{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:W4QXIAF43H2EIUELRKCY6BC5BZ","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":"734aad2ded52e0565e44668263657cd64171be6052dc6e490548a1af7fe9489a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-23T20:42:25Z","title_canon_sha256":"d6ab160d1d18ed332176e429d2b098d7e6ad75878261e37191177cc153c5c08e"},"schema_version":"1.0","source":{"id":"1405.6226","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6226","created_at":"2026-05-18T01:43:06Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6226v2","created_at":"2026-05-18T01:43:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6226","created_at":"2026-05-18T01:43:06Z"},{"alias_kind":"pith_short_12","alias_value":"W4QXIAF43H2E","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"W4QXIAF43H2EIUEL","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"W4QXIAF4","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:17e24642243e0412aeb3a14607af01efb023fa835a86a14cabede7d770d94489","target":"graph","created_at":"2026-05-18T01:43:06Z","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"},"paper":{"abstract_excerpt":"The coefficient of the $D^6 {\\cal R}^4$ interaction in the low energy expansion of the two-loop four-graviton amplitude in type II superstring theory is known to be proportional to the integral of the Zhang-Kawazumi (ZK) invariant over the moduli space of genus-two Riemann surfaces. We demonstrate that the ZK invariant is an eigenfunction with eigenvalue 5 of the Laplace-Beltrami operator in the interior of moduli space. Exploiting this result, we evaluate the integral of the ZK invariant explicitly, finding agreement with the value of the two-loop $D^6 {\\cal R}^4$ interaction predicted on the","authors_text":"Boris Pioline, Eric D'Hoker, Michael B. Green, Rodolfo Russo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-23T20:42:25Z","title":"Matching the $D^6 {\\cal R}^4$ interaction at two-loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6226","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:c6dc4c102f656065a2be7b9a5cce1809cd078d1c9ed8a847286abea551445458","target":"record","created_at":"2026-05-18T01:43:06Z","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":"734aad2ded52e0565e44668263657cd64171be6052dc6e490548a1af7fe9489a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-23T20:42:25Z","title_canon_sha256":"d6ab160d1d18ed332176e429d2b098d7e6ad75878261e37191177cc153c5c08e"},"schema_version":"1.0","source":{"id":"1405.6226","kind":"arxiv","version":2}},"canonical_sha256":"b7217400bcd9f444508b8a858f045d0e7ba49d5e59a8298e31ee8aa188cbf9a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7217400bcd9f444508b8a858f045d0e7ba49d5e59a8298e31ee8aa188cbf9a0","first_computed_at":"2026-05-18T01:43:06.854019Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:06.854019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m33Nd5Aqi5u6XvUpyLJDpf0el/h0gt0dBU3I7jQbKPR83Jp1ZLd7XkVjXyLk4NSzswVjxIF+nxGSZ5ASPggQCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:06.854741Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.6226","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6dc4c102f656065a2be7b9a5cce1809cd078d1c9ed8a847286abea551445458","sha256:17e24642243e0412aeb3a14607af01efb023fa835a86a14cabede7d770d94489"],"state_sha256":"5f75aa4ed2063af18200a0983af68ce5da75e10eb0594649cb1cd9d78f15d729"}