{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:GHPEUFGRXNTS7NDVFPIVSC6E6S","short_pith_number":"pith:GHPEUFGR","canonical_record":{"source":{"id":"1507.08333","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2015-07-29T22:25:09Z","cross_cats_sorted":[],"title_canon_sha256":"35c0d140e06a3c07df373fe4ec372c17ccc3cbb7e6cabbfbe710f8fd86c8a7ae","abstract_canon_sha256":"5f50177229de941a24ca34d6c3a7f6441bc086b1f655c21aab318d735381b134"},"schema_version":"1.0"},"canonical_sha256":"31de4a14d1bb672fb4752bd1590bc4f4b7a0de5b1eeec76bbc36fe95a590eec1","source":{"kind":"arxiv","id":"1507.08333","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.08333","created_at":"2026-05-18T01:35:06Z"},{"alias_kind":"arxiv_version","alias_value":"1507.08333v2","created_at":"2026-05-18T01:35:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08333","created_at":"2026-05-18T01:35:06Z"},{"alias_kind":"pith_short_12","alias_value":"GHPEUFGRXNTS","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GHPEUFGRXNTS7NDV","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GHPEUFGR","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:GHPEUFGRXNTS7NDVFPIVSC6E6S","target":"record","payload":{"canonical_record":{"source":{"id":"1507.08333","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2015-07-29T22:25:09Z","cross_cats_sorted":[],"title_canon_sha256":"35c0d140e06a3c07df373fe4ec372c17ccc3cbb7e6cabbfbe710f8fd86c8a7ae","abstract_canon_sha256":"5f50177229de941a24ca34d6c3a7f6441bc086b1f655c21aab318d735381b134"},"schema_version":"1.0"},"canonical_sha256":"31de4a14d1bb672fb4752bd1590bc4f4b7a0de5b1eeec76bbc36fe95a590eec1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:06.554507Z","signature_b64":"krMMKaA3x+w3ykhtv+Nf7pRtaoSBA/ku6pqbZP4FDP+mSczO8JDDcGZ5JXuY9wtLlEnI1kSgwHLEhESxl7xcCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31de4a14d1bb672fb4752bd1590bc4f4b7a0de5b1eeec76bbc36fe95a590eec1","last_reissued_at":"2026-05-18T01:35:06.554020Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:06.554020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.08333","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e7FkRAZa1rWQ2jLEtR/6EZvWFBhpzW0Z85kwWugMQ8+dwDnbQu6MW0Jv6LSv8eJiBT237SZHfBK9rmbIHCY7AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:40:36.643715Z"},"content_sha256":"46dd7d8237c7eacfa78c3b4250a4239f53c94c786eff5c5968435ff7a04e61fd","schema_version":"1.0","event_id":"sha256:46dd7d8237c7eacfa78c3b4250a4239f53c94c786eff5c5968435ff7a04e61fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:GHPEUFGRXNTS7NDVFPIVSC6E6S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A risk analysis for a system stabilized by a central agent","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.MF","authors_text":"George Papanicolaou, Josselin Garnier, Tzu-Wei Yang","submitted_at":"2015-07-29T22:25:09Z","abstract_excerpt":"We formulate and analyze a multi-agent model for the evolution of individual and systemic risk in which the local agents interact with each other through a central agent who, in turn, is influenced by the mean field of the local agents. The central agent is stabilized by a bistable potential, the only stabilizing force in the system. The local agents derive their stability only from the central agent. In the mean field limit of a large number of local agents we show that the systemic risk decreases when the strength of the interaction of the local agents with the central agent increases. This "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08333","kind":"arxiv","version":2},"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":"2026-05-18T01:35:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QdumFAnSk3weQ0aV6PaN6KqyReF+oXJJ43WvoI6iuShfL2PrwlBj84MMCyePK7NzQ13BQzgAz39W66lpm/LZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:40:36.645127Z"},"content_sha256":"3ef9ea2ed6de71ebfb69e22aaeebcd301884495e50ef1c2153c47f83a7510ae6","schema_version":"1.0","event_id":"sha256:3ef9ea2ed6de71ebfb69e22aaeebcd301884495e50ef1c2153c47f83a7510ae6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GHPEUFGRXNTS7NDVFPIVSC6E6S/bundle.json","state_url":"https://pith.science/pith/GHPEUFGRXNTS7NDVFPIVSC6E6S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GHPEUFGRXNTS7NDVFPIVSC6E6S/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":"2026-06-11T06:40:36Z","links":{"resolver":"https://pith.science/pith/GHPEUFGRXNTS7NDVFPIVSC6E6S","bundle":"https://pith.science/pith/GHPEUFGRXNTS7NDVFPIVSC6E6S/bundle.json","state":"https://pith.science/pith/GHPEUFGRXNTS7NDVFPIVSC6E6S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GHPEUFGRXNTS7NDVFPIVSC6E6S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GHPEUFGRXNTS7NDVFPIVSC6E6S","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":"5f50177229de941a24ca34d6c3a7f6441bc086b1f655c21aab318d735381b134","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2015-07-29T22:25:09Z","title_canon_sha256":"35c0d140e06a3c07df373fe4ec372c17ccc3cbb7e6cabbfbe710f8fd86c8a7ae"},"schema_version":"1.0","source":{"id":"1507.08333","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.08333","created_at":"2026-05-18T01:35:06Z"},{"alias_kind":"arxiv_version","alias_value":"1507.08333v2","created_at":"2026-05-18T01:35:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08333","created_at":"2026-05-18T01:35:06Z"},{"alias_kind":"pith_short_12","alias_value":"GHPEUFGRXNTS","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GHPEUFGRXNTS7NDV","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GHPEUFGR","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:3ef9ea2ed6de71ebfb69e22aaeebcd301884495e50ef1c2153c47f83a7510ae6","target":"graph","created_at":"2026-05-18T01:35:06Z","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 formulate and analyze a multi-agent model for the evolution of individual and systemic risk in which the local agents interact with each other through a central agent who, in turn, is influenced by the mean field of the local agents. The central agent is stabilized by a bistable potential, the only stabilizing force in the system. The local agents derive their stability only from the central agent. In the mean field limit of a large number of local agents we show that the systemic risk decreases when the strength of the interaction of the local agents with the central agent increases. This ","authors_text":"George Papanicolaou, Josselin Garnier, Tzu-Wei Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2015-07-29T22:25:09Z","title":"A risk analysis for a system stabilized by a central agent"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08333","kind":"arxiv","version":2},"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":"sha256:46dd7d8237c7eacfa78c3b4250a4239f53c94c786eff5c5968435ff7a04e61fd","target":"record","created_at":"2026-05-18T01:35:06Z","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":"5f50177229de941a24ca34d6c3a7f6441bc086b1f655c21aab318d735381b134","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2015-07-29T22:25:09Z","title_canon_sha256":"35c0d140e06a3c07df373fe4ec372c17ccc3cbb7e6cabbfbe710f8fd86c8a7ae"},"schema_version":"1.0","source":{"id":"1507.08333","kind":"arxiv","version":2}},"canonical_sha256":"31de4a14d1bb672fb4752bd1590bc4f4b7a0de5b1eeec76bbc36fe95a590eec1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31de4a14d1bb672fb4752bd1590bc4f4b7a0de5b1eeec76bbc36fe95a590eec1","first_computed_at":"2026-05-18T01:35:06.554020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:06.554020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"krMMKaA3x+w3ykhtv+Nf7pRtaoSBA/ku6pqbZP4FDP+mSczO8JDDcGZ5JXuY9wtLlEnI1kSgwHLEhESxl7xcCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:06.554507Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.08333","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46dd7d8237c7eacfa78c3b4250a4239f53c94c786eff5c5968435ff7a04e61fd","sha256:3ef9ea2ed6de71ebfb69e22aaeebcd301884495e50ef1c2153c47f83a7510ae6"],"state_sha256":"4de257a52a63501b9d327a91cfd1ab779b872c77a8fcaed780e98ceb28a02d84"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4HpAjoV4k3FaPftlc8/8sHIZIXmyOVkQ89s3h9mamcPHZjHUOrk971lDkv5GLPNuVJYixPXkDqak9GwqY+sMDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T06:40:36.649306Z","bundle_sha256":"d2fc456095d6b8d637b26e8a63e61247af9e195da5f2e481ae299bee5d41ed70"}}