{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:SA5CGXVGC5JUCRYULAF4DJQDZH","short_pith_number":"pith:SA5CGXVG","canonical_record":{"source":{"id":"1105.2068","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-05-10T22:46:38Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"4c435f269b05849b54c3228493ce159c742fae88c8aa8ea788cd65654046f0df","abstract_canon_sha256":"be0940c302e76ed5728af831895b8884cbc6f1dc73c87f436d4580b4ab72fd45"},"schema_version":"1.0"},"canonical_sha256":"903a235ea61753414714580bc1a603c9fe55a298f3c7c22bd580d5d4162e4b1c","source":{"kind":"arxiv","id":"1105.2068","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2068","created_at":"2026-05-18T04:15:38Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2068v2","created_at":"2026-05-18T04:15:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2068","created_at":"2026-05-18T04:15:38Z"},{"alias_kind":"pith_short_12","alias_value":"SA5CGXVGC5JU","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SA5CGXVGC5JUCRYU","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SA5CGXVG","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:SA5CGXVGC5JUCRYULAF4DJQDZH","target":"record","payload":{"canonical_record":{"source":{"id":"1105.2068","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-05-10T22:46:38Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"4c435f269b05849b54c3228493ce159c742fae88c8aa8ea788cd65654046f0df","abstract_canon_sha256":"be0940c302e76ed5728af831895b8884cbc6f1dc73c87f436d4580b4ab72fd45"},"schema_version":"1.0"},"canonical_sha256":"903a235ea61753414714580bc1a603c9fe55a298f3c7c22bd580d5d4162e4b1c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:38.727285Z","signature_b64":"3YPUVUvJ8CHxKFlL1ri5WfW7YfrinDo86F5S/NbwrhXiW5yYr2wtWnHsujF3MczFR77AJb2yZP9Em/PygUDLDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"903a235ea61753414714580bc1a603c9fe55a298f3c7c22bd580d5d4162e4b1c","last_reissued_at":"2026-05-18T04:15:38.726194Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:38.726194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.2068","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":"2026-05-18T04:15:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GZpEVlQHzx0ywxaidDRZRlQa2tAlhHdgPcHzp7y0nhOclZhpeI/KMKW5dwKc1RI07D2aAcD9yv6muz9pFlHUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:09:36.915473Z"},"content_sha256":"ece15f2e43db1dea2a4bbfe745685bc011b2aeb43b262d9275ee3a988deb18dd","schema_version":"1.0","event_id":"sha256:ece15f2e43db1dea2a4bbfe745685bc011b2aeb43b262d9275ee3a988deb18dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:SA5CGXVGC5JUCRYULAF4DJQDZH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resonances Driven by a Neutrino Gyroscope and Collective Neutrino Oscillations in Supernovae","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"astro-ph.SR","authors_text":"Meng-Ru Wu, Yong-Zhong Qian (UMN)","submitted_at":"2011-05-10T22:46:38Z","abstract_excerpt":"We show that flavor evolution of a system of neutrinos with continuous energy spectra as in supernovae can be understood in terms of the response of individual neutrino flavor-isospins (NFIS's) to the mean field. In the case of a system initially consisting of nu_e and anti-nu_e with the same energy spectrum but different number densities, the mean field is very well approximated by the total angular momentum of a neutrino gyroscope. Assuming that NFIS evolution is independent of the initial neutrino emission angle, the so-called single-angle approximation, we find that the evolution is govern"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2068","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":"2026-05-18T04:15:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MhwsQv3bYcLG88rSkm6BPFXJlJEGh3UDZQNVMc+pvFgBtmBiaVMhaZyzAelD8Xy7qjVmE47qCwN9sQeFMjGXBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:09:36.916120Z"},"content_sha256":"5aa1875f4c0f68368e387e908aaeec956b1a5255260eb3b533287b62ccf3b5d1","schema_version":"1.0","event_id":"sha256:5aa1875f4c0f68368e387e908aaeec956b1a5255260eb3b533287b62ccf3b5d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SA5CGXVGC5JUCRYULAF4DJQDZH/bundle.json","state_url":"https://pith.science/pith/SA5CGXVGC5JUCRYULAF4DJQDZH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SA5CGXVGC5JUCRYULAF4DJQDZH/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":"2026-05-31T21:09:36Z","links":{"resolver":"https://pith.science/pith/SA5CGXVGC5JUCRYULAF4DJQDZH","bundle":"https://pith.science/pith/SA5CGXVGC5JUCRYULAF4DJQDZH/bundle.json","state":"https://pith.science/pith/SA5CGXVGC5JUCRYULAF4DJQDZH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SA5CGXVGC5JUCRYULAF4DJQDZH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SA5CGXVGC5JUCRYULAF4DJQDZH","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":"be0940c302e76ed5728af831895b8884cbc6f1dc73c87f436d4580b4ab72fd45","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-05-10T22:46:38Z","title_canon_sha256":"4c435f269b05849b54c3228493ce159c742fae88c8aa8ea788cd65654046f0df"},"schema_version":"1.0","source":{"id":"1105.2068","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2068","created_at":"2026-05-18T04:15:38Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2068v2","created_at":"2026-05-18T04:15:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2068","created_at":"2026-05-18T04:15:38Z"},{"alias_kind":"pith_short_12","alias_value":"SA5CGXVGC5JU","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SA5CGXVGC5JUCRYU","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SA5CGXVG","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:5aa1875f4c0f68368e387e908aaeec956b1a5255260eb3b533287b62ccf3b5d1","target":"graph","created_at":"2026-05-18T04:15:38Z","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 show that flavor evolution of a system of neutrinos with continuous energy spectra as in supernovae can be understood in terms of the response of individual neutrino flavor-isospins (NFIS's) to the mean field. In the case of a system initially consisting of nu_e and anti-nu_e with the same energy spectrum but different number densities, the mean field is very well approximated by the total angular momentum of a neutrino gyroscope. Assuming that NFIS evolution is independent of the initial neutrino emission angle, the so-called single-angle approximation, we find that the evolution is govern","authors_text":"Meng-Ru Wu, Yong-Zhong Qian (UMN)","cross_cats":["hep-ph","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-05-10T22:46:38Z","title":"Resonances Driven by a Neutrino Gyroscope and Collective Neutrino Oscillations in Supernovae"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2068","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:ece15f2e43db1dea2a4bbfe745685bc011b2aeb43b262d9275ee3a988deb18dd","target":"record","created_at":"2026-05-18T04:15:38Z","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":"be0940c302e76ed5728af831895b8884cbc6f1dc73c87f436d4580b4ab72fd45","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-05-10T22:46:38Z","title_canon_sha256":"4c435f269b05849b54c3228493ce159c742fae88c8aa8ea788cd65654046f0df"},"schema_version":"1.0","source":{"id":"1105.2068","kind":"arxiv","version":2}},"canonical_sha256":"903a235ea61753414714580bc1a603c9fe55a298f3c7c22bd580d5d4162e4b1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"903a235ea61753414714580bc1a603c9fe55a298f3c7c22bd580d5d4162e4b1c","first_computed_at":"2026-05-18T04:15:38.726194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:38.726194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3YPUVUvJ8CHxKFlL1ri5WfW7YfrinDo86F5S/NbwrhXiW5yYr2wtWnHsujF3MczFR77AJb2yZP9Em/PygUDLDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:38.727285Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.2068","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ece15f2e43db1dea2a4bbfe745685bc011b2aeb43b262d9275ee3a988deb18dd","sha256:5aa1875f4c0f68368e387e908aaeec956b1a5255260eb3b533287b62ccf3b5d1"],"state_sha256":"dcaa563f3f58b09f56652bb58b657660b6a9f6a2e4a07214a8634ede8f997dec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yyYW52FXxUk3p7d6/0opOSDzy6XqEj4SNawA4h/WxEdcV6A4if/mKbl1THWQEroC7Il0b9pA88X92McDuRSoBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T21:09:36.919602Z","bundle_sha256":"ff1c11e91dea33ba1dc40148c6bc3f4ce891697a48bd665c4f4b01026dc35d19"}}