{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1993:2N2BBC4P5ENSHJLHZ3QLXPT2GS","short_pith_number":"pith:2N2BBC4P","schema_version":"1.0","canonical_sha256":"d374108b8fe91b23a567cee0bbbe7a34b6006dcc3682bd71287e492c4d6036c2","source":{"kind":"arxiv","id":"hep-ph/9304256","version":1},"attestation_state":"computed","paper":{"title":"Electroweak bubbles and sphalerons","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jutta Kunz, Yves Brihaye","submitted_at":"1993-04-15T14:23:32Z","abstract_excerpt":"We consider non-perturbative solutions of the Weinberg-Salam model at finite temperature. We employ an effective temperature-dependent potential yielding a first order phase transition. In the region of the phase transition, there exist two kinds of static, spherically symmetric solutions: sphalerons and bubbles. We analyze these solutions as functions of temperature. We consider the most general spherically symmetric fluctuations about the two solutions and construct the discrete modes in the region of the phase transition. Sphalerons and bubbles both possess a single unstable mode. We presen"},"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/9304256","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1993-04-15T14:23:32Z","cross_cats_sorted":[],"title_canon_sha256":"74fc200319c4a45a1a2e0efae1b55a81921c29663b83dbf81af579b6ca7a6234","abstract_canon_sha256":"a7c73017c42b1321c48290968fa7c49a7025383c172c8fe85c08e500b31a6aff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:55:46.286618Z","signature_b64":"NPDe3htRJKi0sY5/Vk9WDZ/zJm8pQco6Owpay7rprFxh4n41jeJSbl6UwCdnUi3rcBzfk9JXPevvEnWVCbSpAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d374108b8fe91b23a567cee0bbbe7a34b6006dcc3682bd71287e492c4d6036c2","last_reissued_at":"2026-07-04T15:55:46.286220Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:55:46.286220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Electroweak bubbles and sphalerons","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jutta Kunz, Yves Brihaye","submitted_at":"1993-04-15T14:23:32Z","abstract_excerpt":"We consider non-perturbative solutions of the Weinberg-Salam model at finite temperature. We employ an effective temperature-dependent potential yielding a first order phase transition. In the region of the phase transition, there exist two kinds of static, spherically symmetric solutions: sphalerons and bubbles. We analyze these solutions as functions of temperature. We consider the most general spherically symmetric fluctuations about the two solutions and construct the discrete modes in the region of the phase transition. Sphalerons and bubbles both possess a single unstable mode. We presen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9304256","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9304256/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/9304256","created_at":"2026-07-04T15:55:46.286281+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9304256v1","created_at":"2026-07-04T15:55:46.286281+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9304256","created_at":"2026-07-04T15:55:46.286281+00:00"},{"alias_kind":"pith_short_12","alias_value":"2N2BBC4P5ENS","created_at":"2026-07-04T15:55:46.286281+00:00"},{"alias_kind":"pith_short_16","alias_value":"2N2BBC4P5ENSHJLH","created_at":"2026-07-04T15:55:46.286281+00:00"},{"alias_kind":"pith_short_8","alias_value":"2N2BBC4P","created_at":"2026-07-04T15:55:46.286281+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/2N2BBC4P5ENSHJLHZ3QLXPT2GS","json":"https://pith.science/pith/2N2BBC4P5ENSHJLHZ3QLXPT2GS.json","graph_json":"https://pith.science/api/pith-number/2N2BBC4P5ENSHJLHZ3QLXPT2GS/graph.json","events_json":"https://pith.science/api/pith-number/2N2BBC4P5ENSHJLHZ3QLXPT2GS/events.json","paper":"https://pith.science/paper/2N2BBC4P"},"agent_actions":{"view_html":"https://pith.science/pith/2N2BBC4P5ENSHJLHZ3QLXPT2GS","download_json":"https://pith.science/pith/2N2BBC4P5ENSHJLHZ3QLXPT2GS.json","view_paper":"https://pith.science/paper/2N2BBC4P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9304256&json=true","fetch_graph":"https://pith.science/api/pith-number/2N2BBC4P5ENSHJLHZ3QLXPT2GS/graph.json","fetch_events":"https://pith.science/api/pith-number/2N2BBC4P5ENSHJLHZ3QLXPT2GS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2N2BBC4P5ENSHJLHZ3QLXPT2GS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2N2BBC4P5ENSHJLHZ3QLXPT2GS/action/storage_attestation","attest_author":"https://pith.science/pith/2N2BBC4P5ENSHJLHZ3QLXPT2GS/action/author_attestation","sign_citation":"https://pith.science/pith/2N2BBC4P5ENSHJLHZ3QLXPT2GS/action/citation_signature","submit_replication":"https://pith.science/pith/2N2BBC4P5ENSHJLHZ3QLXPT2GS/action/replication_record"}},"created_at":"2026-07-04T15:55:46.286281+00:00","updated_at":"2026-07-04T15:55:46.286281+00:00"}