{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:FFXWTFSNOPAO5QK2FWSRQICRZR","short_pith_number":"pith:FFXWTFSN","schema_version":"1.0","canonical_sha256":"296f69964d73c0eec15a2da5182051cc42b4b3d1de8de83a28dfe9d8ba58e205","source":{"kind":"arxiv","id":"1412.8218","version":3},"attestation_state":"computed","paper":{"title":"Large-$N$ limit of the gradient flow in the 2D $O(N)$ nonlinear sigma model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Fumihiko Sugino, Hiroki Makino, Hiroshi Suzuki","submitted_at":"2014-12-28T21:54:31Z","abstract_excerpt":"The gradient flow equation in the 2D $O(N)$ nonlinear sigma model with lattice regularization is solved in the leading order of the $1/N$ expansion. By using this solution, we analytically compute the thermal expectation value of a lattice energy--momentum tensor defined through the gradient flow. The expectation value reproduces thermodynamic quantities obtained by the standard large-$N$ method. This analysis confirms that the above lattice energy--momentum tensor restores the correct normalization automatically in the continuum limit, in a system with a non-perturbative mass gap."},"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":"1412.8218","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2014-12-28T21:54:31Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"54071c5c3bb990e63f8504dec6552f71d8fe0160412fb63686c2e73b1202724e","abstract_canon_sha256":"a3f02a23d9f1f1f5e70c26e28db7fcd4bca7bfa49ec3b4ce17bec24a13729cca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:51.459534Z","signature_b64":"dopYh3cijBRoyFVmFDcBCmetGl8cunFIuQaGxsX5CtyiX+/QSLv39LTtwLfyMGqt512mefVtpZSYFrLfauSyCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"296f69964d73c0eec15a2da5182051cc42b4b3d1de8de83a28dfe9d8ba58e205","last_reissued_at":"2026-05-18T02:18:51.459003Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:51.459003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large-$N$ limit of the gradient flow in the 2D $O(N)$ nonlinear sigma model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Fumihiko Sugino, Hiroki Makino, Hiroshi Suzuki","submitted_at":"2014-12-28T21:54:31Z","abstract_excerpt":"The gradient flow equation in the 2D $O(N)$ nonlinear sigma model with lattice regularization is solved in the leading order of the $1/N$ expansion. By using this solution, we analytically compute the thermal expectation value of a lattice energy--momentum tensor defined through the gradient flow. The expectation value reproduces thermodynamic quantities obtained by the standard large-$N$ method. This analysis confirms that the above lattice energy--momentum tensor restores the correct normalization automatically in the continuum limit, in a system with a non-perturbative mass gap."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.8218","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1412.8218","created_at":"2026-05-18T02:18:51.459089+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.8218v3","created_at":"2026-05-18T02:18:51.459089+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.8218","created_at":"2026-05-18T02:18:51.459089+00:00"},{"alias_kind":"pith_short_12","alias_value":"FFXWTFSNOPAO","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"FFXWTFSNOPAO5QK2","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"FFXWTFSN","created_at":"2026-05-18T12:28:28.263976+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/FFXWTFSNOPAO5QK2FWSRQICRZR","json":"https://pith.science/pith/FFXWTFSNOPAO5QK2FWSRQICRZR.json","graph_json":"https://pith.science/api/pith-number/FFXWTFSNOPAO5QK2FWSRQICRZR/graph.json","events_json":"https://pith.science/api/pith-number/FFXWTFSNOPAO5QK2FWSRQICRZR/events.json","paper":"https://pith.science/paper/FFXWTFSN"},"agent_actions":{"view_html":"https://pith.science/pith/FFXWTFSNOPAO5QK2FWSRQICRZR","download_json":"https://pith.science/pith/FFXWTFSNOPAO5QK2FWSRQICRZR.json","view_paper":"https://pith.science/paper/FFXWTFSN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.8218&json=true","fetch_graph":"https://pith.science/api/pith-number/FFXWTFSNOPAO5QK2FWSRQICRZR/graph.json","fetch_events":"https://pith.science/api/pith-number/FFXWTFSNOPAO5QK2FWSRQICRZR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FFXWTFSNOPAO5QK2FWSRQICRZR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FFXWTFSNOPAO5QK2FWSRQICRZR/action/storage_attestation","attest_author":"https://pith.science/pith/FFXWTFSNOPAO5QK2FWSRQICRZR/action/author_attestation","sign_citation":"https://pith.science/pith/FFXWTFSNOPAO5QK2FWSRQICRZR/action/citation_signature","submit_replication":"https://pith.science/pith/FFXWTFSNOPAO5QK2FWSRQICRZR/action/replication_record"}},"created_at":"2026-05-18T02:18:51.459089+00:00","updated_at":"2026-05-18T02:18:51.459089+00:00"}