{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:FLUZPZSLKJVOUREXJSMYRJKFNS","short_pith_number":"pith:FLUZPZSL","canonical_record":{"source":{"id":"2210.09363","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-10-17T19:01:04Z","cross_cats_sorted":["hep-lat","hep-th","nucl-th"],"title_canon_sha256":"089a037cd9bf501113e6369b32cc45d3a3ddbafeb6f0f71f2e9088c9b78977b5","abstract_canon_sha256":"15c870d53d67aa60d2bb5ed4caf7f74f585e9fb184f1406d4848ec8a64eae735"},"schema_version":"1.0"},"canonical_sha256":"2ae997e64b526aea44974c9988a5456c9d1391fcbb8cd00dcf2fa79ba6cf0249","source":{"kind":"arxiv","id":"2210.09363","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.09363","created_at":"2026-07-05T06:09:45Z"},{"alias_kind":"arxiv_version","alias_value":"2210.09363v1","created_at":"2026-07-05T06:09:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.09363","created_at":"2026-07-05T06:09:45Z"},{"alias_kind":"pith_short_12","alias_value":"FLUZPZSLKJVO","created_at":"2026-07-05T06:09:45Z"},{"alias_kind":"pith_short_16","alias_value":"FLUZPZSLKJVOUREX","created_at":"2026-07-05T06:09:45Z"},{"alias_kind":"pith_short_8","alias_value":"FLUZPZSL","created_at":"2026-07-05T06:09:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:FLUZPZSLKJVOUREXJSMYRJKFNS","target":"record","payload":{"canonical_record":{"source":{"id":"2210.09363","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-10-17T19:01:04Z","cross_cats_sorted":["hep-lat","hep-th","nucl-th"],"title_canon_sha256":"089a037cd9bf501113e6369b32cc45d3a3ddbafeb6f0f71f2e9088c9b78977b5","abstract_canon_sha256":"15c870d53d67aa60d2bb5ed4caf7f74f585e9fb184f1406d4848ec8a64eae735"},"schema_version":"1.0"},"canonical_sha256":"2ae997e64b526aea44974c9988a5456c9d1391fcbb8cd00dcf2fa79ba6cf0249","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:09:45.404886Z","signature_b64":"yt8eCc1gwo9FbtpW6woeLoTe4lmGxq3jeXZW9XdqcatPxtQYBFY+cTtFQbrPLaK2jIy1fAyAcON24G1CAxJzAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ae997e64b526aea44974c9988a5456c9d1391fcbb8cd00dcf2fa79ba6cf0249","last_reissued_at":"2026-07-05T06:09:45.404396Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:09:45.404396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.09363","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":"2026-07-05T06:09:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9vcVmYPsr6W5K6dr+0GQZbjRVCdivymeE0AUk0BUva/jVYj2JOiO9wvQ6LFVNKQXD8XwiFkt6A+wbjIpXRaPBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T02:53:23.845763Z"},"content_sha256":"e7a1c41e284c5dc2f528b1d21b58d4f365528c38062dbb963dfc8b3ca7868b48","schema_version":"1.0","event_id":"sha256:e7a1c41e284c5dc2f528b1d21b58d4f365528c38062dbb963dfc8b3ca7868b48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:FLUZPZSLKJVOUREXJSMYRJKFNS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effective model for pure Yang-Mills theory on $\\mathbb{T}^2\\times \\mathbb{R}^2$ with Polyakov loops","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Daiki Suenaga, Masakiyo Kitazawa","submitted_at":"2022-10-17T19:01:04Z","abstract_excerpt":"We investigate the phase diagram and thermodynamics of $SU(N)$ pure Yang-Mills theory on a manifold $\\mathbb{T}^2\\times \\mathbb{R}^2$ with an effective model that includes two Polyakov loops along two compactified directions. We find that a rich phase structure can appear owing to the spontaneous breaking of two center symmetries for $N=2$ and $3$. Thermodynamic quantities are obtained in the model and compared with recent lattice results. It is shown that two Polyakov loops play significant roles in thermodynamics on $\\mathbb{T}^2\\times \\mathbb{R}^2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.09363","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2210.09363/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:09:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"orxD7KS2HzEPSrWODNKn8uuW3kXYmu9mIHeOyEPHmCocZP5U6nN24jqnRmsL7ptEN6weTP+Ta0TY6j2Z5qXcCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T02:53:23.846641Z"},"content_sha256":"269946825f006293eac80fe5947fba95cf0989b99ea6d70ddc6ff609a8ca0fa0","schema_version":"1.0","event_id":"sha256:269946825f006293eac80fe5947fba95cf0989b99ea6d70ddc6ff609a8ca0fa0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FLUZPZSLKJVOUREXJSMYRJKFNS/bundle.json","state_url":"https://pith.science/pith/FLUZPZSLKJVOUREXJSMYRJKFNS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FLUZPZSLKJVOUREXJSMYRJKFNS/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":"2026-08-09T02:53:23Z","links":{"resolver":"https://pith.science/pith/FLUZPZSLKJVOUREXJSMYRJKFNS","bundle":"https://pith.science/pith/FLUZPZSLKJVOUREXJSMYRJKFNS/bundle.json","state":"https://pith.science/pith/FLUZPZSLKJVOUREXJSMYRJKFNS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FLUZPZSLKJVOUREXJSMYRJKFNS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:FLUZPZSLKJVOUREXJSMYRJKFNS","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":"15c870d53d67aa60d2bb5ed4caf7f74f585e9fb184f1406d4848ec8a64eae735","cross_cats_sorted":["hep-lat","hep-th","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-10-17T19:01:04Z","title_canon_sha256":"089a037cd9bf501113e6369b32cc45d3a3ddbafeb6f0f71f2e9088c9b78977b5"},"schema_version":"1.0","source":{"id":"2210.09363","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.09363","created_at":"2026-07-05T06:09:45Z"},{"alias_kind":"arxiv_version","alias_value":"2210.09363v1","created_at":"2026-07-05T06:09:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.09363","created_at":"2026-07-05T06:09:45Z"},{"alias_kind":"pith_short_12","alias_value":"FLUZPZSLKJVO","created_at":"2026-07-05T06:09:45Z"},{"alias_kind":"pith_short_16","alias_value":"FLUZPZSLKJVOUREX","created_at":"2026-07-05T06:09:45Z"},{"alias_kind":"pith_short_8","alias_value":"FLUZPZSL","created_at":"2026-07-05T06:09:45Z"}],"graph_snapshots":[{"event_id":"sha256:269946825f006293eac80fe5947fba95cf0989b99ea6d70ddc6ff609a8ca0fa0","target":"graph","created_at":"2026-07-05T06:09:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.09363/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the phase diagram and thermodynamics of $SU(N)$ pure Yang-Mills theory on a manifold $\\mathbb{T}^2\\times \\mathbb{R}^2$ with an effective model that includes two Polyakov loops along two compactified directions. We find that a rich phase structure can appear owing to the spontaneous breaking of two center symmetries for $N=2$ and $3$. Thermodynamic quantities are obtained in the model and compared with recent lattice results. It is shown that two Polyakov loops play significant roles in thermodynamics on $\\mathbb{T}^2\\times \\mathbb{R}^2$.","authors_text":"Daiki Suenaga, Masakiyo Kitazawa","cross_cats":["hep-lat","hep-th","nucl-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-10-17T19:01:04Z","title":"Effective model for pure Yang-Mills theory on $\\mathbb{T}^2\\times \\mathbb{R}^2$ with Polyakov loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.09363","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:e7a1c41e284c5dc2f528b1d21b58d4f365528c38062dbb963dfc8b3ca7868b48","target":"record","created_at":"2026-07-05T06:09:45Z","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":"15c870d53d67aa60d2bb5ed4caf7f74f585e9fb184f1406d4848ec8a64eae735","cross_cats_sorted":["hep-lat","hep-th","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-10-17T19:01:04Z","title_canon_sha256":"089a037cd9bf501113e6369b32cc45d3a3ddbafeb6f0f71f2e9088c9b78977b5"},"schema_version":"1.0","source":{"id":"2210.09363","kind":"arxiv","version":1}},"canonical_sha256":"2ae997e64b526aea44974c9988a5456c9d1391fcbb8cd00dcf2fa79ba6cf0249","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ae997e64b526aea44974c9988a5456c9d1391fcbb8cd00dcf2fa79ba6cf0249","first_computed_at":"2026-07-05T06:09:45.404396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:09:45.404396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yt8eCc1gwo9FbtpW6woeLoTe4lmGxq3jeXZW9XdqcatPxtQYBFY+cTtFQbrPLaK2jIy1fAyAcON24G1CAxJzAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:09:45.404886Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.09363","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7a1c41e284c5dc2f528b1d21b58d4f365528c38062dbb963dfc8b3ca7868b48","sha256:269946825f006293eac80fe5947fba95cf0989b99ea6d70ddc6ff609a8ca0fa0"],"state_sha256":"5f3bcd6b65a45e36cb484295dcc973268f6d8b63a501b829cc28f0300712b8ee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G9k1J+iCCteejxujWSULFDit41v7Xnw05uEXDow98tYdfHXgt70Kp9NMwhu0tt9rx8Z1fxwHscH8u5Le5KWqBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T02:53:23.852660Z","bundle_sha256":"7ad7bff9d4cfb7f86d63934880fed48b11c28ec607ce2e2cc80e39112570c13a"}}