{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:SS7A6B6RU6FL7ITB4MXBF7ZMEB","short_pith_number":"pith:SS7A6B6R","canonical_record":{"source":{"id":"hep-ph/0203099","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-03-10T11:04:14Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"8a4e644f84a8011aa685f9dacb95a8e6e6729e60bb5ff72674eb32ff91ced2a3","abstract_canon_sha256":"46d7addc0e7ff64dd6a9714d201a36ee1944637ea81f8f45f3163572d388fb3f"},"schema_version":"1.0"},"canonical_sha256":"94be0f07d1a78abfa261e32e12ff2c20792c8eb3667098826a8a126cbdd0c634","source":{"kind":"arxiv","id":"hep-ph/0203099","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0203099","created_at":"2026-07-04T16:34:02Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0203099v2","created_at":"2026-07-04T16:34:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0203099","created_at":"2026-07-04T16:34:02Z"},{"alias_kind":"pith_short_12","alias_value":"SS7A6B6RU6FL","created_at":"2026-07-04T16:34:02Z"},{"alias_kind":"pith_short_16","alias_value":"SS7A6B6RU6FL7ITB","created_at":"2026-07-04T16:34:02Z"},{"alias_kind":"pith_short_8","alias_value":"SS7A6B6R","created_at":"2026-07-04T16:34:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:SS7A6B6RU6FL7ITB4MXBF7ZMEB","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0203099","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-03-10T11:04:14Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"8a4e644f84a8011aa685f9dacb95a8e6e6729e60bb5ff72674eb32ff91ced2a3","abstract_canon_sha256":"46d7addc0e7ff64dd6a9714d201a36ee1944637ea81f8f45f3163572d388fb3f"},"schema_version":"1.0"},"canonical_sha256":"94be0f07d1a78abfa261e32e12ff2c20792c8eb3667098826a8a126cbdd0c634","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:34:02.308960Z","signature_b64":"ZWUVycQpJBnT8wKoR/i5o89FyYlAmv6psv/ZDdVxlrFfiTEWL63dTlkqfGbtGr/Kwg7BCwl4YRzhZQnGRY18DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94be0f07d1a78abfa261e32e12ff2c20792c8eb3667098826a8a126cbdd0c634","last_reissued_at":"2026-07-04T16:34:02.308614Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:34:02.308614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0203099","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:34:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eqUISX2W9sTszgqhIu+y2+hv1WCbT8jEP0AlRub+8g4xBThM+sQBzdgVNDLkWwjAjWyL82SbpSns50Oz0xLvBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:40:13.230558Z"},"content_sha256":"cbda18f4d23af14c8cb7bff0383b2703bd3836dc6ceb7e92c38656e6ffe7bbf6","schema_version":"1.0","event_id":"sha256:cbda18f4d23af14c8cb7bff0383b2703bd3836dc6ceb7e92c38656e6ffe7bbf6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:SS7A6B6RU6FL7ITB4MXBF7ZMEB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Formula of Probability and CP Violation for Neutrino Oscillations in Matter","license":"","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"A. Takamura, H. Yokomakura, K. Kimura","submitted_at":"2002-03-10T11:04:14Z","abstract_excerpt":"Within the framework of the standard three neutrino scenario, we derive an exact and simple formula of the oscillation probability $P(\\nu_e \\to \\nu_{\\mu})$ in constant matter by using a new method. From this formula, it is found that the matter effects can be separated from the pure CP violation effects. Furthermore, the oscillation probability can be written in the form, $P(\\nu_e \\to \\nu_{\\mu})=A\\cos \\delta+B\\sin\\delta+C$, in the standard parametrization without any approximation. We also demonstrate that the approximate formula in high-energy can be easily reproduced from this as an example."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0203099","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0203099/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:34:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nNn91WQj7x/TJ0CW2gpUImFiGSaArrhMiUXi3ullpWR0yNUNee63Sy75AUMo0goxRv52ngAZ/Q4NoD8FMo1iBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:40:13.231115Z"},"content_sha256":"6e9ca490a79d230cd9971c12cef5b06a027c95b1dc1eee4e4696bf2de2cce617","schema_version":"1.0","event_id":"sha256:6e9ca490a79d230cd9971c12cef5b06a027c95b1dc1eee4e4696bf2de2cce617"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SS7A6B6RU6FL7ITB4MXBF7ZMEB/bundle.json","state_url":"https://pith.science/pith/SS7A6B6RU6FL7ITB4MXBF7ZMEB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SS7A6B6RU6FL7ITB4MXBF7ZMEB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-09T22:40:13Z","links":{"resolver":"https://pith.science/pith/SS7A6B6RU6FL7ITB4MXBF7ZMEB","bundle":"https://pith.science/pith/SS7A6B6RU6FL7ITB4MXBF7ZMEB/bundle.json","state":"https://pith.science/pith/SS7A6B6RU6FL7ITB4MXBF7ZMEB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SS7A6B6RU6FL7ITB4MXBF7ZMEB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:SS7A6B6RU6FL7ITB4MXBF7ZMEB","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":"46d7addc0e7ff64dd6a9714d201a36ee1944637ea81f8f45f3163572d388fb3f","cross_cats_sorted":["hep-ex"],"license":"","primary_cat":"hep-ph","submitted_at":"2002-03-10T11:04:14Z","title_canon_sha256":"8a4e644f84a8011aa685f9dacb95a8e6e6729e60bb5ff72674eb32ff91ced2a3"},"schema_version":"1.0","source":{"id":"hep-ph/0203099","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0203099","created_at":"2026-07-04T16:34:02Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0203099v2","created_at":"2026-07-04T16:34:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0203099","created_at":"2026-07-04T16:34:02Z"},{"alias_kind":"pith_short_12","alias_value":"SS7A6B6RU6FL","created_at":"2026-07-04T16:34:02Z"},{"alias_kind":"pith_short_16","alias_value":"SS7A6B6RU6FL7ITB","created_at":"2026-07-04T16:34:02Z"},{"alias_kind":"pith_short_8","alias_value":"SS7A6B6R","created_at":"2026-07-04T16:34:02Z"}],"graph_snapshots":[{"event_id":"sha256:6e9ca490a79d230cd9971c12cef5b06a027c95b1dc1eee4e4696bf2de2cce617","target":"graph","created_at":"2026-07-04T16:34:02Z","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/0203099/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Within the framework of the standard three neutrino scenario, we derive an exact and simple formula of the oscillation probability $P(\\nu_e \\to \\nu_{\\mu})$ in constant matter by using a new method. From this formula, it is found that the matter effects can be separated from the pure CP violation effects. Furthermore, the oscillation probability can be written in the form, $P(\\nu_e \\to \\nu_{\\mu})=A\\cos \\delta+B\\sin\\delta+C$, in the standard parametrization without any approximation. We also demonstrate that the approximate formula in high-energy can be easily reproduced from this as an example.","authors_text":"A. Takamura, H. Yokomakura, K. Kimura","cross_cats":["hep-ex"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2002-03-10T11:04:14Z","title":"Exact Formula of Probability and CP Violation for Neutrino Oscillations in Matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0203099","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:cbda18f4d23af14c8cb7bff0383b2703bd3836dc6ceb7e92c38656e6ffe7bbf6","target":"record","created_at":"2026-07-04T16:34:02Z","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":"46d7addc0e7ff64dd6a9714d201a36ee1944637ea81f8f45f3163572d388fb3f","cross_cats_sorted":["hep-ex"],"license":"","primary_cat":"hep-ph","submitted_at":"2002-03-10T11:04:14Z","title_canon_sha256":"8a4e644f84a8011aa685f9dacb95a8e6e6729e60bb5ff72674eb32ff91ced2a3"},"schema_version":"1.0","source":{"id":"hep-ph/0203099","kind":"arxiv","version":2}},"canonical_sha256":"94be0f07d1a78abfa261e32e12ff2c20792c8eb3667098826a8a126cbdd0c634","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94be0f07d1a78abfa261e32e12ff2c20792c8eb3667098826a8a126cbdd0c634","first_computed_at":"2026-07-04T16:34:02.308614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:34:02.308614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZWUVycQpJBnT8wKoR/i5o89FyYlAmv6psv/ZDdVxlrFfiTEWL63dTlkqfGbtGr/Kwg7BCwl4YRzhZQnGRY18DQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:34:02.308960Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0203099","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cbda18f4d23af14c8cb7bff0383b2703bd3836dc6ceb7e92c38656e6ffe7bbf6","sha256:6e9ca490a79d230cd9971c12cef5b06a027c95b1dc1eee4e4696bf2de2cce617"],"state_sha256":"cb4ffc16bc99c9f59efb615c0bd846c2b31c6eb50748ed21e0ae11ef3ae4a71e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8lq4dZ/pWAPQq3x+POceQdR2QBS1BCv0M2zRBosH/22Yk9bB/uj9LWEfkVNxadOodu0EKMR+bJK6RfNzHxE+Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T22:40:13.237166Z","bundle_sha256":"31e47c22fbe4ea5f0970ae7a4c9c27a5cf1315517ad9fbcdb00cc314ce29d0bf"}}