{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:EWKVJBPVUGJQMVLSEPM7JY5WC3","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c611f09a86b2160be9ebd7243dc9c03b10a22e852a08d110ebc8097b007d172e","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2001-10-18T22:20:52Z","title_canon_sha256":"0e076f30e62c8af2658df35de339658541de30473a7b7262a500b54ef47f1761"},"schema_version":"1.0","source":{"id":"hep-th/0110173","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0110173","created_at":"2026-07-04T15:49:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0110173v2","created_at":"2026-07-04T15:49:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0110173","created_at":"2026-07-04T15:49:55Z"},{"alias_kind":"pith_short_12","alias_value":"EWKVJBPVUGJQ","created_at":"2026-07-04T15:49:55Z"},{"alias_kind":"pith_short_16","alias_value":"EWKVJBPVUGJQMVLS","created_at":"2026-07-04T15:49:55Z"},{"alias_kind":"pith_short_8","alias_value":"EWKVJBPV","created_at":"2026-07-04T15:49:55Z"}],"graph_snapshots":[{"event_id":"sha256:270b7c4aaf599f0b80d653414823bf8565548adacbc7f9bd5554d5b9fe80446a","target":"graph","created_at":"2026-07-04T15:49:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0110173/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the leading low-energy term in the planar part of the 2-loop contribution to the effective action of $\\N=4$ SYM theory in 4 dimensions, assuming that the gauge group $SU(N+1)$ is broken to $SU(N) x U(1)$ by a constant scalar background $X$. While the leading 1-loop correction is the familiar $c_1 F^4/|X|^4$ term, the 2-loop expression starts with $c_2 F^6/|X|^8$. The 1-loop constant $c_1$ is known to be equal to the coefficient of the $F^4$ term in the Born-Infeld action for a probe D3-brane separated by distance $|X|$ from a large number $N$ of coincident D3-branes. We show that th","authors_text":"A.A. Tseytlin, A.Yu. Petrov, I.L. Buchbinder","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2001-10-18T22:20:52Z","title":"Two-loop N=4 Super Yang Mills effective action and interaction between D3-branes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0110173","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ba3036fb24249dbe989f927cb8f1bfff7c8e7dfb86a43476000b6163c830bf49","target":"record","created_at":"2026-07-04T15:49:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c611f09a86b2160be9ebd7243dc9c03b10a22e852a08d110ebc8097b007d172e","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2001-10-18T22:20:52Z","title_canon_sha256":"0e076f30e62c8af2658df35de339658541de30473a7b7262a500b54ef47f1761"},"schema_version":"1.0","source":{"id":"hep-th/0110173","kind":"arxiv","version":2}},"canonical_sha256":"25955485f5a19306557223d9f4e3b616f81ce2a7d163c653dccd5cdcbd0ad4b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25955485f5a19306557223d9f4e3b616f81ce2a7d163c653dccd5cdcbd0ad4b2","first_computed_at":"2026-07-04T15:49:55.612733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:49:55.612733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WcXEThBd0XL1z2TW5ZD948GtWrgIQzp/swUhD2XakPuDIc+cSeKDQTGFupIfS6rUkqAWmlA+jns2m9o8nERwBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:49:55.613120Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0110173","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba3036fb24249dbe989f927cb8f1bfff7c8e7dfb86a43476000b6163c830bf49","sha256:270b7c4aaf599f0b80d653414823bf8565548adacbc7f9bd5554d5b9fe80446a"],"state_sha256":"9ca484c9035a2d06a519b49569096520c81ba0d84b98e020becb2102954e2b9a"}