{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:HSL2HGME4DKOHKYHRJGIEOGG7F","short_pith_number":"pith:HSL2HGME","schema_version":"1.0","canonical_sha256":"3c97a39984e0d4e3ab078a4c8238c6f97b734830d7b713b768cd4fd42ec50fbe","source":{"kind":"arxiv","id":"2506.15194","version":1},"attestation_state":"computed","paper":{"title":"Cosmic Strings in Multi-Step Symmetry Breaking","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Akifumi Chitose, Masahiro Ibe, Satoshi Shirai, Yaxuan Wen","submitted_at":"2025-06-18T07:19:40Z","abstract_excerpt":"We investigate cosmic strings arising from a hierarchical gauge symmetry breaking sequence, $\\mathrm{SU}(2) \\times \\mathrm{U}(1) \\rightarrow \\mathrm{U}(1) \\times \\mathrm{U}(1) \\rightarrow \\mathrm{U}(1)' \\rightarrow \\text{Nothing}$. This pattern gives rise to two distinct classes of cosmic strings: light, stable strings formed at a later stage, and heavy, metastable strings originating from an earlier stage. Our focus is on the heavy strings, which may decay either before or after the final $\\mathrm{U}(1)'$ symmetry is broken. We analyze the internal structure of these strings and the magnetic "},"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":"2506.15194","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-06-18T07:19:40Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"9052fca8b7fbed7555180f03ec0b395123a628cc27f8cd3b4b95e818658c9e9d","abstract_canon_sha256":"7217b759fda73ec11923700b0baee7d2bff2d9945e65ef3627efb5e8bfb1a4ba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:23:38.977263Z","signature_b64":"2/G5OTqWmdqv6mZ6l9tvymbNjP75cAu1RIcdW4TTRDfjhix9BIO53xLsSEsuT9c558TmeXX3ytos9PtI1ivDCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c97a39984e0d4e3ab078a4c8238c6f97b734830d7b713b768cd4fd42ec50fbe","last_reissued_at":"2026-07-05T11:23:38.976678Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:23:38.976678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosmic Strings in Multi-Step Symmetry Breaking","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Akifumi Chitose, Masahiro Ibe, Satoshi Shirai, Yaxuan Wen","submitted_at":"2025-06-18T07:19:40Z","abstract_excerpt":"We investigate cosmic strings arising from a hierarchical gauge symmetry breaking sequence, $\\mathrm{SU}(2) \\times \\mathrm{U}(1) \\rightarrow \\mathrm{U}(1) \\times \\mathrm{U}(1) \\rightarrow \\mathrm{U}(1)' \\rightarrow \\text{Nothing}$. This pattern gives rise to two distinct classes of cosmic strings: light, stable strings formed at a later stage, and heavy, metastable strings originating from an earlier stage. Our focus is on the heavy strings, which may decay either before or after the final $\\mathrm{U}(1)'$ symmetry is broken. We analyze the internal structure of these strings and the magnetic "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.15194","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/2506.15194/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":"2506.15194","created_at":"2026-07-05T11:23:38.976749+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.15194v1","created_at":"2026-07-05T11:23:38.976749+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.15194","created_at":"2026-07-05T11:23:38.976749+00:00"},{"alias_kind":"pith_short_12","alias_value":"HSL2HGME4DKO","created_at":"2026-07-05T11:23:38.976749+00:00"},{"alias_kind":"pith_short_16","alias_value":"HSL2HGME4DKOHKYH","created_at":"2026-07-05T11:23:38.976749+00:00"},{"alias_kind":"pith_short_8","alias_value":"HSL2HGME","created_at":"2026-07-05T11:23:38.976749+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.28097","citing_title":"New gravitational-wave templates for metastable cosmic strings: Loop breaking versus network collapse","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2605.03003","citing_title":"Metastable strings at PTAs: classical stability analysis","ref_index":18,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HSL2HGME4DKOHKYHRJGIEOGG7F","json":"https://pith.science/pith/HSL2HGME4DKOHKYHRJGIEOGG7F.json","graph_json":"https://pith.science/api/pith-number/HSL2HGME4DKOHKYHRJGIEOGG7F/graph.json","events_json":"https://pith.science/api/pith-number/HSL2HGME4DKOHKYHRJGIEOGG7F/events.json","paper":"https://pith.science/paper/HSL2HGME"},"agent_actions":{"view_html":"https://pith.science/pith/HSL2HGME4DKOHKYHRJGIEOGG7F","download_json":"https://pith.science/pith/HSL2HGME4DKOHKYHRJGIEOGG7F.json","view_paper":"https://pith.science/paper/HSL2HGME","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.15194&json=true","fetch_graph":"https://pith.science/api/pith-number/HSL2HGME4DKOHKYHRJGIEOGG7F/graph.json","fetch_events":"https://pith.science/api/pith-number/HSL2HGME4DKOHKYHRJGIEOGG7F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HSL2HGME4DKOHKYHRJGIEOGG7F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HSL2HGME4DKOHKYHRJGIEOGG7F/action/storage_attestation","attest_author":"https://pith.science/pith/HSL2HGME4DKOHKYHRJGIEOGG7F/action/author_attestation","sign_citation":"https://pith.science/pith/HSL2HGME4DKOHKYHRJGIEOGG7F/action/citation_signature","submit_replication":"https://pith.science/pith/HSL2HGME4DKOHKYHRJGIEOGG7F/action/replication_record"}},"created_at":"2026-07-05T11:23:38.976749+00:00","updated_at":"2026-07-05T11:23:38.976749+00:00"}