{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:R2N2KG5IR6N3Q6RAPGRJPSIXNJ","short_pith_number":"pith:R2N2KG5I","canonical_record":{"source":{"id":"1301.6439","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-01-28T04:06:03Z","cross_cats_sorted":["cond-mat.stat-mech","physics.comp-ph"],"title_canon_sha256":"ed27a23ac2234768725852f6f2aeb0a56127d45b462810b99d582eab223e40ae","abstract_canon_sha256":"c93b57079a46db0372694d823ef3b913b8687cc2310f33a070df0d3cdab7241b"},"schema_version":"1.0"},"canonical_sha256":"8e9ba51ba88f9bb87a2079a297c9176a445da720c004eb5694224dd47a3ef717","source":{"kind":"arxiv","id":"1301.6439","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6439","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6439v2","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6439","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"R2N2KG5IR6N3","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"R2N2KG5IR6N3Q6RA","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"R2N2KG5I","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:R2N2KG5IR6N3Q6RAPGRJPSIXNJ","target":"record","payload":{"canonical_record":{"source":{"id":"1301.6439","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-01-28T04:06:03Z","cross_cats_sorted":["cond-mat.stat-mech","physics.comp-ph"],"title_canon_sha256":"ed27a23ac2234768725852f6f2aeb0a56127d45b462810b99d582eab223e40ae","abstract_canon_sha256":"c93b57079a46db0372694d823ef3b913b8687cc2310f33a070df0d3cdab7241b"},"schema_version":"1.0"},"canonical_sha256":"8e9ba51ba88f9bb87a2079a297c9176a445da720c004eb5694224dd47a3ef717","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:43.470610Z","signature_b64":"0OqUjRFlH8KnJ25b/mZCrLu+lpUOjiPSy9vFx3ONwqwmt79gaRdIRAJk9Hottq1W+bQKEkQmYesT0Kd0++E7Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e9ba51ba88f9bb87a2079a297c9176a445da720c004eb5694224dd47a3ef717","last_reissued_at":"2026-05-18T03:15:43.469852Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:43.469852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.6439","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":"2026-05-18T03:15:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aAU07deLbJap41wJXxja8Qo55Nh8YoS3YBIEfoa2bR2qDiXw+i8S3Bt0nmPmIxaXizhGgAy2qBhEOlqQDmEgCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:56:21.373289Z"},"content_sha256":"459a2d8f6fdc67cb8f0cc1e5fb010a120b8dbcc67c1e8496b73d89335227d35f","schema_version":"1.0","event_id":"sha256:459a2d8f6fdc67cb8f0cc1e5fb010a120b8dbcc67c1e8496b73d89335227d35f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:R2N2KG5IR6N3Q6RAPGRJPSIXNJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Theory of Network Contractor Dynamics for Exploring Thermodynamic Properties of Two-dimensional Quantum Lattice Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.comp-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Bin Xi, Gang Su, Shi-Ju Ran, Tao Liu","submitted_at":"2013-01-28T04:06:03Z","abstract_excerpt":"Based on the tensor network state representation, we develop a nonlinear dynamic theory coined as network contractor dynamics (NCD) to explore the thermodynamic properties of two-dimensional quantum lattice models. By invoking the rank-$1$ decomposition in the multi-linear algebra, the NCD scheme makes the contraction of the tensor network of the partition function be realized through a contraction of a local tensor cluster with vectors on its boundary. An imaginary-time-sweep algorithm for implementation of the NCD method is proposed for practical numerical simulations. We benchmark the NCD s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6439","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":"2026-05-18T03:15:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jUvDmvQxhgY/matEc0E9WnMbnjHZ4E/RVIEzqyG0xgTzthtq55T1oX7nD+Fda9hO7LUGpcISkVMJvnget2EpBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:56:21.373651Z"},"content_sha256":"bed385df3a97875dab667cd3f12782377c6344cc6ff4d4fe4de46d4c11a70f08","schema_version":"1.0","event_id":"sha256:bed385df3a97875dab667cd3f12782377c6344cc6ff4d4fe4de46d4c11a70f08"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R2N2KG5IR6N3Q6RAPGRJPSIXNJ/bundle.json","state_url":"https://pith.science/pith/R2N2KG5IR6N3Q6RAPGRJPSIXNJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R2N2KG5IR6N3Q6RAPGRJPSIXNJ/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":"2026-05-28T14:56:21Z","links":{"resolver":"https://pith.science/pith/R2N2KG5IR6N3Q6RAPGRJPSIXNJ","bundle":"https://pith.science/pith/R2N2KG5IR6N3Q6RAPGRJPSIXNJ/bundle.json","state":"https://pith.science/pith/R2N2KG5IR6N3Q6RAPGRJPSIXNJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R2N2KG5IR6N3Q6RAPGRJPSIXNJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:R2N2KG5IR6N3Q6RAPGRJPSIXNJ","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":"c93b57079a46db0372694d823ef3b913b8687cc2310f33a070df0d3cdab7241b","cross_cats_sorted":["cond-mat.stat-mech","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-01-28T04:06:03Z","title_canon_sha256":"ed27a23ac2234768725852f6f2aeb0a56127d45b462810b99d582eab223e40ae"},"schema_version":"1.0","source":{"id":"1301.6439","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6439","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6439v2","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6439","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"R2N2KG5IR6N3","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"R2N2KG5IR6N3Q6RA","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"R2N2KG5I","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:bed385df3a97875dab667cd3f12782377c6344cc6ff4d4fe4de46d4c11a70f08","target":"graph","created_at":"2026-05-18T03:15:43Z","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":"Based on the tensor network state representation, we develop a nonlinear dynamic theory coined as network contractor dynamics (NCD) to explore the thermodynamic properties of two-dimensional quantum lattice models. By invoking the rank-$1$ decomposition in the multi-linear algebra, the NCD scheme makes the contraction of the tensor network of the partition function be realized through a contraction of a local tensor cluster with vectors on its boundary. An imaginary-time-sweep algorithm for implementation of the NCD method is proposed for practical numerical simulations. We benchmark the NCD s","authors_text":"Bin Xi, Gang Su, Shi-Ju Ran, Tao Liu","cross_cats":["cond-mat.stat-mech","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-01-28T04:06:03Z","title":"Theory of Network Contractor Dynamics for Exploring Thermodynamic Properties of Two-dimensional Quantum Lattice Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6439","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":"sha256:459a2d8f6fdc67cb8f0cc1e5fb010a120b8dbcc67c1e8496b73d89335227d35f","target":"record","created_at":"2026-05-18T03:15:43Z","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":"c93b57079a46db0372694d823ef3b913b8687cc2310f33a070df0d3cdab7241b","cross_cats_sorted":["cond-mat.stat-mech","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-01-28T04:06:03Z","title_canon_sha256":"ed27a23ac2234768725852f6f2aeb0a56127d45b462810b99d582eab223e40ae"},"schema_version":"1.0","source":{"id":"1301.6439","kind":"arxiv","version":2}},"canonical_sha256":"8e9ba51ba88f9bb87a2079a297c9176a445da720c004eb5694224dd47a3ef717","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e9ba51ba88f9bb87a2079a297c9176a445da720c004eb5694224dd47a3ef717","first_computed_at":"2026-05-18T03:15:43.469852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:43.469852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0OqUjRFlH8KnJ25b/mZCrLu+lpUOjiPSy9vFx3ONwqwmt79gaRdIRAJk9Hottq1W+bQKEkQmYesT0Kd0++E7Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:43.470610Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.6439","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:459a2d8f6fdc67cb8f0cc1e5fb010a120b8dbcc67c1e8496b73d89335227d35f","sha256:bed385df3a97875dab667cd3f12782377c6344cc6ff4d4fe4de46d4c11a70f08"],"state_sha256":"56954edc373fa0c945562ea52569cc640aab345e41911b7174011d00fe1bf9ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZER0dvsVNDNqcHbY9U46TBKJoVO7R5obHiYWhmtLphEzmPiNnb/wItXEd1C2nkzl3bBfLDaJdb7azYG0PrtoAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:56:21.375684Z","bundle_sha256":"3c3be59e33fe78307753051f23368d4c466bb6ea5aa94033fd6c4206ee66ff91"}}