{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QZINHPEKK7HW7TMO2WYQBUFSB4","short_pith_number":"pith:QZINHPEK","canonical_record":{"source":{"id":"1610.08407","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-10-26T16:37:17Z","cross_cats_sorted":["cs.DS","cs.MA"],"title_canon_sha256":"e3c2b1948eff758516068533c90f22b304663dfcafd9a6c2a87672b33def7217","abstract_canon_sha256":"441c4ae76970d9e98d29e93087da34ef41d419cabd22a0e48f6e32a8e06f19ba"},"schema_version":"1.0"},"canonical_sha256":"8650d3bc8a57cf6fcd8ed5b100d0b20f2a68395f58de73c7655b688f34fdf1c3","source":{"kind":"arxiv","id":"1610.08407","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.08407","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"arxiv_version","alias_value":"1610.08407v1","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08407","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"pith_short_12","alias_value":"QZINHPEKK7HW","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QZINHPEKK7HW7TMO","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QZINHPEK","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QZINHPEKK7HW7TMO2WYQBUFSB4","target":"record","payload":{"canonical_record":{"source":{"id":"1610.08407","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-10-26T16:37:17Z","cross_cats_sorted":["cs.DS","cs.MA"],"title_canon_sha256":"e3c2b1948eff758516068533c90f22b304663dfcafd9a6c2a87672b33def7217","abstract_canon_sha256":"441c4ae76970d9e98d29e93087da34ef41d419cabd22a0e48f6e32a8e06f19ba"},"schema_version":"1.0"},"canonical_sha256":"8650d3bc8a57cf6fcd8ed5b100d0b20f2a68395f58de73c7655b688f34fdf1c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:09.460192Z","signature_b64":"1DcmrAdYcHAIQsosIwOoAZ5MiwmbtuAyCKWo+9wae2d1xGLOMZPxhGABbcZvRSq0qLD9vkxctJBhBD0rYNg2DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8650d3bc8a57cf6fcd8ed5b100d0b20f2a68395f58de73c7655b688f34fdf1c3","last_reissued_at":"2026-05-18T01:01:09.459479Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:09.459479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.08407","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":"2026-05-18T01:01:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+oMyl9PU/qZDJcEU32+SLOvb/cVVjCvjEX4YYG8kqzq90DVjqTd8NTUcV5jDkjlcGMfm2J4X7xYpnfPaPQZ6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:25:21.456215Z"},"content_sha256":"517c0fb72d5c72e5773050a0065cf5cb190de96874dd133aaf1a6d2f177a75e1","schema_version":"1.0","event_id":"sha256:517c0fb72d5c72e5773050a0065cf5cb190de96874dd133aaf1a6d2f177a75e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QZINHPEKK7HW7TMO2WYQBUFSB4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Exact Amount of Missing Information that makes Finding Possible Winners Hard","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS","cs.MA"],"primary_cat":"cs.GT","authors_text":"Neeldhara Misra, Palash Dey","submitted_at":"2016-10-26T16:37:17Z","abstract_excerpt":"We consider election scenarios with incomplete information, a situation that arises often in practice. There are several models of incomplete information and accordingly, different notions of outcomes of such elections. In one well-studied model of incompleteness, the votes are given by partial orders over the candidates. In this context we can frame the problem of finding a possible winner, which involves determining whether a given candidate wins in at least one completion of a given set of partial votes for a specific voting rule.\n  The possible winner problem is well-known to be NP-complet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08407","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":"2026-05-18T01:01:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qs2LLl5BrztvcENmrMRRDeKza7KVElNcz79xA3xz5zCBkygjFuuV60nz+MpJQQpsKvR8QENcCMeneKC1nyQaDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:25:21.456595Z"},"content_sha256":"03f66e1329b1279ffe19e217cb568ef60effe19398dea5c4f4c503d05b3bcf7e","schema_version":"1.0","event_id":"sha256:03f66e1329b1279ffe19e217cb568ef60effe19398dea5c4f4c503d05b3bcf7e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QZINHPEKK7HW7TMO2WYQBUFSB4/bundle.json","state_url":"https://pith.science/pith/QZINHPEKK7HW7TMO2WYQBUFSB4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QZINHPEKK7HW7TMO2WYQBUFSB4/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":"2026-06-08T14:25:21Z","links":{"resolver":"https://pith.science/pith/QZINHPEKK7HW7TMO2WYQBUFSB4","bundle":"https://pith.science/pith/QZINHPEKK7HW7TMO2WYQBUFSB4/bundle.json","state":"https://pith.science/pith/QZINHPEKK7HW7TMO2WYQBUFSB4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QZINHPEKK7HW7TMO2WYQBUFSB4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QZINHPEKK7HW7TMO2WYQBUFSB4","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":"441c4ae76970d9e98d29e93087da34ef41d419cabd22a0e48f6e32a8e06f19ba","cross_cats_sorted":["cs.DS","cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-10-26T16:37:17Z","title_canon_sha256":"e3c2b1948eff758516068533c90f22b304663dfcafd9a6c2a87672b33def7217"},"schema_version":"1.0","source":{"id":"1610.08407","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.08407","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"arxiv_version","alias_value":"1610.08407v1","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08407","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"pith_short_12","alias_value":"QZINHPEKK7HW","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QZINHPEKK7HW7TMO","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QZINHPEK","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:03f66e1329b1279ffe19e217cb568ef60effe19398dea5c4f4c503d05b3bcf7e","target":"graph","created_at":"2026-05-18T01:01:09Z","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 consider election scenarios with incomplete information, a situation that arises often in practice. There are several models of incomplete information and accordingly, different notions of outcomes of such elections. In one well-studied model of incompleteness, the votes are given by partial orders over the candidates. In this context we can frame the problem of finding a possible winner, which involves determining whether a given candidate wins in at least one completion of a given set of partial votes for a specific voting rule.\n  The possible winner problem is well-known to be NP-complet","authors_text":"Neeldhara Misra, Palash Dey","cross_cats":["cs.DS","cs.MA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-10-26T16:37:17Z","title":"On the Exact Amount of Missing Information that makes Finding Possible Winners Hard"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08407","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":"sha256:517c0fb72d5c72e5773050a0065cf5cb190de96874dd133aaf1a6d2f177a75e1","target":"record","created_at":"2026-05-18T01:01:09Z","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":"441c4ae76970d9e98d29e93087da34ef41d419cabd22a0e48f6e32a8e06f19ba","cross_cats_sorted":["cs.DS","cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-10-26T16:37:17Z","title_canon_sha256":"e3c2b1948eff758516068533c90f22b304663dfcafd9a6c2a87672b33def7217"},"schema_version":"1.0","source":{"id":"1610.08407","kind":"arxiv","version":1}},"canonical_sha256":"8650d3bc8a57cf6fcd8ed5b100d0b20f2a68395f58de73c7655b688f34fdf1c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8650d3bc8a57cf6fcd8ed5b100d0b20f2a68395f58de73c7655b688f34fdf1c3","first_computed_at":"2026-05-18T01:01:09.459479Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:09.459479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1DcmrAdYcHAIQsosIwOoAZ5MiwmbtuAyCKWo+9wae2d1xGLOMZPxhGABbcZvRSq0qLD9vkxctJBhBD0rYNg2DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:09.460192Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.08407","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:517c0fb72d5c72e5773050a0065cf5cb190de96874dd133aaf1a6d2f177a75e1","sha256:03f66e1329b1279ffe19e217cb568ef60effe19398dea5c4f4c503d05b3bcf7e"],"state_sha256":"fbf36d62641bcd5024f6258f5cc2b4f99e46a1d84d14d4a3f499945ddcf777f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nAT7dMMEWC+ddXOq0WSwgg3EEpZec5SxjmYnIjXf32PBTOK55nVr1VEyoCC8QkV2lfMpBVBj/jX9f4GIp/LsBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T14:25:21.458932Z","bundle_sha256":"67b4cfb527c592e7af170a295f354d5041a215281b549970c9e401544ed08a0b"}}