{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2YF56OA5O7QL547JUO2OP3I4BD","short_pith_number":"pith:2YF56OA5","canonical_record":{"source":{"id":"1703.00500","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-01T21:02:28Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8ec05ea9d850fc448d73e03e8e5e5aab9c1f520c6321017df82fa514e85a62a8","abstract_canon_sha256":"fe853675d4d5b205c34c546549658841bd2700de12438246bd578ab0d344796d"},"schema_version":"1.0"},"canonical_sha256":"d60bdf381d77e0bef3e9a3b4e7ed1c08f022f4632ef7b05286a5809b94cffb00","source":{"kind":"arxiv","id":"1703.00500","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.00500","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"arxiv_version","alias_value":"1703.00500v1","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00500","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"pith_short_12","alias_value":"2YF56OA5O7QL","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2YF56OA5O7QL547J","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2YF56OA5","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2YF56OA5O7QL547JUO2OP3I4BD","target":"record","payload":{"canonical_record":{"source":{"id":"1703.00500","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-01T21:02:28Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8ec05ea9d850fc448d73e03e8e5e5aab9c1f520c6321017df82fa514e85a62a8","abstract_canon_sha256":"fe853675d4d5b205c34c546549658841bd2700de12438246bd578ab0d344796d"},"schema_version":"1.0"},"canonical_sha256":"d60bdf381d77e0bef3e9a3b4e7ed1c08f022f4632ef7b05286a5809b94cffb00","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:41.517240Z","signature_b64":"tFBiZgmaQiVsNfY25OImrXGOhuGFzlK1BBfGKJifYyl+Gpj/E0616fUV/JJu76zQXNuo7tEzrSeXyjk2nP8XDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d60bdf381d77e0bef3e9a3b4e7ed1c08f022f4632ef7b05286a5809b94cffb00","last_reissued_at":"2026-05-18T00:49:41.516366Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:41.516366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.00500","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":"2026-05-18T00:49:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RnxI2kVXNza7vVsnsUozTMAD/E2nIliEY02ZWVgKIXCYdwhzvdHmlk9SkpfrlTIjxU9ZA9Sp1oQMp9plxJsRAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:27:55.601252Z"},"content_sha256":"91e2a95f43ef89aa7442da80c6bc1e6ce3b2889de4aa5676b0f16eef89885ee8","schema_version":"1.0","event_id":"sha256:91e2a95f43ef89aa7442da80c6bc1e6ce3b2889de4aa5676b0f16eef89885ee8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2YF56OA5O7QL547JUO2OP3I4BD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Infinity-Norm Permutation Covering Codes from Cyclic Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Moshe Schwartz, Ronen Karni","submitted_at":"2017-03-01T21:02:28Z","abstract_excerpt":"We study covering codes of permutations with the $\\ell_\\infty$-metric. We provide a general code construction, which uses smaller building-block codes. We study cyclic transitive groups as building blocks, determining their exact covering radius, and showing linear-time algorithms for finding a covering codeword. We also bound the covering radius of relabeled cyclic transitive groups under conjugation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00500","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":"2026-05-18T00:49:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bggIaKktmAMnFiQH/RgExsgvz3oyWjclQo2gZDAKzdl2pxCMuG4fl+SKrK18n9jVUEAtRCrwTOe/ZkW9xj8MAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:27:55.602016Z"},"content_sha256":"2881e58655211f7e129d0612098466c731b8688d3ffa7b8dcbf346a2d706598d","schema_version":"1.0","event_id":"sha256:2881e58655211f7e129d0612098466c731b8688d3ffa7b8dcbf346a2d706598d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2YF56OA5O7QL547JUO2OP3I4BD/bundle.json","state_url":"https://pith.science/pith/2YF56OA5O7QL547JUO2OP3I4BD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2YF56OA5O7QL547JUO2OP3I4BD/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":"2026-06-11T22:27:55Z","links":{"resolver":"https://pith.science/pith/2YF56OA5O7QL547JUO2OP3I4BD","bundle":"https://pith.science/pith/2YF56OA5O7QL547JUO2OP3I4BD/bundle.json","state":"https://pith.science/pith/2YF56OA5O7QL547JUO2OP3I4BD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2YF56OA5O7QL547JUO2OP3I4BD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2YF56OA5O7QL547JUO2OP3I4BD","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":"fe853675d4d5b205c34c546549658841bd2700de12438246bd578ab0d344796d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-01T21:02:28Z","title_canon_sha256":"8ec05ea9d850fc448d73e03e8e5e5aab9c1f520c6321017df82fa514e85a62a8"},"schema_version":"1.0","source":{"id":"1703.00500","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.00500","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"arxiv_version","alias_value":"1703.00500v1","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00500","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"pith_short_12","alias_value":"2YF56OA5O7QL","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2YF56OA5O7QL547J","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2YF56OA5","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:2881e58655211f7e129d0612098466c731b8688d3ffa7b8dcbf346a2d706598d","target":"graph","created_at":"2026-05-18T00:49:41Z","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 study covering codes of permutations with the $\\ell_\\infty$-metric. We provide a general code construction, which uses smaller building-block codes. We study cyclic transitive groups as building blocks, determining their exact covering radius, and showing linear-time algorithms for finding a covering codeword. We also bound the covering radius of relabeled cyclic transitive groups under conjugation.","authors_text":"Moshe Schwartz, Ronen Karni","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-01T21:02:28Z","title":"Infinity-Norm Permutation Covering Codes from Cyclic Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00500","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":"sha256:91e2a95f43ef89aa7442da80c6bc1e6ce3b2889de4aa5676b0f16eef89885ee8","target":"record","created_at":"2026-05-18T00:49:41Z","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":"fe853675d4d5b205c34c546549658841bd2700de12438246bd578ab0d344796d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-01T21:02:28Z","title_canon_sha256":"8ec05ea9d850fc448d73e03e8e5e5aab9c1f520c6321017df82fa514e85a62a8"},"schema_version":"1.0","source":{"id":"1703.00500","kind":"arxiv","version":1}},"canonical_sha256":"d60bdf381d77e0bef3e9a3b4e7ed1c08f022f4632ef7b05286a5809b94cffb00","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d60bdf381d77e0bef3e9a3b4e7ed1c08f022f4632ef7b05286a5809b94cffb00","first_computed_at":"2026-05-18T00:49:41.516366Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:41.516366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tFBiZgmaQiVsNfY25OImrXGOhuGFzlK1BBfGKJifYyl+Gpj/E0616fUV/JJu76zQXNuo7tEzrSeXyjk2nP8XDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:41.517240Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.00500","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91e2a95f43ef89aa7442da80c6bc1e6ce3b2889de4aa5676b0f16eef89885ee8","sha256:2881e58655211f7e129d0612098466c731b8688d3ffa7b8dcbf346a2d706598d"],"state_sha256":"5658615be61f5c0a53fc115af7a7d2d58d5cd80439468369bb2747f9075e6b34"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SBlzJkbAvH0lvPaL7If52SNQw5+hAUpUf3yICdUiVZAji2dMUFLaKM/4+vPhg8HUO3DC/qvVP7v6UdhjdP5aDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T22:27:55.606221Z","bundle_sha256":"26226b0d4573433656fc28d66fcbf957f967e89cd8949f82a1a987298cf7f133"}}