{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:PDUX6AIYA7TX5HWHRPTX4C3YWI","short_pith_number":"pith:PDUX6AIY","canonical_record":{"source":{"id":"2606.30779","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2026-06-29T18:08:15Z","cross_cats_sorted":["q-fin.RM"],"title_canon_sha256":"4f907b8b36dcca78e11ee0b5ca7e086179d4d98b8093a03c87a248991ab0b0fa","abstract_canon_sha256":"f68af0aaf4e867adf781a9ee56194e31b2ba4cc25c5f5d8a6667b7dfc695c9da"},"schema_version":"1.0"},"canonical_sha256":"78e97f011807e77e9ec78be77e0b78b227ac705d22b2739568553b95e67c6fa3","source":{"kind":"arxiv","id":"2606.30779","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.30779","created_at":"2026-07-01T00:17:16Z"},{"alias_kind":"arxiv_version","alias_value":"2606.30779v1","created_at":"2026-07-01T00:17:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.30779","created_at":"2026-07-01T00:17:16Z"},{"alias_kind":"pith_short_12","alias_value":"PDUX6AIYA7TX","created_at":"2026-07-01T00:17:16Z"},{"alias_kind":"pith_short_16","alias_value":"PDUX6AIYA7TX5HWH","created_at":"2026-07-01T00:17:16Z"},{"alias_kind":"pith_short_8","alias_value":"PDUX6AIY","created_at":"2026-07-01T00:17:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:PDUX6AIYA7TX5HWHRPTX4C3YWI","target":"record","payload":{"canonical_record":{"source":{"id":"2606.30779","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2026-06-29T18:08:15Z","cross_cats_sorted":["q-fin.RM"],"title_canon_sha256":"4f907b8b36dcca78e11ee0b5ca7e086179d4d98b8093a03c87a248991ab0b0fa","abstract_canon_sha256":"f68af0aaf4e867adf781a9ee56194e31b2ba4cc25c5f5d8a6667b7dfc695c9da"},"schema_version":"1.0"},"canonical_sha256":"78e97f011807e77e9ec78be77e0b78b227ac705d22b2739568553b95e67c6fa3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-01T00:17:16.692604Z","signature_b64":"IMdoWK+AcFCsxdI8yg0JPPW2i5NUWYHXRueMHPTNqUNJAlcMxT2F6rRgeRuSgY1/GJ44/YsQKKhfHmB1kyXvAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78e97f011807e77e9ec78be77e0b78b227ac705d22b2739568553b95e67c6fa3","last_reissued_at":"2026-07-01T00:17:16.692073Z","signature_status":"signed_v1","first_computed_at":"2026-07-01T00:17:16.692073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.30779","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":"2026-07-01T00:17:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rx4CVqOaWSFFezc7d9tj9WBkm3ow/b+j42G4xBOrrHNqLoad8omJqbdu3XgEBSfLA9elltBlWtRj4LsvAm3lBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T08:14:33.101581Z"},"content_sha256":"ff15f8f609611d11a7a541809f5ac37ee6ae31fda9dd0756cd4af56e95fc7837","schema_version":"1.0","event_id":"sha256:ff15f8f609611d11a7a541809f5ac37ee6ae31fda9dd0756cd4af56e95fc7837"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:PDUX6AIYA7TX5HWHRPTX4C3YWI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pareto Efficient Insurance with Multiple Policyholders, Multiple Insurers, and Multiple Indemnity Environments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.RM"],"primary_cat":"econ.TH","authors_text":"Zijun Meng","submitted_at":"2026-06-29T18:08:15Z","abstract_excerpt":"This paper proves a sum-minimization characterization of Pareto efficient insurance with multiple policyholders, multiple insurers, and multiple indemnity environments. We also provide a result regarding the pairwise implementability of the policyholder- and insurer-aggregate level arrangements in the multiple policyholders and multiple insurers setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30779","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.30779/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-01T00:17:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y4jcfvU1+F30pUzcJKVJCb5B0PnAZk51b2F4bCt5toWCickPQl6G56PCJZP32obXC3du7u3LpWoa/KlX9Ap5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T08:14:33.101952Z"},"content_sha256":"59db2710bffa32d0bea4e3c897f02b223f40c6bfb3fe44bb278935e48d27a954","schema_version":"1.0","event_id":"sha256:59db2710bffa32d0bea4e3c897f02b223f40c6bfb3fe44bb278935e48d27a954"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PDUX6AIYA7TX5HWHRPTX4C3YWI/bundle.json","state_url":"https://pith.science/pith/PDUX6AIYA7TX5HWHRPTX4C3YWI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PDUX6AIYA7TX5HWHRPTX4C3YWI/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":"2026-07-07T08:14:33Z","links":{"resolver":"https://pith.science/pith/PDUX6AIYA7TX5HWHRPTX4C3YWI","bundle":"https://pith.science/pith/PDUX6AIYA7TX5HWHRPTX4C3YWI/bundle.json","state":"https://pith.science/pith/PDUX6AIYA7TX5HWHRPTX4C3YWI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PDUX6AIYA7TX5HWHRPTX4C3YWI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PDUX6AIYA7TX5HWHRPTX4C3YWI","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":"f68af0aaf4e867adf781a9ee56194e31b2ba4cc25c5f5d8a6667b7dfc695c9da","cross_cats_sorted":["q-fin.RM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2026-06-29T18:08:15Z","title_canon_sha256":"4f907b8b36dcca78e11ee0b5ca7e086179d4d98b8093a03c87a248991ab0b0fa"},"schema_version":"1.0","source":{"id":"2606.30779","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.30779","created_at":"2026-07-01T00:17:16Z"},{"alias_kind":"arxiv_version","alias_value":"2606.30779v1","created_at":"2026-07-01T00:17:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.30779","created_at":"2026-07-01T00:17:16Z"},{"alias_kind":"pith_short_12","alias_value":"PDUX6AIYA7TX","created_at":"2026-07-01T00:17:16Z"},{"alias_kind":"pith_short_16","alias_value":"PDUX6AIYA7TX5HWH","created_at":"2026-07-01T00:17:16Z"},{"alias_kind":"pith_short_8","alias_value":"PDUX6AIY","created_at":"2026-07-01T00:17:16Z"}],"graph_snapshots":[{"event_id":"sha256:59db2710bffa32d0bea4e3c897f02b223f40c6bfb3fe44bb278935e48d27a954","target":"graph","created_at":"2026-07-01T00:17:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.30779/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper proves a sum-minimization characterization of Pareto efficient insurance with multiple policyholders, multiple insurers, and multiple indemnity environments. We also provide a result regarding the pairwise implementability of the policyholder- and insurer-aggregate level arrangements in the multiple policyholders and multiple insurers setting.","authors_text":"Zijun Meng","cross_cats":["q-fin.RM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2026-06-29T18:08:15Z","title":"Pareto Efficient Insurance with Multiple Policyholders, Multiple Insurers, and Multiple Indemnity Environments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30779","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:ff15f8f609611d11a7a541809f5ac37ee6ae31fda9dd0756cd4af56e95fc7837","target":"record","created_at":"2026-07-01T00:17:16Z","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":"f68af0aaf4e867adf781a9ee56194e31b2ba4cc25c5f5d8a6667b7dfc695c9da","cross_cats_sorted":["q-fin.RM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2026-06-29T18:08:15Z","title_canon_sha256":"4f907b8b36dcca78e11ee0b5ca7e086179d4d98b8093a03c87a248991ab0b0fa"},"schema_version":"1.0","source":{"id":"2606.30779","kind":"arxiv","version":1}},"canonical_sha256":"78e97f011807e77e9ec78be77e0b78b227ac705d22b2739568553b95e67c6fa3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78e97f011807e77e9ec78be77e0b78b227ac705d22b2739568553b95e67c6fa3","first_computed_at":"2026-07-01T00:17:16.692073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-01T00:17:16.692073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IMdoWK+AcFCsxdI8yg0JPPW2i5NUWYHXRueMHPTNqUNJAlcMxT2F6rRgeRuSgY1/GJ44/YsQKKhfHmB1kyXvAw==","signature_status":"signed_v1","signed_at":"2026-07-01T00:17:16.692604Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.30779","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff15f8f609611d11a7a541809f5ac37ee6ae31fda9dd0756cd4af56e95fc7837","sha256:59db2710bffa32d0bea4e3c897f02b223f40c6bfb3fe44bb278935e48d27a954"],"state_sha256":"e07f5f4bf09dfd68598f94297114f1c8e4b9abdd0392ed893d1661ffd09b5d45"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oopBkRGy4dTye0LR9zg1e9seTKqS2bOR3m2SbHKcPxYaES/ot1VBYFadlnEX9pdbjkgWiPMhh2FfPoBXzUylDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T08:14:33.103959Z","bundle_sha256":"147d7190e61109f94b8aa790108c717c54a39aec67848573b0b6cfa08e083df7"}}