{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:S4B74YAR3VFYJ6UI7XPKKPEXEA","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":"387f93e8b600e7a7b461f58f5fa4778b95d65908393b1749713504c18b079932","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-14T11:27:42Z","title_canon_sha256":"5258087b0f16fe07737bae9d43c7f4849e8385aa5d50e6a50f5881b993c9836d"},"schema_version":"1.0","source":{"id":"1401.3144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3144","created_at":"2026-05-18T01:45:25Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3144v1","created_at":"2026-05-18T01:45:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3144","created_at":"2026-05-18T01:45:25Z"},{"alias_kind":"pith_short_12","alias_value":"S4B74YAR3VFY","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"S4B74YAR3VFYJ6UI","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"S4B74YAR","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:318e844c1bb46081de28127791491bc3445c9bc6f78e4b2db88aa9f410b898af","target":"graph","created_at":"2026-05-18T01:45:25Z","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 derive a novel formula for the derivative of operator product expansion (OPE) coefficients with respect to a coupling constant. The formula only involves the OPE coefficients themselves, and no further input, and is in this sense self-consistent. Furthermore, unlike other formal identities of this general nature in quantum field theory (such as the formal expression for the Lagrangian perturbation of a correlation function), our formula is completely well-defined from the start, i.e. requires no further UV-renormalization. This feature is a result of a cancelation of UV-divergences between ","authors_text":"J. Holland, S. Hollands","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-14T11:27:42Z","title":"Recursive construction of operator product expansion coefficients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3144","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":"sha256:30087e95dc7ca44fd68b5b587e444a58cd749b2988f0710093bd03755fa8d923","target":"record","created_at":"2026-05-18T01:45:25Z","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":"387f93e8b600e7a7b461f58f5fa4778b95d65908393b1749713504c18b079932","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-14T11:27:42Z","title_canon_sha256":"5258087b0f16fe07737bae9d43c7f4849e8385aa5d50e6a50f5881b993c9836d"},"schema_version":"1.0","source":{"id":"1401.3144","kind":"arxiv","version":1}},"canonical_sha256":"9703fe6011dd4b84fa88fddea53c97202051ece614f235adca450327aa2575d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9703fe6011dd4b84fa88fddea53c97202051ece614f235adca450327aa2575d7","first_computed_at":"2026-05-18T01:45:25.769961Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:25.769961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oVOhdT1LV5RHW84sBNTbrJEq2rVbJ3nNiVXSU6b2O5r9Gewrst7Q5oSMEGUowMYIu1j9vx4OZ1hk3hBE40R1Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:25.770559Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.3144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30087e95dc7ca44fd68b5b587e444a58cd749b2988f0710093bd03755fa8d923","sha256:318e844c1bb46081de28127791491bc3445c9bc6f78e4b2db88aa9f410b898af"],"state_sha256":"28162625d03721b4f595de27d8729bc3c14bf95cb7a0b6445019a1635d4a7be9"}