{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:G35F5NFG37VVOKELAGCCJFQIQS","short_pith_number":"pith:G35F5NFG","canonical_record":{"source":{"id":"1510.03333","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-10-12T15:22:44Z","cross_cats_sorted":["cond-mat.stat-mech","physics.comp-ph"],"title_canon_sha256":"cd4995cc8fa642962fe798bf6ee516cb405c4a792d10c7b4f34501a1fedac7b0","abstract_canon_sha256":"86952d172261c7535514b9dd0de006cc3d493d5c035f8c292740eb9ba2ee0979"},"schema_version":"1.0"},"canonical_sha256":"36fa5eb4a6dfeb57288b0184249608849f5209f2f7de3736264c560694d8ec6f","source":{"kind":"arxiv","id":"1510.03333","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03333","created_at":"2026-05-18T01:11:18Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03333v1","created_at":"2026-05-18T01:11:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03333","created_at":"2026-05-18T01:11:18Z"},{"alias_kind":"pith_short_12","alias_value":"G35F5NFG37VV","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"G35F5NFG37VVOKEL","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"G35F5NFG","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:G35F5NFG37VVOKELAGCCJFQIQS","target":"record","payload":{"canonical_record":{"source":{"id":"1510.03333","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-10-12T15:22:44Z","cross_cats_sorted":["cond-mat.stat-mech","physics.comp-ph"],"title_canon_sha256":"cd4995cc8fa642962fe798bf6ee516cb405c4a792d10c7b4f34501a1fedac7b0","abstract_canon_sha256":"86952d172261c7535514b9dd0de006cc3d493d5c035f8c292740eb9ba2ee0979"},"schema_version":"1.0"},"canonical_sha256":"36fa5eb4a6dfeb57288b0184249608849f5209f2f7de3736264c560694d8ec6f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:18.050461Z","signature_b64":"mMZhLD7Pr/5nRLvO0A6KUugeWK/kc363yQCe/T66Lu+mxfJ0+r98uweJ4ztvYLABj/UkW/7yNWZyMDX1BYMADg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36fa5eb4a6dfeb57288b0184249608849f5209f2f7de3736264c560694d8ec6f","last_reissued_at":"2026-05-18T01:11:18.049963Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:18.049963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.03333","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":"2026-05-18T01:11:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Od1ayRagfC+DArW6u42TxB7kdxIPTx/S2ZZcd+e7V6nNVDerw65JZqe8FOfsLxT4mO3Jz2+gOZq5G3uQueNhAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:04:16.950829Z"},"content_sha256":"a5e1563c1dccff04a825f920edfa0f107609895e3f14671a68ea603e31582c3a","schema_version":"1.0","event_id":"sha256:a5e1563c1dccff04a825f920edfa0f107609895e3f14671a68ea603e31582c3a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:G35F5NFG37VVOKELAGCCJFQIQS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tensor network algorithm by coarse-graining tensor renormalization on finite periodic lattices","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":"Hui-Hai Zhao, Masatoshi Imada, Tao Xiang, Zhi-Yuan Xie","submitted_at":"2015-10-12T15:22:44Z","abstract_excerpt":"We develop coarse-graining tensor renormalization group algorithms to compute physical properties of two-dimensional lattice models on finite periodic lattices. Two different coarse-graining strategies, one based on the tensor renormalization group and the other based on the higher-order tensor renormalization group, are introduced. In order to optimize the tensor-network model globally, a sweeping scheme is proposed to account for the renormalization effect from the environment tensors under the framework of second renormalization group. We demonstrate the algorithms by the classical Ising mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03333","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":"2026-05-18T01:11:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fJ7tAbw/60dKKQn0oBx+romnJq9IxSXBGHdyzleGNbclJznI7DBT1C5HK1mAdaGiLV7mnu+niakJ1LmVYro3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:04:16.951565Z"},"content_sha256":"0c7fbaf3a0dd85913f91c97bc31738d3ef4bfa8067324e268743162063a32d73","schema_version":"1.0","event_id":"sha256:0c7fbaf3a0dd85913f91c97bc31738d3ef4bfa8067324e268743162063a32d73"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G35F5NFG37VVOKELAGCCJFQIQS/bundle.json","state_url":"https://pith.science/pith/G35F5NFG37VVOKELAGCCJFQIQS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G35F5NFG37VVOKELAGCCJFQIQS/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":"2026-05-25T17:04:16Z","links":{"resolver":"https://pith.science/pith/G35F5NFG37VVOKELAGCCJFQIQS","bundle":"https://pith.science/pith/G35F5NFG37VVOKELAGCCJFQIQS/bundle.json","state":"https://pith.science/pith/G35F5NFG37VVOKELAGCCJFQIQS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G35F5NFG37VVOKELAGCCJFQIQS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:G35F5NFG37VVOKELAGCCJFQIQS","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":"86952d172261c7535514b9dd0de006cc3d493d5c035f8c292740eb9ba2ee0979","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":"2015-10-12T15:22:44Z","title_canon_sha256":"cd4995cc8fa642962fe798bf6ee516cb405c4a792d10c7b4f34501a1fedac7b0"},"schema_version":"1.0","source":{"id":"1510.03333","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03333","created_at":"2026-05-18T01:11:18Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03333v1","created_at":"2026-05-18T01:11:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03333","created_at":"2026-05-18T01:11:18Z"},{"alias_kind":"pith_short_12","alias_value":"G35F5NFG37VV","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"G35F5NFG37VVOKEL","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"G35F5NFG","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:0c7fbaf3a0dd85913f91c97bc31738d3ef4bfa8067324e268743162063a32d73","target":"graph","created_at":"2026-05-18T01:11:18Z","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 develop coarse-graining tensor renormalization group algorithms to compute physical properties of two-dimensional lattice models on finite periodic lattices. Two different coarse-graining strategies, one based on the tensor renormalization group and the other based on the higher-order tensor renormalization group, are introduced. In order to optimize the tensor-network model globally, a sweeping scheme is proposed to account for the renormalization effect from the environment tensors under the framework of second renormalization group. We demonstrate the algorithms by the classical Ising mo","authors_text":"Hui-Hai Zhao, Masatoshi Imada, Tao Xiang, Zhi-Yuan Xie","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":"2015-10-12T15:22:44Z","title":"Tensor network algorithm by coarse-graining tensor renormalization on finite periodic lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03333","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:a5e1563c1dccff04a825f920edfa0f107609895e3f14671a68ea603e31582c3a","target":"record","created_at":"2026-05-18T01:11:18Z","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":"86952d172261c7535514b9dd0de006cc3d493d5c035f8c292740eb9ba2ee0979","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":"2015-10-12T15:22:44Z","title_canon_sha256":"cd4995cc8fa642962fe798bf6ee516cb405c4a792d10c7b4f34501a1fedac7b0"},"schema_version":"1.0","source":{"id":"1510.03333","kind":"arxiv","version":1}},"canonical_sha256":"36fa5eb4a6dfeb57288b0184249608849f5209f2f7de3736264c560694d8ec6f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36fa5eb4a6dfeb57288b0184249608849f5209f2f7de3736264c560694d8ec6f","first_computed_at":"2026-05-18T01:11:18.049963Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:18.049963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mMZhLD7Pr/5nRLvO0A6KUugeWK/kc363yQCe/T66Lu+mxfJ0+r98uweJ4ztvYLABj/UkW/7yNWZyMDX1BYMADg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:18.050461Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.03333","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5e1563c1dccff04a825f920edfa0f107609895e3f14671a68ea603e31582c3a","sha256:0c7fbaf3a0dd85913f91c97bc31738d3ef4bfa8067324e268743162063a32d73"],"state_sha256":"899d20551d69c29acb344a3ca5365cecdd722ba676e9a076c3ea43bfdcb08817"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"je1PnitMWx7nTPKsDbQq0qDjcxGNFFDntPTDaDHj95RweGsgSxtIPJA21BMTjuDltZytJk1CI2PSfOkdgqWnDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:04:16.955736Z","bundle_sha256":"3a965b0ae91a1b5f3770a8d23b513e3ae3ceb4d0950f96a9874a8e88e84f9b64"}}