{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:SWUSW54FJ6ZYHZPMI36URQ7LL4","short_pith_number":"pith:SWUSW54F","schema_version":"1.0","canonical_sha256":"95a92b77854fb383e5ec46fd48c3eb5f04e86678ec3e21bccc4336cd14fc7855","source":{"kind":"arxiv","id":"2204.07542","version":2},"attestation_state":"computed","paper":{"title":"AdS Virasoro-Shapiro from dispersive sum rules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Joao A. Silva, Luis F. Alday, Tobias Hansen","submitted_at":"2022-04-15T16:57:30Z","abstract_excerpt":"We consider the four-point correlator of the stress-energy tensor in ${\\cal N}=4$ SYM, to leading order in inverse powers of the central charge, but including all order corrections in $1/\\lambda$. This corresponds to the AdS version of the Virasoro-Shapiro amplitude to all orders in the small $\\alpha'$/low energy expansion. Using dispersion relations in Mellin space, we derive an infinite set of sum rules. These sum rules strongly constrain the form of the amplitude, and determine all coefficients in the low energy expansion in terms of the CFT data for heavy string operators, in principle ava"},"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":"2204.07542","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-04-15T16:57:30Z","cross_cats_sorted":[],"title_canon_sha256":"eb0d01e81d0150b1d98889ea263c3a1f17067afe2922e4f3271bbc3658c66cba","abstract_canon_sha256":"e5f897bcb6c66a11a60da86142142cbaf2b5e16f76308629a1efd5486ac1bed8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:09:57.194871Z","signature_b64":"nzSPI88kK5dVWDEo+ZbtZ0Gky5iGksIi7IQKEZzHz71FkNj0aJlrlBCgXEJhxGrohxeMcBJQpEmEZ/Fe7HxsAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95a92b77854fb383e5ec46fd48c3eb5f04e86678ec3e21bccc4336cd14fc7855","last_reissued_at":"2026-07-05T05:09:57.194411Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:09:57.194411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"AdS Virasoro-Shapiro from dispersive sum rules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Joao A. Silva, Luis F. Alday, Tobias Hansen","submitted_at":"2022-04-15T16:57:30Z","abstract_excerpt":"We consider the four-point correlator of the stress-energy tensor in ${\\cal N}=4$ SYM, to leading order in inverse powers of the central charge, but including all order corrections in $1/\\lambda$. This corresponds to the AdS version of the Virasoro-Shapiro amplitude to all orders in the small $\\alpha'$/low energy expansion. Using dispersion relations in Mellin space, we derive an infinite set of sum rules. These sum rules strongly constrain the form of the amplitude, and determine all coefficients in the low energy expansion in terms of the CFT data for heavy string operators, in principle ava"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.07542","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/2204.07542/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":"2204.07542","created_at":"2026-07-05T05:09:57.194468+00:00"},{"alias_kind":"arxiv_version","alias_value":"2204.07542v2","created_at":"2026-07-05T05:09:57.194468+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.07542","created_at":"2026-07-05T05:09:57.194468+00:00"},{"alias_kind":"pith_short_12","alias_value":"SWUSW54FJ6ZY","created_at":"2026-07-05T05:09:57.194468+00:00"},{"alias_kind":"pith_short_16","alias_value":"SWUSW54FJ6ZYHZPM","created_at":"2026-07-05T05:09:57.194468+00:00"},{"alias_kind":"pith_short_8","alias_value":"SWUSW54F","created_at":"2026-07-05T05:09:57.194468+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2412.08689","citing_title":"The type IIA Virasoro-Shapiro amplitude in AdS$_4$ $\\times$ CP$^3$ from ABJM theory","ref_index":3,"is_internal_anchor":false},{"citing_arxiv_id":"2506.08682","citing_title":"Superconformal Weight Shifting Operators","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2507.12533","citing_title":"$20'$ Five-Point Function of $\\mathcal{N}=4$ SYM and Stringy Corrections","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2512.23699","citing_title":"Twisted de Rham theory for string double copy in AdS","ref_index":23,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SWUSW54FJ6ZYHZPMI36URQ7LL4","json":"https://pith.science/pith/SWUSW54FJ6ZYHZPMI36URQ7LL4.json","graph_json":"https://pith.science/api/pith-number/SWUSW54FJ6ZYHZPMI36URQ7LL4/graph.json","events_json":"https://pith.science/api/pith-number/SWUSW54FJ6ZYHZPMI36URQ7LL4/events.json","paper":"https://pith.science/paper/SWUSW54F"},"agent_actions":{"view_html":"https://pith.science/pith/SWUSW54FJ6ZYHZPMI36URQ7LL4","download_json":"https://pith.science/pith/SWUSW54FJ6ZYHZPMI36URQ7LL4.json","view_paper":"https://pith.science/paper/SWUSW54F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2204.07542&json=true","fetch_graph":"https://pith.science/api/pith-number/SWUSW54FJ6ZYHZPMI36URQ7LL4/graph.json","fetch_events":"https://pith.science/api/pith-number/SWUSW54FJ6ZYHZPMI36URQ7LL4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SWUSW54FJ6ZYHZPMI36URQ7LL4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SWUSW54FJ6ZYHZPMI36URQ7LL4/action/storage_attestation","attest_author":"https://pith.science/pith/SWUSW54FJ6ZYHZPMI36URQ7LL4/action/author_attestation","sign_citation":"https://pith.science/pith/SWUSW54FJ6ZYHZPMI36URQ7LL4/action/citation_signature","submit_replication":"https://pith.science/pith/SWUSW54FJ6ZYHZPMI36URQ7LL4/action/replication_record"}},"created_at":"2026-07-05T05:09:57.194468+00:00","updated_at":"2026-07-05T05:09:57.194468+00:00"}