{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:KRIY2NQVY26SEFX3TBD2SLZV4C","short_pith_number":"pith:KRIY2NQV","canonical_record":{"source":{"id":"1811.01550","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2018-11-05T08:36:37Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b95ef8b16852542ae3af9a05aa05bc0a722b7e0ee20cd8161f289c3dc2a4e43b","abstract_canon_sha256":"f133c4607f96db7031c6c422b731ee877a5d50f82ad013d53f9fee166d557fcf"},"schema_version":"1.0"},"canonical_sha256":"54518d3615c6bd2216fb9847a92f35e0b2fb84e17cd603a31cc54c94a963e018","source":{"kind":"arxiv","id":"1811.01550","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.01550","created_at":"2026-05-17T23:47:59Z"},{"alias_kind":"arxiv_version","alias_value":"1811.01550v2","created_at":"2026-05-17T23:47:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.01550","created_at":"2026-05-17T23:47:59Z"},{"alias_kind":"pith_short_12","alias_value":"KRIY2NQVY26S","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KRIY2NQVY26SEFX3","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KRIY2NQV","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:KRIY2NQVY26SEFX3TBD2SLZV4C","target":"record","payload":{"canonical_record":{"source":{"id":"1811.01550","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2018-11-05T08:36:37Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b95ef8b16852542ae3af9a05aa05bc0a722b7e0ee20cd8161f289c3dc2a4e43b","abstract_canon_sha256":"f133c4607f96db7031c6c422b731ee877a5d50f82ad013d53f9fee166d557fcf"},"schema_version":"1.0"},"canonical_sha256":"54518d3615c6bd2216fb9847a92f35e0b2fb84e17cd603a31cc54c94a963e018","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:59.257640Z","signature_b64":"ncXrhwKt8UecZBryYt6sjE2R4qNd0k8YKu91j9sQLt3qDnaOhwb7ZfPjGh1miIXRQwSLkcAnr4ejeyDERgS0DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54518d3615c6bd2216fb9847a92f35e0b2fb84e17cd603a31cc54c94a963e018","last_reissued_at":"2026-05-17T23:47:59.257242Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:59.257242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.01550","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:47:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xZk4kGe/GZ4eKbbMJpsusTtDaQI+FSD8/SUN09N1fJq0Quuf+C+asehWOrEX29NrclaKqFJ9MONXPs+79sDtAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T02:41:50.313862Z"},"content_sha256":"d5d2f11f19c47e83c9b38ea26f1823b5f4122b4a9216fd11635d535c8a697e41","schema_version":"1.0","event_id":"sha256:d5d2f11f19c47e83c9b38ea26f1823b5f4122b4a9216fd11635d535c8a697e41"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:KRIY2NQVY26SEFX3TBD2SLZV4C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase structure of lattice Yang-Mills theory on ${\\mathbb T}^2 \\times {\\mathbb R}^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"A. V. Molochkov, M. N. Chernodub, V. A. Goy","submitted_at":"2018-11-05T08:36:37Z","abstract_excerpt":"We study properties of SU(2) Yang-Mills theory on a four-dimensional Euclidean spacetime in which two directions are compactified into a finite two-dimensional torus ${\\mathbb T}^2$ while two others constitute a large ${\\mathbb R}^2$ subspace. This Euclidean ${\\mathbb T}^2 \\times {\\mathbb R}^2$ manifold corresponds simultaneously to two systems in a (3+1) dimensional Minkowski spacetime: a zero-temperature theory with two compactified spatial dimensions and a finite-temperature theory with one compactified spatial dimension. Using numerical lattice simulations we show that the model exhibits t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.01550","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":""},"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":"2026-05-17T23:47:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"In6gOYeVM+QFZJFmkizwtGX5GiWC99cBFsWmZAb4zj/9lKCSC9rOlgyXXIbuQKI1Sl7557P7F/ySV4efEADRCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T02:41:50.314362Z"},"content_sha256":"1abc3c424d2d4fc632058538c294364d46621a7bba1bd4e2493917e3fda16c75","schema_version":"1.0","event_id":"sha256:1abc3c424d2d4fc632058538c294364d46621a7bba1bd4e2493917e3fda16c75"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KRIY2NQVY26SEFX3TBD2SLZV4C/bundle.json","state_url":"https://pith.science/pith/KRIY2NQVY26SEFX3TBD2SLZV4C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KRIY2NQVY26SEFX3TBD2SLZV4C/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":"2026-05-30T02:41:50Z","links":{"resolver":"https://pith.science/pith/KRIY2NQVY26SEFX3TBD2SLZV4C","bundle":"https://pith.science/pith/KRIY2NQVY26SEFX3TBD2SLZV4C/bundle.json","state":"https://pith.science/pith/KRIY2NQVY26SEFX3TBD2SLZV4C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KRIY2NQVY26SEFX3TBD2SLZV4C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KRIY2NQVY26SEFX3TBD2SLZV4C","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":"f133c4607f96db7031c6c422b731ee877a5d50f82ad013d53f9fee166d557fcf","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2018-11-05T08:36:37Z","title_canon_sha256":"b95ef8b16852542ae3af9a05aa05bc0a722b7e0ee20cd8161f289c3dc2a4e43b"},"schema_version":"1.0","source":{"id":"1811.01550","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.01550","created_at":"2026-05-17T23:47:59Z"},{"alias_kind":"arxiv_version","alias_value":"1811.01550v2","created_at":"2026-05-17T23:47:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.01550","created_at":"2026-05-17T23:47:59Z"},{"alias_kind":"pith_short_12","alias_value":"KRIY2NQVY26S","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KRIY2NQVY26SEFX3","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KRIY2NQV","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:1abc3c424d2d4fc632058538c294364d46621a7bba1bd4e2493917e3fda16c75","target":"graph","created_at":"2026-05-17T23:47:59Z","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 study properties of SU(2) Yang-Mills theory on a four-dimensional Euclidean spacetime in which two directions are compactified into a finite two-dimensional torus ${\\mathbb T}^2$ while two others constitute a large ${\\mathbb R}^2$ subspace. This Euclidean ${\\mathbb T}^2 \\times {\\mathbb R}^2$ manifold corresponds simultaneously to two systems in a (3+1) dimensional Minkowski spacetime: a zero-temperature theory with two compactified spatial dimensions and a finite-temperature theory with one compactified spatial dimension. Using numerical lattice simulations we show that the model exhibits t","authors_text":"A. V. Molochkov, M. N. Chernodub, V. A. Goy","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2018-11-05T08:36:37Z","title":"Phase structure of lattice Yang-Mills theory on ${\\mathbb T}^2 \\times {\\mathbb R}^2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.01550","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:d5d2f11f19c47e83c9b38ea26f1823b5f4122b4a9216fd11635d535c8a697e41","target":"record","created_at":"2026-05-17T23:47:59Z","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":"f133c4607f96db7031c6c422b731ee877a5d50f82ad013d53f9fee166d557fcf","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2018-11-05T08:36:37Z","title_canon_sha256":"b95ef8b16852542ae3af9a05aa05bc0a722b7e0ee20cd8161f289c3dc2a4e43b"},"schema_version":"1.0","source":{"id":"1811.01550","kind":"arxiv","version":2}},"canonical_sha256":"54518d3615c6bd2216fb9847a92f35e0b2fb84e17cd603a31cc54c94a963e018","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54518d3615c6bd2216fb9847a92f35e0b2fb84e17cd603a31cc54c94a963e018","first_computed_at":"2026-05-17T23:47:59.257242Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:59.257242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ncXrhwKt8UecZBryYt6sjE2R4qNd0k8YKu91j9sQLt3qDnaOhwb7ZfPjGh1miIXRQwSLkcAnr4ejeyDERgS0DA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:59.257640Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.01550","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5d2f11f19c47e83c9b38ea26f1823b5f4122b4a9216fd11635d535c8a697e41","sha256:1abc3c424d2d4fc632058538c294364d46621a7bba1bd4e2493917e3fda16c75"],"state_sha256":"5ff0f23841a1d4e7ad0549407cd5bbb459f553b38212fdf0a4a240c89015b6d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HzZaCOM1vbGyzLIV8sRmLnYkBJfN6cFwPwe1oumGtY+sCBXyH3b1NGfsgR+gLBkyQOnVya/QR6M5LqiY1xjIDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T02:41:50.317447Z","bundle_sha256":"6b9baf15b8eb77c0f3c6a8e69ec6bda3600994d5fb54617254106b0b2cfc3c37"}}