{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:VFNZJ6STVVEZO4T77EBWA274V2","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":"3c55631864bd6bd6f364497ccd80457afcaa09212d087139dcb08be2f481aebc","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-06-25T10:38:10Z","title_canon_sha256":"7792f1d2cbc22033897810e9e838d35caed3fa0342d92c75fc1266a4446dd647"},"schema_version":"1.0","source":{"id":"0906.4661","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.4661","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"arxiv_version","alias_value":"0906.4661v1","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.4661","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"pith_short_12","alias_value":"VFNZJ6STVVEZ","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VFNZJ6STVVEZO4T7","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VFNZJ6ST","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:d956e06a2832de7c017191a4d771a4101296abd527e4e62a1c5345ebb5223b7a","target":"graph","created_at":"2026-05-18T02:13:12Z","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":"An analysis is given of particlelike nonlinear bound states in the Newtonian limit of the coupled Einstein-Dirac system introduced by Finster, Smoller and Yau. A proof is given of existence of these bound states in the almost Newtonianian regime, and it is proved that they may be approximated by the energy minimizing solution of the Newton-Schr\\\"odinger system obtained by Lieb.","authors_text":"David Stuart","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-06-25T10:38:10Z","title":"Existence and Newtonian limit of nonlinear bound states in the Einstein-Dirac system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.4661","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":"sha256:5f53444517dad0ea7efe33ad1e0ba878638ab24ec9f1c92abc45bce1c1d9c104","target":"record","created_at":"2026-05-18T02:13:12Z","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":"3c55631864bd6bd6f364497ccd80457afcaa09212d087139dcb08be2f481aebc","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-06-25T10:38:10Z","title_canon_sha256":"7792f1d2cbc22033897810e9e838d35caed3fa0342d92c75fc1266a4446dd647"},"schema_version":"1.0","source":{"id":"0906.4661","kind":"arxiv","version":1}},"canonical_sha256":"a95b94fa53ad4997727ff903606bfcaeb302335b20fda732c3816eb7435b4cd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a95b94fa53ad4997727ff903606bfcaeb302335b20fda732c3816eb7435b4cd6","first_computed_at":"2026-05-18T02:13:12.772366Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:12.772366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CVenHEmtwBaSBvoXhog8NwLcT/Uxzsdhm/xnKtZJMRO59ZZRr2zo/e+GZQKn5jQIkRAiyG5SxMHZ+1AyvTU+BA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:12.772892Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.4661","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f53444517dad0ea7efe33ad1e0ba878638ab24ec9f1c92abc45bce1c1d9c104","sha256:d956e06a2832de7c017191a4d771a4101296abd527e4e62a1c5345ebb5223b7a"],"state_sha256":"deca8419ec3dc6b044e4946df96d374b3dabd750a1930ad009d1f2f52b42c88f"}