{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:PG6KPIZC7RYTAIY4A2UBKXRDSF","short_pith_number":"pith:PG6KPIZC","schema_version":"1.0","canonical_sha256":"79bca7a322fc7130231c06a8155e2391515c8e7967cdd9b70dc0b8adc5a8468f","source":{"kind":"arxiv","id":"0705.1830","version":3},"attestation_state":"computed","paper":{"title":"Self-induced spectral splits in supernova neutrino fluxes","license":"","headline":"","cross_cats":["astro-ph","hep-ex"],"primary_cat":"hep-ph","authors_text":"Alexei Yu. Smirnov (ICTP Trieste), Georg G. Raffelt (MPI Physik)","submitted_at":"2007-05-13T13:20:24Z","abstract_excerpt":"In the dense-neutrino region above the neutrino sphere of a supernova (r > 400 km), neutrino-neutrino refraction causes collective flavor transformations. They can lead to \"spectral splits\" where an energy E_split splits the transformed spectrum sharply into parts of almost pure but different flavors. Unless there is an ordinary MSW resonance in the dense-neutrino region, E_split is determined by flavor-lepton number conservation alone. Spectral splits are created by an adiabatic transition between regions of large and small neutrino density. We solve the equations of motion in the adiabatic l"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0705.1830","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-05-13T13:20:24Z","cross_cats_sorted":["astro-ph","hep-ex"],"title_canon_sha256":"84ba85542df9b73173344462c679cb4319b373eb278ad884be9627d56132239c","abstract_canon_sha256":"efd2bf1d4866cb4709aea42208b4facf52537974884b338eda4d632e537a2d63"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:31.162155Z","signature_b64":"ewv47HmEEltqOCxxJR7gQtxtCWeortcDlV4UAKqktG8sSyUhz4QKdPnpHkXVYGD5aozLriTgmPz6SG50mTJ7AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79bca7a322fc7130231c06a8155e2391515c8e7967cdd9b70dc0b8adc5a8468f","last_reissued_at":"2026-05-18T02:35:31.161617Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:31.161617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Self-induced spectral splits in supernova neutrino fluxes","license":"","headline":"","cross_cats":["astro-ph","hep-ex"],"primary_cat":"hep-ph","authors_text":"Alexei Yu. Smirnov (ICTP Trieste), Georg G. Raffelt (MPI Physik)","submitted_at":"2007-05-13T13:20:24Z","abstract_excerpt":"In the dense-neutrino region above the neutrino sphere of a supernova (r > 400 km), neutrino-neutrino refraction causes collective flavor transformations. They can lead to \"spectral splits\" where an energy E_split splits the transformed spectrum sharply into parts of almost pure but different flavors. Unless there is an ordinary MSW resonance in the dense-neutrino region, E_split is determined by flavor-lepton number conservation alone. Spectral splits are created by an adiabatic transition between regions of large and small neutrino density. We solve the equations of motion in the adiabatic l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0705.1830","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0705.1830","created_at":"2026-05-18T02:35:31.161714+00:00"},{"alias_kind":"arxiv_version","alias_value":"0705.1830v3","created_at":"2026-05-18T02:35:31.161714+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0705.1830","created_at":"2026-05-18T02:35:31.161714+00:00"},{"alias_kind":"pith_short_12","alias_value":"PG6KPIZC7RYT","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"PG6KPIZC7RYTAIY4","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"PG6KPIZC","created_at":"2026-05-18T12:25:55.427421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.14333","citing_title":"Singular Perturbations of Hamilton-Jacobi Equations in the Wasserstein Space","ref_index":31,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PG6KPIZC7RYTAIY4A2UBKXRDSF","json":"https://pith.science/pith/PG6KPIZC7RYTAIY4A2UBKXRDSF.json","graph_json":"https://pith.science/api/pith-number/PG6KPIZC7RYTAIY4A2UBKXRDSF/graph.json","events_json":"https://pith.science/api/pith-number/PG6KPIZC7RYTAIY4A2UBKXRDSF/events.json","paper":"https://pith.science/paper/PG6KPIZC"},"agent_actions":{"view_html":"https://pith.science/pith/PG6KPIZC7RYTAIY4A2UBKXRDSF","download_json":"https://pith.science/pith/PG6KPIZC7RYTAIY4A2UBKXRDSF.json","view_paper":"https://pith.science/paper/PG6KPIZC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0705.1830&json=true","fetch_graph":"https://pith.science/api/pith-number/PG6KPIZC7RYTAIY4A2UBKXRDSF/graph.json","fetch_events":"https://pith.science/api/pith-number/PG6KPIZC7RYTAIY4A2UBKXRDSF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PG6KPIZC7RYTAIY4A2UBKXRDSF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PG6KPIZC7RYTAIY4A2UBKXRDSF/action/storage_attestation","attest_author":"https://pith.science/pith/PG6KPIZC7RYTAIY4A2UBKXRDSF/action/author_attestation","sign_citation":"https://pith.science/pith/PG6KPIZC7RYTAIY4A2UBKXRDSF/action/citation_signature","submit_replication":"https://pith.science/pith/PG6KPIZC7RYTAIY4A2UBKXRDSF/action/replication_record"}},"created_at":"2026-05-18T02:35:31.161714+00:00","updated_at":"2026-05-18T02:35:31.161714+00:00"}