{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5BO5ZUDPCW6VZ24EMNOLDTKHF6","short_pith_number":"pith:5BO5ZUDP","canonical_record":{"source":{"id":"1311.2511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-11-11T17:45:58Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"ad9b5ffe9a15bc3a4c88087df541d51cf63e3c37e7ae2b2fdbb64edf26e7afa6","abstract_canon_sha256":"a594cbca1d0b017d978c9603d22ea12a4abd6dd049b33378b85e5d6a436ee025"},"schema_version":"1.0"},"canonical_sha256":"e85ddcd06f15bd5ceb84635cb1cd472facf7c9841ee2ea76cebbac4744529484","source":{"kind":"arxiv","id":"1311.2511","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2511","created_at":"2026-05-18T01:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2511v1","created_at":"2026-05-18T01:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2511","created_at":"2026-05-18T01:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"5BO5ZUDPCW6V","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5BO5ZUDPCW6VZ24E","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5BO5ZUDP","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5BO5ZUDPCW6VZ24EMNOLDTKHF6","target":"record","payload":{"canonical_record":{"source":{"id":"1311.2511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-11-11T17:45:58Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"ad9b5ffe9a15bc3a4c88087df541d51cf63e3c37e7ae2b2fdbb64edf26e7afa6","abstract_canon_sha256":"a594cbca1d0b017d978c9603d22ea12a4abd6dd049b33378b85e5d6a436ee025"},"schema_version":"1.0"},"canonical_sha256":"e85ddcd06f15bd5ceb84635cb1cd472facf7c9841ee2ea76cebbac4744529484","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:32.369923Z","signature_b64":"1coAnF+s8YtZc+6baeqnTS/6joZ9MRibbLjemRRWIXvMM0Tu+1tJO91KmNPRELd8D10kiW+wEb3oqLYVPpvgCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e85ddcd06f15bd5ceb84635cb1cd472facf7c9841ee2ea76cebbac4744529484","last_reissued_at":"2026-05-18T01:46:32.369513Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:32.369513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.2511","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":"2026-05-18T01:46:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Quhnn/PDI6GF/FPgklThBLZgFMbMGKUc44dp+g5ZrX6geP4TW3r1gCN4VaWKozXt8sz+uwlSUcAG4zeZSnxlAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:02:24.957246Z"},"content_sha256":"0dcbf4c8b16ada37736a56705636b1750f2fde279473f543d518e0c1309601e1","schema_version":"1.0","event_id":"sha256:0dcbf4c8b16ada37736a56705636b1750f2fde279473f543d518e0c1309601e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5BO5ZUDPCW6VZ24EMNOLDTKHF6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin Glasses and Nonlinear Constraints in Portfolio Optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"q-fin.PM","authors_text":"M. Andrecut","submitted_at":"2013-11-11T17:45:58Z","abstract_excerpt":"We discuss the portfolio optimization problem with the obligatory deposits constraint. Recently it has been shown that as a consequence of this nonlinear constraint, the solution consists of an exponentially large number of optimal portfolios, completely different from each other, and extremely sensitive to any changes in the input parameters of the problem, making the concept of rational decision making questionable. Here we reformulate the problem using a quadratic obligatory deposits constraint, and we show that from the physics point of view, finding an optimal portfolio amounts to calcula"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2511","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":"2026-05-18T01:46:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b8DvNs4d6z4/WGjqWCyWhBjF9b4dswBLOKBa5uPyCsKFG3/J61RtnlXkU30dfEn+yuaFzQeCceb8urR/NjdvBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:02:24.957666Z"},"content_sha256":"a726bd1bf4d975360f70aa305d5e895a667f07c5fe9c29c6690db5dd9155aa08","schema_version":"1.0","event_id":"sha256:a726bd1bf4d975360f70aa305d5e895a667f07c5fe9c29c6690db5dd9155aa08"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5BO5ZUDPCW6VZ24EMNOLDTKHF6/bundle.json","state_url":"https://pith.science/pith/5BO5ZUDPCW6VZ24EMNOLDTKHF6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5BO5ZUDPCW6VZ24EMNOLDTKHF6/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":"2026-05-26T23:02:24Z","links":{"resolver":"https://pith.science/pith/5BO5ZUDPCW6VZ24EMNOLDTKHF6","bundle":"https://pith.science/pith/5BO5ZUDPCW6VZ24EMNOLDTKHF6/bundle.json","state":"https://pith.science/pith/5BO5ZUDPCW6VZ24EMNOLDTKHF6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5BO5ZUDPCW6VZ24EMNOLDTKHF6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5BO5ZUDPCW6VZ24EMNOLDTKHF6","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":"a594cbca1d0b017d978c9603d22ea12a4abd6dd049b33378b85e5d6a436ee025","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-11-11T17:45:58Z","title_canon_sha256":"ad9b5ffe9a15bc3a4c88087df541d51cf63e3c37e7ae2b2fdbb64edf26e7afa6"},"schema_version":"1.0","source":{"id":"1311.2511","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2511","created_at":"2026-05-18T01:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2511v1","created_at":"2026-05-18T01:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2511","created_at":"2026-05-18T01:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"5BO5ZUDPCW6V","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5BO5ZUDPCW6VZ24E","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5BO5ZUDP","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:a726bd1bf4d975360f70aa305d5e895a667f07c5fe9c29c6690db5dd9155aa08","target":"graph","created_at":"2026-05-18T01:46:32Z","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":"We discuss the portfolio optimization problem with the obligatory deposits constraint. Recently it has been shown that as a consequence of this nonlinear constraint, the solution consists of an exponentially large number of optimal portfolios, completely different from each other, and extremely sensitive to any changes in the input parameters of the problem, making the concept of rational decision making questionable. Here we reformulate the problem using a quadratic obligatory deposits constraint, and we show that from the physics point of view, finding an optimal portfolio amounts to calcula","authors_text":"M. Andrecut","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-11-11T17:45:58Z","title":"Spin Glasses and Nonlinear Constraints in Portfolio Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2511","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":"sha256:0dcbf4c8b16ada37736a56705636b1750f2fde279473f543d518e0c1309601e1","target":"record","created_at":"2026-05-18T01:46:32Z","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":"a594cbca1d0b017d978c9603d22ea12a4abd6dd049b33378b85e5d6a436ee025","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-11-11T17:45:58Z","title_canon_sha256":"ad9b5ffe9a15bc3a4c88087df541d51cf63e3c37e7ae2b2fdbb64edf26e7afa6"},"schema_version":"1.0","source":{"id":"1311.2511","kind":"arxiv","version":1}},"canonical_sha256":"e85ddcd06f15bd5ceb84635cb1cd472facf7c9841ee2ea76cebbac4744529484","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e85ddcd06f15bd5ceb84635cb1cd472facf7c9841ee2ea76cebbac4744529484","first_computed_at":"2026-05-18T01:46:32.369513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:32.369513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1coAnF+s8YtZc+6baeqnTS/6joZ9MRibbLjemRRWIXvMM0Tu+1tJO91KmNPRELd8D10kiW+wEb3oqLYVPpvgCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:32.369923Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.2511","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0dcbf4c8b16ada37736a56705636b1750f2fde279473f543d518e0c1309601e1","sha256:a726bd1bf4d975360f70aa305d5e895a667f07c5fe9c29c6690db5dd9155aa08"],"state_sha256":"436932a65a089d17fe0f6a3c1fc92f57f03e51aa2d949644efc1804567c1dccd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sRBpFCITcufpMs8DH8ehGVk+nBxL4pQ6w4Bsfjbs6TASm/0MUnZ5Bugq+fe8Tnsi9VJ9mDDUNIG1JLKeUkVlBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T23:02:24.960546Z","bundle_sha256":"978aa3dd75cf9f4ac93cd3eefb15471d2079759c561348d23459b6dca0bd0ab5"}}