{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:ABKM5VBLIYGFUBZNJQG4YANJ4T","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":"5096041d883a83f8caad920d1b458cd5c4d9bf433f1ab31ddd381f4244759e34","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2000-08-14T16:58:28Z","title_canon_sha256":"2ad6b6b0c80115d5b28750d9c518a0749ad165196934d62847d7106ba4528375"},"schema_version":"1.0","source":{"id":"hep-ph/0008134","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0008134","created_at":"2026-07-04T15:20:46Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0008134v1","created_at":"2026-07-04T15:20:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0008134","created_at":"2026-07-04T15:20:46Z"},{"alias_kind":"pith_short_12","alias_value":"ABKM5VBLIYGF","created_at":"2026-07-04T15:20:46Z"},{"alias_kind":"pith_short_16","alias_value":"ABKM5VBLIYGFUBZN","created_at":"2026-07-04T15:20:46Z"},{"alias_kind":"pith_short_8","alias_value":"ABKM5VBL","created_at":"2026-07-04T15:20:46Z"}],"graph_snapshots":[{"event_id":"sha256:873dd328684f690a69845dad65d21220b4c0b644610bac823d8a6e4992600252","target":"graph","created_at":"2026-07-04T15:20:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-ph/0008134/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We review the Floquet theory of linear differential equations with periodic coefficients and discuss its applications to neutrino oscillations in matter of periodically varying density. In particular, we consider parametric resonance in neutrino oscillations which can occur in such media, and discuss implications for oscillations of neutrinos traversing the earth and passing through the earth's core.","authors_text":"E.Kh. Akhmedov","cross_cats":["astro-ph","hep-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2000-08-14T16:58:28Z","title":"Floquet theory of neutrino oscillations in the earth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0008134","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":"sha256:76575ebda84a1f75c11f69541da996b6c8862b4cf248f5a345bb5722aecf14f4","target":"record","created_at":"2026-07-04T15:20:46Z","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":"5096041d883a83f8caad920d1b458cd5c4d9bf433f1ab31ddd381f4244759e34","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2000-08-14T16:58:28Z","title_canon_sha256":"2ad6b6b0c80115d5b28750d9c518a0749ad165196934d62847d7106ba4528375"},"schema_version":"1.0","source":{"id":"hep-ph/0008134","kind":"arxiv","version":1}},"canonical_sha256":"0054ced42b460c5a072d4c0dcc01a9e4d74e2202017f999a493d15e4fb904169","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0054ced42b460c5a072d4c0dcc01a9e4d74e2202017f999a493d15e4fb904169","first_computed_at":"2026-07-04T15:20:46.436765Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:20:46.436765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jUgGeHARfw2AVZtJwYYelIbJdtEwW25371F81HuxPGuRn59/TGotfZQUJN56+wtTk2GHmOIyMorKgh/AoPO6Dw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:20:46.437163Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0008134","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76575ebda84a1f75c11f69541da996b6c8862b4cf248f5a345bb5722aecf14f4","sha256:873dd328684f690a69845dad65d21220b4c0b644610bac823d8a6e4992600252"],"state_sha256":"635d254990f81cb673f7a4b6653bbf14f6e913342b4830ccc1957676b4d4ca97"}