{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:7SLAGSWJ4H7XUG3Q2AZAJZILRM","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":"499d7fd91789e2da638d54e71871484b62ef2f8ec619af8155b94d283b7c567c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-07-27T13:49:32Z","title_canon_sha256":"73e40f7f7d97ced6233b297a0971e9be1b046f1d0df347568e2e670a9d3c16f3"},"schema_version":"1.0","source":{"id":"1007.4720","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.4720","created_at":"2026-05-18T04:28:48Z"},{"alias_kind":"arxiv_version","alias_value":"1007.4720v2","created_at":"2026-05-18T04:28:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.4720","created_at":"2026-05-18T04:28:48Z"},{"alias_kind":"pith_short_12","alias_value":"7SLAGSWJ4H7X","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"7SLAGSWJ4H7XUG3Q","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"7SLAGSWJ","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:7a80107f2f31bfb7b5f3e26691d2ad2c8c2a79db0f9bfe453299a0750b6ab5a8","target":"graph","created_at":"2026-05-18T04:28:48Z","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 calculate the energy spectrum of a confining flux tube that is closed around a spatial torus, as a function of its length l. We do so for various SU(N) gauge theories in 3+1 dimensions, and for various values of spin, parity and longitudinal momentum. We are able to present usefully accurate results for about 20 of the lightest such states, for a range of l that begins close to the (finite volume) deconfining phase transition, and extends up to l.sqrt(K)~6 (where K is the string tension). We find that most of these low-lying states are well described by the spectrum of the Nambu-Goto free s","authors_text":"Andreas Athenodorou, Barak Bringoltz, Michael Teper","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-07-27T13:49:32Z","title":"Closed flux tubes and their string description in D=3+1 SU(N) gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.4720","kind":"arxiv","version":2},"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":"sha256:56bd86fbd6680575f26aac685ba5b9731e5d3f28acd27ba89225d3cac4f3dd00","target":"record","created_at":"2026-05-18T04:28:48Z","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":"499d7fd91789e2da638d54e71871484b62ef2f8ec619af8155b94d283b7c567c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-07-27T13:49:32Z","title_canon_sha256":"73e40f7f7d97ced6233b297a0971e9be1b046f1d0df347568e2e670a9d3c16f3"},"schema_version":"1.0","source":{"id":"1007.4720","kind":"arxiv","version":2}},"canonical_sha256":"fc96034ac9e1ff7a1b70d03204e50b8b321caed966e269c1f83e291848664653","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc96034ac9e1ff7a1b70d03204e50b8b321caed966e269c1f83e291848664653","first_computed_at":"2026-05-18T04:28:48.284725Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:48.284725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b7O564i5AONpK3kwZokLowkZndVFTBHVyFay5Jnd1jdRDHZszbKbJWOD92OWDvW8j5IR9RFsqcV3dY48hIgEDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:48.285374Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.4720","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56bd86fbd6680575f26aac685ba5b9731e5d3f28acd27ba89225d3cac4f3dd00","sha256:7a80107f2f31bfb7b5f3e26691d2ad2c8c2a79db0f9bfe453299a0750b6ab5a8"],"state_sha256":"258e229c877892bbfce332b069259906266f73ddb1fdd1b70c11eac70f8336fc"}