{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:AFJOQH6JFPEO3AGVOAKC3ZXHVR","short_pith_number":"pith:AFJOQH6J","schema_version":"1.0","canonical_sha256":"0152e81fc92bc8ed80d570142de6e7ac5313af30e1462ed0eea43dca10fbab27","source":{"kind":"arxiv","id":"1603.04436","version":1},"attestation_state":"computed","paper":{"title":"Precision Islands in the Ising and $O(N)$ Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Alessandro Vichi, David Poland, David Simmons-Duffin, Filip Kos","submitted_at":"2016-03-14T20:00:00Z","abstract_excerpt":"We make precise determinations of the leading scaling dimensions and operator product expansion (OPE) coefficients in the 3d Ising, $O(2)$, and $O(3)$ models from the conformal bootstrap with mixed correlators. We improve on previous studies by scanning over possible relative values of the leading OPE coefficients, which incorporates the physical information that there is only a single operator at a given scaling dimension. The scaling dimensions and OPE coefficients obtained for the 3d Ising model, $(\\Delta_{\\sigma}, \\Delta_{\\epsilon},\\lambda_{\\sigma\\sigma\\epsilon}, \\lambda_{\\epsilon\\epsilon\\"},"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":"1603.04436","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-14T20:00:00Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"8afd3f617f995e2a872bbd9b812049bd79fdc220dbe3b87f83a28bb11fca13c2","abstract_canon_sha256":"38ef26b489e10e4cebee38bf6b5ae51742747846ed017487c1f9c4a78b90be9a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:11.580496Z","signature_b64":"gxvcAI02//Wztunb4AWoYUG19Gj0tYJA29Zjn7rh4eQ/4XwxRoI60TsMuEcl82dnYwq/aBipkNhKWB3+hRuHCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0152e81fc92bc8ed80d570142de6e7ac5313af30e1462ed0eea43dca10fbab27","last_reissued_at":"2026-05-18T01:08:11.580026Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:11.580026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Precision Islands in the Ising and $O(N)$ Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Alessandro Vichi, David Poland, David Simmons-Duffin, Filip Kos","submitted_at":"2016-03-14T20:00:00Z","abstract_excerpt":"We make precise determinations of the leading scaling dimensions and operator product expansion (OPE) coefficients in the 3d Ising, $O(2)$, and $O(3)$ models from the conformal bootstrap with mixed correlators. We improve on previous studies by scanning over possible relative values of the leading OPE coefficients, which incorporates the physical information that there is only a single operator at a given scaling dimension. The scaling dimensions and OPE coefficients obtained for the 3d Ising model, $(\\Delta_{\\sigma}, \\Delta_{\\epsilon},\\lambda_{\\sigma\\sigma\\epsilon}, \\lambda_{\\epsilon\\epsilon\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04436","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":"1603.04436","created_at":"2026-05-18T01:08:11.580088+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.04436v1","created_at":"2026-05-18T01:08:11.580088+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04436","created_at":"2026-05-18T01:08:11.580088+00:00"},{"alias_kind":"pith_short_12","alias_value":"AFJOQH6JFPEO","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"AFJOQH6JFPEO3AGV","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"AFJOQH6J","created_at":"2026-05-18T12:30:07.202191+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":13,"internal_anchor_count":6,"sample":[{"citing_arxiv_id":"2605.22919","citing_title":"Scale-Invariant Open Quantum Systems","ref_index":16,"is_internal_anchor":true},{"citing_arxiv_id":"2103.02626","citing_title":"Coherent and dissipative dynamics at quantum phase transitions","ref_index":134,"is_internal_anchor":true},{"citing_arxiv_id":"2506.06422","citing_title":"The analytic bootstrap at finite temperature","ref_index":84,"is_internal_anchor":true},{"citing_arxiv_id":"2511.00386","citing_title":"Conformal Bootstrap with Duality-Inspired Fusion Rule","ref_index":14,"is_internal_anchor":true},{"citing_arxiv_id":"2601.02681","citing_title":"Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions","ref_index":62,"is_internal_anchor":true},{"citing_arxiv_id":"2603.10627","citing_title":"Efficient Conformal Block Evaluation with GoBlocks","ref_index":4,"is_internal_anchor":true},{"citing_arxiv_id":"2605.11573","citing_title":"A Monte Carlo Study of the Dipolar Universality Class in Three Dimensions","ref_index":4,"is_internal_anchor":false},{"citing_arxiv_id":"2604.26207","citing_title":"Functional Dimensional Regularization for O(N) Models","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2604.23526","citing_title":"Smooth Threshold Effects from Dimensional Regularization","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2604.18686","citing_title":"Neural Spectral Bias and Conformal Correlators I: Introduction and Applications","ref_index":48,"is_internal_anchor":false},{"citing_arxiv_id":"2604.18673","citing_title":"Neural Networks Reveal a Universal Bias in Conformal Correlators","ref_index":32,"is_internal_anchor":false},{"citing_arxiv_id":"2604.07554","citing_title":"Fortuitous Universality of Bose-Kondo Impurities","ref_index":57,"is_internal_anchor":false},{"citing_arxiv_id":"2604.18705","citing_title":"Conformal Data for the $O(2)$ Wilson-Fisher CFT in $(2+1)$-Dimensional Spacetime from Exact Diagonalization and Matrix Product States on the Fuzzy Sphere","ref_index":48,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AFJOQH6JFPEO3AGVOAKC3ZXHVR","json":"https://pith.science/pith/AFJOQH6JFPEO3AGVOAKC3ZXHVR.json","graph_json":"https://pith.science/api/pith-number/AFJOQH6JFPEO3AGVOAKC3ZXHVR/graph.json","events_json":"https://pith.science/api/pith-number/AFJOQH6JFPEO3AGVOAKC3ZXHVR/events.json","paper":"https://pith.science/paper/AFJOQH6J"},"agent_actions":{"view_html":"https://pith.science/pith/AFJOQH6JFPEO3AGVOAKC3ZXHVR","download_json":"https://pith.science/pith/AFJOQH6JFPEO3AGVOAKC3ZXHVR.json","view_paper":"https://pith.science/paper/AFJOQH6J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.04436&json=true","fetch_graph":"https://pith.science/api/pith-number/AFJOQH6JFPEO3AGVOAKC3ZXHVR/graph.json","fetch_events":"https://pith.science/api/pith-number/AFJOQH6JFPEO3AGVOAKC3ZXHVR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AFJOQH6JFPEO3AGVOAKC3ZXHVR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AFJOQH6JFPEO3AGVOAKC3ZXHVR/action/storage_attestation","attest_author":"https://pith.science/pith/AFJOQH6JFPEO3AGVOAKC3ZXHVR/action/author_attestation","sign_citation":"https://pith.science/pith/AFJOQH6JFPEO3AGVOAKC3ZXHVR/action/citation_signature","submit_replication":"https://pith.science/pith/AFJOQH6JFPEO3AGVOAKC3ZXHVR/action/replication_record"}},"created_at":"2026-05-18T01:08:11.580088+00:00","updated_at":"2026-05-18T01:08:11.580088+00:00"}