{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:6LEIYDM6HR3RCXTHRKSNLVH6NB","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":"fe6917e5106b23c03476e8da1985543c7db78f71848f12a5754c61ac5f3ca57a","cross_cats_sorted":["astro-ph","hep-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2002-02-17T21:30:40Z","title_canon_sha256":"444df1f1230b9dfcb4d2719b9436357a96a39e9d5465452ddedeb0dc1cb90069"},"schema_version":"1.0","source":{"id":"gr-qc/0202061","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0202061","created_at":"2026-05-18T01:39:23Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0202061v2","created_at":"2026-05-18T01:39:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0202061","created_at":"2026-05-18T01:39:23Z"},{"alias_kind":"pith_short_12","alias_value":"6LEIYDM6HR3R","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"6LEIYDM6HR3RCXTH","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"6LEIYDM6","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:20e1c09a42dca69073af74c5b0298161ba67ef7fa281a3ef9a8e4b20c8847729","target":"graph","created_at":"2026-05-18T01:39:23Z","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":"Embedding of the brane metric into Euclidean (2+4)-space is found. Brane geometry can be visualized as the surface of the hyper-sphere in six dimensions which 'radius' is governed by the cosmological constant. Minkowski space in this picture is lied on the intersection of this surface with the plane formed by the extra space-like and time-like coordinates.","authors_text":"M. Gogberashvili","cross_cats":["astro-ph","hep-ph","hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2002-02-17T21:30:40Z","title":"Embedding of the Brane into Six Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0202061","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":"sha256:5695936736b63dcb2a6e0e55ded597fb30727f6ce2c4d739846f8e914b6cbc61","target":"record","created_at":"2026-05-18T01:39:23Z","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":"fe6917e5106b23c03476e8da1985543c7db78f71848f12a5754c61ac5f3ca57a","cross_cats_sorted":["astro-ph","hep-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2002-02-17T21:30:40Z","title_canon_sha256":"444df1f1230b9dfcb4d2719b9436357a96a39e9d5465452ddedeb0dc1cb90069"},"schema_version":"1.0","source":{"id":"gr-qc/0202061","kind":"arxiv","version":2}},"canonical_sha256":"f2c88c0d9e3c77115e678aa4d5d4fe685bd2bc7d466b590ea94b8107b393a8b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2c88c0d9e3c77115e678aa4d5d4fe685bd2bc7d466b590ea94b8107b393a8b6","first_computed_at":"2026-05-18T01:39:23.843068Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:23.843068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zeT/vr0M7zYZ+Ey5Jrfwtj1GiXWxibRYAqnGe49NA3AyiXJSXr15ml83a1lpNHgmUVMdIRPZrAr7TxTmz91eAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:23.843673Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0202061","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5695936736b63dcb2a6e0e55ded597fb30727f6ce2c4d739846f8e914b6cbc61","sha256:20e1c09a42dca69073af74c5b0298161ba67ef7fa281a3ef9a8e4b20c8847729"],"state_sha256":"3925053eaf0c33305836d2b3db964166eb266f390245ac3d8d868d21aedf8a60"}