{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EF2MG4IQ6KIJD6SQIV77A6OFKR","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":"b70f267fdc84fecddcabfb013807422647545a5372b094fb2187330049147a79","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-12T08:48:04Z","title_canon_sha256":"7b458f2daf950a8f050f2683cfd53b4204b15452db0701d903af28f323cb030c"},"schema_version":"1.0","source":{"id":"1710.04411","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.04411","created_at":"2026-05-18T00:19:26Z"},{"alias_kind":"arxiv_version","alias_value":"1710.04411v2","created_at":"2026-05-18T00:19:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04411","created_at":"2026-05-18T00:19:26Z"},{"alias_kind":"pith_short_12","alias_value":"EF2MG4IQ6KIJ","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EF2MG4IQ6KIJD6SQ","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EF2MG4IQ","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:8d41b3c768e66ad59df627469c6e9148a71065e5fb7f98ef9cbfd4b1804e926a","target":"graph","created_at":"2026-05-18T00:19:26Z","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":"The differential-equation eigenvalue problem associated with a recently-introduced Hamiltonian, whose eigenvalues correspond to the zeros of the Riemann zeta function, is analyzed using Fourier and WKB analysis. The Fourier analysis leads to a challenging open problem concerning the formulation of the eigenvalue problem in the momentum space. The WKB analysis gives the exact asymptotic behavior of the eigenfunction.","authors_text":"Carl M. Bender, Dorje C. Brody","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-12T08:48:04Z","title":"Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04411","kind":"arxiv","version":2},"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":"sha256:3596378c42debcfc1a7297cde21add66730917b0868e0b808ded46e39ed20b6b","target":"record","created_at":"2026-05-18T00:19:26Z","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":"b70f267fdc84fecddcabfb013807422647545a5372b094fb2187330049147a79","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-12T08:48:04Z","title_canon_sha256":"7b458f2daf950a8f050f2683cfd53b4204b15452db0701d903af28f323cb030c"},"schema_version":"1.0","source":{"id":"1710.04411","kind":"arxiv","version":2}},"canonical_sha256":"2174c37110f29091fa50457ff079c554582e241b387257689a05012bcede9a98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2174c37110f29091fa50457ff079c554582e241b387257689a05012bcede9a98","first_computed_at":"2026-05-18T00:19:26.264966Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:26.264966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BY7iQ/mdCsNFMykPfeaNY5Cv3SSn1vhVe+b7FTm4QV5JNkmtU0fAPSjuKRKhc9Z35H8a8iae22QiXElVsF24Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:26.265440Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.04411","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3596378c42debcfc1a7297cde21add66730917b0868e0b808ded46e39ed20b6b","sha256:8d41b3c768e66ad59df627469c6e9148a71065e5fb7f98ef9cbfd4b1804e926a"],"state_sha256":"457cda8d871ecfccfd79391655b83eeb5ed324efea1ee8cb9a0b479d69bca165"}