{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:Q5UGSMA33QQQBVSU4FXVBCHC4E","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":"a6b6bb181b9992deb20d663f74694d01bebce15b17fb9f21aec5e3878c35a372","cross_cats_sorted":["astro-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2007-12-23T20:39:10Z","title_canon_sha256":"c62dffb6b7fed034dec309d1e2d72adf901e0c2d044ae946dfe03cfe9bff6bbd"},"schema_version":"1.0","source":{"id":"0712.3798","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.3798","created_at":"2026-07-04T17:19:54Z"},{"alias_kind":"arxiv_version","alias_value":"0712.3798v3","created_at":"2026-07-04T17:19:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.3798","created_at":"2026-07-04T17:19:54Z"},{"alias_kind":"pith_short_12","alias_value":"Q5UGSMA33QQQ","created_at":"2026-07-04T17:19:54Z"},{"alias_kind":"pith_short_16","alias_value":"Q5UGSMA33QQQBVSU","created_at":"2026-07-04T17:19:54Z"},{"alias_kind":"pith_short_8","alias_value":"Q5UGSMA3","created_at":"2026-07-04T17:19:54Z"}],"graph_snapshots":[{"event_id":"sha256:361ecc58769b12725e8bd924d99ecb0c4d88d1f828eeb52407beb874728edc36","target":"graph","created_at":"2026-07-04T17:19:54Z","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/0712.3798/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Neutrinos and antineutrinos emitted from a core collapse supernova interact among themselves, giving rise to collective flavor conversion effects that are significant near the neutrinosphere. We develop a formalism to analyze these collective effects in the complete three-flavor framework. It naturally generalizes the spin-precession analogy to three flavors and is capable of analytically describing phenomena like vacuum/MSW oscillations, synchronized oscillations, bipolar oscillations and spectral split. Using the formalism, we demonstrate that the flavor conversions may be \"factorized\" into ","authors_text":"Amol Dighe, Basudeb Dasgupta","cross_cats":["astro-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2007-12-23T20:39:10Z","title":"Collective three-flavor oscillations of supernova neutrinos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.3798","kind":"arxiv","version":3},"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":"sha256:3b717d48853c55b1ef990d09b22d24d9adaedc877cad04d4315d2db3c71acdca","target":"record","created_at":"2026-07-04T17:19:54Z","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":"a6b6bb181b9992deb20d663f74694d01bebce15b17fb9f21aec5e3878c35a372","cross_cats_sorted":["astro-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2007-12-23T20:39:10Z","title_canon_sha256":"c62dffb6b7fed034dec309d1e2d72adf901e0c2d044ae946dfe03cfe9bff6bbd"},"schema_version":"1.0","source":{"id":"0712.3798","kind":"arxiv","version":3}},"canonical_sha256":"876869301bdc2100d654e16f5088e2e13b4fd0b5dc1483228281f3b12fafd74c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"876869301bdc2100d654e16f5088e2e13b4fd0b5dc1483228281f3b12fafd74c","first_computed_at":"2026-07-04T17:19:54.028532Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:19:54.028532Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z4EdqtwiX4gC5sF6U6DfnL/AJtK4k9f6uYwa7L4PoVeIrJuuPVE7zN8KMFc/PyUG6l3DMosgMehVMgEiPtaMAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:19:54.028960Z","signed_message":"canonical_sha256_bytes"},"source_id":"0712.3798","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b717d48853c55b1ef990d09b22d24d9adaedc877cad04d4315d2db3c71acdca","sha256:361ecc58769b12725e8bd924d99ecb0c4d88d1f828eeb52407beb874728edc36"],"state_sha256":"8e93a9db3254ecc7757c213c6643d04cefbda222b9c673e831b76aa58b16c4ca"}