{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2P6LCEHBE4VSUOG4AZDPOGOWTV","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":"fbab2c8ac525687f607cedadf8fc8c1853434fba7596146ef7d36e2872899dd9","cross_cats_sorted":["cs.IT","math.IT","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-10-23T14:23:40Z","title_canon_sha256":"da66e6c6681f430ec9b966e6c7875a9af952cb607cfddd17c477f7962e94bb56"},"schema_version":"1.0","source":{"id":"1810.09877","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.09877","created_at":"2026-05-18T00:02:29Z"},{"alias_kind":"arxiv_version","alias_value":"1810.09877v1","created_at":"2026-05-18T00:02:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.09877","created_at":"2026-05-18T00:02:29Z"},{"alias_kind":"pith_short_12","alias_value":"2P6LCEHBE4VS","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2P6LCEHBE4VSUOG4","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2P6LCEHB","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:62d848e89359b338b00623d6696f48be2100f509a30ef7968b6d177c2f2e9c7f","target":"graph","created_at":"2026-05-18T00:02:29Z","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 paper discusses a connection between insertion/deletion (ID) codes and minuscule elements of Weyl groups.","authors_text":"Manabu Hagiwara","cross_cats":["cs.IT","math.IT","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-10-23T14:23:40Z","title":"Perfect Codes for Generalized Deletions from Minuscule Elements of Weyl Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.09877","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":"sha256:77f28dc9a52d3c8513a49f5da0d1a6556a0c471b49cf6b413c9a701020b77cf4","target":"record","created_at":"2026-05-18T00:02:29Z","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":"fbab2c8ac525687f607cedadf8fc8c1853434fba7596146ef7d36e2872899dd9","cross_cats_sorted":["cs.IT","math.IT","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-10-23T14:23:40Z","title_canon_sha256":"da66e6c6681f430ec9b966e6c7875a9af952cb607cfddd17c477f7962e94bb56"},"schema_version":"1.0","source":{"id":"1810.09877","kind":"arxiv","version":1}},"canonical_sha256":"d3fcb110e1272b2a38dc0646f719d69d73793d66992028240423e2e06c7a37a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3fcb110e1272b2a38dc0646f719d69d73793d66992028240423e2e06c7a37a0","first_computed_at":"2026-05-18T00:02:29.075773Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:29.075773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2hM/I6k3fCTEBAFlqtyVi+LdRGMvSkZCLUhvXDrlkz/epJ/9HoNF+psImGw78KPAThrUO+wPsG9lBHqOal51Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:29.076470Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.09877","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77f28dc9a52d3c8513a49f5da0d1a6556a0c471b49cf6b413c9a701020b77cf4","sha256:62d848e89359b338b00623d6696f48be2100f509a30ef7968b6d177c2f2e9c7f"],"state_sha256":"a56ad4cb935cf1e7ed5ffa8b342158df8a867711f8313db411b7773e2ea26cbc"}