{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NWVN6SDV7P55E6NRWKPACZJ6N4","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":"d5546c3b7604a7b8927b8f6d7b93058c413892ed8080d2219177313c1fe352cf","cross_cats_sorted":["gr-qc","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-12-18T22:14:59Z","title_canon_sha256":"fa439c8008a26e1a40c652bb5023262e957e9730d81358c39ee83d51b54f25e9"},"schema_version":"1.0","source":{"id":"1312.5356","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.5356","created_at":"2026-05-18T03:04:08Z"},{"alias_kind":"arxiv_version","alias_value":"1312.5356v1","created_at":"2026-05-18T03:04:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.5356","created_at":"2026-05-18T03:04:08Z"},{"alias_kind":"pith_short_12","alias_value":"NWVN6SDV7P55","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NWVN6SDV7P55E6NR","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NWVN6SDV","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:ad8eb04c0b2a0e15b788556c43e5cd4d4e93e04861ad5821c6ba46b112ba7c36","target":"graph","created_at":"2026-05-18T03:04:08Z","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":"A new hyperelliptic solution class for the hyperbolic Ernst equation is obtained by transforming the regarding solution of the elliptic Ernst equation. Furthermore, a nontrivial way for obtaining general polarized colliding wave solutions from this hyperelliptic family of solutions is presented. The explicit form of the solutions for a Riemann surface of genus n=1 is given. In addition, an explicit example in terms of a Khan-Penrose seed is provided, emphasizing the importance of the presented procedure for generating general polarized colliding plane-wave space times from space-times with a c","authors_text":"Sebastian Moeckel","cross_cats":["gr-qc","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-12-18T22:14:59Z","title":"A hyperelliptic solution class for the hyperbolic Ernst equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5356","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:d68424abbf442b9b894ec7df3401174394ff2436f9f7e040c293165e89c0bd12","target":"record","created_at":"2026-05-18T03:04:08Z","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":"d5546c3b7604a7b8927b8f6d7b93058c413892ed8080d2219177313c1fe352cf","cross_cats_sorted":["gr-qc","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-12-18T22:14:59Z","title_canon_sha256":"fa439c8008a26e1a40c652bb5023262e957e9730d81358c39ee83d51b54f25e9"},"schema_version":"1.0","source":{"id":"1312.5356","kind":"arxiv","version":1}},"canonical_sha256":"6daadf4875fbfbd279b1b29e01653e6f1ec98953cd4f3bbdfae5ec7051def007","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6daadf4875fbfbd279b1b29e01653e6f1ec98953cd4f3bbdfae5ec7051def007","first_computed_at":"2026-05-18T03:04:08.015339Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:08.015339Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lB0UHBwVy1mj4o0eGG+rMnUBmIHJKh3+eMOlFPeIgCXkNYKf3gP87ONan3JxMVLVTwvsmN5eSE1/A+A6EfWeCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:08.015945Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.5356","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d68424abbf442b9b894ec7df3401174394ff2436f9f7e040c293165e89c0bd12","sha256:ad8eb04c0b2a0e15b788556c43e5cd4d4e93e04861ad5821c6ba46b112ba7c36"],"state_sha256":"38ce779162ca58039319a687f8b231c202d700b47c2e49b1db588c322f486d74"}