{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:LJSDWLOOA4URPHINHSDP72YVZ3","short_pith_number":"pith:LJSDWLOO","schema_version":"1.0","canonical_sha256":"5a643b2dce0729179d0d3c86ffeb15cee5ded64c4509e1d47b73b0d03d63f512","source":{"kind":"arxiv","id":"2111.11792","version":2},"attestation_state":"computed","paper":{"title":"The F-theorem in the melonic limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dario Benedetti, Davide Lettera, Razvan Gurau, Sabine Harribey","submitted_at":"2021-11-23T11:11:29Z","abstract_excerpt":"The $F$-theorem states that in three dimensions the sphere free energy of a field theory must decrease between ultraviolet and infrared fixed points of the renormalization group flow, and it has been proven for unitary conformal field theories (CFTs). We consider here the long-range bosonic $O(N)^3$ model on a spherical background, at next-to-next-to-leading order of the $1/N$ expansion. The model displays four large-$N$ fixed points and we test and confirm the $F$-theorem holds in this case. This is non-trivial as one of the couplings is imaginary, and therefore the model is non-unitary at fi"},"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":"2111.11792","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-11-23T11:11:29Z","cross_cats_sorted":[],"title_canon_sha256":"9abcf66c9954a27b9540dd913041b24c80ad223e6c28add3f388f8baf19ffe97","abstract_canon_sha256":"fdbd485db5ed7c918242372bdfa1640f1fbc659c9f2fe7332992b8d551fffb23"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:31:57.950605Z","signature_b64":"Izh3BrG+7HvovYW6AWdVK/BGsBb7DudXTgImjYe16rkta/iPLhe2IRXYZVNty4E0AZNDe6ko1LLp1C4Qd9p/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a643b2dce0729179d0d3c86ffeb15cee5ded64c4509e1d47b73b0d03d63f512","last_reissued_at":"2026-07-05T04:31:57.950133Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:31:57.950133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The F-theorem in the melonic limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dario Benedetti, Davide Lettera, Razvan Gurau, Sabine Harribey","submitted_at":"2021-11-23T11:11:29Z","abstract_excerpt":"The $F$-theorem states that in three dimensions the sphere free energy of a field theory must decrease between ultraviolet and infrared fixed points of the renormalization group flow, and it has been proven for unitary conformal field theories (CFTs). We consider here the long-range bosonic $O(N)^3$ model on a spherical background, at next-to-next-to-leading order of the $1/N$ expansion. The model displays four large-$N$ fixed points and we test and confirm the $F$-theorem holds in this case. This is non-trivial as one of the couplings is imaginary, and therefore the model is non-unitary at fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.11792","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/2111.11792/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":"2111.11792","created_at":"2026-07-05T04:31:57.950192+00:00"},{"alias_kind":"arxiv_version","alias_value":"2111.11792v2","created_at":"2026-07-05T04:31:57.950192+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.11792","created_at":"2026-07-05T04:31:57.950192+00:00"},{"alias_kind":"pith_short_12","alias_value":"LJSDWLOOA4UR","created_at":"2026-07-05T04:31:57.950192+00:00"},{"alias_kind":"pith_short_16","alias_value":"LJSDWLOOA4URPHIN","created_at":"2026-07-05T04:31:57.950192+00:00"},{"alias_kind":"pith_short_8","alias_value":"LJSDWLOO","created_at":"2026-07-05T04:31:57.950192+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.11317","citing_title":"Lectures on Semiclassical Methods for Composite Operators","ref_index":62,"is_internal_anchor":false},{"citing_arxiv_id":"2604.15420","citing_title":"Local CFTs extremise $F$","ref_index":96,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LJSDWLOOA4URPHINHSDP72YVZ3","json":"https://pith.science/pith/LJSDWLOOA4URPHINHSDP72YVZ3.json","graph_json":"https://pith.science/api/pith-number/LJSDWLOOA4URPHINHSDP72YVZ3/graph.json","events_json":"https://pith.science/api/pith-number/LJSDWLOOA4URPHINHSDP72YVZ3/events.json","paper":"https://pith.science/paper/LJSDWLOO"},"agent_actions":{"view_html":"https://pith.science/pith/LJSDWLOOA4URPHINHSDP72YVZ3","download_json":"https://pith.science/pith/LJSDWLOOA4URPHINHSDP72YVZ3.json","view_paper":"https://pith.science/paper/LJSDWLOO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2111.11792&json=true","fetch_graph":"https://pith.science/api/pith-number/LJSDWLOOA4URPHINHSDP72YVZ3/graph.json","fetch_events":"https://pith.science/api/pith-number/LJSDWLOOA4URPHINHSDP72YVZ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LJSDWLOOA4URPHINHSDP72YVZ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LJSDWLOOA4URPHINHSDP72YVZ3/action/storage_attestation","attest_author":"https://pith.science/pith/LJSDWLOOA4URPHINHSDP72YVZ3/action/author_attestation","sign_citation":"https://pith.science/pith/LJSDWLOOA4URPHINHSDP72YVZ3/action/citation_signature","submit_replication":"https://pith.science/pith/LJSDWLOOA4URPHINHSDP72YVZ3/action/replication_record"}},"created_at":"2026-07-05T04:31:57.950192+00:00","updated_at":"2026-07-05T04:31:57.950192+00:00"}