{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:5VGPSSWW62W6KNURNL74W26MRZ","short_pith_number":"pith:5VGPSSWW","canonical_record":{"source":{"id":"1506.08629","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-29T13:58:48Z","cross_cats_sorted":["astro-ph.HE","nucl-th"],"title_canon_sha256":"1c7ae41d57ef162a090a68f74e87c5cb266bb929810b840f35bbfface7896bf4","abstract_canon_sha256":"5ef927e7ab52a38d62e0aae0addc46a427e083bd532efe65dbc44e6b5c753713"},"schema_version":"1.0"},"canonical_sha256":"ed4cf94ad6f6ade536916affcb6bcc8e69d4e5a8d9f5cbb045ce4353d08495af","source":{"kind":"arxiv","id":"1506.08629","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.08629","created_at":"2026-05-18T01:33:31Z"},{"alias_kind":"arxiv_version","alias_value":"1506.08629v1","created_at":"2026-05-18T01:33:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08629","created_at":"2026-05-18T01:33:31Z"},{"alias_kind":"pith_short_12","alias_value":"5VGPSSWW62W6","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"5VGPSSWW62W6KNUR","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"5VGPSSWW","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:5VGPSSWW62W6KNURNL74W26MRZ","target":"record","payload":{"canonical_record":{"source":{"id":"1506.08629","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-29T13:58:48Z","cross_cats_sorted":["astro-ph.HE","nucl-th"],"title_canon_sha256":"1c7ae41d57ef162a090a68f74e87c5cb266bb929810b840f35bbfface7896bf4","abstract_canon_sha256":"5ef927e7ab52a38d62e0aae0addc46a427e083bd532efe65dbc44e6b5c753713"},"schema_version":"1.0"},"canonical_sha256":"ed4cf94ad6f6ade536916affcb6bcc8e69d4e5a8d9f5cbb045ce4353d08495af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:31.931956Z","signature_b64":"Gx0re+VsCAPBvqWmkdAxNjHieil/GyhC/xxB8Ppdm4PHBz2U2rGGWxYYmCFnUQPnqmerl4LMsRT+UfWn/GR3DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed4cf94ad6f6ade536916affcb6bcc8e69d4e5a8d9f5cbb045ce4353d08495af","last_reissued_at":"2026-05-18T01:33:31.931288Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:31.931288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.08629","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:33:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9ty/ycjdSPzY0Nq6kg/jl0/kdwZTbjFlR/aBpqj1ta2G0218mpcZs05TjhX4AJz1EJLqc6UeJUJnMv3Ec9ZvCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T09:38:04.571313Z"},"content_sha256":"211ba62ff74a74f1e728f082fae03d7596b6c290d92acbca6528ed9e6332c6e0","schema_version":"1.0","event_id":"sha256:211ba62ff74a74f1e728f082fae03d7596b6c290d92acbca6528ed9e6332c6e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:5VGPSSWW62W6KNURNL74W26MRZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collective neutrino oscillations and spontaneous symmetry breaking","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 (UNM)","submitted_at":"2015-06-29T13:58:48Z","abstract_excerpt":"Neutrino oscillations in a hot and dense astrophysical environment such as a core-collapse supernova pose a challenging, seven-dimensional flavor transport problem. To make the problem even more difficult (and interesting), neutrinos can experience collective oscillations through nonlinear refraction in the dense neutrino medium in this environment. Significant progress has been made in the last decade towards the understanding of collective neutrino oscillations in various simplified neutrino gas models with imposed symmetries and reduced dimensions. However, a series of recent studies seem t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08629","kind":"arxiv","version":1},"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":"2026-05-18T01:33:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nztu6V1+7kA4gou0LkyAW0yuhuMZvyXWEYgkfQwWnxOG5ysiLVly8gpqwpeRHqugCDwo2al/jMMBTQ5A16BFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T09:38:04.571670Z"},"content_sha256":"267df685c54bd8b9dea9d3c251d9eeeaf559098678e86b85787c007ddd34189e","schema_version":"1.0","event_id":"sha256:267df685c54bd8b9dea9d3c251d9eeeaf559098678e86b85787c007ddd34189e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5VGPSSWW62W6KNURNL74W26MRZ/bundle.json","state_url":"https://pith.science/pith/5VGPSSWW62W6KNURNL74W26MRZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5VGPSSWW62W6KNURNL74W26MRZ/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":"2026-06-11T09:38:04Z","links":{"resolver":"https://pith.science/pith/5VGPSSWW62W6KNURNL74W26MRZ","bundle":"https://pith.science/pith/5VGPSSWW62W6KNURNL74W26MRZ/bundle.json","state":"https://pith.science/pith/5VGPSSWW62W6KNURNL74W26MRZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5VGPSSWW62W6KNURNL74W26MRZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5VGPSSWW62W6KNURNL74W26MRZ","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":"5ef927e7ab52a38d62e0aae0addc46a427e083bd532efe65dbc44e6b5c753713","cross_cats_sorted":["astro-ph.HE","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-29T13:58:48Z","title_canon_sha256":"1c7ae41d57ef162a090a68f74e87c5cb266bb929810b840f35bbfface7896bf4"},"schema_version":"1.0","source":{"id":"1506.08629","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.08629","created_at":"2026-05-18T01:33:31Z"},{"alias_kind":"arxiv_version","alias_value":"1506.08629v1","created_at":"2026-05-18T01:33:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08629","created_at":"2026-05-18T01:33:31Z"},{"alias_kind":"pith_short_12","alias_value":"5VGPSSWW62W6","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"5VGPSSWW62W6KNUR","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"5VGPSSWW","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:267df685c54bd8b9dea9d3c251d9eeeaf559098678e86b85787c007ddd34189e","target":"graph","created_at":"2026-05-18T01:33:31Z","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":"Neutrino oscillations in a hot and dense astrophysical environment such as a core-collapse supernova pose a challenging, seven-dimensional flavor transport problem. To make the problem even more difficult (and interesting), neutrinos can experience collective oscillations through nonlinear refraction in the dense neutrino medium in this environment. Significant progress has been made in the last decade towards the understanding of collective neutrino oscillations in various simplified neutrino gas models with imposed symmetries and reduced dimensions. However, a series of recent studies seem t","authors_text":"Huaiyu Duan (UNM)","cross_cats":["astro-ph.HE","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-29T13:58:48Z","title":"Collective neutrino oscillations and spontaneous symmetry breaking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08629","kind":"arxiv","version":1},"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":"sha256:211ba62ff74a74f1e728f082fae03d7596b6c290d92acbca6528ed9e6332c6e0","target":"record","created_at":"2026-05-18T01:33:31Z","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":"5ef927e7ab52a38d62e0aae0addc46a427e083bd532efe65dbc44e6b5c753713","cross_cats_sorted":["astro-ph.HE","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-29T13:58:48Z","title_canon_sha256":"1c7ae41d57ef162a090a68f74e87c5cb266bb929810b840f35bbfface7896bf4"},"schema_version":"1.0","source":{"id":"1506.08629","kind":"arxiv","version":1}},"canonical_sha256":"ed4cf94ad6f6ade536916affcb6bcc8e69d4e5a8d9f5cbb045ce4353d08495af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed4cf94ad6f6ade536916affcb6bcc8e69d4e5a8d9f5cbb045ce4353d08495af","first_computed_at":"2026-05-18T01:33:31.931288Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:31.931288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gx0re+VsCAPBvqWmkdAxNjHieil/GyhC/xxB8Ppdm4PHBz2U2rGGWxYYmCFnUQPnqmerl4LMsRT+UfWn/GR3DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:31.931956Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.08629","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:211ba62ff74a74f1e728f082fae03d7596b6c290d92acbca6528ed9e6332c6e0","sha256:267df685c54bd8b9dea9d3c251d9eeeaf559098678e86b85787c007ddd34189e"],"state_sha256":"3f1c0e7923a21bb0bcf36c379c3a345df8acc75a9d109f8783cc8d618cd3684e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NRDP5RIGssZgBzDv0eDDOe/sBvX2U4LpONYdgIhhoOwMk2RQoMx1xGnMzbDDr+vA1I+Qy6nIeGb/Wx5QaYwNBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T09:38:04.573614Z","bundle_sha256":"f63843b696a6b0fc2642c95257fc5b461d59f4c1e6a49bc254d66630b7524d4d"}}