{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:TUK2Q7OIG5UD45GQRXXRXS3LUG","short_pith_number":"pith:TUK2Q7OI","canonical_record":{"source":{"id":"1802.06483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-02-19T01:44:35Z","cross_cats_sorted":[],"title_canon_sha256":"f9012358ca3f1d544c17e961390bb19d0fa99fbdd51e9a6645b32045b3838039","abstract_canon_sha256":"80da62bfbc22f5a2555b63600d912596024bfc8f3647baefe404f377efab6610"},"schema_version":"1.0"},"canonical_sha256":"9d15a87dc837683e74d08def1bcb6ba1b3713e9133ba6062e3643222b526ab3d","source":{"kind":"arxiv","id":"1802.06483","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.06483","created_at":"2026-05-18T00:23:03Z"},{"alias_kind":"arxiv_version","alias_value":"1802.06483v1","created_at":"2026-05-18T00:23:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.06483","created_at":"2026-05-18T00:23:03Z"},{"alias_kind":"pith_short_12","alias_value":"TUK2Q7OIG5UD","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"TUK2Q7OIG5UD45GQ","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"TUK2Q7OI","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:TUK2Q7OIG5UD45GQRXXRXS3LUG","target":"record","payload":{"canonical_record":{"source":{"id":"1802.06483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-02-19T01:44:35Z","cross_cats_sorted":[],"title_canon_sha256":"f9012358ca3f1d544c17e961390bb19d0fa99fbdd51e9a6645b32045b3838039","abstract_canon_sha256":"80da62bfbc22f5a2555b63600d912596024bfc8f3647baefe404f377efab6610"},"schema_version":"1.0"},"canonical_sha256":"9d15a87dc837683e74d08def1bcb6ba1b3713e9133ba6062e3643222b526ab3d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:03.150722Z","signature_b64":"cFwy66jYlvkrucUhD8P+Ihku6kmgXe/u+z081AtIaOBi5tqgcrylewkG5Ib4JIlzsQjiq0eSGifLFaARfpuPCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d15a87dc837683e74d08def1bcb6ba1b3713e9133ba6062e3643222b526ab3d","last_reissued_at":"2026-05-18T00:23:03.150094Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:03.150094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.06483","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":"2026-05-18T00:23:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bMcOCG7Bc1463kLpH8f1DCwPPOEAXExXFuSEwubA+EyAc0rDqqTRhWlK/PnPkIDkP2G7V2W3WfrlxItov5gQCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:13:26.067796Z"},"content_sha256":"0159ea2a6618f7d1d4b54eb6221aa0ab0cb38b336f8418c54002accd3982b0cf","schema_version":"1.0","event_id":"sha256:0159ea2a6618f7d1d4b54eb6221aa0ab0cb38b336f8418c54002accd3982b0cf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:TUK2Q7OIG5UD45GQRXXRXS3LUG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Committee Scoring Rules: Axiomatic Characterization and Hierarchy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Arkadii Slinko, Nimrod Talmon, Piotr Faliszewski, Piotr Skowron","submitted_at":"2018-02-19T01:44:35Z","abstract_excerpt":"Committee scoring voting rules are multiwinner analogues of positional scoring rules which constitute an important subclass of single-winner voting rules. We identify several natural subclasses of committee scoring rules, namely, weakly separable, representation-focused, top-$k$-counting, OWA-based, and decomposable rules. We characterize SNTV, Bloc, and $k$-Approval Chamberlin--Courant as the only nontrivial rules in pairwise intersections of these classes. We provide some axiomatic characterizations for these classes, where monotonicity properties appear to be especially useful. The class of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.06483","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":"2026-05-18T00:23:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C3ShSSSZv8/xu0QI9yiC8cQLZI2qrUdvQ0+ElCZrjIe/c9yuWseTZ8njkQdReI3nr14DJfZigM49bQPaSOooBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:13:26.068139Z"},"content_sha256":"09e66755c3ee43ffdc6e7eedc0c9f0d493227b2a375649c8440b1db4d3afcfb5","schema_version":"1.0","event_id":"sha256:09e66755c3ee43ffdc6e7eedc0c9f0d493227b2a375649c8440b1db4d3afcfb5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TUK2Q7OIG5UD45GQRXXRXS3LUG/bundle.json","state_url":"https://pith.science/pith/TUK2Q7OIG5UD45GQRXXRXS3LUG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TUK2Q7OIG5UD45GQRXXRXS3LUG/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":"2026-06-02T03:13:26Z","links":{"resolver":"https://pith.science/pith/TUK2Q7OIG5UD45GQRXXRXS3LUG","bundle":"https://pith.science/pith/TUK2Q7OIG5UD45GQRXXRXS3LUG/bundle.json","state":"https://pith.science/pith/TUK2Q7OIG5UD45GQRXXRXS3LUG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TUK2Q7OIG5UD45GQRXXRXS3LUG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TUK2Q7OIG5UD45GQRXXRXS3LUG","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":"80da62bfbc22f5a2555b63600d912596024bfc8f3647baefe404f377efab6610","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-02-19T01:44:35Z","title_canon_sha256":"f9012358ca3f1d544c17e961390bb19d0fa99fbdd51e9a6645b32045b3838039"},"schema_version":"1.0","source":{"id":"1802.06483","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.06483","created_at":"2026-05-18T00:23:03Z"},{"alias_kind":"arxiv_version","alias_value":"1802.06483v1","created_at":"2026-05-18T00:23:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.06483","created_at":"2026-05-18T00:23:03Z"},{"alias_kind":"pith_short_12","alias_value":"TUK2Q7OIG5UD","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"TUK2Q7OIG5UD45GQ","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"TUK2Q7OI","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:09e66755c3ee43ffdc6e7eedc0c9f0d493227b2a375649c8440b1db4d3afcfb5","target":"graph","created_at":"2026-05-18T00:23:03Z","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":"Committee scoring voting rules are multiwinner analogues of positional scoring rules which constitute an important subclass of single-winner voting rules. We identify several natural subclasses of committee scoring rules, namely, weakly separable, representation-focused, top-$k$-counting, OWA-based, and decomposable rules. We characterize SNTV, Bloc, and $k$-Approval Chamberlin--Courant as the only nontrivial rules in pairwise intersections of these classes. We provide some axiomatic characterizations for these classes, where monotonicity properties appear to be especially useful. The class of","authors_text":"Arkadii Slinko, Nimrod Talmon, Piotr Faliszewski, Piotr Skowron","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-02-19T01:44:35Z","title":"Committee Scoring Rules: Axiomatic Characterization and Hierarchy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.06483","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":"sha256:0159ea2a6618f7d1d4b54eb6221aa0ab0cb38b336f8418c54002accd3982b0cf","target":"record","created_at":"2026-05-18T00:23:03Z","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":"80da62bfbc22f5a2555b63600d912596024bfc8f3647baefe404f377efab6610","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-02-19T01:44:35Z","title_canon_sha256":"f9012358ca3f1d544c17e961390bb19d0fa99fbdd51e9a6645b32045b3838039"},"schema_version":"1.0","source":{"id":"1802.06483","kind":"arxiv","version":1}},"canonical_sha256":"9d15a87dc837683e74d08def1bcb6ba1b3713e9133ba6062e3643222b526ab3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d15a87dc837683e74d08def1bcb6ba1b3713e9133ba6062e3643222b526ab3d","first_computed_at":"2026-05-18T00:23:03.150094Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:03.150094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cFwy66jYlvkrucUhD8P+Ihku6kmgXe/u+z081AtIaOBi5tqgcrylewkG5Ib4JIlzsQjiq0eSGifLFaARfpuPCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:03.150722Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.06483","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0159ea2a6618f7d1d4b54eb6221aa0ab0cb38b336f8418c54002accd3982b0cf","sha256:09e66755c3ee43ffdc6e7eedc0c9f0d493227b2a375649c8440b1db4d3afcfb5"],"state_sha256":"8e2f4ac9de7b759818ea71030bef77357bb1603b6a70c04fa3d43cb259869ee5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AIaCpR/EsA0L/hsTsK7/K+m/CiYCF361ddQQJc5FyiyPtGlEYnOYym5e/igIwumeaMdPFCsFMMjDz09KtuOCCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:13:26.070141Z","bundle_sha256":"eb46eeea32df0081ad0b16b2d259a48837462fcd596ebd337c9823c65d6d8021"}}