{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:KPN2LBOGV5CNCZM4VLMPSQLL6H","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":"85a103f77a884983e97065ccbc696f061cbe98c58ca05c7983166480656796f1","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-04-10T17:59:08Z","title_canon_sha256":"97ccf280069aa0d1204b2b7acacde20fe8d05275fa9a7f1593d4042389930718"},"schema_version":"1.0","source":{"id":"2004.05156","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.05156","created_at":"2026-07-05T01:29:59Z"},{"alias_kind":"arxiv_version","alias_value":"2004.05156v2","created_at":"2026-07-05T01:29:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.05156","created_at":"2026-07-05T01:29:59Z"},{"alias_kind":"pith_short_12","alias_value":"KPN2LBOGV5CN","created_at":"2026-07-05T01:29:59Z"},{"alias_kind":"pith_short_16","alias_value":"KPN2LBOGV5CNCZM4","created_at":"2026-07-05T01:29:59Z"},{"alias_kind":"pith_short_8","alias_value":"KPN2LBOG","created_at":"2026-07-05T01:29:59Z"}],"graph_snapshots":[{"event_id":"sha256:ca95580cb0bed824f92b7f43c6dd46d6c3208413ab9be3d80435efe3e78c54ee","target":"graph","created_at":"2026-07-05T01:29:59Z","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/2004.05156/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study generating series of torus integrals that contain all so-called modular graph forms relevant for massless one-loop closed-string amplitudes. By analysing the differential equation of the generating series we construct a solution for its low-energy expansion to all orders in the inverse string tension $\\alpha'$. Our solution is expressed through initial data involving multiple zeta values and certain real-analytic functions of the modular parameter of the torus. These functions are built from real and imaginary parts of holomorphic iterated Eisenstein integrals and should be closely re","authors_text":"Axel Kleinschmidt, Jan E. Gerken, Oliver Schlotterer","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-04-10T17:59:08Z","title":"Generating series of all modular graph forms from iterated Eisenstein integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.05156","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":"sha256:8c66cb2e913f9e1c1e3d0ddfdc28e25fb994d9bfc5bb2fb4a128e089733e5fee","target":"record","created_at":"2026-07-05T01:29:59Z","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":"85a103f77a884983e97065ccbc696f061cbe98c58ca05c7983166480656796f1","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-04-10T17:59:08Z","title_canon_sha256":"97ccf280069aa0d1204b2b7acacde20fe8d05275fa9a7f1593d4042389930718"},"schema_version":"1.0","source":{"id":"2004.05156","kind":"arxiv","version":2}},"canonical_sha256":"53dba585c6af44d1659caad8f9416bf1fa887bead9fa641e01076bb0698c9e77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53dba585c6af44d1659caad8f9416bf1fa887bead9fa641e01076bb0698c9e77","first_computed_at":"2026-07-05T01:29:59.238460Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:29:59.238460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ywBaTmqQmyZvo2qA9GVdMbi7y4Sxi+qZGzwlPpGezkm0c6zwemBdR92O/LxQQjcLxKkYUbFwx8V9ikaUSV5ICA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:29:59.238954Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.05156","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c66cb2e913f9e1c1e3d0ddfdc28e25fb994d9bfc5bb2fb4a128e089733e5fee","sha256:ca95580cb0bed824f92b7f43c6dd46d6c3208413ab9be3d80435efe3e78c54ee"],"state_sha256":"f7ec8ad65405922f44b00bde62b21188dc7c247cf35ca21802bfa722e79964e4"}