{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GGQRP54DOMYCIA7DVLPQUDGLCQ","short_pith_number":"pith:GGQRP54D","canonical_record":{"source":{"id":"1409.4669","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-09-16T15:10:25Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"78a90c1f424121115fc80411e70e3973b036e6a5c767bac590da001146b95aaf","abstract_canon_sha256":"45b5562d3a3e50031b0ae661c00904a2b0eff8ff45c654fd87c12d6f84ddf48f"},"schema_version":"1.0"},"canonical_sha256":"31a117f78373302403e3aadf0a0ccb14383b092f94c4f4194d45b648eafe0a53","source":{"kind":"arxiv","id":"1409.4669","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.4669","created_at":"2026-05-18T01:36:51Z"},{"alias_kind":"arxiv_version","alias_value":"1409.4669v2","created_at":"2026-05-18T01:36:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.4669","created_at":"2026-05-18T01:36:51Z"},{"alias_kind":"pith_short_12","alias_value":"GGQRP54DOMYC","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GGQRP54DOMYCIA7D","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GGQRP54D","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GGQRP54DOMYCIA7DVLPQUDGLCQ","target":"record","payload":{"canonical_record":{"source":{"id":"1409.4669","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-09-16T15:10:25Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"78a90c1f424121115fc80411e70e3973b036e6a5c767bac590da001146b95aaf","abstract_canon_sha256":"45b5562d3a3e50031b0ae661c00904a2b0eff8ff45c654fd87c12d6f84ddf48f"},"schema_version":"1.0"},"canonical_sha256":"31a117f78373302403e3aadf0a0ccb14383b092f94c4f4194d45b648eafe0a53","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:51.576275Z","signature_b64":"POYtOnbwqj0cL/Kr/0CG/jetl95rm9FJ9rlVKyV0ZzmmBV7Br6HUh3rTWEAHCMbiQhTQuhgosCE1trC3Yt7yBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31a117f78373302403e3aadf0a0ccb14383b092f94c4f4194d45b648eafe0a53","last_reissued_at":"2026-05-18T01:36:51.575791Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:51.575791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.4669","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":"2026-05-18T01:36:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"901Cjlrr2lUxRoMQSr9PKrhjtKHZUNjph+M1WNpPazY8o1HQy5RlNjlq3nozQ6wNvxMXJVzeS0+aO6Jx2w0sBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:04:44.568109Z"},"content_sha256":"305f316df156306c41b93e9b506009f2fa995c9dba6e2d59eec5e83a56296641","schema_version":"1.0","event_id":"sha256:305f316df156306c41b93e9b506009f2fa995c9dba6e2d59eec5e83a56296641"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GGQRP54DOMYCIA7DVLPQUDGLCQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Covariant asymmetric wave packet for a field-theoretical description of neutrino oscillations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"hep-ph","authors_text":"D.S. Shkirmanov, V.A. Naumov","submitted_at":"2014-09-16T15:10:25Z","abstract_excerpt":"We consider a class of models for the relativistic covariant wave packets which can be used as asymptotically free in and out states in the quantum field theoretical formalisms for description of the neutrino flavor oscillation phenomenon. We demonstrate that the new \"asymmetric\" wave packet (AWP) is an appropriate alternative for the more convenient \"symmetric\" wave packets, like the so-called relativistic Gaussian packet (RGP) widely used in the QFT-based approaches to neutrino oscillations. We show that RGP is not a particular case of AWP, although many properties of these models are almost"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.4669","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":""},"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":"2026-05-18T01:36:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AHnJSUt9o3p56dkB80IAnKP075TX29nhsvQKZJ+tdE47LhTiCHNoewPj96HAK4ZHEcIpspG5wlXoJsHDyfxDAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:04:44.568546Z"},"content_sha256":"33c743c68fd8714e1b9d614aadf65e1742187d08294fbf9342408a2f73f1d7a8","schema_version":"1.0","event_id":"sha256:33c743c68fd8714e1b9d614aadf65e1742187d08294fbf9342408a2f73f1d7a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GGQRP54DOMYCIA7DVLPQUDGLCQ/bundle.json","state_url":"https://pith.science/pith/GGQRP54DOMYCIA7DVLPQUDGLCQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GGQRP54DOMYCIA7DVLPQUDGLCQ/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":"2026-06-03T16:04:44Z","links":{"resolver":"https://pith.science/pith/GGQRP54DOMYCIA7DVLPQUDGLCQ","bundle":"https://pith.science/pith/GGQRP54DOMYCIA7DVLPQUDGLCQ/bundle.json","state":"https://pith.science/pith/GGQRP54DOMYCIA7DVLPQUDGLCQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GGQRP54DOMYCIA7DVLPQUDGLCQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GGQRP54DOMYCIA7DVLPQUDGLCQ","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":"45b5562d3a3e50031b0ae661c00904a2b0eff8ff45c654fd87c12d6f84ddf48f","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-09-16T15:10:25Z","title_canon_sha256":"78a90c1f424121115fc80411e70e3973b036e6a5c767bac590da001146b95aaf"},"schema_version":"1.0","source":{"id":"1409.4669","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.4669","created_at":"2026-05-18T01:36:51Z"},{"alias_kind":"arxiv_version","alias_value":"1409.4669v2","created_at":"2026-05-18T01:36:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.4669","created_at":"2026-05-18T01:36:51Z"},{"alias_kind":"pith_short_12","alias_value":"GGQRP54DOMYC","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GGQRP54DOMYCIA7D","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GGQRP54D","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:33c743c68fd8714e1b9d614aadf65e1742187d08294fbf9342408a2f73f1d7a8","target":"graph","created_at":"2026-05-18T01:36:51Z","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 a class of models for the relativistic covariant wave packets which can be used as asymptotically free in and out states in the quantum field theoretical formalisms for description of the neutrino flavor oscillation phenomenon. We demonstrate that the new \"asymmetric\" wave packet (AWP) is an appropriate alternative for the more convenient \"symmetric\" wave packets, like the so-called relativistic Gaussian packet (RGP) widely used in the QFT-based approaches to neutrino oscillations. We show that RGP is not a particular case of AWP, although many properties of these models are almost","authors_text":"D.S. Shkirmanov, V.A. Naumov","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-09-16T15:10:25Z","title":"Covariant asymmetric wave packet for a field-theoretical description of neutrino oscillations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.4669","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":"sha256:305f316df156306c41b93e9b506009f2fa995c9dba6e2d59eec5e83a56296641","target":"record","created_at":"2026-05-18T01:36:51Z","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":"45b5562d3a3e50031b0ae661c00904a2b0eff8ff45c654fd87c12d6f84ddf48f","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-09-16T15:10:25Z","title_canon_sha256":"78a90c1f424121115fc80411e70e3973b036e6a5c767bac590da001146b95aaf"},"schema_version":"1.0","source":{"id":"1409.4669","kind":"arxiv","version":2}},"canonical_sha256":"31a117f78373302403e3aadf0a0ccb14383b092f94c4f4194d45b648eafe0a53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31a117f78373302403e3aadf0a0ccb14383b092f94c4f4194d45b648eafe0a53","first_computed_at":"2026-05-18T01:36:51.575791Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:51.575791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"POYtOnbwqj0cL/Kr/0CG/jetl95rm9FJ9rlVKyV0ZzmmBV7Br6HUh3rTWEAHCMbiQhTQuhgosCE1trC3Yt7yBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:51.576275Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.4669","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:305f316df156306c41b93e9b506009f2fa995c9dba6e2d59eec5e83a56296641","sha256:33c743c68fd8714e1b9d614aadf65e1742187d08294fbf9342408a2f73f1d7a8"],"state_sha256":"7ae8cb4c87beab27ca7efc896883867f4bd5e783b4ab091514594df3a72c1044"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DvsgRJHzufG7GUUBFqVHXjm2tnl8nChObL7ZuUcku5zF+VIEOb+PKATIr6zCjfxHaEhy3wiMKxpM9RhhlHEYBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:04:44.570569Z","bundle_sha256":"0aeb7e85793aca72e2e85d2dfb2872a8b5a429447eda247d3435b20782b43669"}}