{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:I4VWLGGH2LCQFWDBYEKJVV6TA7","short_pith_number":"pith:I4VWLGGH","schema_version":"1.0","canonical_sha256":"472b6598c7d2c502d861c1149ad7d307ff9c15d3377db953e4324db0b7252d38","source":{"kind":"arxiv","id":"1706.09078","version":1},"attestation_state":"computed","paper":{"title":"Geometrodynamics: The Nonlinear Dynamics of Curved Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Kip S. Thorne, Mark A. Scheel","submitted_at":"2017-06-28T00:02:40Z","abstract_excerpt":"We review discoveries in the nonlinear dynamics of curved spacetime, largely made possible by numerical solutions of Einstein's equations. We discuss critical phenomena and self-similarity in gravitational collapse, the behavior of spacetime curvature near singularities, the instability of black strings in 5 spacetime dimensions, and the collision of four-dimensional black holes. We also discuss the prospects for further discoveries in geometrodynamics via observation of gravitational waves."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1706.09078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-06-28T00:02:40Z","cross_cats_sorted":[],"title_canon_sha256":"2327b16fcf796c6ec429175b908a5a6fe6c61a58818e22ca43d894d22c4952f0","abstract_canon_sha256":"fe55b1d08cbe2fe911dd6f4d814233c9e72d109232e931e3909d954ed8d25a2b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:19.965570Z","signature_b64":"yIOmZARFqCnLl4J+W3e6VU9MbXiUfU/zrJTZWgLDmhM6pvOzJf6dVzMefsljpsRU2CPFnip+rvvWkEkQTsS6BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"472b6598c7d2c502d861c1149ad7d307ff9c15d3377db953e4324db0b7252d38","last_reissued_at":"2026-05-18T00:41:19.964766Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:19.964766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometrodynamics: The Nonlinear Dynamics of Curved Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Kip S. Thorne, Mark A. Scheel","submitted_at":"2017-06-28T00:02:40Z","abstract_excerpt":"We review discoveries in the nonlinear dynamics of curved spacetime, largely made possible by numerical solutions of Einstein's equations. We discuss critical phenomena and self-similarity in gravitational collapse, the behavior of spacetime curvature near singularities, the instability of black strings in 5 spacetime dimensions, and the collision of four-dimensional black holes. We also discuss the prospects for further discoveries in geometrodynamics via observation of gravitational waves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.09078","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1706.09078","created_at":"2026-05-18T00:41:19.964914+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.09078v1","created_at":"2026-05-18T00:41:19.964914+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.09078","created_at":"2026-05-18T00:41:19.964914+00:00"},{"alias_kind":"pith_short_12","alias_value":"I4VWLGGH2LCQ","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"I4VWLGGH2LCQFWDB","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"I4VWLGGH","created_at":"2026-05-18T12:31:21.493067+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I4VWLGGH2LCQFWDBYEKJVV6TA7","json":"https://pith.science/pith/I4VWLGGH2LCQFWDBYEKJVV6TA7.json","graph_json":"https://pith.science/api/pith-number/I4VWLGGH2LCQFWDBYEKJVV6TA7/graph.json","events_json":"https://pith.science/api/pith-number/I4VWLGGH2LCQFWDBYEKJVV6TA7/events.json","paper":"https://pith.science/paper/I4VWLGGH"},"agent_actions":{"view_html":"https://pith.science/pith/I4VWLGGH2LCQFWDBYEKJVV6TA7","download_json":"https://pith.science/pith/I4VWLGGH2LCQFWDBYEKJVV6TA7.json","view_paper":"https://pith.science/paper/I4VWLGGH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.09078&json=true","fetch_graph":"https://pith.science/api/pith-number/I4VWLGGH2LCQFWDBYEKJVV6TA7/graph.json","fetch_events":"https://pith.science/api/pith-number/I4VWLGGH2LCQFWDBYEKJVV6TA7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I4VWLGGH2LCQFWDBYEKJVV6TA7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I4VWLGGH2LCQFWDBYEKJVV6TA7/action/storage_attestation","attest_author":"https://pith.science/pith/I4VWLGGH2LCQFWDBYEKJVV6TA7/action/author_attestation","sign_citation":"https://pith.science/pith/I4VWLGGH2LCQFWDBYEKJVV6TA7/action/citation_signature","submit_replication":"https://pith.science/pith/I4VWLGGH2LCQFWDBYEKJVV6TA7/action/replication_record"}},"created_at":"2026-05-18T00:41:19.964914+00:00","updated_at":"2026-05-18T00:41:19.964914+00:00"}