{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:TNADP7DSD5CQRGY25NJ7O5W6CA","short_pith_number":"pith:TNADP7DS","canonical_record":{"source":{"id":"physics/0603271","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.soc-ph","submitted_at":"2006-03-31T18:40:28Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"c2127c45f452d197e9cf820ad022ff4a32de69647fea665cea8ea05da0efaa4a","abstract_canon_sha256":"3a44ce9979df35a1f937659f1539c2ab29e01bf12aa072da4e9904b265900468"},"schema_version":"1.0"},"canonical_sha256":"9b4037fc721f45089b1aeb53f776de10370cb216a7f39deefe06817d71ad79b7","source":{"kind":"arxiv","id":"physics/0603271","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0603271","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0603271v1","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0603271","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"TNADP7DSD5CQ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"TNADP7DSD5CQRGY2","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"TNADP7DS","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:TNADP7DSD5CQRGY25NJ7O5W6CA","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0603271","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.soc-ph","submitted_at":"2006-03-31T18:40:28Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"c2127c45f452d197e9cf820ad022ff4a32de69647fea665cea8ea05da0efaa4a","abstract_canon_sha256":"3a44ce9979df35a1f937659f1539c2ab29e01bf12aa072da4e9904b265900468"},"schema_version":"1.0"},"canonical_sha256":"9b4037fc721f45089b1aeb53f776de10370cb216a7f39deefe06817d71ad79b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:07.119036Z","signature_b64":"6NZMxZRPU3MUQzKshB20lRVEGfKah27+rn88tKY9vS+aQ3lISID12s4JmvNmNCKoIuTJKLF8fgCFlOyaqNHJBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b4037fc721f45089b1aeb53f776de10370cb216a7f39deefe06817d71ad79b7","last_reissued_at":"2026-05-18T01:38:07.118516Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:07.118516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0603271","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":"2026-05-18T01:38:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4oZydOCS1C49kmLoKo9NeDGz7OfTxdTpBgdQRJy30XH7XWZ5DOGNdJnZieTJiLUTwC2WlZf5t2yRH0Up7Ue2BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:12:28.863217Z"},"content_sha256":"fdff59dee9061f85ece74973d5f6ec2b0a0371a6e8b5b294bf69dc2974e167ba","schema_version":"1.0","event_id":"sha256:fdff59dee9061f85ece74973d5f6ec2b0a0371a6e8b5b294bf69dc2974e167ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:TNADP7DSD5CQRGY25NJ7O5W6CA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Plurality Voting: the statistical laws of democracy in Brazil","license":"","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"physics.soc-ph","authors_text":"Hans J. Herrmann, Jose S. Andrade Jr, Luis E. Araripe, Raimundo N. Costa Filho","submitted_at":"2006-03-31T18:40:28Z","abstract_excerpt":"We explore the statistical laws behind the plurality voting system by investigating the election results for mayor held in Brazil in 2004. Our analysis indicate that the vote partition among mayor candidates of the same city tends to be \"polarized\" between two candidates, a phenomenon that can be closely described by means of a simple fragmentation model. Complex concepts like \"government continuity\" and \"useful vote\" can be identified and even statistically quantified through our approach."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0603271","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":"2026-05-18T01:38:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j6e5PJHe9nGuctTTIXmgPbeAVMb2xrpJ+nByZsBwh26AMyKMjG+zBya+LnCKRF1e0+zWTR2D0/pfPSdxhkAlDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:12:28.863824Z"},"content_sha256":"87866259a1bbb671dc3790927e88209da750711276cbda3627507da063dd87bf","schema_version":"1.0","event_id":"sha256:87866259a1bbb671dc3790927e88209da750711276cbda3627507da063dd87bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TNADP7DSD5CQRGY25NJ7O5W6CA/bundle.json","state_url":"https://pith.science/pith/TNADP7DSD5CQRGY25NJ7O5W6CA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TNADP7DSD5CQRGY25NJ7O5W6CA/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":"2026-05-28T04:12:28Z","links":{"resolver":"https://pith.science/pith/TNADP7DSD5CQRGY25NJ7O5W6CA","bundle":"https://pith.science/pith/TNADP7DSD5CQRGY25NJ7O5W6CA/bundle.json","state":"https://pith.science/pith/TNADP7DSD5CQRGY25NJ7O5W6CA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TNADP7DSD5CQRGY25NJ7O5W6CA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:TNADP7DSD5CQRGY25NJ7O5W6CA","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":"3a44ce9979df35a1f937659f1539c2ab29e01bf12aa072da4e9904b265900468","cross_cats_sorted":["physics.comp-ph"],"license":"","primary_cat":"physics.soc-ph","submitted_at":"2006-03-31T18:40:28Z","title_canon_sha256":"c2127c45f452d197e9cf820ad022ff4a32de69647fea665cea8ea05da0efaa4a"},"schema_version":"1.0","source":{"id":"physics/0603271","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0603271","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0603271v1","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0603271","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"TNADP7DSD5CQ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"TNADP7DSD5CQRGY2","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"TNADP7DS","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:87866259a1bbb671dc3790927e88209da750711276cbda3627507da063dd87bf","target":"graph","created_at":"2026-05-18T01:38:07Z","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 explore the statistical laws behind the plurality voting system by investigating the election results for mayor held in Brazil in 2004. Our analysis indicate that the vote partition among mayor candidates of the same city tends to be \"polarized\" between two candidates, a phenomenon that can be closely described by means of a simple fragmentation model. Complex concepts like \"government continuity\" and \"useful vote\" can be identified and even statistically quantified through our approach.","authors_text":"Hans J. Herrmann, Jose S. Andrade Jr, Luis E. Araripe, Raimundo N. Costa Filho","cross_cats":["physics.comp-ph"],"headline":"","license":"","primary_cat":"physics.soc-ph","submitted_at":"2006-03-31T18:40:28Z","title":"Plurality Voting: the statistical laws of democracy in Brazil"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0603271","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:fdff59dee9061f85ece74973d5f6ec2b0a0371a6e8b5b294bf69dc2974e167ba","target":"record","created_at":"2026-05-18T01:38:07Z","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":"3a44ce9979df35a1f937659f1539c2ab29e01bf12aa072da4e9904b265900468","cross_cats_sorted":["physics.comp-ph"],"license":"","primary_cat":"physics.soc-ph","submitted_at":"2006-03-31T18:40:28Z","title_canon_sha256":"c2127c45f452d197e9cf820ad022ff4a32de69647fea665cea8ea05da0efaa4a"},"schema_version":"1.0","source":{"id":"physics/0603271","kind":"arxiv","version":1}},"canonical_sha256":"9b4037fc721f45089b1aeb53f776de10370cb216a7f39deefe06817d71ad79b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b4037fc721f45089b1aeb53f776de10370cb216a7f39deefe06817d71ad79b7","first_computed_at":"2026-05-18T01:38:07.118516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:07.118516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6NZMxZRPU3MUQzKshB20lRVEGfKah27+rn88tKY9vS+aQ3lISID12s4JmvNmNCKoIuTJKLF8fgCFlOyaqNHJBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:07.119036Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0603271","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdff59dee9061f85ece74973d5f6ec2b0a0371a6e8b5b294bf69dc2974e167ba","sha256:87866259a1bbb671dc3790927e88209da750711276cbda3627507da063dd87bf"],"state_sha256":"c9910c72c83ae709f1f050c73d829b51411e3e2d1ae290a2b4ac32a0af9b67a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ciOPY/Fu+K8DYuLBCcjP7rASzXc7d5Plox6UaLzaAi10xIctuqoYGSlNFJOWtH5Y2lQvf13LX4e4FvcjYEJNAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T04:12:28.867045Z","bundle_sha256":"6d34e225294c3e3881e4ebda43e3bf0bd740444f828e5906a81f1889336d97a4"}}