{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:MRXELNNORPXUPFES7J7K7GTKT4","short_pith_number":"pith:MRXELNNO","schema_version":"1.0","canonical_sha256":"646e45b5ae8bef479492fa7eaf9a6a9f0c9557d7c832c077febcc5654487c52c","source":{"kind":"arxiv","id":"1907.02445","version":2},"attestation_state":"computed","paper":{"title":"An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order $1/N^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-th","authors_text":"Johan Henriksson, Luis F. Alday, Mark van Loon","submitted_at":"2019-07-04T15:09:06Z","abstract_excerpt":"We apply the methods of modern analytic bootstrap to the critical $O(N)$ model in a $1/N$ expansion. At infinite $N$ the model possesses higher spin symmetry which is weakly broken as we turn on $1/N$. By studying consistency conditions for the correlator of four fundamental fields we derive the CFT-data for all the (broken) currents to order $1/N$, and the CFT-data for the non-singlet currents to order $1/N^2$. To order $1/N$ our results are in perfect agreement with those in the literature. To order $1/N^2$ we reproduce known results for anomalous dimensions and obtain a variety of new resul"},"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":"1907.02445","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-07-04T15:09:06Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"521c17180cfbbd4f93b707176cdcf545ba005929ca50f9fb6124012e7df23dbd","abstract_canon_sha256":"4437bff49dcb2bed584090177361983107112026b30de4e3bcfb05e2065ef4a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:36:27.269059Z","signature_b64":"xea34O4YYZSjCaUb0BEHLdp2Iuf/3Zd3TVEt/osWeSVL4MY3ZNe4Rm6x5WVmhy6+iTcn3exonER5HXrI/J/BBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"646e45b5ae8bef479492fa7eaf9a6a9f0c9557d7c832c077febcc5654487c52c","last_reissued_at":"2026-07-05T00:36:27.268636Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:36:27.268636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order $1/N^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-th","authors_text":"Johan Henriksson, Luis F. Alday, Mark van Loon","submitted_at":"2019-07-04T15:09:06Z","abstract_excerpt":"We apply the methods of modern analytic bootstrap to the critical $O(N)$ model in a $1/N$ expansion. At infinite $N$ the model possesses higher spin symmetry which is weakly broken as we turn on $1/N$. By studying consistency conditions for the correlator of four fundamental fields we derive the CFT-data for all the (broken) currents to order $1/N$, and the CFT-data for the non-singlet currents to order $1/N^2$. To order $1/N$ our results are in perfect agreement with those in the literature. To order $1/N^2$ we reproduce known results for anomalous dimensions and obtain a variety of new resul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.02445","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1907.02445/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1907.02445","created_at":"2026-07-05T00:36:27.268702+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.02445v2","created_at":"2026-07-05T00:36:27.268702+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.02445","created_at":"2026-07-05T00:36:27.268702+00:00"},{"alias_kind":"pith_short_12","alias_value":"MRXELNNORPXU","created_at":"2026-07-05T00:36:27.268702+00:00"},{"alias_kind":"pith_short_16","alias_value":"MRXELNNORPXUPFES","created_at":"2026-07-05T00:36:27.268702+00:00"},{"alias_kind":"pith_short_8","alias_value":"MRXELNNO","created_at":"2026-07-05T00:36:27.268702+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.13183","citing_title":"Neural Networks, Dispersion Relations and the Thermal Bootstrap","ref_index":44,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MRXELNNORPXUPFES7J7K7GTKT4","json":"https://pith.science/pith/MRXELNNORPXUPFES7J7K7GTKT4.json","graph_json":"https://pith.science/api/pith-number/MRXELNNORPXUPFES7J7K7GTKT4/graph.json","events_json":"https://pith.science/api/pith-number/MRXELNNORPXUPFES7J7K7GTKT4/events.json","paper":"https://pith.science/paper/MRXELNNO"},"agent_actions":{"view_html":"https://pith.science/pith/MRXELNNORPXUPFES7J7K7GTKT4","download_json":"https://pith.science/pith/MRXELNNORPXUPFES7J7K7GTKT4.json","view_paper":"https://pith.science/paper/MRXELNNO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.02445&json=true","fetch_graph":"https://pith.science/api/pith-number/MRXELNNORPXUPFES7J7K7GTKT4/graph.json","fetch_events":"https://pith.science/api/pith-number/MRXELNNORPXUPFES7J7K7GTKT4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MRXELNNORPXUPFES7J7K7GTKT4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MRXELNNORPXUPFES7J7K7GTKT4/action/storage_attestation","attest_author":"https://pith.science/pith/MRXELNNORPXUPFES7J7K7GTKT4/action/author_attestation","sign_citation":"https://pith.science/pith/MRXELNNORPXUPFES7J7K7GTKT4/action/citation_signature","submit_replication":"https://pith.science/pith/MRXELNNORPXUPFES7J7K7GTKT4/action/replication_record"}},"created_at":"2026-07-05T00:36:27.268702+00:00","updated_at":"2026-07-05T00:36:27.268702+00:00"}