{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TKZMWVQQMB5ECUS5P4CK2LTDVZ","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":"854a9cde93113897e41f5718150024c53c4c01530fd9bc3611476510b321be43","cross_cats_sorted":["math.CA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-12T13:20:42Z","title_canon_sha256":"069e0c880bce82bb9f0b78d1143cdffd8baf93e4e2798c21e51c89e95cfb7f33"},"schema_version":"1.0","source":{"id":"1403.2922","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2922","created_at":"2026-05-18T02:56:33Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2922v1","created_at":"2026-05-18T02:56:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2922","created_at":"2026-05-18T02:56:33Z"},{"alias_kind":"pith_short_12","alias_value":"TKZMWVQQMB5E","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TKZMWVQQMB5ECUS5","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TKZMWVQQ","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:9453cde16ba442409abc59cda288586668ff3e94094d5ee19858364a7ac8bfe1","target":"graph","created_at":"2026-05-18T02:56:33Z","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":"Introducing a quaternionic structure on Euclidean space, the fundaments for quaternionic and symplectic Clifford analysis are studied in detail from the viewpoint of invariance for the symplectic group action.","authors_text":"David Eelbode, Fred Brackx, Hennie De Schepper, Roman Lavicka, Vladimir Soucek","cross_cats":["math.CA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-12T13:20:42Z","title":"Fundaments of Quaternionic Clifford Analysis I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2922","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:edc5a560a98b638200b3942f70df8e6f3a6ff0c6395134deea96cf033ff0fed3","target":"record","created_at":"2026-05-18T02:56:33Z","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":"854a9cde93113897e41f5718150024c53c4c01530fd9bc3611476510b321be43","cross_cats_sorted":["math.CA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-12T13:20:42Z","title_canon_sha256":"069e0c880bce82bb9f0b78d1143cdffd8baf93e4e2798c21e51c89e95cfb7f33"},"schema_version":"1.0","source":{"id":"1403.2922","kind":"arxiv","version":1}},"canonical_sha256":"9ab2cb5610607a41525d7f04ad2e63ae4feabb44e881b02572f59f59d5105f22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ab2cb5610607a41525d7f04ad2e63ae4feabb44e881b02572f59f59d5105f22","first_computed_at":"2026-05-18T02:56:33.588448Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:33.588448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lngBEk5//i39t8NtSA9HddKvP14pnR3g4rzAVHrYXCsmtr7vtLOpEo1AbeMqtIGwIbHaGjJ3x/Y6l2ot9D3UAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:33.589291Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2922","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edc5a560a98b638200b3942f70df8e6f3a6ff0c6395134deea96cf033ff0fed3","sha256:9453cde16ba442409abc59cda288586668ff3e94094d5ee19858364a7ac8bfe1"],"state_sha256":"20cc116b329433d4fa8145e4c9f1114c0e38619434912362bfe0c3fd59eadb69"}