{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:AGHR3STKHFMUX52XNZYF43HEO6","short_pith_number":"pith:AGHR3STK","schema_version":"1.0","canonical_sha256":"018f1dca6a39594bf7576e705e6ce4779d8cdc28e456e727dc63293d550d011b","source":{"kind":"arxiv","id":"2109.13261","version":1},"attestation_state":"computed","paper":{"title":"Towards Bootstrapping RG flows: Sine-Gordon in AdS","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Aaditya Salgarkar, Ant\\'onio Antunes, Balt C. van Rees, Jo\\~ao Penedones, Miguel S. Costa","submitted_at":"2021-09-27T18:00:04Z","abstract_excerpt":"The boundary correlation functions for a Quantum Field Theory (QFT) in an Anti-de Sitter (AdS) background can stay conformally covariant even if the bulk theory undergoes a renormalization group (RG) flow. Studying such correlation functions with the numerical conformal bootstrap leads to non-perturbative constraints that must hold along the entire flow. In this paper we carry out this analysis for the sine-Gordon RG flows in AdS$_2$, which start with a free (compact) scalar in the UV and end with well-known massive integrable theories that saturate many S-matrix bootstrap bounds. We numerical"},"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":"2109.13261","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-09-27T18:00:04Z","cross_cats_sorted":[],"title_canon_sha256":"1d318a170242f9899ada1d9954d1769aa3e8da80f7a95ae5e4bcdeb8d76cea9b","abstract_canon_sha256":"f038b0a5981d0471c99899e8777f7abd898b1216249b5729ee283f30f615106b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:45:47.036096Z","signature_b64":"bHfxRwyTPuLxmbLZ5SWuWXa42kfTABVmKXCSEyX0cieciilzchC1+xVISwd+noKbR7yZhkioBnyMafJzTJvrDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"018f1dca6a39594bf7576e705e6ce4779d8cdc28e456e727dc63293d550d011b","last_reissued_at":"2026-07-05T03:45:47.035651Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:45:47.035651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Towards Bootstrapping RG flows: Sine-Gordon in AdS","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Aaditya Salgarkar, Ant\\'onio Antunes, Balt C. van Rees, Jo\\~ao Penedones, Miguel S. Costa","submitted_at":"2021-09-27T18:00:04Z","abstract_excerpt":"The boundary correlation functions for a Quantum Field Theory (QFT) in an Anti-de Sitter (AdS) background can stay conformally covariant even if the bulk theory undergoes a renormalization group (RG) flow. Studying such correlation functions with the numerical conformal bootstrap leads to non-perturbative constraints that must hold along the entire flow. In this paper we carry out this analysis for the sine-Gordon RG flows in AdS$_2$, which start with a free (compact) scalar in the UV and end with well-known massive integrable theories that saturate many S-matrix bootstrap bounds. We numerical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.13261","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2109.13261/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":"2109.13261","created_at":"2026-07-05T03:45:47.035713+00:00"},{"alias_kind":"arxiv_version","alias_value":"2109.13261v1","created_at":"2026-07-05T03:45:47.035713+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.13261","created_at":"2026-07-05T03:45:47.035713+00:00"},{"alias_kind":"pith_short_12","alias_value":"AGHR3STKHFMU","created_at":"2026-07-05T03:45:47.035713+00:00"},{"alias_kind":"pith_short_16","alias_value":"AGHR3STKHFMUX52X","created_at":"2026-07-05T03:45:47.035713+00:00"},{"alias_kind":"pith_short_8","alias_value":"AGHR3STK","created_at":"2026-07-05T03:45:47.035713+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.05395","citing_title":"Li\\'enard--Wiechert fields in AdS and flat-space antipodal matching from geodesic-centered Coulombic data","ref_index":34,"is_internal_anchor":true},{"citing_arxiv_id":"2607.00079","citing_title":"QFT as a set of ODEs: higher dimensions","ref_index":18,"is_internal_anchor":false},{"citing_arxiv_id":"2601.04310","citing_title":"QFT as a set of ODEs","ref_index":57,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AGHR3STKHFMUX52XNZYF43HEO6","json":"https://pith.science/pith/AGHR3STKHFMUX52XNZYF43HEO6.json","graph_json":"https://pith.science/api/pith-number/AGHR3STKHFMUX52XNZYF43HEO6/graph.json","events_json":"https://pith.science/api/pith-number/AGHR3STKHFMUX52XNZYF43HEO6/events.json","paper":"https://pith.science/paper/AGHR3STK"},"agent_actions":{"view_html":"https://pith.science/pith/AGHR3STKHFMUX52XNZYF43HEO6","download_json":"https://pith.science/pith/AGHR3STKHFMUX52XNZYF43HEO6.json","view_paper":"https://pith.science/paper/AGHR3STK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2109.13261&json=true","fetch_graph":"https://pith.science/api/pith-number/AGHR3STKHFMUX52XNZYF43HEO6/graph.json","fetch_events":"https://pith.science/api/pith-number/AGHR3STKHFMUX52XNZYF43HEO6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AGHR3STKHFMUX52XNZYF43HEO6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AGHR3STKHFMUX52XNZYF43HEO6/action/storage_attestation","attest_author":"https://pith.science/pith/AGHR3STKHFMUX52XNZYF43HEO6/action/author_attestation","sign_citation":"https://pith.science/pith/AGHR3STKHFMUX52XNZYF43HEO6/action/citation_signature","submit_replication":"https://pith.science/pith/AGHR3STKHFMUX52XNZYF43HEO6/action/replication_record"}},"created_at":"2026-07-05T03:45:47.035713+00:00","updated_at":"2026-07-05T03:45:47.035713+00:00"}