{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:M7R7TOBZ54ZX3CHO7LXMSODPFH","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":"9258913497e3f85ba42a797c0140a8487d27f302d86d524c990055d9a365e892","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-05-22T14:19:13Z","title_canon_sha256":"ffda6a2c2c7f984638af9632115ba82cd4498bafd6334933b9c52d47f6aff8b7"},"schema_version":"1.0","source":{"id":"1705.07764","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.07764","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"arxiv_version","alias_value":"1705.07764v1","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07764","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"pith_short_12","alias_value":"M7R7TOBZ54ZX","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"M7R7TOBZ54ZX3CHO","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"M7R7TOBZ","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:06f0f89c4270eb9ee7ebf80c6b2cd2194452951cc9586d8a704aa710f54c37ad","target":"graph","created_at":"2026-05-18T00:38:39Z","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 apply the higher order tensor renormalization group to two and three dimensional relativistic fermion systems on the lattice. In order to perform a coarse-graining of tensor networks including Grassmann variables, we introduce Grassmann higher order tensor renormalization group. We test the validity of the new algorithm by comparing its results with those of exact or previous methods.","authors_text":"Ryo Sakai, Shinji Takeda, Yusuke Yoshimura","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-05-22T14:19:13Z","title":"Higher order tensor renormalization group for relativistic fermion systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07764","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:c17730e8863bf2f615406e161884b20c9d6c5a2bf63e1f1ad629ba744672770c","target":"record","created_at":"2026-05-18T00:38:39Z","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":"9258913497e3f85ba42a797c0140a8487d27f302d86d524c990055d9a365e892","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-05-22T14:19:13Z","title_canon_sha256":"ffda6a2c2c7f984638af9632115ba82cd4498bafd6334933b9c52d47f6aff8b7"},"schema_version":"1.0","source":{"id":"1705.07764","kind":"arxiv","version":1}},"canonical_sha256":"67e3f9b839ef337d88eefaeec9386f29e6adec9bc825398990e05bc194707eb4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67e3f9b839ef337d88eefaeec9386f29e6adec9bc825398990e05bc194707eb4","first_computed_at":"2026-05-18T00:38:39.611929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:39.611929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hwxEWshyLl79qXa6IFN933kf5Z8UMonbbb85QHsS6FnUGSkOV4769WTz06UqMIXDLklIMOl6PPkL8PS79/U7BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:39.612390Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.07764","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c17730e8863bf2f615406e161884b20c9d6c5a2bf63e1f1ad629ba744672770c","sha256:06f0f89c4270eb9ee7ebf80c6b2cd2194452951cc9586d8a704aa710f54c37ad"],"state_sha256":"9f9fe7792df36e0aa6d01f15eba8c8e46cc242bfaf05bd0ea9c367fa4d792db7"}