{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:2BEDEZX2I5N7PRLIJU7XDLQVDG","short_pith_number":"pith:2BEDEZX2","canonical_record":{"source":{"id":"1801.09751","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-01-29T20:52:48Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"1d3a702dc298f187a99a8a5927ac21e126ab024fb01cd58acdc75b86ea9bb71a","abstract_canon_sha256":"08d0248414598904ce5005b2d345470a0d8d92bba75eb95d908f3f9a50b29557"},"schema_version":"1.0"},"canonical_sha256":"d0483266fa475bf7c5684d3f71ae151986e6194e3d1ccf00bfd57dd158ada7f2","source":{"kind":"arxiv","id":"1801.09751","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.09751","created_at":"2026-05-18T00:17:05Z"},{"alias_kind":"arxiv_version","alias_value":"1801.09751v2","created_at":"2026-05-18T00:17:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09751","created_at":"2026-05-18T00:17:05Z"},{"alias_kind":"pith_short_12","alias_value":"2BEDEZX2I5N7","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"2BEDEZX2I5N7PRLI","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"2BEDEZX2","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:2BEDEZX2I5N7PRLIJU7XDLQVDG","target":"record","payload":{"canonical_record":{"source":{"id":"1801.09751","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-01-29T20:52:48Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"1d3a702dc298f187a99a8a5927ac21e126ab024fb01cd58acdc75b86ea9bb71a","abstract_canon_sha256":"08d0248414598904ce5005b2d345470a0d8d92bba75eb95d908f3f9a50b29557"},"schema_version":"1.0"},"canonical_sha256":"d0483266fa475bf7c5684d3f71ae151986e6194e3d1ccf00bfd57dd158ada7f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:05.226871Z","signature_b64":"QImCafyf8oNJZ1jFSGl1szHVGqNrlnHTvntIOOtcAGkeerAQMHjrsos3lZSscy/L0ZsTMstZFeraV2p81EMnDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0483266fa475bf7c5684d3f71ae151986e6194e3d1ccf00bfd57dd158ada7f2","last_reissued_at":"2026-05-18T00:17:05.226040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:05.226040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.09751","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":"2026-05-18T00:17:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D7oo1vFoQd0J6yDXmEBtqqpMQyEoMgBO6RsRTEkeQpAP29uJVGMYt1bB/nlE8UpUDdIrDNMJ7SyVR/npzHYoCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:44:11.377984Z"},"content_sha256":"b8fabbba54ffb9b4e6333e8bb74567246ae1f38172980498918c905b0bee5602","schema_version":"1.0","event_id":"sha256:b8fabbba54ffb9b4e6333e8bb74567246ae1f38172980498918c905b0bee5602"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:2BEDEZX2I5N7PRLIJU7XDLQVDG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Neutrino conversion in a neutrino flux: Towards an effective theory of collective oscillations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"hep-ph","authors_text":"Alexei Yu. Smirnov, Rasmus S. L. Hansen","submitted_at":"2018-01-29T20:52:48Z","abstract_excerpt":"Collective oscillations of supernova neutrinos above the neutrino sphere can be completely described by the propagation of individual neutrinos in external potentials and are in this sense a linear phenomenon. An effective theory of collective oscillations can be developed based on certain assumptions about time dependence of these potentials. General conditions for strong flavor transformations are formulated and these transformations can be interpreted as parametric resonance effects induced by periodic modulations of the potentials. We study a simplified and solvable example, where a probe "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09751","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":"2026-05-18T00:17:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fHn+nMC98HfHMOSpgKMBnel5g/HHMGx0H7RCLU0LA4Q0CwPUDSUJ4pIDX4k6DmwN2IDz/yYpsfcArnlFERBgAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:44:11.378418Z"},"content_sha256":"20ed1e41c78c7c1071edc9f8f089a97138b33424c7b417941c38f4c1727d7176","schema_version":"1.0","event_id":"sha256:20ed1e41c78c7c1071edc9f8f089a97138b33424c7b417941c38f4c1727d7176"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2BEDEZX2I5N7PRLIJU7XDLQVDG/bundle.json","state_url":"https://pith.science/pith/2BEDEZX2I5N7PRLIJU7XDLQVDG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2BEDEZX2I5N7PRLIJU7XDLQVDG/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":"2026-06-05T00:44:11Z","links":{"resolver":"https://pith.science/pith/2BEDEZX2I5N7PRLIJU7XDLQVDG","bundle":"https://pith.science/pith/2BEDEZX2I5N7PRLIJU7XDLQVDG/bundle.json","state":"https://pith.science/pith/2BEDEZX2I5N7PRLIJU7XDLQVDG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2BEDEZX2I5N7PRLIJU7XDLQVDG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2BEDEZX2I5N7PRLIJU7XDLQVDG","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":"08d0248414598904ce5005b2d345470a0d8d92bba75eb95d908f3f9a50b29557","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-01-29T20:52:48Z","title_canon_sha256":"1d3a702dc298f187a99a8a5927ac21e126ab024fb01cd58acdc75b86ea9bb71a"},"schema_version":"1.0","source":{"id":"1801.09751","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.09751","created_at":"2026-05-18T00:17:05Z"},{"alias_kind":"arxiv_version","alias_value":"1801.09751v2","created_at":"2026-05-18T00:17:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09751","created_at":"2026-05-18T00:17:05Z"},{"alias_kind":"pith_short_12","alias_value":"2BEDEZX2I5N7","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"2BEDEZX2I5N7PRLI","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"2BEDEZX2","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:20ed1e41c78c7c1071edc9f8f089a97138b33424c7b417941c38f4c1727d7176","target":"graph","created_at":"2026-05-18T00:17:05Z","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":"Collective oscillations of supernova neutrinos above the neutrino sphere can be completely described by the propagation of individual neutrinos in external potentials and are in this sense a linear phenomenon. An effective theory of collective oscillations can be developed based on certain assumptions about time dependence of these potentials. General conditions for strong flavor transformations are formulated and these transformations can be interpreted as parametric resonance effects induced by periodic modulations of the potentials. We study a simplified and solvable example, where a probe ","authors_text":"Alexei Yu. Smirnov, Rasmus S. L. Hansen","cross_cats":["astro-ph.HE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-01-29T20:52:48Z","title":"Neutrino conversion in a neutrino flux: Towards an effective theory of collective oscillations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09751","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:b8fabbba54ffb9b4e6333e8bb74567246ae1f38172980498918c905b0bee5602","target":"record","created_at":"2026-05-18T00:17:05Z","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":"08d0248414598904ce5005b2d345470a0d8d92bba75eb95d908f3f9a50b29557","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-01-29T20:52:48Z","title_canon_sha256":"1d3a702dc298f187a99a8a5927ac21e126ab024fb01cd58acdc75b86ea9bb71a"},"schema_version":"1.0","source":{"id":"1801.09751","kind":"arxiv","version":2}},"canonical_sha256":"d0483266fa475bf7c5684d3f71ae151986e6194e3d1ccf00bfd57dd158ada7f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0483266fa475bf7c5684d3f71ae151986e6194e3d1ccf00bfd57dd158ada7f2","first_computed_at":"2026-05-18T00:17:05.226040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:05.226040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QImCafyf8oNJZ1jFSGl1szHVGqNrlnHTvntIOOtcAGkeerAQMHjrsos3lZSscy/L0ZsTMstZFeraV2p81EMnDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:05.226871Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.09751","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8fabbba54ffb9b4e6333e8bb74567246ae1f38172980498918c905b0bee5602","sha256:20ed1e41c78c7c1071edc9f8f089a97138b33424c7b417941c38f4c1727d7176"],"state_sha256":"49c93ff8f4b62a71240f589b11d23765a4a56983ea609016c4928875ff4e1d9d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LCQ6fZDtVIdXrz8UQuKqZ2232RKOAgtoO4RgiSgacAyT6KDjwQwh+n/OVQvvogVt6XoKG0gUdlxl24tC7HwoDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T00:44:11.380416Z","bundle_sha256":"2348bb7745fc0f08a5696017c42e0a7fb83cb7e7ae0366d11264250295b44cbb"}}