{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7PUFHRTZEIONCOFRNAWLZKYVUU","short_pith_number":"pith:7PUFHRTZ","canonical_record":{"source":{"id":"1503.01077","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-03-03T19:55:48Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"18c298474560756eb4b124d4f4f580915e47ba1ab7c9bfb828f62752c106c562","abstract_canon_sha256":"3511634b73f29fe800fd47523df5861b7fbf4d1ef160edb05c1dc7c0e1a4ed92"},"schema_version":"1.0"},"canonical_sha256":"fbe853c679221cd138b1682cbcab15a51461bda2324106f10d99f1d6eaa6bdeb","source":{"kind":"arxiv","id":"1503.01077","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01077","created_at":"2026-05-18T01:36:06Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01077v3","created_at":"2026-05-18T01:36:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01077","created_at":"2026-05-18T01:36:06Z"},{"alias_kind":"pith_short_12","alias_value":"7PUFHRTZEION","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7PUFHRTZEIONCOFR","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7PUFHRTZ","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7PUFHRTZEIONCOFRNAWLZKYVUU","target":"record","payload":{"canonical_record":{"source":{"id":"1503.01077","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-03-03T19:55:48Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"18c298474560756eb4b124d4f4f580915e47ba1ab7c9bfb828f62752c106c562","abstract_canon_sha256":"3511634b73f29fe800fd47523df5861b7fbf4d1ef160edb05c1dc7c0e1a4ed92"},"schema_version":"1.0"},"canonical_sha256":"fbe853c679221cd138b1682cbcab15a51461bda2324106f10d99f1d6eaa6bdeb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:06.966881Z","signature_b64":"rjX/CpwKB/6JrB9e6pzB4n6uN8bM/eaYBHOJf2I+k+4zRU7wWKOo9ZeGJ3lEKIUWekmCI5vYLq8/0lB1ZETiAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbe853c679221cd138b1682cbcab15a51461bda2324106f10d99f1d6eaa6bdeb","last_reissued_at":"2026-05-18T01:36:06.966170Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:06.966170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.01077","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:36:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Qzi7psUV/UWsyo8Om8ZK+hkKlj5utIbs+rorca9NeQIWA3Hvhj2o/NJzC5XG/ctzqlDYw8MScWLAnTBsJ8aAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:58:10.490298Z"},"content_sha256":"045296bf7cadb2886575307bb1b88193dec4e2ff6beb2cbd69bc841b88b1f0ce","schema_version":"1.0","event_id":"sha256:045296bf7cadb2886575307bb1b88193dec4e2ff6beb2cbd69bc841b88b1f0ce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7PUFHRTZEIONCOFRNAWLZKYVUU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variational Approach to Projected Entangled Pair States at Finite Temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Jacek Dziarmaga, Piotr Czarnik","submitted_at":"2015-03-03T19:55:48Z","abstract_excerpt":"The projected entangled pair state (PEPS) ansatz can represent a thermal state in a strongly correlated system. We introduce a novel variational algorithm to optimize this tensor network. Since full tensor environment is taken into account, then with increasing bond dimension the optimized PEPS becomes the exact Gibbs state. Our presentation opens with a 1D version for a matrix product state (MPS) and then generalizes to PEPS in 2D. Benchmark results in the quantum Ising model are presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01077","kind":"arxiv","version":3},"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":"2026-05-18T01:36:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X33V2n6VjPODuUlZUAgVDgDRZ1PobzFBqQZFhysHEjnThkWpHJ2eAcnHY0PSRqk0FU8D2SfCp7q7nLFjgpIeDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:58:10.491004Z"},"content_sha256":"f54723568b6410a956346e8e6283efce55c2db7f7abdfbcad522ac49215ccdbc","schema_version":"1.0","event_id":"sha256:f54723568b6410a956346e8e6283efce55c2db7f7abdfbcad522ac49215ccdbc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7PUFHRTZEIONCOFRNAWLZKYVUU/bundle.json","state_url":"https://pith.science/pith/7PUFHRTZEIONCOFRNAWLZKYVUU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7PUFHRTZEIONCOFRNAWLZKYVUU/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":"2026-05-27T09:58:10Z","links":{"resolver":"https://pith.science/pith/7PUFHRTZEIONCOFRNAWLZKYVUU","bundle":"https://pith.science/pith/7PUFHRTZEIONCOFRNAWLZKYVUU/bundle.json","state":"https://pith.science/pith/7PUFHRTZEIONCOFRNAWLZKYVUU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7PUFHRTZEIONCOFRNAWLZKYVUU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7PUFHRTZEIONCOFRNAWLZKYVUU","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":"3511634b73f29fe800fd47523df5861b7fbf4d1ef160edb05c1dc7c0e1a4ed92","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-03-03T19:55:48Z","title_canon_sha256":"18c298474560756eb4b124d4f4f580915e47ba1ab7c9bfb828f62752c106c562"},"schema_version":"1.0","source":{"id":"1503.01077","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01077","created_at":"2026-05-18T01:36:06Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01077v3","created_at":"2026-05-18T01:36:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01077","created_at":"2026-05-18T01:36:06Z"},{"alias_kind":"pith_short_12","alias_value":"7PUFHRTZEION","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7PUFHRTZEIONCOFR","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7PUFHRTZ","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:f54723568b6410a956346e8e6283efce55c2db7f7abdfbcad522ac49215ccdbc","target":"graph","created_at":"2026-05-18T01:36:06Z","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":"The projected entangled pair state (PEPS) ansatz can represent a thermal state in a strongly correlated system. We introduce a novel variational algorithm to optimize this tensor network. Since full tensor environment is taken into account, then with increasing bond dimension the optimized PEPS becomes the exact Gibbs state. Our presentation opens with a 1D version for a matrix product state (MPS) and then generalizes to PEPS in 2D. Benchmark results in the quantum Ising model are presented.","authors_text":"Jacek Dziarmaga, Piotr Czarnik","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-03-03T19:55:48Z","title":"Variational Approach to Projected Entangled Pair States at Finite Temperature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01077","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":"sha256:045296bf7cadb2886575307bb1b88193dec4e2ff6beb2cbd69bc841b88b1f0ce","target":"record","created_at":"2026-05-18T01:36:06Z","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":"3511634b73f29fe800fd47523df5861b7fbf4d1ef160edb05c1dc7c0e1a4ed92","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-03-03T19:55:48Z","title_canon_sha256":"18c298474560756eb4b124d4f4f580915e47ba1ab7c9bfb828f62752c106c562"},"schema_version":"1.0","source":{"id":"1503.01077","kind":"arxiv","version":3}},"canonical_sha256":"fbe853c679221cd138b1682cbcab15a51461bda2324106f10d99f1d6eaa6bdeb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbe853c679221cd138b1682cbcab15a51461bda2324106f10d99f1d6eaa6bdeb","first_computed_at":"2026-05-18T01:36:06.966170Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:06.966170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rjX/CpwKB/6JrB9e6pzB4n6uN8bM/eaYBHOJf2I+k+4zRU7wWKOo9ZeGJ3lEKIUWekmCI5vYLq8/0lB1ZETiAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:06.966881Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.01077","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:045296bf7cadb2886575307bb1b88193dec4e2ff6beb2cbd69bc841b88b1f0ce","sha256:f54723568b6410a956346e8e6283efce55c2db7f7abdfbcad522ac49215ccdbc"],"state_sha256":"bd0099c321be9b9f08f7e134d41a7f7cd2168c0bd58158f0db552bee82300a8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E5YeX1AX3nBkM4S/VLLp1NbuwwKcswY7eTwKGsX41hGzNIzA16qXnSWCADw0l3P1BHCRQX/a5GbHGYS/lrQPCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:58:10.494645Z","bundle_sha256":"dc65a1886cc6abf26b7d72515b8630ad9e3a3f6515531b24d645a7dfa626f7e3"}}