{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:AGSR55G6ZJWYV6WIEUUUJDLXLK","short_pith_number":"pith:AGSR55G6","canonical_record":{"source":{"id":"1402.4965","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-02-20T11:08:19Z","cross_cats_sorted":[],"title_canon_sha256":"7409fdfefddc7596a450200cf2a8ce979a62e701bc88304a74b008988702f508","abstract_canon_sha256":"aab0f4dceff65df22122e781ed579f078d065c6edf012b2029bd83b337dfc5bb"},"schema_version":"1.0"},"canonical_sha256":"01a51ef4deca6d8afac82529448d775ab54466eefb7a29fdefe13e0c00a1ed4e","source":{"kind":"arxiv","id":"1402.4965","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4965","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4965v1","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4965","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"pith_short_12","alias_value":"AGSR55G6ZJWY","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AGSR55G6ZJWYV6WI","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AGSR55G6","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:AGSR55G6ZJWYV6WIEUUUJDLXLK","target":"record","payload":{"canonical_record":{"source":{"id":"1402.4965","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-02-20T11:08:19Z","cross_cats_sorted":[],"title_canon_sha256":"7409fdfefddc7596a450200cf2a8ce979a62e701bc88304a74b008988702f508","abstract_canon_sha256":"aab0f4dceff65df22122e781ed579f078d065c6edf012b2029bd83b337dfc5bb"},"schema_version":"1.0"},"canonical_sha256":"01a51ef4deca6d8afac82529448d775ab54466eefb7a29fdefe13e0c00a1ed4e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:31.498496Z","signature_b64":"bm0P8wxHp4TS0caIcKIuGlDzyKILlGfGXT1pGL/bbgvTorch6pw+OS1G/+2DiM99A5oitoO7lfZmMNCB85jABA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01a51ef4deca6d8afac82529448d775ab54466eefb7a29fdefe13e0c00a1ed4e","last_reissued_at":"2026-05-18T02:58:31.497772Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:31.497772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.4965","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":"2026-05-18T02:58:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EWCHkS6+n64/bA/MyG124XCAJ55VUSRznOuGjeahmZBLd8qhoSCOXDRzHRz4V3RiLF+Z4/ivVA4pLXVUocvSCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:49:41.509434Z"},"content_sha256":"2054983e62cce75e5659ee05ade556f5ab491a30a51485351cd34a2b175f9042","schema_version":"1.0","event_id":"sha256:2054983e62cce75e5659ee05ade556f5ab491a30a51485351cd34a2b175f9042"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:AGSR55G6ZJWYV6WIEUUUJDLXLK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on lattice coverings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Chuanming Zong, Fei Xue","submitted_at":"2014-02-20T11:08:19Z","abstract_excerpt":"This note presents an interesting counterexample to a basic covering problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4965","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":"2026-05-18T02:58:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0BSdBd3SDvLN69ZCfYoHhCSLKa7QraY/z+EzsnCp7Q6/W60KTfOHQJ/N3zAiOIYvixdF6ddKuv56bfDju4npBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:49:41.509924Z"},"content_sha256":"d2180be5068bf83ed3b958d1025b9187b7016137dc476b4f322bf215c040a098","schema_version":"1.0","event_id":"sha256:d2180be5068bf83ed3b958d1025b9187b7016137dc476b4f322bf215c040a098"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AGSR55G6ZJWYV6WIEUUUJDLXLK/bundle.json","state_url":"https://pith.science/pith/AGSR55G6ZJWYV6WIEUUUJDLXLK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AGSR55G6ZJWYV6WIEUUUJDLXLK/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":"2026-06-05T09:49:41Z","links":{"resolver":"https://pith.science/pith/AGSR55G6ZJWYV6WIEUUUJDLXLK","bundle":"https://pith.science/pith/AGSR55G6ZJWYV6WIEUUUJDLXLK/bundle.json","state":"https://pith.science/pith/AGSR55G6ZJWYV6WIEUUUJDLXLK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AGSR55G6ZJWYV6WIEUUUJDLXLK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:AGSR55G6ZJWYV6WIEUUUJDLXLK","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":"aab0f4dceff65df22122e781ed579f078d065c6edf012b2029bd83b337dfc5bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-02-20T11:08:19Z","title_canon_sha256":"7409fdfefddc7596a450200cf2a8ce979a62e701bc88304a74b008988702f508"},"schema_version":"1.0","source":{"id":"1402.4965","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4965","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4965v1","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4965","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"pith_short_12","alias_value":"AGSR55G6ZJWY","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AGSR55G6ZJWYV6WI","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AGSR55G6","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:d2180be5068bf83ed3b958d1025b9187b7016137dc476b4f322bf215c040a098","target":"graph","created_at":"2026-05-18T02:58:31Z","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":"This note presents an interesting counterexample to a basic covering problem.","authors_text":"Chuanming Zong, Fei Xue","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-02-20T11:08:19Z","title":"A note on lattice coverings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4965","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":"sha256:2054983e62cce75e5659ee05ade556f5ab491a30a51485351cd34a2b175f9042","target":"record","created_at":"2026-05-18T02:58:31Z","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":"aab0f4dceff65df22122e781ed579f078d065c6edf012b2029bd83b337dfc5bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-02-20T11:08:19Z","title_canon_sha256":"7409fdfefddc7596a450200cf2a8ce979a62e701bc88304a74b008988702f508"},"schema_version":"1.0","source":{"id":"1402.4965","kind":"arxiv","version":1}},"canonical_sha256":"01a51ef4deca6d8afac82529448d775ab54466eefb7a29fdefe13e0c00a1ed4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01a51ef4deca6d8afac82529448d775ab54466eefb7a29fdefe13e0c00a1ed4e","first_computed_at":"2026-05-18T02:58:31.497772Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:31.497772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bm0P8wxHp4TS0caIcKIuGlDzyKILlGfGXT1pGL/bbgvTorch6pw+OS1G/+2DiM99A5oitoO7lfZmMNCB85jABA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:31.498496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4965","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2054983e62cce75e5659ee05ade556f5ab491a30a51485351cd34a2b175f9042","sha256:d2180be5068bf83ed3b958d1025b9187b7016137dc476b4f322bf215c040a098"],"state_sha256":"bf018cc602b86ff8820262f54d1a1078dc18d75e30645bea6ef15db32671a0cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TcJnclrE7osFgU5pZdfZl1vDg+oxk+MnnjkqAm8WsFBXx6bFYPG/A0LhwZ7jEmnFprR3UWuvYRpEcVfv2k8vAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T09:49:41.513174Z","bundle_sha256":"72abcb5c61af16d20ac937461bf417ef5389ce74221232c20d68a620a2065443"}}