{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:IEKQNJSL6QMX2MYJNEBTCU72T7","short_pith_number":"pith:IEKQNJSL","schema_version":"1.0","canonical_sha256":"411506a64bf4197d330969033153fa9fc68c24816766d51dcfe86c889b5d0c8e","source":{"kind":"arxiv","id":"2011.02957","version":2},"attestation_state":"computed","paper":{"title":"Extremal Effective Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Simon Caron-Huot, Vincent Van Duong","submitted_at":"2020-11-05T16:41:06Z","abstract_excerpt":"Effective field theories (EFT) parameterize the long-distance effects of short-distance dynamics whose details may or may not be known. It is known that EFT coefficients must obey certain positivity constraints if causality and unitarity are satisfied at all scales. We explore those constraints from the perspective of 2 to 2 scattering amplitudes of a light real scalar field, using semi-definite programming to carve out the space of allowed EFT coefficients for a given mass threshold M. We point out that all EFT parameters are bounded both below and above, effectively showing that dimensional "},"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":"2011.02957","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-11-05T16:41:06Z","cross_cats_sorted":[],"title_canon_sha256":"a3e097a2c366997655a41253eef5a25e48bb244f4bbc1f0c36008187afa9e120","abstract_canon_sha256":"fde4e08517fc328918001f8472a80adac1f858a24e711312eec9acb079a038c0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:49:20.435777Z","signature_b64":"TfWIA/nk3dMC9cbkivEujqNB/Ybm9bm7gCB1kkueeUbGfKBoB/xFjMYAClBm7wbP3NScUQHT7Qo0d4+Pt7P+Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"411506a64bf4197d330969033153fa9fc68c24816766d51dcfe86c889b5d0c8e","last_reissued_at":"2026-07-05T02:49:20.435271Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:49:20.435271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extremal Effective Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Simon Caron-Huot, Vincent Van Duong","submitted_at":"2020-11-05T16:41:06Z","abstract_excerpt":"Effective field theories (EFT) parameterize the long-distance effects of short-distance dynamics whose details may or may not be known. It is known that EFT coefficients must obey certain positivity constraints if causality and unitarity are satisfied at all scales. We explore those constraints from the perspective of 2 to 2 scattering amplitudes of a light real scalar field, using semi-definite programming to carve out the space of allowed EFT coefficients for a given mass threshold M. We point out that all EFT parameters are bounded both below and above, effectively showing that dimensional "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.02957","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/2011.02957/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":"2011.02957","created_at":"2026-07-05T02:49:20.435333+00:00"},{"alias_kind":"arxiv_version","alias_value":"2011.02957v2","created_at":"2026-07-05T02:49:20.435333+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.02957","created_at":"2026-07-05T02:49:20.435333+00:00"},{"alias_kind":"pith_short_12","alias_value":"IEKQNJSL6QMX","created_at":"2026-07-05T02:49:20.435333+00:00"},{"alias_kind":"pith_short_16","alias_value":"IEKQNJSL6QMX2MYJ","created_at":"2026-07-05T02:49:20.435333+00:00"},{"alias_kind":"pith_short_8","alias_value":"IEKQNJSL","created_at":"2026-07-05T02:49:20.435333+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":20,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.26450","citing_title":"An Ultraviolet Finite Theory of Scalars","ref_index":26,"is_internal_anchor":false},{"citing_arxiv_id":"2606.19420","citing_title":"Bootstrapping Pion Form Factors at Large $N$","ref_index":17,"is_internal_anchor":false},{"citing_arxiv_id":"2606.19283","citing_title":"A Dispersive Bootstrap for the Virasoro-Shapiro Amplitude","ref_index":3,"is_internal_anchor":false},{"citing_arxiv_id":"2606.09980","citing_title":"Where is tree-level heterotic string theory?","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2606.05136","citing_title":"Thermal Positivity","ref_index":5,"is_internal_anchor":false},{"citing_arxiv_id":"2605.11084","citing_title":"Analytic Bootstrap of the Veneziano Amplitude","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2605.11072","citing_title":"Positivity in Massive Spin-3/2 EFTs and the Planck-Suppressed Neighbourhood of Supergravity","ref_index":20,"is_internal_anchor":false},{"citing_arxiv_id":"2412.19745","citing_title":"IR side of bounds on Theories with Spontaneously Broken Lorentz Symmetry","ref_index":8,"is_internal_anchor":false},{"citing_arxiv_id":"2605.21582","citing_title":"Multipositivity Constrains the Chiral Lagrangian","ref_index":32,"is_internal_anchor":false},{"citing_arxiv_id":"2506.22546","citing_title":"Primal S-matrix bootstrap with dispersion relations","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2605.20319","citing_title":"The Equivalence Principle at High Energies Completes the Spectrum","ref_index":20,"is_internal_anchor":false},{"citing_arxiv_id":"2512.11955","citing_title":"Completeness from Gravitational Scattering","ref_index":38,"is_internal_anchor":false},{"citing_arxiv_id":"2512.13780","citing_title":"Positivity with Long-Range Interactions","ref_index":26,"is_internal_anchor":false},{"citing_arxiv_id":"2601.11705","citing_title":"String Theory from Maximal Supersymmetry","ref_index":6,"is_internal_anchor":false},{"citing_arxiv_id":"2603.15755","citing_title":"Negative running of gravitational positivity","ref_index":81,"is_internal_anchor":false},{"citing_arxiv_id":"2604.00107","citing_title":"Full positivity bounds for anomalous quartic gauge couplings in SMEFT","ref_index":43,"is_internal_anchor":false},{"citing_arxiv_id":"2605.11084","citing_title":"Analytic Bootstrap of the Veneziano Amplitude","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2605.11072","citing_title":"Positivity in Massive Spin-3/2 EFTs and the Planck-Suppressed Neighbourhood of Supergravity","ref_index":20,"is_internal_anchor":false},{"citing_arxiv_id":"2604.15235","citing_title":"Sampling the Graviton Pole and Deprojecting the Swampland","ref_index":3,"is_internal_anchor":false},{"citing_arxiv_id":"2605.04152","citing_title":"Consistent Scattering Amplitudes, Yang-Mills, the Higgs Mechanism and the EFTs Beyond","ref_index":33,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IEKQNJSL6QMX2MYJNEBTCU72T7","json":"https://pith.science/pith/IEKQNJSL6QMX2MYJNEBTCU72T7.json","graph_json":"https://pith.science/api/pith-number/IEKQNJSL6QMX2MYJNEBTCU72T7/graph.json","events_json":"https://pith.science/api/pith-number/IEKQNJSL6QMX2MYJNEBTCU72T7/events.json","paper":"https://pith.science/paper/IEKQNJSL"},"agent_actions":{"view_html":"https://pith.science/pith/IEKQNJSL6QMX2MYJNEBTCU72T7","download_json":"https://pith.science/pith/IEKQNJSL6QMX2MYJNEBTCU72T7.json","view_paper":"https://pith.science/paper/IEKQNJSL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2011.02957&json=true","fetch_graph":"https://pith.science/api/pith-number/IEKQNJSL6QMX2MYJNEBTCU72T7/graph.json","fetch_events":"https://pith.science/api/pith-number/IEKQNJSL6QMX2MYJNEBTCU72T7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IEKQNJSL6QMX2MYJNEBTCU72T7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IEKQNJSL6QMX2MYJNEBTCU72T7/action/storage_attestation","attest_author":"https://pith.science/pith/IEKQNJSL6QMX2MYJNEBTCU72T7/action/author_attestation","sign_citation":"https://pith.science/pith/IEKQNJSL6QMX2MYJNEBTCU72T7/action/citation_signature","submit_replication":"https://pith.science/pith/IEKQNJSL6QMX2MYJNEBTCU72T7/action/replication_record"}},"created_at":"2026-07-05T02:49:20.435333+00:00","updated_at":"2026-07-05T02:49:20.435333+00:00"}