{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:2GRVAIMPC22TVOQQZJWB5UGF7N","short_pith_number":"pith:2GRVAIMP","canonical_record":{"source":{"id":"1301.3886","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-01-16T15:52:13Z","cross_cats_sorted":["q-fin.GN"],"title_canon_sha256":"27a85c275d1f8c9d401f8ef79b07d603267e232b6081773f0ebc1e59f0df7ce6","abstract_canon_sha256":"b914fc144de15f02644fd5644a19fbf14fbc9d7118b1887c8808e9cfb21f6c1f"},"schema_version":"1.0"},"canonical_sha256":"d1a350218f16b53aba10ca6c1ed0c5fb74049144dcd384a7a7abf5658569c61f","source":{"kind":"arxiv","id":"1301.3886","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3886","created_at":"2026-05-18T03:36:15Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3886v1","created_at":"2026-05-18T03:36:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3886","created_at":"2026-05-18T03:36:15Z"},{"alias_kind":"pith_short_12","alias_value":"2GRVAIMPC22T","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"2GRVAIMPC22TVOQQ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"2GRVAIMP","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:2GRVAIMPC22TVOQQZJWB5UGF7N","target":"record","payload":{"canonical_record":{"source":{"id":"1301.3886","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-01-16T15:52:13Z","cross_cats_sorted":["q-fin.GN"],"title_canon_sha256":"27a85c275d1f8c9d401f8ef79b07d603267e232b6081773f0ebc1e59f0df7ce6","abstract_canon_sha256":"b914fc144de15f02644fd5644a19fbf14fbc9d7118b1887c8808e9cfb21f6c1f"},"schema_version":"1.0"},"canonical_sha256":"d1a350218f16b53aba10ca6c1ed0c5fb74049144dcd384a7a7abf5658569c61f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:15.047749Z","signature_b64":"6r7I4eLWGysD129yL/Zq97YO+sEB4HZ8sGPdIaAh41tf0BehqDtkicdfxZzWIib1+yrh6fUDstCH0FyxQDjxDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1a350218f16b53aba10ca6c1ed0c5fb74049144dcd384a7a7abf5658569c61f","last_reissued_at":"2026-05-18T03:36:15.046933Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:15.046933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.3886","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":"2026-05-18T03:36:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TA8lrgMrxsTlG/QjffdixytbmLt55a5VhOE1c9iQXxffpKvTbjtlmY4a/5WJpZ1NryhL2NSYV4TerENCSkRiDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:58:52.293453Z"},"content_sha256":"0507e52de27f9e2349c5fdd6cbb7c4e9b3d642f8f96588a173da90660f3be2dc","schema_version":"1.0","event_id":"sha256:0507e52de27f9e2349c5fdd6cbb7c4e9b3d642f8f96588a173da90660f3be2dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:2GRVAIMPC22TVOQQZJWB5UGF7N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compact Securities Markets for Pareto Optimal Reallocation of Risk","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.GN"],"primary_cat":"cs.GT","authors_text":"David M. Pennock, Michael P. Wellman","submitted_at":"2013-01-16T15:52:13Z","abstract_excerpt":"The emph{securities market} is the fundamental theoretical framework in economics and finance for resource allocation under uncertainty. Securities serve both to reallocate risk and to disseminate probabilistic information. emph{Complete} securities markets - which contain one security for every possible state of nature - support Pareto optimal allocations of risk. Complete markets suffer from the same exponential dependence on the number of underlying events as do joint probability distributions. We examine whether markets can be structured and \"compacted\" in the same manner as Bayesian netwo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3886","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":"2026-05-18T03:36:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"040bxBIa8HmQQGDLEjOp69sqdLr7KCPAvTjdPFCjNw3A5V10oh6SmLXJNh4EPVPjPK92OayCe8wV3DELKHyJAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:58:52.294048Z"},"content_sha256":"b1f7c87e46ac8eacc2ca14938d528d99427775b123d5e38f660493585e062be2","schema_version":"1.0","event_id":"sha256:b1f7c87e46ac8eacc2ca14938d528d99427775b123d5e38f660493585e062be2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2GRVAIMPC22TVOQQZJWB5UGF7N/bundle.json","state_url":"https://pith.science/pith/2GRVAIMPC22TVOQQZJWB5UGF7N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2GRVAIMPC22TVOQQZJWB5UGF7N/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":"2026-06-04T22:58:52Z","links":{"resolver":"https://pith.science/pith/2GRVAIMPC22TVOQQZJWB5UGF7N","bundle":"https://pith.science/pith/2GRVAIMPC22TVOQQZJWB5UGF7N/bundle.json","state":"https://pith.science/pith/2GRVAIMPC22TVOQQZJWB5UGF7N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2GRVAIMPC22TVOQQZJWB5UGF7N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2GRVAIMPC22TVOQQZJWB5UGF7N","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":"b914fc144de15f02644fd5644a19fbf14fbc9d7118b1887c8808e9cfb21f6c1f","cross_cats_sorted":["q-fin.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-01-16T15:52:13Z","title_canon_sha256":"27a85c275d1f8c9d401f8ef79b07d603267e232b6081773f0ebc1e59f0df7ce6"},"schema_version":"1.0","source":{"id":"1301.3886","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3886","created_at":"2026-05-18T03:36:15Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3886v1","created_at":"2026-05-18T03:36:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3886","created_at":"2026-05-18T03:36:15Z"},{"alias_kind":"pith_short_12","alias_value":"2GRVAIMPC22T","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"2GRVAIMPC22TVOQQ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"2GRVAIMP","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:b1f7c87e46ac8eacc2ca14938d528d99427775b123d5e38f660493585e062be2","target":"graph","created_at":"2026-05-18T03:36:15Z","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 emph{securities market} is the fundamental theoretical framework in economics and finance for resource allocation under uncertainty. Securities serve both to reallocate risk and to disseminate probabilistic information. emph{Complete} securities markets - which contain one security for every possible state of nature - support Pareto optimal allocations of risk. Complete markets suffer from the same exponential dependence on the number of underlying events as do joint probability distributions. We examine whether markets can be structured and \"compacted\" in the same manner as Bayesian netwo","authors_text":"David M. Pennock, Michael P. Wellman","cross_cats":["q-fin.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-01-16T15:52:13Z","title":"Compact Securities Markets for Pareto Optimal Reallocation of Risk"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3886","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":"sha256:0507e52de27f9e2349c5fdd6cbb7c4e9b3d642f8f96588a173da90660f3be2dc","target":"record","created_at":"2026-05-18T03:36:15Z","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":"b914fc144de15f02644fd5644a19fbf14fbc9d7118b1887c8808e9cfb21f6c1f","cross_cats_sorted":["q-fin.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-01-16T15:52:13Z","title_canon_sha256":"27a85c275d1f8c9d401f8ef79b07d603267e232b6081773f0ebc1e59f0df7ce6"},"schema_version":"1.0","source":{"id":"1301.3886","kind":"arxiv","version":1}},"canonical_sha256":"d1a350218f16b53aba10ca6c1ed0c5fb74049144dcd384a7a7abf5658569c61f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1a350218f16b53aba10ca6c1ed0c5fb74049144dcd384a7a7abf5658569c61f","first_computed_at":"2026-05-18T03:36:15.046933Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:15.046933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6r7I4eLWGysD129yL/Zq97YO+sEB4HZ8sGPdIaAh41tf0BehqDtkicdfxZzWIib1+yrh6fUDstCH0FyxQDjxDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:15.047749Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.3886","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0507e52de27f9e2349c5fdd6cbb7c4e9b3d642f8f96588a173da90660f3be2dc","sha256:b1f7c87e46ac8eacc2ca14938d528d99427775b123d5e38f660493585e062be2"],"state_sha256":"9d8f3f0e569a24ff966914c721bbd20d3fe5772b405639362467d36c89410c26"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v62mgprImDmlbuED7K7zN+cdvLhlfjQhlYB1ICnV8SbmrL6RCKrLWzSSL6SjJutES7PFtcNkYEWZPyGJAM1RAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T22:58:52.297583Z","bundle_sha256":"631255d495bb21418f3a2fa113e4b11dde5af23ba44975e5ebf4503f088dbc08"}}