{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ATUAISX2OCHQW4VABCGBQL4SYI","short_pith_number":"pith:ATUAISX2","canonical_record":{"source":{"id":"1406.5489","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-06-19T13:48:43Z","cross_cats_sorted":["astro-ph.CO","nucl-th"],"title_canon_sha256":"9febd66ffde7a5e08d637e1080927c83b46d13489620c8b4f7842da78bd948ef","abstract_canon_sha256":"0338b52ccefc92cf5b3b4ac757b096d9e96a4b57429232033c0d2e682d6a6bfb"},"schema_version":"1.0"},"canonical_sha256":"04e8044afa708f0b72a0088c182f92c21733c6d85c887313f20d2564e005f362","source":{"kind":"arxiv","id":"1406.5489","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5489","created_at":"2026-05-18T01:42:52Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5489v1","created_at":"2026-05-18T01:42:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5489","created_at":"2026-05-18T01:42:52Z"},{"alias_kind":"pith_short_12","alias_value":"ATUAISX2OCHQ","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"ATUAISX2OCHQW4VA","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"ATUAISX2","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ATUAISX2OCHQW4VABCGBQL4SYI","target":"record","payload":{"canonical_record":{"source":{"id":"1406.5489","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-06-19T13:48:43Z","cross_cats_sorted":["astro-ph.CO","nucl-th"],"title_canon_sha256":"9febd66ffde7a5e08d637e1080927c83b46d13489620c8b4f7842da78bd948ef","abstract_canon_sha256":"0338b52ccefc92cf5b3b4ac757b096d9e96a4b57429232033c0d2e682d6a6bfb"},"schema_version":"1.0"},"canonical_sha256":"04e8044afa708f0b72a0088c182f92c21733c6d85c887313f20d2564e005f362","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:52.299596Z","signature_b64":"aMzTvDt2JC1hYIVEIZO/qt+8/mh1IIjGujf9ZKL9a8uxQgbVfpR5FA7oVPduxplT867biWG7b8EORu9biLUaCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04e8044afa708f0b72a0088c182f92c21733c6d85c887313f20d2564e005f362","last_reissued_at":"2026-05-18T01:42:52.298923Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:52.298923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.5489","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:42:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HPIt6bckYDZ9r9We7wibybwh8l7jOJOI95HF7cyCcJA6jc6SD2Nz2CXqz5d+U36oxzR1u4dkJvXvq21Bk43oBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:42:32.690369Z"},"content_sha256":"bab9962ebca7b8f9b7c92f842fe2b0f3959043da4aaedf6249fd3f8447d77a1d","schema_version":"1.0","event_id":"sha256:bab9962ebca7b8f9b7c92f842fe2b0f3959043da4aaedf6249fd3f8447d77a1d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ATUAISX2OCHQW4VABCGBQL4SYI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Neutrino Magnetic Moment, CP Violation and Flavor Oscillations in Matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","nucl-th"],"primary_cat":"hep-ph","authors_text":"A. B. Balantekin, Toshitaka Kajino, Y. Pehlivan","submitted_at":"2014-06-19T13:48:43Z","abstract_excerpt":"We consider collective oscillations of neutrinos, which are emergent nonlinear flavor evolution phenomena instigated by neutrino-neutrino interactions in astrophysical environments with sufficiently high neutrino densities. We investigate the symmetries of the problem in the full three flavor mixing scheme and in the exact many-body formulation by including the effects of CP violation and neutrino magnetic moment. We show that, similar to the two flavor scheme, several dynamical symmetries exist for three flavors in the single-angle approximation if the net electron background in the environme"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5489","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:42:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JRRPrYTkslB2Hd3sKi1OAnohIryCQjFtkODPuP0HJGRfCLAoSAWG2W/YQZAyTHK/ffLvdpJHVFr7kOm7urxYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:42:32.691068Z"},"content_sha256":"6119e00c9b07232d837c862f94945bd3ab7ccba36f43afbae73c53baeb9c089a","schema_version":"1.0","event_id":"sha256:6119e00c9b07232d837c862f94945bd3ab7ccba36f43afbae73c53baeb9c089a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ATUAISX2OCHQW4VABCGBQL4SYI/bundle.json","state_url":"https://pith.science/pith/ATUAISX2OCHQW4VABCGBQL4SYI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ATUAISX2OCHQW4VABCGBQL4SYI/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":"2026-05-25T23:42:32Z","links":{"resolver":"https://pith.science/pith/ATUAISX2OCHQW4VABCGBQL4SYI","bundle":"https://pith.science/pith/ATUAISX2OCHQW4VABCGBQL4SYI/bundle.json","state":"https://pith.science/pith/ATUAISX2OCHQW4VABCGBQL4SYI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ATUAISX2OCHQW4VABCGBQL4SYI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ATUAISX2OCHQW4VABCGBQL4SYI","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":"0338b52ccefc92cf5b3b4ac757b096d9e96a4b57429232033c0d2e682d6a6bfb","cross_cats_sorted":["astro-ph.CO","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-06-19T13:48:43Z","title_canon_sha256":"9febd66ffde7a5e08d637e1080927c83b46d13489620c8b4f7842da78bd948ef"},"schema_version":"1.0","source":{"id":"1406.5489","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5489","created_at":"2026-05-18T01:42:52Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5489v1","created_at":"2026-05-18T01:42:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5489","created_at":"2026-05-18T01:42:52Z"},{"alias_kind":"pith_short_12","alias_value":"ATUAISX2OCHQ","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"ATUAISX2OCHQW4VA","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"ATUAISX2","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:6119e00c9b07232d837c862f94945bd3ab7ccba36f43afbae73c53baeb9c089a","target":"graph","created_at":"2026-05-18T01:42:52Z","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 consider collective oscillations of neutrinos, which are emergent nonlinear flavor evolution phenomena instigated by neutrino-neutrino interactions in astrophysical environments with sufficiently high neutrino densities. We investigate the symmetries of the problem in the full three flavor mixing scheme and in the exact many-body formulation by including the effects of CP violation and neutrino magnetic moment. We show that, similar to the two flavor scheme, several dynamical symmetries exist for three flavors in the single-angle approximation if the net electron background in the environme","authors_text":"A. B. Balantekin, Toshitaka Kajino, Y. Pehlivan","cross_cats":["astro-ph.CO","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-06-19T13:48:43Z","title":"Neutrino Magnetic Moment, CP Violation and Flavor Oscillations in Matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5489","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:bab9962ebca7b8f9b7c92f842fe2b0f3959043da4aaedf6249fd3f8447d77a1d","target":"record","created_at":"2026-05-18T01:42:52Z","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":"0338b52ccefc92cf5b3b4ac757b096d9e96a4b57429232033c0d2e682d6a6bfb","cross_cats_sorted":["astro-ph.CO","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-06-19T13:48:43Z","title_canon_sha256":"9febd66ffde7a5e08d637e1080927c83b46d13489620c8b4f7842da78bd948ef"},"schema_version":"1.0","source":{"id":"1406.5489","kind":"arxiv","version":1}},"canonical_sha256":"04e8044afa708f0b72a0088c182f92c21733c6d85c887313f20d2564e005f362","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04e8044afa708f0b72a0088c182f92c21733c6d85c887313f20d2564e005f362","first_computed_at":"2026-05-18T01:42:52.298923Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:52.298923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aMzTvDt2JC1hYIVEIZO/qt+8/mh1IIjGujf9ZKL9a8uxQgbVfpR5FA7oVPduxplT867biWG7b8EORu9biLUaCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:52.299596Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5489","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bab9962ebca7b8f9b7c92f842fe2b0f3959043da4aaedf6249fd3f8447d77a1d","sha256:6119e00c9b07232d837c862f94945bd3ab7ccba36f43afbae73c53baeb9c089a"],"state_sha256":"bd3a334c4b306882db5e753c69dbe78540377bf6ae61efc585e96b5488e119d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iYyE5YXWMKEeAfUNSe240d9WAwr43T7V0MPpOUktBy00P1Y7L+JrklcM3MhgKLkXCKmLlZyLnMeIWXtMCSqACA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:42:32.694777Z","bundle_sha256":"2eb1cad388f3599445648afbc8dfb9e9133315a9ebd72836fb91c5a3a97c20f8"}}