579edd4f4d5188b079a14a620866e5aebb2267c","abstract_canon_sha256":"6b38215f04d096d7a19e02fdd422efecbef6c40ef5402308e1fbaf28d6a9e61a"},"schema_version":"1.0"},"canonical_sha256":"1aa110a5eb3e9998ebfb48278c6dc3a6b4f369574c337338ed4cb9684a62b800","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:56.733996Z","signature_b64":"7r70ZioUBx3jmuYZas6XFv0F1yufsxA36S9WJdK4q8q2N5+crj5O4PFQETk5lKOfj7KJ3lZ7SIeBocdSj4f1Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1aa110a5eb3e9998ebfb48278c6dc3a6b4f369574c337338ed4cb9684a62b800","last_reissued_at":"2026-05-18T01:09:56.733273Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:56.733273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.01072","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":"2026-05-18T01:09:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n6bAZKMwEzZL6kfr6FLXzVSgxks0sHeG6iwaSpwkjNTUkm96QAEQhC7jjldMgzgsGfJRPDOJDA1DuOLAlHz3AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:08:16.368858Z"},"content_sha256":"67ae99fc29ca124802b59e55d3c20f9d5fed1527b07c06f6d02b2b5f8a18906a","schema_version":"1.0","event_id":"sha256:67ae99fc29ca124802b59e55d3c20f9d5fed1527b07c06f6d02b2b5f8a18906a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:DKQRBJPLH2MZR273JATYY3ODU2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fuzzy c-Shape: A new algorithm for clustering finite time series waveforms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Christopher Leckie, Fateme Fahiman, Jame C.Bezdek, Marimuthu Palaniswami, Sarah M.Erfani","submitted_at":"2016-08-03T04:42:02Z","abstract_excerpt":"The existence of large volumes of time series data in many applications has motivated data miners to investigate specialized methods for mining time series data. Clustering is a popular data mining method due to its powerful exploratory nature and its usefulness as a preprocessing step for other data mining techniques. This article develops two novel clustering algorithms for time series data that are extensions of a crisp c-shapes algorithm. The two new algorithms are heuristic derivatives of fuzzy c-means (FCM). Fuzzy c-Shapes plus (FCS+) replaces the inner product norm in the FCM model with"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.01072","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":""},"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":"2026-05-18T01:09:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eKwmadi3cw1F0H0fgiwpDM2C3P35oFwiRVj+dVZKGxkgNugreeHILDEbyLuSXQQV6TcWcov/IJRPbi8HfWP4DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:08:16.369496Z"},"content_sha256":"feaed0e25f0f3992811666d904c8a3c30eb3ce4c6a10696ab7250cf71d7bff66","schema_version":"1.0","event_id":"sha256:feaed0e25f0f3992811666d904c8a3c30eb3ce4c6a10696ab7250cf71d7bff66"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DKQRBJPLH2MZR273JATYY3ODU2/bundle.json","state_url":"https://pith.science/pith/DKQRBJPLH2MZR273JATYY3ODU2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DKQRBJPLH2MZR273JATYY3ODU2/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":"2026-06-01T12:08:16Z","links":{"resolver":"https://pith.science/pith/DKQRBJPLH2MZR273JATYY3ODU2","bundle":"https://pith.science/pith/DKQRBJPLH2MZR273JATYY3ODU2/bundle.json","state":"https://pith.science/pith/DKQRBJPLH2MZR273JATYY3ODU2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DKQRBJPLH2MZR273JATYY3ODU2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DKQRBJPLH2MZR273JATYY3ODU2","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":"6b38215f04d096d7a19e02fdd422efecbef6c40ef5402308e1fbaf28d6a9e61a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-08-03T04:42:02Z","title_canon_sha256":"9963b82df52204b67a575fac1579edd4f4d5188b079a14a620866e5aebb2267c"},"schema_version":"1.0","source":{"id":"1608.01072","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.01072","created_at":"2026-05-18T01:09:56Z"},{"alias_kind":"arxiv_version","alias_value":"1608.01072v1","created_at":"2026-05-18T01:09:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.01072","created_at":"2026-05-18T01:09:56Z"},{"alias_kind":"pith_short_12","alias_value":"DKQRBJPLH2MZ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DKQRBJPLH2MZR273","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DKQRBJPL","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:feaed0e25f0f3992811666d904c8a3c30eb3ce4c6a10696ab7250cf71d7bff66","target":"graph","created_at":"2026-05-18T01:09:56Z","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"},"paper":{"abstract_excerpt":"The existence of large volumes of time series data in many applications has motivated data miners to investigate specialized methods for mining time series data. Clustering is a popular data mining method due to its powerful exploratory nature and its usefulness as a preprocessing step for other data mining techniques. This article develops two novel clustering algorithms for time series data that are extensions of a crisp c-shapes algorithm. The two new algorithms are heuristic derivatives of fuzzy c-means (FCM). Fuzzy c-Shapes plus (FCS+) replaces the inner product norm in the FCM model with","authors_text":"Christopher Leckie, Fateme Fahiman, Jame C.Bezdek, Marimuthu Palaniswami, Sarah M.Erfani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-08-03T04:42:02Z","title":"Fuzzy c-Shape: A new algorithm for clustering finite time series waveforms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.01072","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":"sha256:67ae99fc29ca124802b59e55d3c20f9d5fed1527b07c06f6d02b2b5f8a18906a","target":"record","created_at":"2026-05-18T01:09:56Z","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":"6b38215f04d096d7a19e02fdd422efecbef6c40ef5402308e1fbaf28d6a9e61a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-08-03T04:42:02Z","title_canon_sha256":"9963b82df52204b67a575fac1579edd4f4d5188b079a14a620866e5aebb2267c"},"schema_version":"1.0","source":{"id":"1608.01072","kind":"arxiv","version":1}},"canonical_sha256":"1aa110a5eb3e9998ebfb48278c6dc3a6b4f369574c337338ed4cb9684a62b800","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1aa110a5eb3e9998ebfb48278c6dc3a6b4f369574c337338ed4cb9684a62b800","first_computed_at":"2026-05-18T01:09:56.733273Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:56.733273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7r70ZioUBx3jmuYZas6XFv0F1yufsxA36S9WJdK4q8q2N5+crj5O4PFQETk5lKOfj7KJ3lZ7SIeBocdSj4f1Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:56.733996Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.01072","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67ae99fc29ca124802b59e55d3c20f9d5fed1527b07c06f6d02b2b5f8a18906a","sha256:feaed0e25f0f3992811666d904c8a3c30eb3ce4c6a10696ab7250cf71d7bff66"],"state_sha256":"b90e6b37f9f5b3ae7c53bf6eac885aa5aaba96a3294aa15f4225d01eb647fa8d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nFG4uhF1jcrtdG+hxGstpsPYX+uRt79ONl2nTx/H4pU1WjZqwRnWsXsHMlvSgsWNg0c/+2UBL7y/1QZVzObnDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:08:16.372137Z","bundle_sha256":"6d5c1a8b2037e7d8a0abc4acb89c7dd39f093494aeb967fbc3dd8137ce4f45e9"}}