{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:S7O3USMPTY6PAAFBJEWNNERBSG","short_pith_number":"pith:S7O3USMP","canonical_record":{"source":{"id":"1509.05954","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2015-09-20T02:04:14Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"272172fb69bf953d84655c21125be7b82d285edac7b7f777bff83ff3a68fa77c","abstract_canon_sha256":"225f2fa5714ab02d6d229a7decf0b2ad9eb243bdb458bdd6425b8ab4359ca78c"},"schema_version":"1.0"},"canonical_sha256":"97ddba498f9e3cf000a1492cd6922191a6ae4780cfceccf4aac8db1e2ee29e69","source":{"kind":"arxiv","id":"1509.05954","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.05954","created_at":"2026-05-18T01:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"1509.05954v1","created_at":"2026-05-18T01:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.05954","created_at":"2026-05-18T01:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"S7O3USMPTY6P","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"S7O3USMPTY6PAAFB","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"S7O3USMP","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:S7O3USMPTY6PAAFBJEWNNERBSG","target":"record","payload":{"canonical_record":{"source":{"id":"1509.05954","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2015-09-20T02:04:14Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"272172fb69bf953d84655c21125be7b82d285edac7b7f777bff83ff3a68fa77c","abstract_canon_sha256":"225f2fa5714ab02d6d229a7decf0b2ad9eb243bdb458bdd6425b8ab4359ca78c"},"schema_version":"1.0"},"canonical_sha256":"97ddba498f9e3cf000a1492cd6922191a6ae4780cfceccf4aac8db1e2ee29e69","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:36.266403Z","signature_b64":"FT5+dErwkdtYG9jTzSS1G5WqeZ5bN2/BuWBpmSxasHTwWO3zcPRC1crD6OFDS6HnaP4zz2sO/pN340aO6M2YCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97ddba498f9e3cf000a1492cd6922191a6ae4780cfceccf4aac8db1e2ee29e69","last_reissued_at":"2026-05-18T01:32:36.265849Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:36.265849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.05954","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":"2026-05-18T01:32:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cmdrnlkySMPvUjkBkmDyrhWGjwl9kSq0aZMGPwycxo1e+GF/qyLYeVurbetiH6Cl33jspDishEiS0wdzB2EOBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T09:46:50.788481Z"},"content_sha256":"a8f7f2c7397278885a9f204cea954bb3663356061a2c095290c50e7fc29817a5","schema_version":"1.0","event_id":"sha256:a8f7f2c7397278885a9f204cea954bb3663356061a2c095290c50e7fc29817a5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:S7O3USMPTY6PAAFBJEWNNERBSG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mean-Reverting Portfolios: Tradeoffs Between Sparsity and Volatility","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.AP"],"primary_cat":"q-fin.ST","authors_text":"Alexandre d'Aspremont, Marco Cuturi","submitted_at":"2015-09-20T02:04:14Z","abstract_excerpt":"Mean-reverting assets are one of the holy grails of financial markets: if such assets existed, they would provide trivially profitable investment strategies for any investor able to trade them, thanks to the knowledge that such assets oscillate predictably around their long term mean. The modus operandi of cointegration-based trading strategies [Tsay, 2005, {\\S}8] is to create first a portfolio of assets whose aggregate value mean-reverts, to exploit that knowledge by selling short or buying that portfolio when its value deviates from its long-term mean. Such portfolios are typically selected "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.05954","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":"2026-05-18T01:32:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/AZZJyF+jes+CctbiV0rbnY4t8ZUv4cfZGCmKaaHI53l+uH7mobwDLHvfIfnPSEbpoL7xKbQNqs1BBjs8qWVAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T09:46:50.788868Z"},"content_sha256":"245a211a0beadbd6974f3820a42b578d4fb595128c1778dad622fe587b648912","schema_version":"1.0","event_id":"sha256:245a211a0beadbd6974f3820a42b578d4fb595128c1778dad622fe587b648912"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S7O3USMPTY6PAAFBJEWNNERBSG/bundle.json","state_url":"https://pith.science/pith/S7O3USMPTY6PAAFBJEWNNERBSG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S7O3USMPTY6PAAFBJEWNNERBSG/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":"2026-05-25T09:46:50Z","links":{"resolver":"https://pith.science/pith/S7O3USMPTY6PAAFBJEWNNERBSG","bundle":"https://pith.science/pith/S7O3USMPTY6PAAFBJEWNNERBSG/bundle.json","state":"https://pith.science/pith/S7O3USMPTY6PAAFBJEWNNERBSG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S7O3USMPTY6PAAFBJEWNNERBSG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:S7O3USMPTY6PAAFBJEWNNERBSG","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":"225f2fa5714ab02d6d229a7decf0b2ad9eb243bdb458bdd6425b8ab4359ca78c","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2015-09-20T02:04:14Z","title_canon_sha256":"272172fb69bf953d84655c21125be7b82d285edac7b7f777bff83ff3a68fa77c"},"schema_version":"1.0","source":{"id":"1509.05954","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.05954","created_at":"2026-05-18T01:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"1509.05954v1","created_at":"2026-05-18T01:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.05954","created_at":"2026-05-18T01:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"S7O3USMPTY6P","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"S7O3USMPTY6PAAFB","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"S7O3USMP","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:245a211a0beadbd6974f3820a42b578d4fb595128c1778dad622fe587b648912","target":"graph","created_at":"2026-05-18T01:32:36Z","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":"Mean-reverting assets are one of the holy grails of financial markets: if such assets existed, they would provide trivially profitable investment strategies for any investor able to trade them, thanks to the knowledge that such assets oscillate predictably around their long term mean. The modus operandi of cointegration-based trading strategies [Tsay, 2005, {\\S}8] is to create first a portfolio of assets whose aggregate value mean-reverts, to exploit that knowledge by selling short or buying that portfolio when its value deviates from its long-term mean. Such portfolios are typically selected ","authors_text":"Alexandre d'Aspremont, Marco Cuturi","cross_cats":["stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2015-09-20T02:04:14Z","title":"Mean-Reverting Portfolios: Tradeoffs Between Sparsity and Volatility"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.05954","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:a8f7f2c7397278885a9f204cea954bb3663356061a2c095290c50e7fc29817a5","target":"record","created_at":"2026-05-18T01:32:36Z","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":"225f2fa5714ab02d6d229a7decf0b2ad9eb243bdb458bdd6425b8ab4359ca78c","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2015-09-20T02:04:14Z","title_canon_sha256":"272172fb69bf953d84655c21125be7b82d285edac7b7f777bff83ff3a68fa77c"},"schema_version":"1.0","source":{"id":"1509.05954","kind":"arxiv","version":1}},"canonical_sha256":"97ddba498f9e3cf000a1492cd6922191a6ae4780cfceccf4aac8db1e2ee29e69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97ddba498f9e3cf000a1492cd6922191a6ae4780cfceccf4aac8db1e2ee29e69","first_computed_at":"2026-05-18T01:32:36.265849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:36.265849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FT5+dErwkdtYG9jTzSS1G5WqeZ5bN2/BuWBpmSxasHTwWO3zcPRC1crD6OFDS6HnaP4zz2sO/pN340aO6M2YCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:36.266403Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.05954","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8f7f2c7397278885a9f204cea954bb3663356061a2c095290c50e7fc29817a5","sha256:245a211a0beadbd6974f3820a42b578d4fb595128c1778dad622fe587b648912"],"state_sha256":"3394ab4df6a91f08bf5f331e8875f8b80868ed9e35da36bd7308f436042c7788"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ErT+x3R6va+SoiT6Ozd+oFT1wGB+EqtlduubSF1iRzcq8aImq8SbpTnIxMpu/2XVZx0m0nMs9yIlJm5gMo65BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T09:46:50.791687Z","bundle_sha256":"1bf68d473bd9cb9f284c531579d9e4d144722ad1fde6e9142464929f08a9afec"}}