{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:QLIJ2LJ5JORWSEQFNZIPADE5PW","short_pith_number":"pith:QLIJ2LJ5","canonical_record":{"source":{"id":"1207.7330","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2012-07-31T17:52:26Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"512f9bdcb3bc7e87e0b9d443e2cfc4f9fc4c319dfbc8d758f714c72392e46a58","abstract_canon_sha256":"9e2c39a5c2ac61c32eba552b680aeaad5d9c1838c3c91cebb52f8e57ed369b3b"},"schema_version":"1.0"},"canonical_sha256":"82d09d2d3d4ba36912056e50f00c9d7db09b5f2e54ad972e4e890c75ebb8dacb","source":{"kind":"arxiv","id":"1207.7330","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.7330","created_at":"2026-05-18T03:49:46Z"},{"alias_kind":"arxiv_version","alias_value":"1207.7330v1","created_at":"2026-05-18T03:49:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.7330","created_at":"2026-05-18T03:49:46Z"},{"alias_kind":"pith_short_12","alias_value":"QLIJ2LJ5JORW","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QLIJ2LJ5JORWSEQF","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QLIJ2LJ5","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:QLIJ2LJ5JORWSEQFNZIPADE5PW","target":"record","payload":{"canonical_record":{"source":{"id":"1207.7330","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2012-07-31T17:52:26Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"512f9bdcb3bc7e87e0b9d443e2cfc4f9fc4c319dfbc8d758f714c72392e46a58","abstract_canon_sha256":"9e2c39a5c2ac61c32eba552b680aeaad5d9c1838c3c91cebb52f8e57ed369b3b"},"schema_version":"1.0"},"canonical_sha256":"82d09d2d3d4ba36912056e50f00c9d7db09b5f2e54ad972e4e890c75ebb8dacb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:46.143254Z","signature_b64":"wd68BwKFyo3bhTtw4Xn4vUHC/ImUqsXh0KgpMEvWI22hx8qIQ7VyxtXzXAkyRYeVg6mnZi28mdHfg4IwmfFuDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82d09d2d3d4ba36912056e50f00c9d7db09b5f2e54ad972e4e890c75ebb8dacb","last_reissued_at":"2026-05-18T03:49:46.142487Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:46.142487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.7330","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":"2026-05-18T03:49:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UFM6iEouw8uduMTq2sbQT4q3yG3+lKEZv72MfTVF2oI8O0qk5dz50n/r1Uo9342Co57l+O6ne86VQ6XK0P/FAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T04:42:39.467390Z"},"content_sha256":"1c52a7490921b34dd4fe9b19d698b01a35f01dd1aa4f3d9280fe8ee45e7ec36a","schema_version":"1.0","event_id":"sha256:1c52a7490921b34dd4fe9b19d698b01a35f01dd1aa4f3d9280fe8ee45e7ec36a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:QLIJ2LJ5JORWSEQFNZIPADE5PW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Portfolio Choice with Transaction Costs: a User's Guide","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"q-fin.PM","authors_text":"Johannes Muhle-Karbe, Paolo Guasoni","submitted_at":"2012-07-31T17:52:26Z","abstract_excerpt":"Recent progress in portfolio choice has made a wide class of problems involving transaction costs tractable. We review the basic approach to these problems, and outline some directions for future research."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.7330","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":"2026-05-18T03:49:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pmeT2JAqTgEU2IFJfVHCVKr4W/2CdAwnBXvXe7P4saM6+BaHFNaCZGvK16HIBxdOD4ImkKWv8qdhYbuS5CgUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T04:42:39.467761Z"},"content_sha256":"ac0cd5ad76c9146b797946f4ea2cad4cbb8f3e071e7898fae797d950525bef2e","schema_version":"1.0","event_id":"sha256:ac0cd5ad76c9146b797946f4ea2cad4cbb8f3e071e7898fae797d950525bef2e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QLIJ2LJ5JORWSEQFNZIPADE5PW/bundle.json","state_url":"https://pith.science/pith/QLIJ2LJ5JORWSEQFNZIPADE5PW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QLIJ2LJ5JORWSEQFNZIPADE5PW/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":"2026-05-30T04:42:39Z","links":{"resolver":"https://pith.science/pith/QLIJ2LJ5JORWSEQFNZIPADE5PW","bundle":"https://pith.science/pith/QLIJ2LJ5JORWSEQFNZIPADE5PW/bundle.json","state":"https://pith.science/pith/QLIJ2LJ5JORWSEQFNZIPADE5PW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QLIJ2LJ5JORWSEQFNZIPADE5PW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QLIJ2LJ5JORWSEQFNZIPADE5PW","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":"9e2c39a5c2ac61c32eba552b680aeaad5d9c1838c3c91cebb52f8e57ed369b3b","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2012-07-31T17:52:26Z","title_canon_sha256":"512f9bdcb3bc7e87e0b9d443e2cfc4f9fc4c319dfbc8d758f714c72392e46a58"},"schema_version":"1.0","source":{"id":"1207.7330","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.7330","created_at":"2026-05-18T03:49:46Z"},{"alias_kind":"arxiv_version","alias_value":"1207.7330v1","created_at":"2026-05-18T03:49:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.7330","created_at":"2026-05-18T03:49:46Z"},{"alias_kind":"pith_short_12","alias_value":"QLIJ2LJ5JORW","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QLIJ2LJ5JORWSEQF","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QLIJ2LJ5","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:ac0cd5ad76c9146b797946f4ea2cad4cbb8f3e071e7898fae797d950525bef2e","target":"graph","created_at":"2026-05-18T03:49:46Z","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":"Recent progress in portfolio choice has made a wide class of problems involving transaction costs tractable. We review the basic approach to these problems, and outline some directions for future research.","authors_text":"Johannes Muhle-Karbe, Paolo Guasoni","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2012-07-31T17:52:26Z","title":"Portfolio Choice with Transaction Costs: a User's Guide"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.7330","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":"sha256:1c52a7490921b34dd4fe9b19d698b01a35f01dd1aa4f3d9280fe8ee45e7ec36a","target":"record","created_at":"2026-05-18T03:49:46Z","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":"9e2c39a5c2ac61c32eba552b680aeaad5d9c1838c3c91cebb52f8e57ed369b3b","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2012-07-31T17:52:26Z","title_canon_sha256":"512f9bdcb3bc7e87e0b9d443e2cfc4f9fc4c319dfbc8d758f714c72392e46a58"},"schema_version":"1.0","source":{"id":"1207.7330","kind":"arxiv","version":1}},"canonical_sha256":"82d09d2d3d4ba36912056e50f00c9d7db09b5f2e54ad972e4e890c75ebb8dacb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82d09d2d3d4ba36912056e50f00c9d7db09b5f2e54ad972e4e890c75ebb8dacb","first_computed_at":"2026-05-18T03:49:46.142487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:46.142487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wd68BwKFyo3bhTtw4Xn4vUHC/ImUqsXh0KgpMEvWI22hx8qIQ7VyxtXzXAkyRYeVg6mnZi28mdHfg4IwmfFuDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:46.143254Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.7330","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c52a7490921b34dd4fe9b19d698b01a35f01dd1aa4f3d9280fe8ee45e7ec36a","sha256:ac0cd5ad76c9146b797946f4ea2cad4cbb8f3e071e7898fae797d950525bef2e"],"state_sha256":"035d6e216eb7476b7ee7258f706c2c442ebfa1e83b040c50b34c00ac759e2301"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YaL3PZZauFJTGmf9j2O7brgz0w/O9ZBaHvCtWWehSyBkz9YNdzLKq9p8dO0uoqUCCUOUhQ/lUfMAmE8mmo8kDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T04:42:39.470184Z","bundle_sha256":"42d7a21a67183f6a7a86040df5335c92b9c37acd5a72a1190010db3f759620f5"}}