{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:2SQEMFDTVZAVANM7OEPZPXQXLE","short_pith_number":"pith:2SQEMFDT","schema_version":"1.0","canonical_sha256":"d4a0461473ae4150359f711f97de17591f8ad5394531fc2e5b0997c98e504b32","source":{"kind":"arxiv","id":"1410.3393","version":2},"attestation_state":"computed","paper":{"title":"Locally-smeared operator product expansions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Christopher Monahan, Kostas Orginos","submitted_at":"2014-10-13T17:03:53Z","abstract_excerpt":"We propose a \"locally-smeared Operator Product Expansion\" (sOPE) to decompose non-local operators in terms of a basis of locally-smeared operators. The sOPE formally connects nonperturbative matrix elements of smeared degrees of freedom, determined numerically using the gradient flow, to non-local operators in the continuum. The nonperturbative matrix elements do not suffer from power-divergent mixing on the lattice, provided the smearing scale is kept fixed in the continuum limit. The presence of this smearing scale prevents a simple connection to the standard operator product expansion and t"},"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":"1410.3393","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2014-10-13T17:03:53Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"1cf21f737609734cd27203019fef2a66c07a9ad7e334ea7c63418077b0951611","abstract_canon_sha256":"e821b50684c4ea30d28f6d79d2cf88f23d9077c48e60f3bfa3bf40da400887c1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:02.042776Z","signature_b64":"XS9p/1QOhhF75lEtK48wX6ljGbtx/fcIKn4vZMK86mpV93RJRl3GmiMLvBH0TfFpxHna455CHqP8lxusahQlCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4a0461473ae4150359f711f97de17591f8ad5394531fc2e5b0997c98e504b32","last_reissued_at":"2026-05-18T02:31:02.042393Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:02.042393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Locally-smeared operator product expansions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Christopher Monahan, Kostas Orginos","submitted_at":"2014-10-13T17:03:53Z","abstract_excerpt":"We propose a \"locally-smeared Operator Product Expansion\" (sOPE) to decompose non-local operators in terms of a basis of locally-smeared operators. The sOPE formally connects nonperturbative matrix elements of smeared degrees of freedom, determined numerically using the gradient flow, to non-local operators in the continuum. The nonperturbative matrix elements do not suffer from power-divergent mixing on the lattice, provided the smearing scale is kept fixed in the continuum limit. The presence of this smearing scale prevents a simple connection to the standard operator product expansion and t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.3393","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1410.3393","created_at":"2026-05-18T02:31:02.042447+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.3393v2","created_at":"2026-05-18T02:31:02.042447+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.3393","created_at":"2026-05-18T02:31:02.042447+00:00"},{"alias_kind":"pith_short_12","alias_value":"2SQEMFDTVZAV","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"2SQEMFDTVZAVANM7","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"2SQEMFDT","created_at":"2026-05-18T12:28:11.866339+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/2SQEMFDTVZAVANM7OEPZPXQXLE","json":"https://pith.science/pith/2SQEMFDTVZAVANM7OEPZPXQXLE.json","graph_json":"https://pith.science/api/pith-number/2SQEMFDTVZAVANM7OEPZPXQXLE/graph.json","events_json":"https://pith.science/api/pith-number/2SQEMFDTVZAVANM7OEPZPXQXLE/events.json","paper":"https://pith.science/paper/2SQEMFDT"},"agent_actions":{"view_html":"https://pith.science/pith/2SQEMFDTVZAVANM7OEPZPXQXLE","download_json":"https://pith.science/pith/2SQEMFDTVZAVANM7OEPZPXQXLE.json","view_paper":"https://pith.science/paper/2SQEMFDT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.3393&json=true","fetch_graph":"https://pith.science/api/pith-number/2SQEMFDTVZAVANM7OEPZPXQXLE/graph.json","fetch_events":"https://pith.science/api/pith-number/2SQEMFDTVZAVANM7OEPZPXQXLE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2SQEMFDTVZAVANM7OEPZPXQXLE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2SQEMFDTVZAVANM7OEPZPXQXLE/action/storage_attestation","attest_author":"https://pith.science/pith/2SQEMFDTVZAVANM7OEPZPXQXLE/action/author_attestation","sign_citation":"https://pith.science/pith/2SQEMFDTVZAVANM7OEPZPXQXLE/action/citation_signature","submit_replication":"https://pith.science/pith/2SQEMFDTVZAVANM7OEPZPXQXLE/action/replication_record"}},"created_at":"2026-05-18T02:31:02.042447+00:00","updated_at":"2026-05-18T02:31:02.042447+00:00"}