{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:WFHWO5QVLX5QGPHGNI4Z32MHJ4","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":"88a5e07ab8efc6b2031296f1c7b5ad0bb3be480776fdd0b353160befd5d8aef1","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-04-30T13:40:41Z","title_canon_sha256":"7ba898ac43d9f293fa44fcfea5678d3470fe553e97d5e10f2bcf7c2565fa283d"},"schema_version":"1.0","source":{"id":"hep-ph/0204353","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0204353","created_at":"2026-05-18T00:37:29Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0204353v1","created_at":"2026-05-18T00:37:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0204353","created_at":"2026-05-18T00:37:29Z"},{"alias_kind":"pith_short_12","alias_value":"WFHWO5QVLX5Q","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"WFHWO5QVLX5QGPHG","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"WFHWO5QV","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:82035bd27c53742f40225f10a133173fc8f7d087200e640cb7109961a826073f","target":"graph","created_at":"2026-05-18T00:37:29Z","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 discuss the condensation of relativistic spin-one fields at high chemical potential. This phenomenon leads to the spontaneous breaking of rotational invariance, together with the breaking of internal symmetries.","authors_text":"F. Sannino, W. Sch\\\"afer (NORDITA)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2002-04-30T13:40:41Z","title":"Vector Condensation at Large Chemical Potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0204353","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:bc94dce6a258a2360bb157c8d3e331e5cc47a8f27d52b3142c64aff992fcec94","target":"record","created_at":"2026-05-18T00:37:29Z","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":"88a5e07ab8efc6b2031296f1c7b5ad0bb3be480776fdd0b353160befd5d8aef1","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-04-30T13:40:41Z","title_canon_sha256":"7ba898ac43d9f293fa44fcfea5678d3470fe553e97d5e10f2bcf7c2565fa283d"},"schema_version":"1.0","source":{"id":"hep-ph/0204353","kind":"arxiv","version":1}},"canonical_sha256":"b14f6776155dfb033ce66a399de9874f00a98a9419a8c56fc99af64518a851e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b14f6776155dfb033ce66a399de9874f00a98a9419a8c56fc99af64518a851e7","first_computed_at":"2026-05-18T00:37:29.324707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:29.324707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B4E+NQeY333dCn35IC/t7FAWjll/t2N0/+f33+BnVVr2905x65U0Dr4WFmSvHPLMF9Ae4j4XQlquD0EP666hAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:29.325054Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0204353","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc94dce6a258a2360bb157c8d3e331e5cc47a8f27d52b3142c64aff992fcec94","sha256:82035bd27c53742f40225f10a133173fc8f7d087200e640cb7109961a826073f"],"state_sha256":"1d6c6e4edf7151a3f6e9c8e64f9e2ad74041dfc8f0af27118218518862a6fbe0"}