{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:YGXTWBZJSNKGNJQY7DQKGX7DWX","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":"24ba55755f503562cf54bd330119e30e8a4e8128458a203d1df6c530728cd1f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-27T15:01:34Z","title_canon_sha256":"0c0f8478c5e77110f3da5a924af685b3a11dd25fe7c20100e37e93ae954eaa7a"},"schema_version":"1.0","source":{"id":"0908.4027","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.4027","created_at":"2026-05-18T03:54:37Z"},{"alias_kind":"arxiv_version","alias_value":"0908.4027v1","created_at":"2026-05-18T03:54:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.4027","created_at":"2026-05-18T03:54:37Z"},{"alias_kind":"pith_short_12","alias_value":"YGXTWBZJSNKG","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"YGXTWBZJSNKGNJQY","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"YGXTWBZJ","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:2fd9633028c36a683369b4d16c52abdced1861ed2ba9a32cdce1bd9f255a62b6","target":"graph","created_at":"2026-05-18T03:54:37Z","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":"We determine the critical strength of the effective electric coupling for the onset of Bose condensation of stable magnetic monopoles and antimonopoles in SU(2) Yang-Mills thermodynamics. Two scenarios are considered: infinitely fast and infinitely slow downward approach of the critical temperature. Our results support the claim that the first lepton family and the weak interactions emerge from pure SU(2) gauge dynamics of scale $\\sim 0.5 $MeV.","authors_text":"Ralf Hofmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-27T15:01:34Z","title":"Onset of magnetic monopole-antimonopole condensation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.4027","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":"sha256:7bf8410ea78cbb20cae1599f5161e68c4c46632f2b9724fb953930e1a0031f10","target":"record","created_at":"2026-05-18T03:54:37Z","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":"24ba55755f503562cf54bd330119e30e8a4e8128458a203d1df6c530728cd1f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-27T15:01:34Z","title_canon_sha256":"0c0f8478c5e77110f3da5a924af685b3a11dd25fe7c20100e37e93ae954eaa7a"},"schema_version":"1.0","source":{"id":"0908.4027","kind":"arxiv","version":1}},"canonical_sha256":"c1af3b0729935466a618f8e0a35fe3b5ea1cc9ed09bd4f7844263828c7e66552","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1af3b0729935466a618f8e0a35fe3b5ea1cc9ed09bd4f7844263828c7e66552","first_computed_at":"2026-05-18T03:54:37.883056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:37.883056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GnRnZN4+lbELEqEgZFnERAJdOOFvtdijT0p7TVYKpMYQxzRA4CLHZcPPfJqoe2oct5XsYBKs/bMgARCn0Et9Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:37.883875Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.4027","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bf8410ea78cbb20cae1599f5161e68c4c46632f2b9724fb953930e1a0031f10","sha256:2fd9633028c36a683369b4d16c52abdced1861ed2ba9a32cdce1bd9f255a62b6"],"state_sha256":"a580e244f210a40935a8394c5addd7b264cbefaa2603b5baf995be57657dc73e"}