{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:M7ZOT54MDKPLCDHGKCITWMLHSE","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":"d43c3e82926c7d25f9f25f2c84f3eed0145ac54ceb88ebee06220607d877c954","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-12-10T16:47:57Z","title_canon_sha256":"7cace446b8fec018b7e421bcf4b6de22aa0a814dcd92e4c6d0ec8c90f60cc1c8"},"schema_version":"1.0","source":{"id":"hep-th/9712105","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9712105","created_at":"2026-07-04T15:23:17Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9712105v2","created_at":"2026-07-04T15:23:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9712105","created_at":"2026-07-04T15:23:17Z"},{"alias_kind":"pith_short_12","alias_value":"M7ZOT54MDKPL","created_at":"2026-07-04T15:23:17Z"},{"alias_kind":"pith_short_16","alias_value":"M7ZOT54MDKPLCDHG","created_at":"2026-07-04T15:23:17Z"},{"alias_kind":"pith_short_8","alias_value":"M7ZOT54M","created_at":"2026-07-04T15:23:17Z"}],"graph_snapshots":[{"event_id":"sha256:6a3c03613f0c24dd80a98e12a284c632bec41ae3d4e6700d0d97c2429d742388","target":"graph","created_at":"2026-07-04T15:23:17Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/9712105/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a construction in Matrix theory of longitudinal 5-branes whose geometry in transverse space corresponds to a 4-sphere. We describe these branes through an explicit construction in terms of N*N matrices for a particular infinite series of values of N. The matrices used in the construction have a number of properties which can be interpreted in terms of the 4-sphere geometry, in analogy with similar properties of the SU(2) generators used in the construction of a spherical membrane. The physical properties of these systems correspond with those expected from M-theory; in particular, t","authors_text":"Judith Castelino, Sangmin Lee, Washington Taylor","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1997-12-10T16:47:57Z","title":"Longitudinal 5-branes as 4-spheres in Matrix theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9712105","kind":"arxiv","version":2},"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":"sha256:391feb37bc83245217b0f9bebe9940e7e359e206fff8f2292c538e4572be6f15","target":"record","created_at":"2026-07-04T15:23:17Z","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":"d43c3e82926c7d25f9f25f2c84f3eed0145ac54ceb88ebee06220607d877c954","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-12-10T16:47:57Z","title_canon_sha256":"7cace446b8fec018b7e421bcf4b6de22aa0a814dcd92e4c6d0ec8c90f60cc1c8"},"schema_version":"1.0","source":{"id":"hep-th/9712105","kind":"arxiv","version":2}},"canonical_sha256":"67f2e9f78c1a9eb10ce650913b3167910b2f6e31dfe5130cd0715479f356221f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67f2e9f78c1a9eb10ce650913b3167910b2f6e31dfe5130cd0715479f356221f","first_computed_at":"2026-07-04T15:23:17.479027Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:23:17.479027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mberasg+q+C+PzQY548OelSjA6dKJIpSI5Olo1dUxuUPgsLa4iHS/Y1Zdn4fsb8YtmS4IsP+2VyApXMpB1d8CA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:23:17.479488Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9712105","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:391feb37bc83245217b0f9bebe9940e7e359e206fff8f2292c538e4572be6f15","sha256:6a3c03613f0c24dd80a98e12a284c632bec41ae3d4e6700d0d97c2429d742388"],"state_sha256":"601b864329c39e64fb8f1bf01801319beab3b50916a31730319e03256e62a51c"}