{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TJXG543AODEJMFVSYFSRNF55PZ","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":"cb8fee4c29e10d1031d422fa1da54d9072c28f8586e5fde4b4f0232d406c72a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2016-10-28T16:37:24Z","title_canon_sha256":"494871b15a76d0337a4b65429de1a6c113c2d07ea17fa7386dd8842ebcea85e1"},"schema_version":"1.0","source":{"id":"1610.09306","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09306","created_at":"2026-05-18T01:00:58Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09306v1","created_at":"2026-05-18T01:00:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09306","created_at":"2026-05-18T01:00:58Z"},{"alias_kind":"pith_short_12","alias_value":"TJXG543AODEJ","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TJXG543AODEJMFVS","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TJXG543A","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:e600774985914f83bd3ad479f5e43a9eff51944c7429b4c2c651835c709718c2","target":"graph","created_at":"2026-05-18T01:00:58Z","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":"The main results are two characterisations of log-concave densities in terms of the collection of lift zonoids corresponding to a peacock. These notions are recalled and connected to arbitrage-free asset pricing in financial mathematics.","authors_text":"Michael R. Tehranchi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2016-10-28T16:37:24Z","title":"Calls, zonoids, peacocks and log-concavity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09306","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":"sha256:2b21f433c874db25c0c0318fd3426e8bea089969bd954d5011736de284b1fc64","target":"record","created_at":"2026-05-18T01:00:58Z","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":"cb8fee4c29e10d1031d422fa1da54d9072c28f8586e5fde4b4f0232d406c72a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2016-10-28T16:37:24Z","title_canon_sha256":"494871b15a76d0337a4b65429de1a6c113c2d07ea17fa7386dd8842ebcea85e1"},"schema_version":"1.0","source":{"id":"1610.09306","kind":"arxiv","version":1}},"canonical_sha256":"9a6e6ef36070c89616b2c1651697bd7e4676fd223c2dbefda4c7b8dd45b0ecca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a6e6ef36070c89616b2c1651697bd7e4676fd223c2dbefda4c7b8dd45b0ecca","first_computed_at":"2026-05-18T01:00:58.508906Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:58.508906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ty47oLk9V++aBhH+GUDlukDZ6wr9EUUjv1vm38dzR2wNiZI7rjOupqgH0rwLFEnLHvnoEsg41wSEjFnmN8G3BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:58.509543Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09306","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b21f433c874db25c0c0318fd3426e8bea089969bd954d5011736de284b1fc64","sha256:e600774985914f83bd3ad479f5e43a9eff51944c7429b4c2c651835c709718c2"],"state_sha256":"29630e4e0530b7f84f8ad3c961e18c88f50e870c2cbb81d40d7c426efaede666"}