{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3DX7E6XO5KE5MDILD6KZSK6XBS","short_pith_number":"pith:3DX7E6XO","canonical_record":{"source":{"id":"1502.05090","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-02-18T00:27:39Z","cross_cats_sorted":[],"title_canon_sha256":"9a38ae29b34b9464d57d7d9d0dac93744927a7cdaa8702607ef4a70e1b6bea79","abstract_canon_sha256":"d83b287042b7e15c4d114b4d55f9cb8cfa2fca690e6bcb471d139e5644ea40d9"},"schema_version":"1.0"},"canonical_sha256":"d8eff27aeeea89d60d0b1f95992bd70c9dc831311d14b94b5a8ee7ecc4107fcf","source":{"kind":"arxiv","id":"1502.05090","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05090","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05090v1","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05090","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"pith_short_12","alias_value":"3DX7E6XO5KE5","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3DX7E6XO5KE5MDIL","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3DX7E6XO","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3DX7E6XO5KE5MDILD6KZSK6XBS","target":"record","payload":{"canonical_record":{"source":{"id":"1502.05090","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-02-18T00:27:39Z","cross_cats_sorted":[],"title_canon_sha256":"9a38ae29b34b9464d57d7d9d0dac93744927a7cdaa8702607ef4a70e1b6bea79","abstract_canon_sha256":"d83b287042b7e15c4d114b4d55f9cb8cfa2fca690e6bcb471d139e5644ea40d9"},"schema_version":"1.0"},"canonical_sha256":"d8eff27aeeea89d60d0b1f95992bd70c9dc831311d14b94b5a8ee7ecc4107fcf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:52.435248Z","signature_b64":"v7KEMyDTo2Ceiie/G8ZSmlt1HT8xeGXbglPRr85S+WiRQvjcqCTVvrV9a/tz+IH42atyJkzCyRGjcr0U45dJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8eff27aeeea89d60d0b1f95992bd70c9dc831311d14b94b5a8ee7ecc4107fcf","last_reissued_at":"2026-05-18T02:26:52.434816Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:52.434816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.05090","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":"2026-05-18T02:26:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zfV3NCjMSeyECauBd0gUtiitKkEql/2DCZ67iBHX87lfd9AujHh8r0RpC7Xojyuul7353s4y3BulG4y2A1gxAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T17:35:46.467633Z"},"content_sha256":"e51b940c4bafce0dbedbe533ce1c7c468c06042799cd22d55f6aed3223bfdc2c","schema_version":"1.0","event_id":"sha256:e51b940c4bafce0dbedbe533ce1c7c468c06042799cd22d55f6aed3223bfdc2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3DX7E6XO5KE5MDILD6KZSK6XBS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Real time clustering of time series using triangular potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Aldo Pacchiano, Oliver Williams","submitted_at":"2015-02-18T00:27:39Z","abstract_excerpt":"Motivated by the problem of computing investment portfolio weightings we investigate various methods of clustering as alternatives to traditional mean-variance approaches. Such methods can have significant benefits from a practical point of view since they remove the need to invert a sample covariance matrix, which can suffer from estimation error and will almost certainly be non-stationary. The general idea is to find groups of assets which share similar return characteristics over time and treat each group as a single composite asset. We then apply inverse volatility weightings to these new "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05090","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":"2026-05-18T02:26:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SKMvYgaV+r1ezQ5Nbok7lGx76d7ZYZbPa+2j3FR6t8cTDHhSiUWcUliM2kMqT18m4HSWgYSLvNdrUlrOXNohCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T17:35:46.467972Z"},"content_sha256":"5941bcb1a003987c9ab5f2b6c7331b56e03aff8c0cc0e3a38399a58d50dd0ba5","schema_version":"1.0","event_id":"sha256:5941bcb1a003987c9ab5f2b6c7331b56e03aff8c0cc0e3a38399a58d50dd0ba5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3DX7E6XO5KE5MDILD6KZSK6XBS/bundle.json","state_url":"https://pith.science/pith/3DX7E6XO5KE5MDILD6KZSK6XBS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3DX7E6XO5KE5MDILD6KZSK6XBS/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":"2026-06-26T17:35:46Z","links":{"resolver":"https://pith.science/pith/3DX7E6XO5KE5MDILD6KZSK6XBS","bundle":"https://pith.science/pith/3DX7E6XO5KE5MDILD6KZSK6XBS/bundle.json","state":"https://pith.science/pith/3DX7E6XO5KE5MDILD6KZSK6XBS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3DX7E6XO5KE5MDILD6KZSK6XBS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3DX7E6XO5KE5MDILD6KZSK6XBS","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":"d83b287042b7e15c4d114b4d55f9cb8cfa2fca690e6bcb471d139e5644ea40d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-02-18T00:27:39Z","title_canon_sha256":"9a38ae29b34b9464d57d7d9d0dac93744927a7cdaa8702607ef4a70e1b6bea79"},"schema_version":"1.0","source":{"id":"1502.05090","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05090","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05090v1","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05090","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"pith_short_12","alias_value":"3DX7E6XO5KE5","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3DX7E6XO5KE5MDIL","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3DX7E6XO","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:5941bcb1a003987c9ab5f2b6c7331b56e03aff8c0cc0e3a38399a58d50dd0ba5","target":"graph","created_at":"2026-05-18T02:26:52Z","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":"Motivated by the problem of computing investment portfolio weightings we investigate various methods of clustering as alternatives to traditional mean-variance approaches. Such methods can have significant benefits from a practical point of view since they remove the need to invert a sample covariance matrix, which can suffer from estimation error and will almost certainly be non-stationary. The general idea is to find groups of assets which share similar return characteristics over time and treat each group as a single composite asset. We then apply inverse volatility weightings to these new ","authors_text":"Aldo Pacchiano, Oliver Williams","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-02-18T00:27:39Z","title":"Real time clustering of time series using triangular potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05090","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:e51b940c4bafce0dbedbe533ce1c7c468c06042799cd22d55f6aed3223bfdc2c","target":"record","created_at":"2026-05-18T02:26:52Z","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":"d83b287042b7e15c4d114b4d55f9cb8cfa2fca690e6bcb471d139e5644ea40d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-02-18T00:27:39Z","title_canon_sha256":"9a38ae29b34b9464d57d7d9d0dac93744927a7cdaa8702607ef4a70e1b6bea79"},"schema_version":"1.0","source":{"id":"1502.05090","kind":"arxiv","version":1}},"canonical_sha256":"d8eff27aeeea89d60d0b1f95992bd70c9dc831311d14b94b5a8ee7ecc4107fcf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8eff27aeeea89d60d0b1f95992bd70c9dc831311d14b94b5a8ee7ecc4107fcf","first_computed_at":"2026-05-18T02:26:52.434816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:52.434816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v7KEMyDTo2Ceiie/G8ZSmlt1HT8xeGXbglPRr85S+WiRQvjcqCTVvrV9a/tz+IH42atyJkzCyRGjcr0U45dJAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:52.435248Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05090","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e51b940c4bafce0dbedbe533ce1c7c468c06042799cd22d55f6aed3223bfdc2c","sha256:5941bcb1a003987c9ab5f2b6c7331b56e03aff8c0cc0e3a38399a58d50dd0ba5"],"state_sha256":"df6f60f1ee0666fd7a7aba3ad0b03d36a765d1d567497eae1779cea702a862b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"00qsYmh1fPOi1IrzIpgdSIOSwNx7OfynlUw810M/VAjx4RSI95QDDpjOUcnq/f8zEH/ZRWb+jHAPTSkp/N8dCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T17:35:46.476634Z","bundle_sha256":"bfef2e113a669ed59698475a6e4f8de5687af0d624d116d3d38463565b3114e6"}}