{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:VCEXFTNSOADLSAND6BHQ64OFXA","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":"0b2345bdd11765cd8426b8ec7b0192eebafce470ce68c625b409ef6f9a871301","cross_cats_sorted":["nlin.CD"],"license":"","primary_cat":"gr-qc","submitted_at":"2004-04-06T11:53:00Z","title_canon_sha256":"8279a7f9871b3952264b8aa25b634f1360e44585064ab14094d74a3ef212c2b1"},"schema_version":"1.0","source":{"id":"gr-qc/0404020","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0404020","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0404020v1","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0404020","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"pith_short_12","alias_value":"VCEXFTNSOADL","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"VCEXFTNSOADLSAND","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"VCEXFTNS","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:0164c39675bec33f370676bc5e6ceb0a71b9ca648f585d03d54f6e35a15747c5","target":"graph","created_at":"2026-05-18T00:45:30Z","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 compute numerically eigenvalues and eigenfunctions of the Laplacian in a three-dimensional hyperbolic space. Applying the results to cosmology, we demonstrate that the methods learned in quantum chaos can be used in other fields of research.","authors_text":"F. Steiner, H. Then, R. Aurich","cross_cats":["nlin.CD"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2004-04-06T11:53:00Z","title":"Numerical computation of Maass waveforms and an application to cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0404020","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":"sha256:9b1eb709e27bb8dd6e0a7100135e3caf02d7220418b52662bac621c2358f5ba3","target":"record","created_at":"2026-05-18T00:45:30Z","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":"0b2345bdd11765cd8426b8ec7b0192eebafce470ce68c625b409ef6f9a871301","cross_cats_sorted":["nlin.CD"],"license":"","primary_cat":"gr-qc","submitted_at":"2004-04-06T11:53:00Z","title_canon_sha256":"8279a7f9871b3952264b8aa25b634f1360e44585064ab14094d74a3ef212c2b1"},"schema_version":"1.0","source":{"id":"gr-qc/0404020","kind":"arxiv","version":1}},"canonical_sha256":"a88972cdb27006b901a3f04f0f71c5b81abd8b63d3674ad2857b8c12e48fd54c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a88972cdb27006b901a3f04f0f71c5b81abd8b63d3674ad2857b8c12e48fd54c","first_computed_at":"2026-05-18T00:45:30.858280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:30.858280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8QE7hI2nMSY/4SHwRQYGSlfnBu9Q5cu46ghEjTnYPr7qdaMUHLvQdRSRLND+u9YP/1/IHUbeusw2TkAkJ1+CDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:30.858682Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0404020","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b1eb709e27bb8dd6e0a7100135e3caf02d7220418b52662bac621c2358f5ba3","sha256:0164c39675bec33f370676bc5e6ceb0a71b9ca648f585d03d54f6e35a15747c5"],"state_sha256":"d5edbeee39eab84073ec1029e2e7a2b0e6845790b522bd513189a00e2cc47a4a"}