{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NCH5XVNGNLSLWBUR4A6FHXHTGA","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":"916f52176b8c46b148adc4323e3ac42e7eba70a72d94035337f96fbc81f22722","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-09-04T20:00:07Z","title_canon_sha256":"92b0a6aad65fb28d0e224ed1d93bff08b70ccb5f82bc043b24da682a53a023c2"},"schema_version":"1.0","source":{"id":"1409.1577","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1577","created_at":"2026-05-18T01:42:07Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1577v3","created_at":"2026-05-18T01:42:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1577","created_at":"2026-05-18T01:42:07Z"},{"alias_kind":"pith_short_12","alias_value":"NCH5XVNGNLSL","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NCH5XVNGNLSLWBUR","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NCH5XVNG","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:e6f9330e65600f5c92e73b75d80aee1a642f302a4ab387e8e00d4880ed4a10b8","target":"graph","created_at":"2026-05-18T01:42:07Z","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":"Starting from the collisional Boltzmann equation, we derive for the first time and from first principles the Boltzmann hierarchy for neutrinos including interactions with a scalar particle. Such interactions appear, for example, in majoron-like models of neutrino mass generation. We study two limits of the scalar mass: (i) An extremely massive scalar whose only role is to mediate an effective 4-fermion neutrino-neutrino interaction, and (ii) a massless scalar that can be produced in abundance and thus demands its own Boltzmann hierarchy. In contrast to, e.g., the first-order Boltzmann hierarch","authors_text":"Cornelius Rampf, Isabel M. Oldengott, Yvonne Y. Y. Wong","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-09-04T20:00:07Z","title":"Boltzmann hierarchy for interacting neutrinos I: formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1577","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":"sha256:32cecb30c38cd6decf4c885715394a8f586f5315db1ca7694d1e8d0cea7dcbde","target":"record","created_at":"2026-05-18T01:42:07Z","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":"916f52176b8c46b148adc4323e3ac42e7eba70a72d94035337f96fbc81f22722","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-09-04T20:00:07Z","title_canon_sha256":"92b0a6aad65fb28d0e224ed1d93bff08b70ccb5f82bc043b24da682a53a023c2"},"schema_version":"1.0","source":{"id":"1409.1577","kind":"arxiv","version":3}},"canonical_sha256":"688fdbd5a66ae4bb0691e03c53dcf3300f2aa79910ac27998c485415e9b4f9e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"688fdbd5a66ae4bb0691e03c53dcf3300f2aa79910ac27998c485415e9b4f9e4","first_computed_at":"2026-05-18T01:42:07.769218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:07.769218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LyofIZGbTXG25X1zDkdadsCzjx4YaR2PaAAZ4I/XtkVLzw9xV3+P3lK/DGmms+LTnB2UYEy0aThZlYfEOaViBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:07.769738Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.1577","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32cecb30c38cd6decf4c885715394a8f586f5315db1ca7694d1e8d0cea7dcbde","sha256:e6f9330e65600f5c92e73b75d80aee1a642f302a4ab387e8e00d4880ed4a10b8"],"state_sha256":"b709586db4e1f06fda7dbaff2d5ae7fafec5b8f302b630b6d990bc7e6a53ccd3"}