{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:6K33AMQ6RQBPQRDYIIMYAHUQ4A","short_pith_number":"pith:6K33AMQ6","schema_version":"1.0","canonical_sha256":"f2b7b0321e8c02f844784219801e90e02ac15ed38bc7625831c486ac8151005b","source":{"kind":"arxiv","id":"hep-ph/0007071","version":2},"attestation_state":"computed","paper":{"title":"Neutrino Zero Modes on Electroweak Strings","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Dejan Stojkovic, Glenn D. Starkman, Tanmay Vachaspati","submitted_at":"2000-07-07T20:46:58Z","abstract_excerpt":"Zero modes of massive standard model fermions have been found on electroweak Z-strings. A zero mode solution for a massless left-handed neutrino is also known, but was thought to be non-normalizable. Here we show that although this mode is not discretely normalizable, it is delta-function normalizable and the correct interpretation of this solution is within the framework of the continuum spectrum. We also analyze an extension of the standard model including right-handed neutrinos in which neutrinos have Dirac masses, arising from a Yukawa coupling to the usual SU(2) Higgs doublet, and right-h"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-ph/0007071","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-07-07T20:46:58Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"53fc7618e95bb3daf3d4065c4514578a7f82fdf83fa56e4cc4f5a0c365928e0b","abstract_canon_sha256":"75e465cadd0f10a049d054401f178eac3ea0bc5426495ec48a9f77dc1e65877a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:29:32.855123Z","signature_b64":"vEIkHXSmragggRHd1kJuMyiMevMSQmKvGssZNlKSalYEwkFuJAwWGf05XmaPgVgjgUvJOGTKVund8/5oowLPCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2b7b0321e8c02f844784219801e90e02ac15ed38bc7625831c486ac8151005b","last_reissued_at":"2026-07-04T15:29:32.854712Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:29:32.854712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Neutrino Zero Modes on Electroweak Strings","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Dejan Stojkovic, Glenn D. Starkman, Tanmay Vachaspati","submitted_at":"2000-07-07T20:46:58Z","abstract_excerpt":"Zero modes of massive standard model fermions have been found on electroweak Z-strings. A zero mode solution for a massless left-handed neutrino is also known, but was thought to be non-normalizable. Here we show that although this mode is not discretely normalizable, it is delta-function normalizable and the correct interpretation of this solution is within the framework of the continuum spectrum. We also analyze an extension of the standard model including right-handed neutrinos in which neutrinos have Dirac masses, arising from a Yukawa coupling to the usual SU(2) Higgs doublet, and right-h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0007071","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0007071/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0007071","created_at":"2026-07-04T15:29:32.854774+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0007071v2","created_at":"2026-07-04T15:29:32.854774+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0007071","created_at":"2026-07-04T15:29:32.854774+00:00"},{"alias_kind":"pith_short_12","alias_value":"6K33AMQ6RQBP","created_at":"2026-07-04T15:29:32.854774+00:00"},{"alias_kind":"pith_short_16","alias_value":"6K33AMQ6RQBPQRDY","created_at":"2026-07-04T15:29:32.854774+00:00"},{"alias_kind":"pith_short_8","alias_value":"6K33AMQ6","created_at":"2026-07-04T15:29:32.854774+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6K33AMQ6RQBPQRDYIIMYAHUQ4A","json":"https://pith.science/pith/6K33AMQ6RQBPQRDYIIMYAHUQ4A.json","graph_json":"https://pith.science/api/pith-number/6K33AMQ6RQBPQRDYIIMYAHUQ4A/graph.json","events_json":"https://pith.science/api/pith-number/6K33AMQ6RQBPQRDYIIMYAHUQ4A/events.json","paper":"https://pith.science/paper/6K33AMQ6"},"agent_actions":{"view_html":"https://pith.science/pith/6K33AMQ6RQBPQRDYIIMYAHUQ4A","download_json":"https://pith.science/pith/6K33AMQ6RQBPQRDYIIMYAHUQ4A.json","view_paper":"https://pith.science/paper/6K33AMQ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0007071&json=true","fetch_graph":"https://pith.science/api/pith-number/6K33AMQ6RQBPQRDYIIMYAHUQ4A/graph.json","fetch_events":"https://pith.science/api/pith-number/6K33AMQ6RQBPQRDYIIMYAHUQ4A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6K33AMQ6RQBPQRDYIIMYAHUQ4A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6K33AMQ6RQBPQRDYIIMYAHUQ4A/action/storage_attestation","attest_author":"https://pith.science/pith/6K33AMQ6RQBPQRDYIIMYAHUQ4A/action/author_attestation","sign_citation":"https://pith.science/pith/6K33AMQ6RQBPQRDYIIMYAHUQ4A/action/citation_signature","submit_replication":"https://pith.science/pith/6K33AMQ6RQBPQRDYIIMYAHUQ4A/action/replication_record"}},"created_at":"2026-07-04T15:29:32.854774+00:00","updated_at":"2026-07-04T15:29:32.854774+00:00"}