{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:B3NORKCOGNR67XFCWQAKDTYUYA","short_pith_number":"pith:B3NORKCO","canonical_record":{"source":{"id":"1412.7097","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-22T18:58:10Z","cross_cats_sorted":["astro-ph.HE","nucl-th"],"title_canon_sha256":"a91ad38c4c09ff9c7d7da741eed3d3c80090a6f24c9332eb61707059eb244300","abstract_canon_sha256":"f204075acbe66a2ba983e058500cbcb8d4351e9a2c4bdb541341ea7ab81b2c3e"},"schema_version":"1.0"},"canonical_sha256":"0edae8a84e3363efdca2b400a1cf14c03ad4b30342afaf793851f2b412c28260","source":{"kind":"arxiv","id":"1412.7097","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7097","created_at":"2026-05-18T01:58:27Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7097v2","created_at":"2026-05-18T01:58:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7097","created_at":"2026-05-18T01:58:27Z"},{"alias_kind":"pith_short_12","alias_value":"B3NORKCOGNR6","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"B3NORKCOGNR67XFC","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"B3NORKCO","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:B3NORKCOGNR67XFCWQAKDTYUYA","target":"record","payload":{"canonical_record":{"source":{"id":"1412.7097","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-22T18:58:10Z","cross_cats_sorted":["astro-ph.HE","nucl-th"],"title_canon_sha256":"a91ad38c4c09ff9c7d7da741eed3d3c80090a6f24c9332eb61707059eb244300","abstract_canon_sha256":"f204075acbe66a2ba983e058500cbcb8d4351e9a2c4bdb541341ea7ab81b2c3e"},"schema_version":"1.0"},"canonical_sha256":"0edae8a84e3363efdca2b400a1cf14c03ad4b30342afaf793851f2b412c28260","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:27.020150Z","signature_b64":"zKafI9pPN+YeghEXXLAziLHZlwFKT/1TGzAU0d/8BxhoE6XkwovilmOJnQJ2dTNkxKc8JgGULj4uHjoRHpnbBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0edae8a84e3363efdca2b400a1cf14c03ad4b30342afaf793851f2b412c28260","last_reissued_at":"2026-05-18T01:58:27.019703Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:27.019703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.7097","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":"2026-05-18T01:58:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zMn1B3ZXeK2OrnSbWwi5j2ZKq/NYV+0EPHss0UX1Pcuk9OWQML9DZAs6kubPAlGu7r/xP5ND5Or+07Hk1e9FCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T19:52:27.930487Z"},"content_sha256":"a6f064ba93e601af80814990d13455a6c7082cf9b79a8203ca45f58225178070","schema_version":"1.0","event_id":"sha256:a6f064ba93e601af80814990d13455a6c7082cf9b79a8203ca45f58225178070"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:B3NORKCOGNR67XFCWQAKDTYUYA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flavor instabilities in the neutrino line model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","nucl-th"],"primary_cat":"hep-ph","authors_text":"Huaiyu Duan, Shashank Shalgar","submitted_at":"2014-12-22T18:58:10Z","abstract_excerpt":"A dense neutrino medium can experience collective flavor oscillations through nonlinear neutrino-neutrino refraction. To make this multi-dimensional flavor transport problem more tractable, all existing studies have assumed certain symmetries (e.g., the spatial homogeneity and directional isotropy in the early universe) to reduce the dimensionality of the problem. In this work we show that, if both the directional and spatial symmetries are not enforced in the neutrino line model, collective oscillations can develop in the physical regimes where the symmetry-preserving oscillation modes are st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7097","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":"2026-05-18T01:58:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K2m1AgBuSNlDOZu+Wzd+vPYc3MTdEDUahcWqWx8RBjzBzWDIyAoiakLynUmcxcZ2Qx0dQQ32CoBr1lrb6HVVBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T19:52:27.930832Z"},"content_sha256":"db07f011ebcaef708baa6e19759da153862c63f823b150dff502bafb43fb80e3","schema_version":"1.0","event_id":"sha256:db07f011ebcaef708baa6e19759da153862c63f823b150dff502bafb43fb80e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B3NORKCOGNR67XFCWQAKDTYUYA/bundle.json","state_url":"https://pith.science/pith/B3NORKCOGNR67XFCWQAKDTYUYA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B3NORKCOGNR67XFCWQAKDTYUYA/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":"2026-06-28T19:52:27Z","links":{"resolver":"https://pith.science/pith/B3NORKCOGNR67XFCWQAKDTYUYA","bundle":"https://pith.science/pith/B3NORKCOGNR67XFCWQAKDTYUYA/bundle.json","state":"https://pith.science/pith/B3NORKCOGNR67XFCWQAKDTYUYA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B3NORKCOGNR67XFCWQAKDTYUYA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:B3NORKCOGNR67XFCWQAKDTYUYA","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":"f204075acbe66a2ba983e058500cbcb8d4351e9a2c4bdb541341ea7ab81b2c3e","cross_cats_sorted":["astro-ph.HE","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-22T18:58:10Z","title_canon_sha256":"a91ad38c4c09ff9c7d7da741eed3d3c80090a6f24c9332eb61707059eb244300"},"schema_version":"1.0","source":{"id":"1412.7097","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7097","created_at":"2026-05-18T01:58:27Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7097v2","created_at":"2026-05-18T01:58:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7097","created_at":"2026-05-18T01:58:27Z"},{"alias_kind":"pith_short_12","alias_value":"B3NORKCOGNR6","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"B3NORKCOGNR67XFC","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"B3NORKCO","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:db07f011ebcaef708baa6e19759da153862c63f823b150dff502bafb43fb80e3","target":"graph","created_at":"2026-05-18T01:58:27Z","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":"A dense neutrino medium can experience collective flavor oscillations through nonlinear neutrino-neutrino refraction. To make this multi-dimensional flavor transport problem more tractable, all existing studies have assumed certain symmetries (e.g., the spatial homogeneity and directional isotropy in the early universe) to reduce the dimensionality of the problem. In this work we show that, if both the directional and spatial symmetries are not enforced in the neutrino line model, collective oscillations can develop in the physical regimes where the symmetry-preserving oscillation modes are st","authors_text":"Huaiyu Duan, Shashank Shalgar","cross_cats":["astro-ph.HE","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-22T18:58:10Z","title":"Flavor instabilities in the neutrino line model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7097","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:a6f064ba93e601af80814990d13455a6c7082cf9b79a8203ca45f58225178070","target":"record","created_at":"2026-05-18T01:58:27Z","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":"f204075acbe66a2ba983e058500cbcb8d4351e9a2c4bdb541341ea7ab81b2c3e","cross_cats_sorted":["astro-ph.HE","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-22T18:58:10Z","title_canon_sha256":"a91ad38c4c09ff9c7d7da741eed3d3c80090a6f24c9332eb61707059eb244300"},"schema_version":"1.0","source":{"id":"1412.7097","kind":"arxiv","version":2}},"canonical_sha256":"0edae8a84e3363efdca2b400a1cf14c03ad4b30342afaf793851f2b412c28260","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0edae8a84e3363efdca2b400a1cf14c03ad4b30342afaf793851f2b412c28260","first_computed_at":"2026-05-18T01:58:27.019703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:27.019703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zKafI9pPN+YeghEXXLAziLHZlwFKT/1TGzAU0d/8BxhoE6XkwovilmOJnQJ2dTNkxKc8JgGULj4uHjoRHpnbBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:27.020150Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.7097","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6f064ba93e601af80814990d13455a6c7082cf9b79a8203ca45f58225178070","sha256:db07f011ebcaef708baa6e19759da153862c63f823b150dff502bafb43fb80e3"],"state_sha256":"2b2aaa86ad73c7031b9e2a3abd238be04a0f758437e6e516a82ec47a7568723d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IkQ7GkyLNh4hqNMg24ebjRHWBTHKdKM8mUC3pyJ7EWruELiN7DF1jGksOcqILQousaUvAzI0dpit9sYI5tjDBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T19:52:27.932751Z","bundle_sha256":"dfb0b44eb940f4a861170d3c06589b7b4b7963db0649c1228cbf8189a185a3d5"}}