{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG","short_pith_number":"pith:7LEOI2ZZ","schema_version":"1.0","canonical_sha256":"fac8e46b39fe38ade5eb2405e8887b81a77a1f6b3542c00e065e29830d4fe106","source":{"kind":"arxiv","id":"1112.5741","version":1},"attestation_state":"computed","paper":{"title":"Partially Symmetric Functions are Efficiently Isomorphism-Testable","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","math.CO"],"primary_cat":"cs.DS","authors_text":"Amit Weinstein, Eric Blais, Yuichi Yoshida","submitted_at":"2011-12-24T17:23:14Z","abstract_excerpt":"Given a function f: {0,1}^n \\to {0,1}, the f-isomorphism testing problem requires a randomized algorithm to distinguish functions that are identical to f up to relabeling of the input variables from functions that are far from being so. An important open question in property testing is to determine for which functions f we can test f-isomorphism with a constant number of queries. Despite much recent attention to this question, essentially only two classes of functions were known to be efficiently isomorphism testable: symmetric functions and juntas.\n  We unify and extend these results by showi"},"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":"1112.5741","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2011-12-24T17:23:14Z","cross_cats_sorted":["cs.CC","math.CO"],"title_canon_sha256":"fde4ba70f15e1a0cd47cef451c6f27717b75534490939cebb758719f3c86e434","abstract_canon_sha256":"206c6014f7febc584481f1d3352aaa4b992288c6ff09a9e6d8afd2311c743d10"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:37.687087Z","signature_b64":"OU2xWh4yZ9eIUV9OZ3CtZPSUFcJFB3lOr/hd+Jb3SjfEVSeBaasJ5unJmXVPYZ48NkHQgobFL85yBT7NzWXDAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fac8e46b39fe38ade5eb2405e8887b81a77a1f6b3542c00e065e29830d4fe106","last_reissued_at":"2026-05-18T04:05:37.686704Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:37.686704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Partially Symmetric Functions are Efficiently Isomorphism-Testable","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","math.CO"],"primary_cat":"cs.DS","authors_text":"Amit Weinstein, Eric Blais, Yuichi Yoshida","submitted_at":"2011-12-24T17:23:14Z","abstract_excerpt":"Given a function f: {0,1}^n \\to {0,1}, the f-isomorphism testing problem requires a randomized algorithm to distinguish functions that are identical to f up to relabeling of the input variables from functions that are far from being so. An important open question in property testing is to determine for which functions f we can test f-isomorphism with a constant number of queries. Despite much recent attention to this question, essentially only two classes of functions were known to be efficiently isomorphism testable: symmetric functions and juntas.\n  We unify and extend these results by showi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5741","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":"1112.5741","created_at":"2026-05-18T04:05:37.686771+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.5741v1","created_at":"2026-05-18T04:05:37.686771+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5741","created_at":"2026-05-18T04:05:37.686771+00:00"},{"alias_kind":"pith_short_12","alias_value":"7LEOI2ZZ7Y4K","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"7LEOI2ZZ7Y4K3ZPL","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"7LEOI2ZZ","created_at":"2026-05-18T12:26:22.705136+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/7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG","json":"https://pith.science/pith/7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG.json","graph_json":"https://pith.science/api/pith-number/7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG/graph.json","events_json":"https://pith.science/api/pith-number/7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG/events.json","paper":"https://pith.science/paper/7LEOI2ZZ"},"agent_actions":{"view_html":"https://pith.science/pith/7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG","download_json":"https://pith.science/pith/7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG.json","view_paper":"https://pith.science/paper/7LEOI2ZZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.5741&json=true","fetch_graph":"https://pith.science/api/pith-number/7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG/graph.json","fetch_events":"https://pith.science/api/pith-number/7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG/action/storage_attestation","attest_author":"https://pith.science/pith/7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG/action/author_attestation","sign_citation":"https://pith.science/pith/7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG/action/citation_signature","submit_replication":"https://pith.science/pith/7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG/action/replication_record"}},"created_at":"2026-05-18T04:05:37.686771+00:00","updated_at":"2026-05-18T04:05:37.686771+00:00"}