{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MCRQ3GQ2II2NVBCOMCNJYMU7F2","short_pith_number":"pith:MCRQ3GQ2","canonical_record":{"source":{"id":"1712.08183","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-21T19:24:33Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"9ae573704fe7e3cc1874dddeb98e1dd47aa3f99628bc9064ccea4f799d1d07a4","abstract_canon_sha256":"e40171681fc7394e811b325082950a5824b3fe1d781e4554d5a303b587c96b93"},"schema_version":"1.0"},"canonical_sha256":"60a30d9a1a4234da844e609a9c329f2eb0597e06f9aa03c28f5b62b652ae3e53","source":{"kind":"arxiv","id":"1712.08183","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.08183","created_at":"2026-05-18T00:27:24Z"},{"alias_kind":"arxiv_version","alias_value":"1712.08183v1","created_at":"2026-05-18T00:27:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.08183","created_at":"2026-05-18T00:27:24Z"},{"alias_kind":"pith_short_12","alias_value":"MCRQ3GQ2II2N","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MCRQ3GQ2II2NVBCO","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MCRQ3GQ2","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MCRQ3GQ2II2NVBCOMCNJYMU7F2","target":"record","payload":{"canonical_record":{"source":{"id":"1712.08183","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-21T19:24:33Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"9ae573704fe7e3cc1874dddeb98e1dd47aa3f99628bc9064ccea4f799d1d07a4","abstract_canon_sha256":"e40171681fc7394e811b325082950a5824b3fe1d781e4554d5a303b587c96b93"},"schema_version":"1.0"},"canonical_sha256":"60a30d9a1a4234da844e609a9c329f2eb0597e06f9aa03c28f5b62b652ae3e53","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:24.236482Z","signature_b64":"PhHvTbHDHrbHG7IC307N+FDBX41WMTOgpFrDLqzVvx0uF9bDfS/bidSWEqe7U7LaRzKdKMk4nn4ReMtfCgGnBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60a30d9a1a4234da844e609a9c329f2eb0597e06f9aa03c28f5b62b652ae3e53","last_reissued_at":"2026-05-18T00:27:24.236052Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:24.236052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.08183","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:27:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S/r5d1rdOrIaWJQElhFn95SGTWr02aCcE1xucLIXetJ53U5C4mAbm4siJy1r4w/yyWge4yEuLlqKnYIypuwyCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:48:07.015331Z"},"content_sha256":"1123eab8297b2ec53fe93f51e8d7ecdafc8e87714b92c51bcd3bb57683c3b9d7","schema_version":"1.0","event_id":"sha256:1123eab8297b2ec53fe93f51e8d7ecdafc8e87714b92c51bcd3bb57683c3b9d7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MCRQ3GQ2II2NVBCOMCNJYMU7F2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Possible higher order phase transition in large-$N$ gauge theory at finite temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Hiromichi Nishimura, Robert D. Pisarski, Vladimir V. Skokov","submitted_at":"2017-12-21T19:24:33Z","abstract_excerpt":"We analyze the phase structure of $SU(\\infty)$ gauge theory at finite temperature using matrix models. Our basic assumption is that the effective potential is dominated by double-trace terms for the Polyakov loops. As a function of the temperature, a background field for the Polyakov loop, and a quartic coupling, it exhibits a universal structure: in the large portion of the parameter space, there is a continuous phase transition analogous to the third-order phase transition of Gross, Witten and Wadia, but the order of phase transition can be higher than third. We show that different confining"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08183","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:27:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kGgJxAKJMqJW0J54TdyTrZtphL98uz97hJS8GMNM3wavZi99XpomCOMs0g33CVq055Ewt6kXoh6pyxcOxWfaCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:48:07.015682Z"},"content_sha256":"306c5bdaeb967c52f5eda0ef0ea7cae6c0a16fe674b34693255c46d54991d196","schema_version":"1.0","event_id":"sha256:306c5bdaeb967c52f5eda0ef0ea7cae6c0a16fe674b34693255c46d54991d196"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MCRQ3GQ2II2NVBCOMCNJYMU7F2/bundle.json","state_url":"https://pith.science/pith/MCRQ3GQ2II2NVBCOMCNJYMU7F2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MCRQ3GQ2II2NVBCOMCNJYMU7F2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T12:48:07Z","links":{"resolver":"https://pith.science/pith/MCRQ3GQ2II2NVBCOMCNJYMU7F2","bundle":"https://pith.science/pith/MCRQ3GQ2II2NVBCOMCNJYMU7F2/bundle.json","state":"https://pith.science/pith/MCRQ3GQ2II2NVBCOMCNJYMU7F2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MCRQ3GQ2II2NVBCOMCNJYMU7F2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MCRQ3GQ2II2NVBCOMCNJYMU7F2","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":"e40171681fc7394e811b325082950a5824b3fe1d781e4554d5a303b587c96b93","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-21T19:24:33Z","title_canon_sha256":"9ae573704fe7e3cc1874dddeb98e1dd47aa3f99628bc9064ccea4f799d1d07a4"},"schema_version":"1.0","source":{"id":"1712.08183","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.08183","created_at":"2026-05-18T00:27:24Z"},{"alias_kind":"arxiv_version","alias_value":"1712.08183v1","created_at":"2026-05-18T00:27:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.08183","created_at":"2026-05-18T00:27:24Z"},{"alias_kind":"pith_short_12","alias_value":"MCRQ3GQ2II2N","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MCRQ3GQ2II2NVBCO","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MCRQ3GQ2","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:306c5bdaeb967c52f5eda0ef0ea7cae6c0a16fe674b34693255c46d54991d196","target":"graph","created_at":"2026-05-18T00:27:24Z","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 $SU(\\infty)$ gauge theory at finite temperature using matrix models. Our basic assumption is that the effective potential is dominated by double-trace terms for the Polyakov loops. As a function of the temperature, a background field for the Polyakov loop, and a quartic coupling, it exhibits a universal structure: in the large portion of the parameter space, there is a continuous phase transition analogous to the third-order phase transition of Gross, Witten and Wadia, but the order of phase transition can be higher than third. We show that different confining","authors_text":"Hiromichi Nishimura, Robert D. Pisarski, Vladimir V. Skokov","cross_cats":["hep-lat","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-21T19:24:33Z","title":"Possible higher order phase transition in large-$N$ gauge theory at finite temperature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08183","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":"sha256:1123eab8297b2ec53fe93f51e8d7ecdafc8e87714b92c51bcd3bb57683c3b9d7","target":"record","created_at":"2026-05-18T00:27:24Z","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":"e40171681fc7394e811b325082950a5824b3fe1d781e4554d5a303b587c96b93","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-21T19:24:33Z","title_canon_sha256":"9ae573704fe7e3cc1874dddeb98e1dd47aa3f99628bc9064ccea4f799d1d07a4"},"schema_version":"1.0","source":{"id":"1712.08183","kind":"arxiv","version":1}},"canonical_sha256":"60a30d9a1a4234da844e609a9c329f2eb0597e06f9aa03c28f5b62b652ae3e53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60a30d9a1a4234da844e609a9c329f2eb0597e06f9aa03c28f5b62b652ae3e53","first_computed_at":"2026-05-18T00:27:24.236052Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:24.236052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PhHvTbHDHrbHG7IC307N+FDBX41WMTOgpFrDLqzVvx0uF9bDfS/bidSWEqe7U7LaRzKdKMk4nn4ReMtfCgGnBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:24.236482Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.08183","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1123eab8297b2ec53fe93f51e8d7ecdafc8e87714b92c51bcd3bb57683c3b9d7","sha256:306c5bdaeb967c52f5eda0ef0ea7cae6c0a16fe674b34693255c46d54991d196"],"state_sha256":"5727d7d0639844170b9ec2a0b57d719d39640dcc8bce56c468ab9f91dcec24b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"owz9UZr/xc+Xioq0nD/EF/N4lpYvUHzWlATlKib67T3SwTdrEfTzz9k4G7qKFkOnW4PZOiYWGldvi8E8sHMNBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:48:07.017605Z","bundle_sha256":"19216658d31beb6b32442c674c9a8889a2621ca59f27a22b1c4c6eeba1c96287"}}