{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:CCQ4AAPETMGEP3RQJXDJ5LSRYW","short_pith_number":"pith:CCQ4AAPE","canonical_record":{"source":{"id":"1807.06272","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-07-17T08:18:49Z","cross_cats_sorted":[],"title_canon_sha256":"843e469684f963df7920821fb185b51a7859242e9b719b838e1223bc0c2637b5","abstract_canon_sha256":"2bc8f72dc12712b1db529e995219db5b055f16bb011e771b734b279a994ba026"},"schema_version":"1.0"},"canonical_sha256":"10a1c001e49b0c47ee304dc69eae51c5b8441ce7dcd5c4ff8150bb5fdf61271f","source":{"kind":"arxiv","id":"1807.06272","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06272","created_at":"2026-07-05T06:07:26Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06272v2","created_at":"2026-07-05T06:07:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06272","created_at":"2026-07-05T06:07:26Z"},{"alias_kind":"pith_short_12","alias_value":"CCQ4AAPETMGE","created_at":"2026-07-05T06:07:26Z"},{"alias_kind":"pith_short_16","alias_value":"CCQ4AAPETMGEP3RQ","created_at":"2026-07-05T06:07:26Z"},{"alias_kind":"pith_short_8","alias_value":"CCQ4AAPE","created_at":"2026-07-05T06:07:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:CCQ4AAPETMGEP3RQJXDJ5LSRYW","target":"record","payload":{"canonical_record":{"source":{"id":"1807.06272","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-07-17T08:18:49Z","cross_cats_sorted":[],"title_canon_sha256":"843e469684f963df7920821fb185b51a7859242e9b719b838e1223bc0c2637b5","abstract_canon_sha256":"2bc8f72dc12712b1db529e995219db5b055f16bb011e771b734b279a994ba026"},"schema_version":"1.0"},"canonical_sha256":"10a1c001e49b0c47ee304dc69eae51c5b8441ce7dcd5c4ff8150bb5fdf61271f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:07:26.845182Z","signature_b64":"sL/TSl4NxSmp6+T1iHrjfQWpbOI0GV+Ij/ErmD7yVobgT7lmnrFB1XOEODh0C4F1BRV6X8N1Pe6kpFTQcY12BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10a1c001e49b0c47ee304dc69eae51c5b8441ce7dcd5c4ff8150bb5fdf61271f","last_reissued_at":"2026-07-05T06:07:26.844772Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:07:26.844772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.06272","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:07:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tWnWyOOTi/X6me3Ee7t66Im5Xln4gz60cWw60h3hdbuGVcUB9r5cALfgwSTcZ5cLc8kwWHUtox8XCAZMimM0AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T08:36:49.321870Z"},"content_sha256":"f092ca9d01134268d391a40e14ff057f2bf9cb0d15132c4250f690a970428da6","schema_version":"1.0","event_id":"sha256:f092ca9d01134268d391a40e14ff057f2bf9cb0d15132c4250f690a970428da6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:CCQ4AAPETMGEP3RQJXDJ5LSRYW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Almost optimal query algorithm for hitting set using a subset query","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DS","authors_text":"Arijit Bishnu, Arijit Ghosh, Gopinath Mishra, Saket Saurabh, Sudeshna Kolay","submitted_at":"2018-07-17T08:18:49Z","abstract_excerpt":"Given access to the hypergraph through a subset query oracle in the query model, we give sublinear time algorithms for Hitting-Set with almost tight parameterized query complexity. In parameterized query complexity, we estimate the number of queries to the oracle based on the parameter $k$, the size of the Hitting-Set. The subset query oracle we use in this paper is called Generalized $d$-partite Independent Set query oracle (GPIS) and it was introduced by Bishnu et al. (ISAAC'18). GPIS is a generalization to hypergraphs of the Bipartite Independent Set query oracle (BIS) introduced by Beame e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06272","kind":"arxiv","version":2},"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/1807.06272/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":"2026-07-05T06:07:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dRYU2EJecKeyLfputAnd9zmd258TSdE0uJl1jMsNzaupgY+Z/U4ao0eqTA7iktt+5brjxNKnpCpzFPNWc3j9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T08:36:49.322748Z"},"content_sha256":"6f9f4883e467ce74cf59b485b6105f9ac0d16a12680641dae236b717c08756b2","schema_version":"1.0","event_id":"sha256:6f9f4883e467ce74cf59b485b6105f9ac0d16a12680641dae236b717c08756b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CCQ4AAPETMGEP3RQJXDJ5LSRYW/bundle.json","state_url":"https://pith.science/pith/CCQ4AAPETMGEP3RQJXDJ5LSRYW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CCQ4AAPETMGEP3RQJXDJ5LSRYW/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":"2026-08-16T08:36:49Z","links":{"resolver":"https://pith.science/pith/CCQ4AAPETMGEP3RQJXDJ5LSRYW","bundle":"https://pith.science/pith/CCQ4AAPETMGEP3RQJXDJ5LSRYW/bundle.json","state":"https://pith.science/pith/CCQ4AAPETMGEP3RQJXDJ5LSRYW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CCQ4AAPETMGEP3RQJXDJ5LSRYW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CCQ4AAPETMGEP3RQJXDJ5LSRYW","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":"2bc8f72dc12712b1db529e995219db5b055f16bb011e771b734b279a994ba026","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-07-17T08:18:49Z","title_canon_sha256":"843e469684f963df7920821fb185b51a7859242e9b719b838e1223bc0c2637b5"},"schema_version":"1.0","source":{"id":"1807.06272","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06272","created_at":"2026-07-05T06:07:26Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06272v2","created_at":"2026-07-05T06:07:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06272","created_at":"2026-07-05T06:07:26Z"},{"alias_kind":"pith_short_12","alias_value":"CCQ4AAPETMGE","created_at":"2026-07-05T06:07:26Z"},{"alias_kind":"pith_short_16","alias_value":"CCQ4AAPETMGEP3RQ","created_at":"2026-07-05T06:07:26Z"},{"alias_kind":"pith_short_8","alias_value":"CCQ4AAPE","created_at":"2026-07-05T06:07:26Z"}],"graph_snapshots":[{"event_id":"sha256:6f9f4883e467ce74cf59b485b6105f9ac0d16a12680641dae236b717c08756b2","target":"graph","created_at":"2026-07-05T06:07:26Z","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/1807.06272/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Given access to the hypergraph through a subset query oracle in the query model, we give sublinear time algorithms for Hitting-Set with almost tight parameterized query complexity. In parameterized query complexity, we estimate the number of queries to the oracle based on the parameter $k$, the size of the Hitting-Set. The subset query oracle we use in this paper is called Generalized $d$-partite Independent Set query oracle (GPIS) and it was introduced by Bishnu et al. (ISAAC'18). GPIS is a generalization to hypergraphs of the Bipartite Independent Set query oracle (BIS) introduced by Beame e","authors_text":"Arijit Bishnu, Arijit Ghosh, Gopinath Mishra, Saket Saurabh, Sudeshna Kolay","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-07-17T08:18:49Z","title":"Almost optimal query algorithm for hitting set using a subset query"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06272","kind":"arxiv","version":2},"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:f092ca9d01134268d391a40e14ff057f2bf9cb0d15132c4250f690a970428da6","target":"record","created_at":"2026-07-05T06:07:26Z","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":"2bc8f72dc12712b1db529e995219db5b055f16bb011e771b734b279a994ba026","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-07-17T08:18:49Z","title_canon_sha256":"843e469684f963df7920821fb185b51a7859242e9b719b838e1223bc0c2637b5"},"schema_version":"1.0","source":{"id":"1807.06272","kind":"arxiv","version":2}},"canonical_sha256":"10a1c001e49b0c47ee304dc69eae51c5b8441ce7dcd5c4ff8150bb5fdf61271f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10a1c001e49b0c47ee304dc69eae51c5b8441ce7dcd5c4ff8150bb5fdf61271f","first_computed_at":"2026-07-05T06:07:26.844772Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:07:26.844772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sL/TSl4NxSmp6+T1iHrjfQWpbOI0GV+Ij/ErmD7yVobgT7lmnrFB1XOEODh0C4F1BRV6X8N1Pe6kpFTQcY12BA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:07:26.845182Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.06272","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f092ca9d01134268d391a40e14ff057f2bf9cb0d15132c4250f690a970428da6","sha256:6f9f4883e467ce74cf59b485b6105f9ac0d16a12680641dae236b717c08756b2"],"state_sha256":"503e00c441abcc427ce59fe7e1efecebd5482ef97acaa3d77dabbb46b5e44631"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bsmnJcSJa+7c5dfbN68zJ9XUUE/AdambNktcTOUDR1y5bg59FxXggzeHfzdYkWus6XNGTC7o5vGpSHceL/q3BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T08:36:49.329582Z","bundle_sha256":"6317caefbb669cebb0aff7977d92a80f64bd2fe5e67256729c1b86bd98780c2a"}}