{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:MKIXMVIHUHQ4SPP24SVJYSIHNR","short_pith_number":"pith:MKIXMVIH","canonical_record":{"source":{"id":"hep-ph/0112138","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2001-12-10T17:30:30Z","cross_cats_sorted":[],"title_canon_sha256":"2c319e57d560302415115a0d85438487dde40c44b16f9b1aef3cb311e8a21b32","abstract_canon_sha256":"b127697c759088631c2b518a8143de5a74ba37852eb008684d131fb4cdb19501"},"schema_version":"1.0"},"canonical_sha256":"6291765507a1e1c93dfae4aa9c49076c7a6fe5ea4760ebc4e0dffa30b24e19ab","source":{"kind":"arxiv","id":"hep-ph/0112138","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0112138","created_at":"2026-07-04T16:27:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0112138v2","created_at":"2026-07-04T16:27:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0112138","created_at":"2026-07-04T16:27:42Z"},{"alias_kind":"pith_short_12","alias_value":"MKIXMVIHUHQ4","created_at":"2026-07-04T16:27:42Z"},{"alias_kind":"pith_short_16","alias_value":"MKIXMVIHUHQ4SPP2","created_at":"2026-07-04T16:27:42Z"},{"alias_kind":"pith_short_8","alias_value":"MKIXMVIH","created_at":"2026-07-04T16:27:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:MKIXMVIHUHQ4SPP24SVJYSIHNR","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0112138","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2001-12-10T17:30:30Z","cross_cats_sorted":[],"title_canon_sha256":"2c319e57d560302415115a0d85438487dde40c44b16f9b1aef3cb311e8a21b32","abstract_canon_sha256":"b127697c759088631c2b518a8143de5a74ba37852eb008684d131fb4cdb19501"},"schema_version":"1.0"},"canonical_sha256":"6291765507a1e1c93dfae4aa9c49076c7a6fe5ea4760ebc4e0dffa30b24e19ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:27:42.843836Z","signature_b64":"hQZv8ZArKdlX6EOzfiExTa3SmpJU9FcHR6baSCc9hIpSD4Qa3HJ+B/PWcn5x0MWJVH2rGFLjbAQCWT6PLVCfBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6291765507a1e1c93dfae4aa9c49076c7a6fe5ea4760ebc4e0dffa30b24e19ab","last_reissued_at":"2026-07-04T16:27:42.843430Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:27:42.843430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0112138","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":"2026-07-04T16:27:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BDu9pI/V6dJwofgusI3va9kghSWs4K9VfXyKh1nMrp6SKOOoMnhXJzPSFMg9TWgKb81fATJOtCVushwpTzXeDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T12:26:43.929883Z"},"content_sha256":"5707d62b7ed00ec7a8f84d7c35b1f9e187d824e0341996676469e9d39f38e47a","schema_version":"1.0","event_id":"sha256:5707d62b7ed00ec7a8f84d7c35b1f9e187d824e0341996676469e9d39f38e47a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:MKIXMVIHUHQ4SPP24SVJYSIHNR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effects of random matter density fluctuations on the neutrino oscillation transition probabilities in the Earth","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Bjorn Jacobsson, Hakan Snellman, Tommy Ohlsson, Walter Winter","submitted_at":"2001-12-10T17:30:30Z","abstract_excerpt":"In this paper, we investigate the effects of random fluctuations of the Earth matter density for long baselines on the neutrino oscillation transition probabilities. We especially identify relevant parameters characterizing the matter density noise and calculate their effects by averaging over statistical ensembles of a large number of matter density profiles. For energies and baselines appropriate to neutrino factories, absolute errors on the relevant appearance probabilities are at the level of $|\\Delta P_{\\alpha \\beta}| \\sim 10^{-4}$ (with perhaps $|\\Delta P_{\\mu e}|/P_{\\mu e} \\sim 1%$ for "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0112138","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/0112138/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":"2026-07-04T16:27:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fUTCy4gBqOKhcERVBCNmTbJa/++oR6LJMYCmsGMPITqA6el8Kik9fgeb1zJNryQmiN78iMHrRQ0zi1M1CCfcAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T12:26:43.930389Z"},"content_sha256":"83a04984a6c64b4ad5c0a13bdcbefba25415948cd7597e16f7e8f2212c8888e3","schema_version":"1.0","event_id":"sha256:83a04984a6c64b4ad5c0a13bdcbefba25415948cd7597e16f7e8f2212c8888e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MKIXMVIHUHQ4SPP24SVJYSIHNR/bundle.json","state_url":"https://pith.science/pith/MKIXMVIHUHQ4SPP24SVJYSIHNR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MKIXMVIHUHQ4SPP24SVJYSIHNR/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":"2026-08-18T12:26:43Z","links":{"resolver":"https://pith.science/pith/MKIXMVIHUHQ4SPP24SVJYSIHNR","bundle":"https://pith.science/pith/MKIXMVIHUHQ4SPP24SVJYSIHNR/bundle.json","state":"https://pith.science/pith/MKIXMVIHUHQ4SPP24SVJYSIHNR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MKIXMVIHUHQ4SPP24SVJYSIHNR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:MKIXMVIHUHQ4SPP24SVJYSIHNR","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":"b127697c759088631c2b518a8143de5a74ba37852eb008684d131fb4cdb19501","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2001-12-10T17:30:30Z","title_canon_sha256":"2c319e57d560302415115a0d85438487dde40c44b16f9b1aef3cb311e8a21b32"},"schema_version":"1.0","source":{"id":"hep-ph/0112138","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0112138","created_at":"2026-07-04T16:27:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0112138v2","created_at":"2026-07-04T16:27:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0112138","created_at":"2026-07-04T16:27:42Z"},{"alias_kind":"pith_short_12","alias_value":"MKIXMVIHUHQ4","created_at":"2026-07-04T16:27:42Z"},{"alias_kind":"pith_short_16","alias_value":"MKIXMVIHUHQ4SPP2","created_at":"2026-07-04T16:27:42Z"},{"alias_kind":"pith_short_8","alias_value":"MKIXMVIH","created_at":"2026-07-04T16:27:42Z"}],"graph_snapshots":[{"event_id":"sha256:83a04984a6c64b4ad5c0a13bdcbefba25415948cd7597e16f7e8f2212c8888e3","target":"graph","created_at":"2026-07-04T16:27:42Z","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/0112138/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we investigate the effects of random fluctuations of the Earth matter density for long baselines on the neutrino oscillation transition probabilities. We especially identify relevant parameters characterizing the matter density noise and calculate their effects by averaging over statistical ensembles of a large number of matter density profiles. For energies and baselines appropriate to neutrino factories, absolute errors on the relevant appearance probabilities are at the level of $|\\Delta P_{\\alpha \\beta}| \\sim 10^{-4}$ (with perhaps $|\\Delta P_{\\mu e}|/P_{\\mu e} \\sim 1%$ for ","authors_text":"Bjorn Jacobsson, Hakan Snellman, Tommy Ohlsson, Walter Winter","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2001-12-10T17:30:30Z","title":"Effects of random matter density fluctuations on the neutrino oscillation transition probabilities in the Earth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0112138","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":"sha256:5707d62b7ed00ec7a8f84d7c35b1f9e187d824e0341996676469e9d39f38e47a","target":"record","created_at":"2026-07-04T16:27:42Z","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":"b127697c759088631c2b518a8143de5a74ba37852eb008684d131fb4cdb19501","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2001-12-10T17:30:30Z","title_canon_sha256":"2c319e57d560302415115a0d85438487dde40c44b16f9b1aef3cb311e8a21b32"},"schema_version":"1.0","source":{"id":"hep-ph/0112138","kind":"arxiv","version":2}},"canonical_sha256":"6291765507a1e1c93dfae4aa9c49076c7a6fe5ea4760ebc4e0dffa30b24e19ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6291765507a1e1c93dfae4aa9c49076c7a6fe5ea4760ebc4e0dffa30b24e19ab","first_computed_at":"2026-07-04T16:27:42.843430Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:27:42.843430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hQZv8ZArKdlX6EOzfiExTa3SmpJU9FcHR6baSCc9hIpSD4Qa3HJ+B/PWcn5x0MWJVH2rGFLjbAQCWT6PLVCfBg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:27:42.843836Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0112138","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5707d62b7ed00ec7a8f84d7c35b1f9e187d824e0341996676469e9d39f38e47a","sha256:83a04984a6c64b4ad5c0a13bdcbefba25415948cd7597e16f7e8f2212c8888e3"],"state_sha256":"cfa88998f4f8f59896dc505f6cf515ebb3480dc2245bfc088dffd095a53c7292"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c+HV/+kQplRgcohtEr50T+0BRdu7cf2EIxNngLzXiHCCm17SET7VhWA0NRZ/ZvbTvOZ0zf52fnb4aon5HkmvAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T12:26:43.934136Z","bundle_sha256":"181735cfe7a5da715a4c4f1627a894aa845d4b5833383821b26fbaf5263e87c5"}}