{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:USIGSBZRF2VNPWGUHLBUACX4ZE","short_pith_number":"pith:USIGSBZR","canonical_record":{"source":{"id":"1910.05561","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2019-10-12T13:19:00Z","cross_cats_sorted":["cs.IT","math.IT","q-fin.PM","q-fin.ST"],"title_canon_sha256":"055ba06cc1f8cd4f2c9be0bc25388295f2fea02e0e3381a6aa193a6dcfc73724","abstract_canon_sha256":"ad1258b735d4f6a3f364339e5764df4e0e26549548fdb61e7505a397124069f5"},"schema_version":"1.0"},"canonical_sha256":"a4906907312eaad7d8d43ac3400afcc92780def91a259155f29cc64a5b75562e","source":{"kind":"arxiv","id":"1910.05561","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.05561","created_at":"2026-07-05T00:12:30Z"},{"alias_kind":"arxiv_version","alias_value":"1910.05561v3","created_at":"2026-07-05T00:12:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.05561","created_at":"2026-07-05T00:12:30Z"},{"alias_kind":"pith_short_12","alias_value":"USIGSBZRF2VN","created_at":"2026-07-05T00:12:30Z"},{"alias_kind":"pith_short_16","alias_value":"USIGSBZRF2VNPWGU","created_at":"2026-07-05T00:12:30Z"},{"alias_kind":"pith_short_8","alias_value":"USIGSBZR","created_at":"2026-07-05T00:12:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:USIGSBZRF2VNPWGUHLBUACX4ZE","target":"record","payload":{"canonical_record":{"source":{"id":"1910.05561","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2019-10-12T13:19:00Z","cross_cats_sorted":["cs.IT","math.IT","q-fin.PM","q-fin.ST"],"title_canon_sha256":"055ba06cc1f8cd4f2c9be0bc25388295f2fea02e0e3381a6aa193a6dcfc73724","abstract_canon_sha256":"ad1258b735d4f6a3f364339e5764df4e0e26549548fdb61e7505a397124069f5"},"schema_version":"1.0"},"canonical_sha256":"a4906907312eaad7d8d43ac3400afcc92780def91a259155f29cc64a5b75562e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:12:30.439829Z","signature_b64":"32isxrpLEoW2cjNZnftmOP6fG9G8fgNODsj7cs/hWJX6aZoBLB6IGXKIXXy57lD0O43YBIoKB8pBy/fqiepNAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4906907312eaad7d8d43ac3400afcc92780def91a259155f29cc64a5b75562e","last_reissued_at":"2026-07-05T00:12:30.439495Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:12:30.439495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1910.05561","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:12:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Tkj5Y62UDOKCL+hrSXD5RY4yYxEmGqgfK/weB8q0LO//uP03N+MroHI0DBWNt/Iem1L3S+/q+AfErC36q7WDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-13T03:27:42.815632Z"},"content_sha256":"3bdcdcd510cea07f835e3d47d9dbdf4a274bda9cd1a8fe5c114245d52031b406","schema_version":"1.0","event_id":"sha256:3bdcdcd510cea07f835e3d47d9dbdf4a274bda9cd1a8fe5c114245d52031b406"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:USIGSBZRF2VNPWGUHLBUACX4ZE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Portfolio Cuts: A Graph-Theoretic Framework to Diversification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT","q-fin.PM","q-fin.ST"],"primary_cat":"eess.SP","authors_text":"Anthony G. Constantinides, Bruno Scalzo Dees, Danilo P. Mandic, Ljubisa Stankovic","submitted_at":"2019-10-12T13:19:00Z","abstract_excerpt":"Investment returns naturally reside on irregular domains, however, standard multivariate portfolio optimization methods are agnostic to data structure. To this end, we investigate ways for domain knowledge to be conveniently incorporated into the analysis, by means of graphs. Next, to relax the assumption of the completeness of graph topology and to equip the graph model with practically relevant physical intuition, we introduce the portfolio cut paradigm. Such a graph-theoretic portfolio partitioning technique is shown to allow the investor to devise robust and tractable asset allocation sche"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.05561","kind":"arxiv","version":3},"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/1910.05561/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":"2026-07-05T00:12:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gpQfwRbixt32vL1QJq4maDOngPGUHef00GnHExgF8asGqJyoQRJre5vQEn8z0jOYor/88uMuyXRQQEtED1BnCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-13T03:27:42.816231Z"},"content_sha256":"87782040850649b24ad96abe9b4c4df42e5f90028f3c5b360f45697ceb9dd897","schema_version":"1.0","event_id":"sha256:87782040850649b24ad96abe9b4c4df42e5f90028f3c5b360f45697ceb9dd897"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/USIGSBZRF2VNPWGUHLBUACX4ZE/bundle.json","state_url":"https://pith.science/pith/USIGSBZRF2VNPWGUHLBUACX4ZE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/USIGSBZRF2VNPWGUHLBUACX4ZE/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":"2026-07-13T03:27:42Z","links":{"resolver":"https://pith.science/pith/USIGSBZRF2VNPWGUHLBUACX4ZE","bundle":"https://pith.science/pith/USIGSBZRF2VNPWGUHLBUACX4ZE/bundle.json","state":"https://pith.science/pith/USIGSBZRF2VNPWGUHLBUACX4ZE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/USIGSBZRF2VNPWGUHLBUACX4ZE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:USIGSBZRF2VNPWGUHLBUACX4ZE","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":"ad1258b735d4f6a3f364339e5764df4e0e26549548fdb61e7505a397124069f5","cross_cats_sorted":["cs.IT","math.IT","q-fin.PM","q-fin.ST"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2019-10-12T13:19:00Z","title_canon_sha256":"055ba06cc1f8cd4f2c9be0bc25388295f2fea02e0e3381a6aa193a6dcfc73724"},"schema_version":"1.0","source":{"id":"1910.05561","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.05561","created_at":"2026-07-05T00:12:30Z"},{"alias_kind":"arxiv_version","alias_value":"1910.05561v3","created_at":"2026-07-05T00:12:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.05561","created_at":"2026-07-05T00:12:30Z"},{"alias_kind":"pith_short_12","alias_value":"USIGSBZRF2VN","created_at":"2026-07-05T00:12:30Z"},{"alias_kind":"pith_short_16","alias_value":"USIGSBZRF2VNPWGU","created_at":"2026-07-05T00:12:30Z"},{"alias_kind":"pith_short_8","alias_value":"USIGSBZR","created_at":"2026-07-05T00:12:30Z"}],"graph_snapshots":[{"event_id":"sha256:87782040850649b24ad96abe9b4c4df42e5f90028f3c5b360f45697ceb9dd897","target":"graph","created_at":"2026-07-05T00:12:30Z","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/1910.05561/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Investment returns naturally reside on irregular domains, however, standard multivariate portfolio optimization methods are agnostic to data structure. To this end, we investigate ways for domain knowledge to be conveniently incorporated into the analysis, by means of graphs. Next, to relax the assumption of the completeness of graph topology and to equip the graph model with practically relevant physical intuition, we introduce the portfolio cut paradigm. Such a graph-theoretic portfolio partitioning technique is shown to allow the investor to devise robust and tractable asset allocation sche","authors_text":"Anthony G. Constantinides, Bruno Scalzo Dees, Danilo P. Mandic, Ljubisa Stankovic","cross_cats":["cs.IT","math.IT","q-fin.PM","q-fin.ST"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2019-10-12T13:19:00Z","title":"Portfolio Cuts: A Graph-Theoretic Framework to Diversification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.05561","kind":"arxiv","version":3},"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":"sha256:3bdcdcd510cea07f835e3d47d9dbdf4a274bda9cd1a8fe5c114245d52031b406","target":"record","created_at":"2026-07-05T00:12:30Z","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":"ad1258b735d4f6a3f364339e5764df4e0e26549548fdb61e7505a397124069f5","cross_cats_sorted":["cs.IT","math.IT","q-fin.PM","q-fin.ST"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2019-10-12T13:19:00Z","title_canon_sha256":"055ba06cc1f8cd4f2c9be0bc25388295f2fea02e0e3381a6aa193a6dcfc73724"},"schema_version":"1.0","source":{"id":"1910.05561","kind":"arxiv","version":3}},"canonical_sha256":"a4906907312eaad7d8d43ac3400afcc92780def91a259155f29cc64a5b75562e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4906907312eaad7d8d43ac3400afcc92780def91a259155f29cc64a5b75562e","first_computed_at":"2026-07-05T00:12:30.439495Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:12:30.439495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"32isxrpLEoW2cjNZnftmOP6fG9G8fgNODsj7cs/hWJX6aZoBLB6IGXKIXXy57lD0O43YBIoKB8pBy/fqiepNAA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:12:30.439829Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.05561","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bdcdcd510cea07f835e3d47d9dbdf4a274bda9cd1a8fe5c114245d52031b406","sha256:87782040850649b24ad96abe9b4c4df42e5f90028f3c5b360f45697ceb9dd897"],"state_sha256":"18f42c3b0246ae92a863fbf48ba49c4f52ab808e0a5a4fdd0f03bc126b20d465"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3lPfk2YM5jMCrV3WLJH81Sc+HU5O0yElZ2xph+nwYQnVgZELoC3dpW1XBCMqblKMsYYl6N8YHRl+I3NXT0IEBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-13T03:27:42.818851Z","bundle_sha256":"43f59f10ad6b3b4e6b6a479ec3d148611bcff94f881083eea5bb4c03a3f62aeb"}}