{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ENWLWPHG4YWBPAJJD3S3S3DCSA","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":"34afaeca1c87bdce742639f52d0593e11748a3ab1b8a6cc4df378f89edfe1223","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-02T10:25:34Z","title_canon_sha256":"46756369bdb9cb26b2b99367437f440db9f72325d4b423798d7eb5102c6dcf14"},"schema_version":"1.0","source":{"id":"1006.0344","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0344","created_at":"2026-05-18T02:23:48Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0344v3","created_at":"2026-05-18T02:23:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0344","created_at":"2026-05-18T02:23:48Z"},{"alias_kind":"pith_short_12","alias_value":"ENWLWPHG4YWB","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"ENWLWPHG4YWBPAJJ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"ENWLWPHG","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:2e4d0d914698c4eee3682703179958c3c02c3f7861861a456d5c4f07fed57d23","target":"graph","created_at":"2026-05-18T02:23:48Z","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 analyze the phase structure of $d=4$ $\\mathcal{N}=2$ large $N$ SYM theory with flavor on $S^1\\times S^3$ by using geometric entropy as an order parameter. We introduce chemical potential conjugate to global U(1) symmetry and find the third order phase transition at finite density by using the geometric entropy as the order parameter. We also find that the geometric entropy at the finite density has an interesting behavior at low temperature and for large $N_f$.","authors_text":"Hiroshi Ohki, Mitsutoshi Fujita","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-02T10:25:34Z","title":"Geometric entropy and third order phase transition in d=4 N=2 SYM with flavor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0344","kind":"arxiv","version":3},"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":"sha256:174d9329b0004efc877e253d4b74786fab287085ddd745008b840debd68b15a7","target":"record","created_at":"2026-05-18T02:23:48Z","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":"34afaeca1c87bdce742639f52d0593e11748a3ab1b8a6cc4df378f89edfe1223","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-02T10:25:34Z","title_canon_sha256":"46756369bdb9cb26b2b99367437f440db9f72325d4b423798d7eb5102c6dcf14"},"schema_version":"1.0","source":{"id":"1006.0344","kind":"arxiv","version":3}},"canonical_sha256":"236cbb3ce6e62c1781291ee5b96c6290039d64652e99d019d59ce0e3d2298de3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"236cbb3ce6e62c1781291ee5b96c6290039d64652e99d019d59ce0e3d2298de3","first_computed_at":"2026-05-18T02:23:48.466483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:48.466483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YWx6txTBFq/Q2mo7jzpAKj5TNLlTeTejcZxam4OcTyJDtZaNFSiwEbg6cpbjgWzw+53byXIbFR6dubCNXsTjDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:48.467095Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.0344","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:174d9329b0004efc877e253d4b74786fab287085ddd745008b840debd68b15a7","sha256:2e4d0d914698c4eee3682703179958c3c02c3f7861861a456d5c4f07fed57d23"],"state_sha256":"8e89911690ffbcd6ef4e71195ebdfe4727f34a6ba1affdf9a64d003a42099131"}