{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:3FL25TMBPGQXAAO5JGDHLHL5PY","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":"a25e8a924faa48a581c51c02baed47c169d179d29385c2edb70ce46c8f2d72ad","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1997-08-06T17:53:08Z","title_canon_sha256":"f7a95bd387836ce78488af04815d36a73a4816c96f08e0aa67e630a05bfc3436"},"schema_version":"1.0","source":{"id":"gr-qc/9708012","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9708012","created_at":"2026-05-18T01:08:07Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9708012v2","created_at":"2026-05-18T01:08:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9708012","created_at":"2026-05-18T01:08:07Z"},{"alias_kind":"pith_short_12","alias_value":"3FL25TMBPGQX","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"3FL25TMBPGQXAAO5","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"3FL25TMB","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:8c7382fd5635f4d56045a026f1e0e3db3872edbb5c60b1e74fccd4a4fd36f013","target":"graph","created_at":"2026-05-18T01:08:07Z","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":"We consider the Hamiltonian dynamics of spherically symmetric Einstein gravity with a thin null-dust shell, under boundary conditions that fix the evolution of the spatial hypersurfaces at the two asymptotically flat infinities of a Kruskal-like manifold. The constraints are eliminated via a Kuchar-type canonical transformation and Hamiltonian reduction. The reduced phase space $\\tilde\\Gamma$ consists of two disconnected copies of $R^4$, each associated with one direction of the shell motion. The right-moving and left-moving test shell limits can be attached to the respective components of $\\t","authors_text":"Bernard F. Whiting, John L. Friedman, Jorma Louko","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1997-08-06T17:53:08Z","title":"Hamiltonian spacetime dynamics with a spherical null-dust shell"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9708012","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":"sha256:92ae5d1376a05dd9fd80ba9a447fc531c84f65f200c07e8162975325342f1901","target":"record","created_at":"2026-05-18T01:08:07Z","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":"a25e8a924faa48a581c51c02baed47c169d179d29385c2edb70ce46c8f2d72ad","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1997-08-06T17:53:08Z","title_canon_sha256":"f7a95bd387836ce78488af04815d36a73a4816c96f08e0aa67e630a05bfc3436"},"schema_version":"1.0","source":{"id":"gr-qc/9708012","kind":"arxiv","version":2}},"canonical_sha256":"d957aecd8179a17001dd4986759d7d7e032fda4b76e728e3e560d3fba5a3eceb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d957aecd8179a17001dd4986759d7d7e032fda4b76e728e3e560d3fba5a3eceb","first_computed_at":"2026-05-18T01:08:07.816225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:07.816225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9OU8j0oETOK6ElpwzDb+qAFUAYcuRfCxj6acgDd4LWWc9cSx7kq7KixQEpHImZPTlhhRXQGhmdFIj0xCHo8+AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:07.816755Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9708012","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92ae5d1376a05dd9fd80ba9a447fc531c84f65f200c07e8162975325342f1901","sha256:8c7382fd5635f4d56045a026f1e0e3db3872edbb5c60b1e74fccd4a4fd36f013"],"state_sha256":"3a72e1333ee83ebeeda6f053ab83df7aa9f7e49a2ceb59c7229d540af601c9e8"}