{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:BF5Q3ISKCUOX5ASQOOCWD2MJ2F","short_pith_number":"pith:BF5Q3ISK","canonical_record":{"source":{"id":"2406.00913","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2024-06-03T00:45:01Z","cross_cats_sorted":[],"title_canon_sha256":"fc3439a0c287bd0e42c9da6512769d42eaf8cb0f99de7045d9ea3d83772c3d66","abstract_canon_sha256":"71233e4e26bdd59bb13a756013bacbfdea7a0da272bf42dea36c82fd55fe0242"},"schema_version":"1.0"},"canonical_sha256":"097b0da24a151d7e8250738561e989d1513a48f0f9f931ed8486125c7bff272e","source":{"kind":"arxiv","id":"2406.00913","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00913","created_at":"2026-07-05T08:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00913v1","created_at":"2026-07-05T08:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00913","created_at":"2026-07-05T08:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"BF5Q3ISKCUOX","created_at":"2026-07-05T08:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"BF5Q3ISKCUOX5ASQ","created_at":"2026-07-05T08:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"BF5Q3ISK","created_at":"2026-07-05T08:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:BF5Q3ISKCUOX5ASQOOCWD2MJ2F","target":"record","payload":{"canonical_record":{"source":{"id":"2406.00913","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2024-06-03T00:45:01Z","cross_cats_sorted":[],"title_canon_sha256":"fc3439a0c287bd0e42c9da6512769d42eaf8cb0f99de7045d9ea3d83772c3d66","abstract_canon_sha256":"71233e4e26bdd59bb13a756013bacbfdea7a0da272bf42dea36c82fd55fe0242"},"schema_version":"1.0"},"canonical_sha256":"097b0da24a151d7e8250738561e989d1513a48f0f9f931ed8486125c7bff272e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:26:32.494211Z","signature_b64":"72c/mLrG4ssLXi5x7FgRwBz+E1+0YkqQaure6SAvOjRZnbWIZipJq7Z1EJbVyXRhaZ64ZQ6f8TBlHSD6lyV3Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"097b0da24a151d7e8250738561e989d1513a48f0f9f931ed8486125c7bff272e","last_reissued_at":"2026-07-05T08:26:32.493799Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:26:32.493799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.00913","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":"2026-07-05T08:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nqWfaelKI8CoaIBgb1JCNF+Soe0q6ime2ZiwZR5gmD/WMPg+Vf3SvxcTODfuYOjywqdVht8hV33aaWvEQOwDAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T21:03:08.013190Z"},"content_sha256":"1c43931e0aacff2a15900ae8236bd2950c96cb4e8f916f1fd52f0628526cc223","schema_version":"1.0","event_id":"sha256:1c43931e0aacff2a15900ae8236bd2950c96cb4e8f916f1fd52f0628526cc223"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:BF5Q3ISKCUOX5ASQOOCWD2MJ2F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boosting Sortition via Proportional Representation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Evi Micha, Soroush Ebadian","submitted_at":"2024-06-03T00:45:01Z","abstract_excerpt":"Sortition is based on the idea of choosing randomly selected representatives for decision making. The main properties that make sortition particularly appealing are fairness -- all the citizens can be selected with the same probability -- and proportional representation -- a randomly selected panel probably reflects the composition of the whole population. When a population lies on a representation metric, we formally define proportional representation by using a notion called the core. A panel is in the core if no group of individuals is underrepresented proportional to its size. While unifor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00913","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/2406.00913/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":"2026-07-05T08:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tEcD8n3ozB9iTPBVKKpFdEi7FnlAyviHrNwdsYxNDIyz3cYj+PES8sNkxkP28oS4/QSFmOjGbt3MpS/9gB4UCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T21:03:08.014108Z"},"content_sha256":"4e6b2c892eaaca9300adc38a812798c1b649403e62d2f72e6d436228c3603e5e","schema_version":"1.0","event_id":"sha256:4e6b2c892eaaca9300adc38a812798c1b649403e62d2f72e6d436228c3603e5e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BF5Q3ISKCUOX5ASQOOCWD2MJ2F/bundle.json","state_url":"https://pith.science/pith/BF5Q3ISKCUOX5ASQOOCWD2MJ2F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BF5Q3ISKCUOX5ASQOOCWD2MJ2F/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":"2026-08-17T21:03:08Z","links":{"resolver":"https://pith.science/pith/BF5Q3ISKCUOX5ASQOOCWD2MJ2F","bundle":"https://pith.science/pith/BF5Q3ISKCUOX5ASQOOCWD2MJ2F/bundle.json","state":"https://pith.science/pith/BF5Q3ISKCUOX5ASQOOCWD2MJ2F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BF5Q3ISKCUOX5ASQOOCWD2MJ2F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:BF5Q3ISKCUOX5ASQOOCWD2MJ2F","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":"71233e4e26bdd59bb13a756013bacbfdea7a0da272bf42dea36c82fd55fe0242","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2024-06-03T00:45:01Z","title_canon_sha256":"fc3439a0c287bd0e42c9da6512769d42eaf8cb0f99de7045d9ea3d83772c3d66"},"schema_version":"1.0","source":{"id":"2406.00913","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00913","created_at":"2026-07-05T08:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00913v1","created_at":"2026-07-05T08:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00913","created_at":"2026-07-05T08:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"BF5Q3ISKCUOX","created_at":"2026-07-05T08:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"BF5Q3ISKCUOX5ASQ","created_at":"2026-07-05T08:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"BF5Q3ISK","created_at":"2026-07-05T08:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:4e6b2c892eaaca9300adc38a812798c1b649403e62d2f72e6d436228c3603e5e","target":"graph","created_at":"2026-07-05T08:26:32Z","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/2406.00913/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Sortition is based on the idea of choosing randomly selected representatives for decision making. The main properties that make sortition particularly appealing are fairness -- all the citizens can be selected with the same probability -- and proportional representation -- a randomly selected panel probably reflects the composition of the whole population. When a population lies on a representation metric, we formally define proportional representation by using a notion called the core. A panel is in the core if no group of individuals is underrepresented proportional to its size. While unifor","authors_text":"Evi Micha, Soroush Ebadian","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2024-06-03T00:45:01Z","title":"Boosting Sortition via Proportional Representation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00913","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":"sha256:1c43931e0aacff2a15900ae8236bd2950c96cb4e8f916f1fd52f0628526cc223","target":"record","created_at":"2026-07-05T08:26:32Z","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":"71233e4e26bdd59bb13a756013bacbfdea7a0da272bf42dea36c82fd55fe0242","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2024-06-03T00:45:01Z","title_canon_sha256":"fc3439a0c287bd0e42c9da6512769d42eaf8cb0f99de7045d9ea3d83772c3d66"},"schema_version":"1.0","source":{"id":"2406.00913","kind":"arxiv","version":1}},"canonical_sha256":"097b0da24a151d7e8250738561e989d1513a48f0f9f931ed8486125c7bff272e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"097b0da24a151d7e8250738561e989d1513a48f0f9f931ed8486125c7bff272e","first_computed_at":"2026-07-05T08:26:32.493799Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:26:32.493799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"72c/mLrG4ssLXi5x7FgRwBz+E1+0YkqQaure6SAvOjRZnbWIZipJq7Z1EJbVyXRhaZ64ZQ6f8TBlHSD6lyV3Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:26:32.494211Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.00913","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c43931e0aacff2a15900ae8236bd2950c96cb4e8f916f1fd52f0628526cc223","sha256:4e6b2c892eaaca9300adc38a812798c1b649403e62d2f72e6d436228c3603e5e"],"state_sha256":"6917d0a53599c2b61e0e165517be54aa1c79bf0154a4b7dd6c3ee1272733313f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q7E3P4b69IksjHyBqIpAJ2oyzDH9RpJLTdto4vpAQsRG4XQqdYOncKt1raEkNF7h1c5dfsQrwAuUH4RiejVTAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T21:03:08.064989Z","bundle_sha256":"3b401640ce2981080d3fb49fe57b34f86cd9901203659adefdf577d5483e34a9"}}