{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:IG4YRTNGNXAVLX626GKN7A6L2M","short_pith_number":"pith:IG4YRTNG","schema_version":"1.0","canonical_sha256":"41b988cda66dc155dfdaf194df83cbd3295db3981d450b04a9f514a6a5ee1e73","source":{"kind":"arxiv","id":"2602.05155","version":3},"attestation_state":"computed","paper":{"title":"Optimal Risk-Sharing Rules in Network-based Decentralized Insurance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","q-fin.RM"],"primary_cat":"math.OC","authors_text":"Enrique A. Thomann, Heather N. Fogarty, Nicholas F. Marshall, Sooie-Hoe Loke","submitted_at":"2026-02-05T00:16:46Z","abstract_excerpt":"This paper studies decentralized risk-sharing on networks. In particular, we consider a model where agents are nodes in a given network structure. Agents directly connected by edges in the network are referred to as friends. We study actuarially fair risk-sharing under the assumption that only friends can share risk, and we characterize the optimal signed linear risk-sharing rule in this network setting. Subsequently, we consider a special case of this model where all the friends of an agent take on an equal share of the agent's risk, and establish a connection to the graph Laplacian. Our resu"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2602.05155","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-02-05T00:16:46Z","cross_cats_sorted":["math.PR","q-fin.RM"],"title_canon_sha256":"7b280a687778cf6de7c72127c85d0b51a3407464e02bcb3f4c4b81130a6e7b7d","abstract_canon_sha256":"2973bf286e857447b6a4442058a0fdce1bf89caedb1e1b3318b568ef21aca03e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-14T01:19:58.837786Z","signature_b64":"AoEpsuVdl+c/EH0JsarNuOouP3XMvTlt3l2PWjLNOW4G4TLFQLR50oc+RvMQdqP7X6/Oh1aHbQJ1E1Xt6Gn8Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41b988cda66dc155dfdaf194df83cbd3295db3981d450b04a9f514a6a5ee1e73","last_reissued_at":"2026-07-14T01:19:58.836740Z","signature_status":"signed_v1","first_computed_at":"2026-07-14T01:19:58.836740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal Risk-Sharing Rules in Network-based Decentralized Insurance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","q-fin.RM"],"primary_cat":"math.OC","authors_text":"Enrique A. Thomann, Heather N. Fogarty, Nicholas F. Marshall, Sooie-Hoe Loke","submitted_at":"2026-02-05T00:16:46Z","abstract_excerpt":"This paper studies decentralized risk-sharing on networks. In particular, we consider a model where agents are nodes in a given network structure. Agents directly connected by edges in the network are referred to as friends. We study actuarially fair risk-sharing under the assumption that only friends can share risk, and we characterize the optimal signed linear risk-sharing rule in this network setting. Subsequently, we consider a special case of this model where all the friends of an agent take on an equal share of the agent's risk, and establish a connection to the graph Laplacian. Our resu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.05155","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/2602.05155/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2602.05155","created_at":"2026-07-14T01:19:58.837208+00:00"},{"alias_kind":"arxiv_version","alias_value":"2602.05155v3","created_at":"2026-07-14T01:19:58.837208+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.05155","created_at":"2026-07-14T01:19:58.837208+00:00"},{"alias_kind":"pith_short_12","alias_value":"IG4YRTNGNXAV","created_at":"2026-07-14T01:19:58.837208+00:00"},{"alias_kind":"pith_short_16","alias_value":"IG4YRTNGNXAVLX62","created_at":"2026-07-14T01:19:58.837208+00:00"},{"alias_kind":"pith_short_8","alias_value":"IG4YRTNG","created_at":"2026-07-14T01:19:58.837208+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IG4YRTNGNXAVLX626GKN7A6L2M","json":"https://pith.science/pith/IG4YRTNGNXAVLX626GKN7A6L2M.json","graph_json":"https://pith.science/api/pith-number/IG4YRTNGNXAVLX626GKN7A6L2M/graph.json","events_json":"https://pith.science/api/pith-number/IG4YRTNGNXAVLX626GKN7A6L2M/events.json","paper":"https://pith.science/paper/IG4YRTNG"},"agent_actions":{"view_html":"https://pith.science/pith/IG4YRTNGNXAVLX626GKN7A6L2M","download_json":"https://pith.science/pith/IG4YRTNGNXAVLX626GKN7A6L2M.json","view_paper":"https://pith.science/paper/IG4YRTNG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2602.05155&json=true","fetch_graph":"https://pith.science/api/pith-number/IG4YRTNGNXAVLX626GKN7A6L2M/graph.json","fetch_events":"https://pith.science/api/pith-number/IG4YRTNGNXAVLX626GKN7A6L2M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IG4YRTNGNXAVLX626GKN7A6L2M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IG4YRTNGNXAVLX626GKN7A6L2M/action/storage_attestation","attest_author":"https://pith.science/pith/IG4YRTNGNXAVLX626GKN7A6L2M/action/author_attestation","sign_citation":"https://pith.science/pith/IG4YRTNGNXAVLX626GKN7A6L2M/action/citation_signature","submit_replication":"https://pith.science/pith/IG4YRTNGNXAVLX626GKN7A6L2M/action/replication_record"}},"created_at":"2026-07-14T01:19:58.837208+00:00","updated_at":"2026-07-14T01:19:58.837208+00:00"}