{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TR7ORSG73PQFYTODWHAFXF2FJD","short_pith_number":"pith:TR7ORSG7","canonical_record":{"source":{"id":"1312.6847","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-24T16:12:58Z","cross_cats_sorted":[],"title_canon_sha256":"2d080eeeccc266fb200838b76fd004da3a5f79e85bedf577978585996a2bf687","abstract_canon_sha256":"845b2c2d02e8ad92e034deac542a4e5bdf349453f7fbed29d06248cabdb26b4c"},"schema_version":"1.0"},"canonical_sha256":"9c7ee8c8dfdbe05c4dc3b1c05b974548d7e506ac1031370dfa57da53062dd9d9","source":{"kind":"arxiv","id":"1312.6847","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6847","created_at":"2026-05-18T03:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6847v1","created_at":"2026-05-18T03:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6847","created_at":"2026-05-18T03:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"TR7ORSG73PQF","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TR7ORSG73PQFYTOD","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TR7ORSG7","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TR7ORSG73PQFYTODWHAFXF2FJD","target":"record","payload":{"canonical_record":{"source":{"id":"1312.6847","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-24T16:12:58Z","cross_cats_sorted":[],"title_canon_sha256":"2d080eeeccc266fb200838b76fd004da3a5f79e85bedf577978585996a2bf687","abstract_canon_sha256":"845b2c2d02e8ad92e034deac542a4e5bdf349453f7fbed29d06248cabdb26b4c"},"schema_version":"1.0"},"canonical_sha256":"9c7ee8c8dfdbe05c4dc3b1c05b974548d7e506ac1031370dfa57da53062dd9d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:55.843774Z","signature_b64":"vtW0GP53pclSRhFEwst6ymFLbVvVr2zTyoVSWmo30VFXbYzWF2eOKFV6NDCs/n4lal2mossqlYny/7kC9k7SBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c7ee8c8dfdbe05c4dc3b1c05b974548d7e506ac1031370dfa57da53062dd9d9","last_reissued_at":"2026-05-18T03:03:55.843203Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:55.843203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.6847","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":"2026-05-18T03:03:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vjziHamVRQjvEX0der926eP7H4Lb61cyj7oyAe9FlpjrEObYXTWI9bgisCR92Xmj6LnKM2KuHL4lqONqmUHrDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:38:48.126487Z"},"content_sha256":"1ab88127eefd440480b06fb799369008e28050a0dba4b3e8b572018bf0a4ce8f","schema_version":"1.0","event_id":"sha256:1ab88127eefd440480b06fb799369008e28050a0dba4b3e8b572018bf0a4ce8f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TR7ORSG73PQFYTODWHAFXF2FJD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$2D$ and $3D$ Antiferromagnetic Ising Model with topological term at $\\theta=\\pi$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Eduardo Follana, Gennaro Cortese, Matteo Giordano, Vicente Azcoiti","submitted_at":"2013-12-24T16:12:58Z","abstract_excerpt":"We study the two and three-dimensional Antiferromagnetic Ising Model with an imaginary magnetic field $i\\theta$ at $\\theta = \\pi$. We use a new geometric algorithm which does not present a sign problem. This allows us to perform efficient numerical simulations of this system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6847","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":"2026-05-18T03:03:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nhRi1xWFg5kf5YRXDKZlj9emf4akFRhzrG9Ql0f+ZeaWhBZqNl/YvWj3DWdmdyQKNr/TWa5ZzZSGW9wzE1QCBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:38:48.127121Z"},"content_sha256":"29dfc4faed0ad861b8d9874d081c844aa6c0f7720e3b849135fc2dc87af7a438","schema_version":"1.0","event_id":"sha256:29dfc4faed0ad861b8d9874d081c844aa6c0f7720e3b849135fc2dc87af7a438"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TR7ORSG73PQFYTODWHAFXF2FJD/bundle.json","state_url":"https://pith.science/pith/TR7ORSG73PQFYTODWHAFXF2FJD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TR7ORSG73PQFYTODWHAFXF2FJD/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":"2026-05-30T07:38:48Z","links":{"resolver":"https://pith.science/pith/TR7ORSG73PQFYTODWHAFXF2FJD","bundle":"https://pith.science/pith/TR7ORSG73PQFYTODWHAFXF2FJD/bundle.json","state":"https://pith.science/pith/TR7ORSG73PQFYTODWHAFXF2FJD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TR7ORSG73PQFYTODWHAFXF2FJD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TR7ORSG73PQFYTODWHAFXF2FJD","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":"845b2c2d02e8ad92e034deac542a4e5bdf349453f7fbed29d06248cabdb26b4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-24T16:12:58Z","title_canon_sha256":"2d080eeeccc266fb200838b76fd004da3a5f79e85bedf577978585996a2bf687"},"schema_version":"1.0","source":{"id":"1312.6847","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6847","created_at":"2026-05-18T03:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6847v1","created_at":"2026-05-18T03:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6847","created_at":"2026-05-18T03:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"TR7ORSG73PQF","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TR7ORSG73PQFYTOD","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TR7ORSG7","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:29dfc4faed0ad861b8d9874d081c844aa6c0f7720e3b849135fc2dc87af7a438","target":"graph","created_at":"2026-05-18T03:03:55Z","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 the two and three-dimensional Antiferromagnetic Ising Model with an imaginary magnetic field $i\\theta$ at $\\theta = \\pi$. We use a new geometric algorithm which does not present a sign problem. This allows us to perform efficient numerical simulations of this system.","authors_text":"Eduardo Follana, Gennaro Cortese, Matteo Giordano, Vicente Azcoiti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-24T16:12:58Z","title":"$2D$ and $3D$ Antiferromagnetic Ising Model with topological term at $\\theta=\\pi$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6847","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":"sha256:1ab88127eefd440480b06fb799369008e28050a0dba4b3e8b572018bf0a4ce8f","target":"record","created_at":"2026-05-18T03:03:55Z","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":"845b2c2d02e8ad92e034deac542a4e5bdf349453f7fbed29d06248cabdb26b4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-12-24T16:12:58Z","title_canon_sha256":"2d080eeeccc266fb200838b76fd004da3a5f79e85bedf577978585996a2bf687"},"schema_version":"1.0","source":{"id":"1312.6847","kind":"arxiv","version":1}},"canonical_sha256":"9c7ee8c8dfdbe05c4dc3b1c05b974548d7e506ac1031370dfa57da53062dd9d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c7ee8c8dfdbe05c4dc3b1c05b974548d7e506ac1031370dfa57da53062dd9d9","first_computed_at":"2026-05-18T03:03:55.843203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:55.843203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vtW0GP53pclSRhFEwst6ymFLbVvVr2zTyoVSWmo30VFXbYzWF2eOKFV6NDCs/n4lal2mossqlYny/7kC9k7SBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:55.843774Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.6847","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ab88127eefd440480b06fb799369008e28050a0dba4b3e8b572018bf0a4ce8f","sha256:29dfc4faed0ad861b8d9874d081c844aa6c0f7720e3b849135fc2dc87af7a438"],"state_sha256":"7b871d6ac317909f0f24eab086ee062f31b30936210b318d14e0c49c07cdf948"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZqC6LdCgDNdM+pmgk+XGD5VholYhK+03VISgSLUAN8N5vmga7K7z5QlYmq1YZymMZXbt7pCzQ9hiPDwg8nbvBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:38:48.130307Z","bundle_sha256":"c68df5f7eeacfac07ca45efcf169c32714525ca9669856b9615464851fe89fab"}}