{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ZEFEBX4BORDVRSJDSTTOY26E5B","short_pith_number":"pith:ZEFEBX4B","canonical_record":{"source":{"id":"1505.00566","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-05-04T09:25:42Z","cross_cats_sorted":["cs.MA"],"title_canon_sha256":"930c15d9749505eecaf49d2bfe9892fc733349643bb7ba1a67de292db42e274b","abstract_canon_sha256":"70ba2433928cafa13e9bf47aac5064ad2bafa28b4df7d0dc4717e097165ecffd"},"schema_version":"1.0"},"canonical_sha256":"c90a40df81744758c92394e6ec6bc4e87eca0091d0caa09ec3806efe9f1c9c33","source":{"kind":"arxiv","id":"1505.00566","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00566","created_at":"2026-05-18T02:17:02Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00566v1","created_at":"2026-05-18T02:17:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00566","created_at":"2026-05-18T02:17:02Z"},{"alias_kind":"pith_short_12","alias_value":"ZEFEBX4BORDV","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZEFEBX4BORDVRSJD","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZEFEBX4B","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ZEFEBX4BORDVRSJDSTTOY26E5B","target":"record","payload":{"canonical_record":{"source":{"id":"1505.00566","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-05-04T09:25:42Z","cross_cats_sorted":["cs.MA"],"title_canon_sha256":"930c15d9749505eecaf49d2bfe9892fc733349643bb7ba1a67de292db42e274b","abstract_canon_sha256":"70ba2433928cafa13e9bf47aac5064ad2bafa28b4df7d0dc4717e097165ecffd"},"schema_version":"1.0"},"canonical_sha256":"c90a40df81744758c92394e6ec6bc4e87eca0091d0caa09ec3806efe9f1c9c33","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:02.593049Z","signature_b64":"/RlYkja8s+O8Zrkc/CHRCDh+BvCKJ5DzhwJqE68avCkkOcFwLNqTyChTCGKtCLPJJPKkjf+Aq3VSLdqaZ4WxBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c90a40df81744758c92394e6ec6bc4e87eca0091d0caa09ec3806efe9f1c9c33","last_reissued_at":"2026-05-18T02:17:02.592399Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:02.592399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.00566","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":"2026-05-18T02:17:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z1X07dCnRvj4wm7VGA1qtHel4D6EdkPikvQdy2bSM+KI5jK0TfH2Wbom2sDIxsHecLob8sIv8KrLXcvfp10vCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:56:12.769357Z"},"content_sha256":"e5b5a63a2000207ac1114fa0c627bc5c0a0e6d531ad5483d3ff56526835b8521","schema_version":"1.0","event_id":"sha256:e5b5a63a2000207ac1114fa0c627bc5c0a0e6d531ad5483d3ff56526835b8521"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ZEFEBX4BORDVRSJDSTTOY26E5B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Estimating the Margin of Victory of an Election using Sampling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.MA"],"primary_cat":"cs.AI","authors_text":"Palash Dey, Y. Narahari","submitted_at":"2015-05-04T09:25:42Z","abstract_excerpt":"The margin of victory of an election is a useful measure to capture the robustness of an election outcome. It also plays a crucial role in determining the sample size of various algorithms in post election audit, polling etc. In this work, we present efficient sampling based algorithms for estimating the margin of victory of elections.\n  More formally, we introduce the \\textsc{$(c, \\epsilon, \\delta)$--Margin of Victory} problem, where given an election $\\mathcal{E}$ on $n$ voters, the goal is to estimate the margin of victory $M(\\mathcal{E})$ of $\\mathcal{E}$ within an additive factor of $c Mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00566","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":"2026-05-18T02:17:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PkwOHZSQTsAWah6q27wrC22EDQjka4wDdP+sP8JjQqXd0IqV2vR6KDC6krp5rHFmgmfhPsqNstMVMZ6Dgh3pCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:56:12.769713Z"},"content_sha256":"e769f421fc8acebbb7db1e73b0fa0894c72a0540e6516bb0ed8a1df0e6b2658a","schema_version":"1.0","event_id":"sha256:e769f421fc8acebbb7db1e73b0fa0894c72a0540e6516bb0ed8a1df0e6b2658a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZEFEBX4BORDVRSJDSTTOY26E5B/bundle.json","state_url":"https://pith.science/pith/ZEFEBX4BORDVRSJDSTTOY26E5B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZEFEBX4BORDVRSJDSTTOY26E5B/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":"2026-06-26T15:56:12Z","links":{"resolver":"https://pith.science/pith/ZEFEBX4BORDVRSJDSTTOY26E5B","bundle":"https://pith.science/pith/ZEFEBX4BORDVRSJDSTTOY26E5B/bundle.json","state":"https://pith.science/pith/ZEFEBX4BORDVRSJDSTTOY26E5B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZEFEBX4BORDVRSJDSTTOY26E5B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZEFEBX4BORDVRSJDSTTOY26E5B","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":"70ba2433928cafa13e9bf47aac5064ad2bafa28b4df7d0dc4717e097165ecffd","cross_cats_sorted":["cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-05-04T09:25:42Z","title_canon_sha256":"930c15d9749505eecaf49d2bfe9892fc733349643bb7ba1a67de292db42e274b"},"schema_version":"1.0","source":{"id":"1505.00566","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00566","created_at":"2026-05-18T02:17:02Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00566v1","created_at":"2026-05-18T02:17:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00566","created_at":"2026-05-18T02:17:02Z"},{"alias_kind":"pith_short_12","alias_value":"ZEFEBX4BORDV","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZEFEBX4BORDVRSJD","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZEFEBX4B","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:e769f421fc8acebbb7db1e73b0fa0894c72a0540e6516bb0ed8a1df0e6b2658a","target":"graph","created_at":"2026-05-18T02:17:02Z","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":"The margin of victory of an election is a useful measure to capture the robustness of an election outcome. It also plays a crucial role in determining the sample size of various algorithms in post election audit, polling etc. In this work, we present efficient sampling based algorithms for estimating the margin of victory of elections.\n  More formally, we introduce the \\textsc{$(c, \\epsilon, \\delta)$--Margin of Victory} problem, where given an election $\\mathcal{E}$ on $n$ voters, the goal is to estimate the margin of victory $M(\\mathcal{E})$ of $\\mathcal{E}$ within an additive factor of $c Mo","authors_text":"Palash Dey, Y. Narahari","cross_cats":["cs.MA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-05-04T09:25:42Z","title":"Estimating the Margin of Victory of an Election using Sampling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00566","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:e5b5a63a2000207ac1114fa0c627bc5c0a0e6d531ad5483d3ff56526835b8521","target":"record","created_at":"2026-05-18T02:17:02Z","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":"70ba2433928cafa13e9bf47aac5064ad2bafa28b4df7d0dc4717e097165ecffd","cross_cats_sorted":["cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-05-04T09:25:42Z","title_canon_sha256":"930c15d9749505eecaf49d2bfe9892fc733349643bb7ba1a67de292db42e274b"},"schema_version":"1.0","source":{"id":"1505.00566","kind":"arxiv","version":1}},"canonical_sha256":"c90a40df81744758c92394e6ec6bc4e87eca0091d0caa09ec3806efe9f1c9c33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c90a40df81744758c92394e6ec6bc4e87eca0091d0caa09ec3806efe9f1c9c33","first_computed_at":"2026-05-18T02:17:02.592399Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:02.592399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/RlYkja8s+O8Zrkc/CHRCDh+BvCKJ5DzhwJqE68avCkkOcFwLNqTyChTCGKtCLPJJPKkjf+Aq3VSLdqaZ4WxBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:02.593049Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00566","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5b5a63a2000207ac1114fa0c627bc5c0a0e6d531ad5483d3ff56526835b8521","sha256:e769f421fc8acebbb7db1e73b0fa0894c72a0540e6516bb0ed8a1df0e6b2658a"],"state_sha256":"1465bdeecc853845bb938ec081cb2948b0c3a8a2ca8fd3e4eaa1d79517c3101e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xaNs7EFkPXkxb6KrP+8Y9Zrz/waP8mz3Y76pt9hKgzN8ah4fzoQ/QTZQy45e3utOrBujdMG1VVMnw1l0qJ+uAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T15:56:12.771735Z","bundle_sha256":"d638d0ee6ae8ac90314062d63ebe62088cde06f3a5a30ef424ee7903a32df166"}}