{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:6I64JDRRMJLKK2KKDJQU45ESKF","short_pith_number":"pith:6I64JDRR","schema_version":"1.0","canonical_sha256":"f23dc48e316256a5694a1a614e74925141a8869a83ec26915e5d97a8434acef1","source":{"kind":"arxiv","id":"1812.00166","version":1},"attestation_state":"computed","paper":{"title":"Tensor network study of two dimensional lattice $\\phi^{4}$ theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Daisuke Kadoh, Ryo Sakai, Shinji Takeda, Yoshifumi Nakamura, Yoshinobu Kuramashi, Yusuke Yoshimura","submitted_at":"2018-12-01T07:35:33Z","abstract_excerpt":"The tensor renormalization group attracts great attention as a new numerical method that is free of the sign problem. In addition to this striking feature, it also has an attractive aspect as a coarse-graining of space-time; the computational cost scales logarithmically with the space-time volume. This fact allows us to aggressively approach the thermodynamic limit. While taking this advantage, we study the critical coupling of the two dimensional $\\phi^{4}$ theory on large and fine lattices. We present the numerical results along with the extrapolation procedure to the continuum limit and com"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1812.00166","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2018-12-01T07:35:33Z","cross_cats_sorted":[],"title_canon_sha256":"7399d1f0f557a3cfe8fc9d453a5bcc7a68fd5f5ba64e9891edd2f10e61f5dda2","abstract_canon_sha256":"d92e9d459b3b65e05428f6009ef5ea2d0251b498482456ab29336fa9947d8ba0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:27.042111Z","signature_b64":"SR+MVX9zdkxzdvv2T95gppdMUYe09to63/asTtbcymYkj63EG0ufMQgvYowWMHvBr6dw6wk/UZLW0WJm189nCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f23dc48e316256a5694a1a614e74925141a8869a83ec26915e5d97a8434acef1","last_reissued_at":"2026-05-17T23:59:27.041481Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:27.041481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tensor network study of two dimensional lattice $\\phi^{4}$ theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Daisuke Kadoh, Ryo Sakai, Shinji Takeda, Yoshifumi Nakamura, Yoshinobu Kuramashi, Yusuke Yoshimura","submitted_at":"2018-12-01T07:35:33Z","abstract_excerpt":"The tensor renormalization group attracts great attention as a new numerical method that is free of the sign problem. In addition to this striking feature, it also has an attractive aspect as a coarse-graining of space-time; the computational cost scales logarithmically with the space-time volume. This fact allows us to aggressively approach the thermodynamic limit. While taking this advantage, we study the critical coupling of the two dimensional $\\phi^{4}$ theory on large and fine lattices. We present the numerical results along with the extrapolation procedure to the continuum limit and com"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.00166","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1812.00166","created_at":"2026-05-17T23:59:27.041575+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.00166v1","created_at":"2026-05-17T23:59:27.041575+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.00166","created_at":"2026-05-17T23:59:27.041575+00:00"},{"alias_kind":"pith_short_12","alias_value":"6I64JDRRMJLK","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_16","alias_value":"6I64JDRRMJLKK2KK","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_8","alias_value":"6I64JDRR","created_at":"2026-05-18T12:32:08.215937+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6I64JDRRMJLKK2KKDJQU45ESKF","json":"https://pith.science/pith/6I64JDRRMJLKK2KKDJQU45ESKF.json","graph_json":"https://pith.science/api/pith-number/6I64JDRRMJLKK2KKDJQU45ESKF/graph.json","events_json":"https://pith.science/api/pith-number/6I64JDRRMJLKK2KKDJQU45ESKF/events.json","paper":"https://pith.science/paper/6I64JDRR"},"agent_actions":{"view_html":"https://pith.science/pith/6I64JDRRMJLKK2KKDJQU45ESKF","download_json":"https://pith.science/pith/6I64JDRRMJLKK2KKDJQU45ESKF.json","view_paper":"https://pith.science/paper/6I64JDRR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.00166&json=true","fetch_graph":"https://pith.science/api/pith-number/6I64JDRRMJLKK2KKDJQU45ESKF/graph.json","fetch_events":"https://pith.science/api/pith-number/6I64JDRRMJLKK2KKDJQU45ESKF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6I64JDRRMJLKK2KKDJQU45ESKF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6I64JDRRMJLKK2KKDJQU45ESKF/action/storage_attestation","attest_author":"https://pith.science/pith/6I64JDRRMJLKK2KKDJQU45ESKF/action/author_attestation","sign_citation":"https://pith.science/pith/6I64JDRRMJLKK2KKDJQU45ESKF/action/citation_signature","submit_replication":"https://pith.science/pith/6I64JDRRMJLKK2KKDJQU45ESKF/action/replication_record"}},"created_at":"2026-05-17T23:59:27.041575+00:00","updated_at":"2026-05-17T23:59:27.041575+00:00"}