{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:ISK6LOCU3UQI6H2KFS57JVI5YY","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":"57453b32a32bf9a393844176b8ade24b4bd7e11458165df88439bd2851dff979","cross_cats_sorted":[],"license":"","primary_cat":"math.CV","submitted_at":"2007-08-05T21:01:43Z","title_canon_sha256":"3cfd7b4ba5ba9f08c0022d45ac6de4efde18e2f76085d32a4edddc4bd2a9794f"},"schema_version":"1.0","source":{"id":"0708.0689","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.0689","created_at":"2026-05-18T02:58:12Z"},{"alias_kind":"arxiv_version","alias_value":"0708.0689v1","created_at":"2026-05-18T02:58:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.0689","created_at":"2026-05-18T02:58:12Z"},{"alias_kind":"pith_short_12","alias_value":"ISK6LOCU3UQI","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"ISK6LOCU3UQI6H2K","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"ISK6LOCU","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:3db86b5d830c23ca434f179ed973bafcbdce53223b44a9182c8b26d78f3ad48a","target":"graph","created_at":"2026-05-18T02:58:12Z","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":"The tetrablock is a domain in 3-dimensional complex space that meets 3-dimensional Euclidean space in a regular tetrahedron. It is shown to be inhomogeneous and its automorphism group is determined. A type of Schwarz lemma for the tetrablock is proved. The action of the automorphism group is described in terms of a certain natural foliation of the tetrablock by complex geodesic discs.","authors_text":"N. J. Young","cross_cats":[],"headline":"","license":"","primary_cat":"math.CV","submitted_at":"2007-08-05T21:01:43Z","title":"The automorphism group of the tetrablock"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.0689","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":"sha256:2411329c687cf53e0258c0752ea3730e8fa48a7f725613c6ec327a93b3d5359b","target":"record","created_at":"2026-05-18T02:58:12Z","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":"57453b32a32bf9a393844176b8ade24b4bd7e11458165df88439bd2851dff979","cross_cats_sorted":[],"license":"","primary_cat":"math.CV","submitted_at":"2007-08-05T21:01:43Z","title_canon_sha256":"3cfd7b4ba5ba9f08c0022d45ac6de4efde18e2f76085d32a4edddc4bd2a9794f"},"schema_version":"1.0","source":{"id":"0708.0689","kind":"arxiv","version":1}},"canonical_sha256":"4495e5b854dd208f1f4a2cbbf4d51dc602a17bc1606cc163e89b12e954528202","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4495e5b854dd208f1f4a2cbbf4d51dc602a17bc1606cc163e89b12e954528202","first_computed_at":"2026-05-18T02:58:12.444968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:12.444968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tPLJrChbqjOd36mUawlSEA86IOblXD0OJOIqiomUhh27JEI9mk0TzQ/qlnV8K6SlujN2vx9OxBomLtQGfqGyAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:12.445822Z","signed_message":"canonical_sha256_bytes"},"source_id":"0708.0689","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2411329c687cf53e0258c0752ea3730e8fa48a7f725613c6ec327a93b3d5359b","sha256:3db86b5d830c23ca434f179ed973bafcbdce53223b44a9182c8b26d78f3ad48a"],"state_sha256":"3bc2c866af4b1d03f12b0d568dd0fb2f5496abf65b3da8f55de5f77d4cbaf7ba"}