{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:HZGZD5T7ZJKPZYQRND6OGFGCBL","short_pith_number":"pith:HZGZD5T7","schema_version":"1.0","canonical_sha256":"3e4d91f67fca54fce21168fce314c20afff08d0af49a78d268975a5472e4f269","source":{"kind":"arxiv","id":"1103.2487","version":1},"attestation_state":"computed","paper":{"title":"Hierarchical Simple Games: Representations and Weightedness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ali Hameed, Arkadii Slinko, Tatiana Gvozdeva","submitted_at":"2011-03-13T01:08:50Z","abstract_excerpt":"In many situations, both in human and artificial societies, cooperating agents have different status with respect to the activity and it is not uncommon that certain actions are only allowed to coalitions that satisfy certain criteria, e.g., to sufficiently large coalitions or coalitions which involve players of sufficient seniority. Simmons (1988) formalized this idea in the context of secret sharing schemes by defining the concept of a (disjunctive) hierarchical access structure. Tassa (2007) introduced their conjunctive counterpart. From the game theory perspective access structures in secr"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1103.2487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-03-13T01:08:50Z","cross_cats_sorted":[],"title_canon_sha256":"087cdbbb2010ab88d85c8756f8a19f8daf4fc7ee0c9c3897d90da82c4ca4d0c9","abstract_canon_sha256":"852bae4547789872fbb5e4254d4d969a7615d5719bb77749ae1d5e69fd25f952"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:55.217281Z","signature_b64":"jwVVE5LPo3U+IyTaGxq3Ml8ySYov8kntz68UxHgSYc59rkWlX2euWIzq0JA6wt8yy1LO0llfZOWjq7OyNOvEBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e4d91f67fca54fce21168fce314c20afff08d0af49a78d268975a5472e4f269","last_reissued_at":"2026-05-18T04:26:55.216767Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:55.216767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hierarchical Simple Games: Representations and Weightedness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ali Hameed, Arkadii Slinko, Tatiana Gvozdeva","submitted_at":"2011-03-13T01:08:50Z","abstract_excerpt":"In many situations, both in human and artificial societies, cooperating agents have different status with respect to the activity and it is not uncommon that certain actions are only allowed to coalitions that satisfy certain criteria, e.g., to sufficiently large coalitions or coalitions which involve players of sufficient seniority. Simmons (1988) formalized this idea in the context of secret sharing schemes by defining the concept of a (disjunctive) hierarchical access structure. Tassa (2007) introduced their conjunctive counterpart. From the game theory perspective access structures in secr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.2487","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1103.2487","created_at":"2026-05-18T04:26:55.216846+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.2487v1","created_at":"2026-05-18T04:26:55.216846+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.2487","created_at":"2026-05-18T04:26:55.216846+00:00"},{"alias_kind":"pith_short_12","alias_value":"HZGZD5T7ZJKP","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"HZGZD5T7ZJKPZYQR","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"HZGZD5T7","created_at":"2026-05-18T12:26:30.835961+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HZGZD5T7ZJKPZYQRND6OGFGCBL","json":"https://pith.science/pith/HZGZD5T7ZJKPZYQRND6OGFGCBL.json","graph_json":"https://pith.science/api/pith-number/HZGZD5T7ZJKPZYQRND6OGFGCBL/graph.json","events_json":"https://pith.science/api/pith-number/HZGZD5T7ZJKPZYQRND6OGFGCBL/events.json","paper":"https://pith.science/paper/HZGZD5T7"},"agent_actions":{"view_html":"https://pith.science/pith/HZGZD5T7ZJKPZYQRND6OGFGCBL","download_json":"https://pith.science/pith/HZGZD5T7ZJKPZYQRND6OGFGCBL.json","view_paper":"https://pith.science/paper/HZGZD5T7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.2487&json=true","fetch_graph":"https://pith.science/api/pith-number/HZGZD5T7ZJKPZYQRND6OGFGCBL/graph.json","fetch_events":"https://pith.science/api/pith-number/HZGZD5T7ZJKPZYQRND6OGFGCBL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HZGZD5T7ZJKPZYQRND6OGFGCBL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HZGZD5T7ZJKPZYQRND6OGFGCBL/action/storage_attestation","attest_author":"https://pith.science/pith/HZGZD5T7ZJKPZYQRND6OGFGCBL/action/author_attestation","sign_citation":"https://pith.science/pith/HZGZD5T7ZJKPZYQRND6OGFGCBL/action/citation_signature","submit_replication":"https://pith.science/pith/HZGZD5T7ZJKPZYQRND6OGFGCBL/action/replication_record"}},"created_at":"2026-05-18T04:26:55.216846+00:00","updated_at":"2026-05-18T04:26:55.216846+00:00"}