{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XQSZLQRMZXIHMJ4E7OGA4II6VB","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":"efc6c5286177c0ff4a9cb0498e642b8a8007e81b2f0f42f2aaeb51101933dd7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-05T12:57:14Z","title_canon_sha256":"2dd63172879811504685480d1a96a7fd6acb583db9d4984d7eda9b6eb5066a50"},"schema_version":"1.0","source":{"id":"1210.1742","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.1742","created_at":"2026-05-18T01:54:05Z"},{"alias_kind":"arxiv_version","alias_value":"1210.1742v2","created_at":"2026-05-18T01:54:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.1742","created_at":"2026-05-18T01:54:05Z"},{"alias_kind":"pith_short_12","alias_value":"XQSZLQRMZXIH","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XQSZLQRMZXIHMJ4E","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XQSZLQRM","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:a03ce98c1fedd26635d5f9881beb331517a59839329e405d10a78015cd463ec2","target":"graph","created_at":"2026-05-18T01:54:05Z","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":"The effective potential of the order parameter for confinement is calculated within the Hamiltonian approach by compactifying one spatial dimension and using a background gauge fixing. Neglecting the ghost and using the perturbative gluon energy one recovers the Weiss potential. From the full non-perturbative potential calculated within a variational approach a critical temperature of the deconfinement phase transition of 269 MeV is found for the gauge group SU(2).","authors_text":"Hugo Reinhardt, Jan Heffner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-05T12:57:14Z","title":"The effective potential of the confinement order parameter in the Hamilton approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1742","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":"sha256:34b8212aa5697ba72893e1b5b3261b95fb849e6f3516a366ff3d6064feae56fa","target":"record","created_at":"2026-05-18T01:54:05Z","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":"efc6c5286177c0ff4a9cb0498e642b8a8007e81b2f0f42f2aaeb51101933dd7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-05T12:57:14Z","title_canon_sha256":"2dd63172879811504685480d1a96a7fd6acb583db9d4984d7eda9b6eb5066a50"},"schema_version":"1.0","source":{"id":"1210.1742","kind":"arxiv","version":2}},"canonical_sha256":"bc2595c22ccdd0762784fb8c0e211ea87f15bc40c461c9e0c211f080443891b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc2595c22ccdd0762784fb8c0e211ea87f15bc40c461c9e0c211f080443891b2","first_computed_at":"2026-05-18T01:54:05.321754Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:05.321754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/Nwebno44ac6UQjr+a+GJdBOXwPlJ4dmXAfzgbS3ZX1GVWFg5805k/KFSiBjntbgnN3soElEUcZbpRI1jAm1Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:05.322154Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.1742","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34b8212aa5697ba72893e1b5b3261b95fb849e6f3516a366ff3d6064feae56fa","sha256:a03ce98c1fedd26635d5f9881beb331517a59839329e405d10a78015cd463ec2"],"state_sha256":"84953bdccc35529c9897005ae5096c5515d775b4b5c860d9b4068d5c318d83e2"}