{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:4VLK3DEFVKYYVCGNFTKOE6BXZ3","short_pith_number":"pith:4VLK3DEF","schema_version":"1.0","canonical_sha256":"e556ad8c85aab18a88cd2cd4e27837cef1ea0bd8964df2c396b4d676688d7372","source":{"kind":"arxiv","id":"hep-th/0508212","version":2},"attestation_state":"computed","paper":{"title":"Yang-Mills thermodynamics: The confining phase","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ralf Hofmann","submitted_at":"2005-08-29T08:26:21Z","abstract_excerpt":"We summarize recent nonperturbative results obtained for the thermodynamics of an SU(2) and an SU(3) Yang-Mills theory being in its confining (center) phase. This phase is associated with a dynamical breaking of the local magnetic center symmetry. Emphasis is put on an explanation of the involved concepts."},"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":"hep-th/0508212","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-08-29T08:26:21Z","cross_cats_sorted":[],"title_canon_sha256":"5abffcb7582b6aeb9a6642ccadbd9abc96fd32de45d7d7e44e7ac17ef5a3df6f","abstract_canon_sha256":"3dc8a79f6d3c0f78ed44fbfec4bf1e816a5f5e15f0d833d02eb448f8f837d2a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:50:33.455367Z","signature_b64":"+BOIOh2n9AHNafoOA7b0hcI4NlvRGOyZUxS+59+S9I1kDQQTudTwdEcH6yOcK+2rpUGa8dbhCF85U/ya0DFeDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e556ad8c85aab18a88cd2cd4e27837cef1ea0bd8964df2c396b4d676688d7372","last_reissued_at":"2026-07-04T14:50:33.454988Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:50:33.454988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Yang-Mills thermodynamics: The confining phase","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ralf Hofmann","submitted_at":"2005-08-29T08:26:21Z","abstract_excerpt":"We summarize recent nonperturbative results obtained for the thermodynamics of an SU(2) and an SU(3) Yang-Mills theory being in its confining (center) phase. This phase is associated with a dynamical breaking of the local magnetic center symmetry. Emphasis is put on an explanation of the involved concepts."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0508212","kind":"arxiv","version":2},"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/hep-th/0508212/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":"hep-th/0508212","created_at":"2026-07-04T14:50:33.455040+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0508212v2","created_at":"2026-07-04T14:50:33.455040+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0508212","created_at":"2026-07-04T14:50:33.455040+00:00"},{"alias_kind":"pith_short_12","alias_value":"4VLK3DEFVKYY","created_at":"2026-07-04T14:50:33.455040+00:00"},{"alias_kind":"pith_short_16","alias_value":"4VLK3DEFVKYYVCGN","created_at":"2026-07-04T14:50:33.455040+00:00"},{"alias_kind":"pith_short_8","alias_value":"4VLK3DEF","created_at":"2026-07-04T14:50:33.455040+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4VLK3DEFVKYYVCGNFTKOE6BXZ3","json":"https://pith.science/pith/4VLK3DEFVKYYVCGNFTKOE6BXZ3.json","graph_json":"https://pith.science/api/pith-number/4VLK3DEFVKYYVCGNFTKOE6BXZ3/graph.json","events_json":"https://pith.science/api/pith-number/4VLK3DEFVKYYVCGNFTKOE6BXZ3/events.json","paper":"https://pith.science/paper/4VLK3DEF"},"agent_actions":{"view_html":"https://pith.science/pith/4VLK3DEFVKYYVCGNFTKOE6BXZ3","download_json":"https://pith.science/pith/4VLK3DEFVKYYVCGNFTKOE6BXZ3.json","view_paper":"https://pith.science/paper/4VLK3DEF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0508212&json=true","fetch_graph":"https://pith.science/api/pith-number/4VLK3DEFVKYYVCGNFTKOE6BXZ3/graph.json","fetch_events":"https://pith.science/api/pith-number/4VLK3DEFVKYYVCGNFTKOE6BXZ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4VLK3DEFVKYYVCGNFTKOE6BXZ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4VLK3DEFVKYYVCGNFTKOE6BXZ3/action/storage_attestation","attest_author":"https://pith.science/pith/4VLK3DEFVKYYVCGNFTKOE6BXZ3/action/author_attestation","sign_citation":"https://pith.science/pith/4VLK3DEFVKYYVCGNFTKOE6BXZ3/action/citation_signature","submit_replication":"https://pith.science/pith/4VLK3DEFVKYYVCGNFTKOE6BXZ3/action/replication_record"}},"created_at":"2026-07-04T14:50:33.455040+00:00","updated_at":"2026-07-04T14:50:33.455040+00:00"}