{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VFYKHLIVKDIT4OE2YUGL7Y3SLA","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":"756f7c318c0ee9d673ba56f3e892b5a20e58f21013ef35688df0269e78676c1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-15T09:14:43Z","title_canon_sha256":"74545bdee2d1d3ffe87eaf4ae9e40da2ee57567672fde0d8c83ee7ec13e0047b"},"schema_version":"1.0","source":{"id":"1503.04402","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.04402","created_at":"2026-05-18T02:23:25Z"},{"alias_kind":"arxiv_version","alias_value":"1503.04402v1","created_at":"2026-05-18T02:23:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.04402","created_at":"2026-05-18T02:23:25Z"},{"alias_kind":"pith_short_12","alias_value":"VFYKHLIVKDIT","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VFYKHLIVKDIT4OE2","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VFYKHLIV","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:9fcb507e177b31ebe1cc7f7a81027a0a30f979698aedc7780c8b142c958202c5","target":"graph","created_at":"2026-05-18T02:23:25Z","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 propagation of strong gravitational waves interacting with a nonperturbative vacuum of spinor fields. To described the latter, we suggest an approximate model. The corresponding Einstein equation has the form of the Schr\\\"odinger equation. Its gravitational-wave solution is analogous to the solution of the Schr\\\"odinger equation for an electron moving in a periodic potential. The general solution for the periodic gravitational waves is found. The analog of the Kronig-Penney model for gravitational waves is considered. It is shown that the suggested gravitational-wave model perm","authors_text":"Vladimir Dzhunushaliev, Vladimir Folomeev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-15T09:14:43Z","title":"Modeling a nonperturbative spinor vacuum interacting with a strong gravitational wave"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.04402","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":"sha256:6a8688d8b14f3df77d033d6161277f2bf28208be17ac3b60999a25eb18454c2e","target":"record","created_at":"2026-05-18T02:23:25Z","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":"756f7c318c0ee9d673ba56f3e892b5a20e58f21013ef35688df0269e78676c1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-15T09:14:43Z","title_canon_sha256":"74545bdee2d1d3ffe87eaf4ae9e40da2ee57567672fde0d8c83ee7ec13e0047b"},"schema_version":"1.0","source":{"id":"1503.04402","kind":"arxiv","version":1}},"canonical_sha256":"a970a3ad1550d13e389ac50cbfe372582b7bd11d5f7f366093064217fe1cf2f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a970a3ad1550d13e389ac50cbfe372582b7bd11d5f7f366093064217fe1cf2f6","first_computed_at":"2026-05-18T02:23:25.154733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:25.154733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cpyeHFDOTjQ8yAMzuPY9vhOO9pJyq5Piu0B2EnZGII33V+f4zUvOH9cXMVR4pFia25rvNJhpcZSOsXJEubRyBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:25.155370Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.04402","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a8688d8b14f3df77d033d6161277f2bf28208be17ac3b60999a25eb18454c2e","sha256:9fcb507e177b31ebe1cc7f7a81027a0a30f979698aedc7780c8b142c958202c5"],"state_sha256":"04343e6583fc2a9ce73057566a4a0befd5ca8d01ff8458433f99211726c2d497"}