{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:LODEUOSWLHM7DAUOGDTXESXTWA","short_pith_number":"pith:LODEUOSW","canonical_record":{"source":{"id":"hep-th/0501197","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-01-24T21:35:48Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"21f85f777441be66f3fe420d36dbda52500001e69d8c4a0d61805fc60bf71dd3","abstract_canon_sha256":"1c9a43249262b73c847206c2a5c56a8a9c9145ad3b76e696f773a21f13c58f9c"},"schema_version":"1.0"},"canonical_sha256":"5b864a3a5659d9f1828e30e7724af3b0061ea500de98abc5037d80e811bec703","source":{"kind":"arxiv","id":"hep-th/0501197","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0501197","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0501197v1","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0501197","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"pith_short_12","alias_value":"LODEUOSWLHM7","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"pith_short_16","alias_value":"LODEUOSWLHM7DAUO","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"pith_short_8","alias_value":"LODEUOSW","created_at":"2026-07-04T15:20:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:LODEUOSWLHM7DAUOGDTXESXTWA","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0501197","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-01-24T21:35:48Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"21f85f777441be66f3fe420d36dbda52500001e69d8c4a0d61805fc60bf71dd3","abstract_canon_sha256":"1c9a43249262b73c847206c2a5c56a8a9c9145ad3b76e696f773a21f13c58f9c"},"schema_version":"1.0"},"canonical_sha256":"5b864a3a5659d9f1828e30e7724af3b0061ea500de98abc5037d80e811bec703","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:20:32.009171Z","signature_b64":"udT7aPCgI69cCPMacEMqcmIyOtc9LIzwfV59mdJ4TsEaftLXphCvZU39pOUk9iULMX7jJmfPhURe31gNSb+0CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b864a3a5659d9f1828e30e7724af3b0061ea500de98abc5037d80e811bec703","last_reissued_at":"2026-07-04T15:20:32.008733Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:20:32.008733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0501197","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:20:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mbk587YhOmXMeHmhM6ZMfG3aKNpX+dYXTdBwnv8FH3hm21A9hJIiRVJ8x/7GVYAErmAa1Dzl/Zkwwe/dIcnoAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T00:00:56.641183Z"},"content_sha256":"7579223d21e2da87a1b6729b699e7a34817143bb38fd3b98c0491d16fc601bba","schema_version":"1.0","event_id":"sha256:7579223d21e2da87a1b6729b699e7a34817143bb38fd3b98c0491d16fc601bba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:LODEUOSWLHM7DAUOGDTXESXTWA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-Loop Superstrings VI: Non-Renormalization Theorems and the 4-Point Function","license":"","headline":"","cross_cats":["math.CV"],"primary_cat":"hep-th","authors_text":"D.H. Phong, Eric D'Hoker","submitted_at":"2005-01-24T21:35:48Z","abstract_excerpt":"The N-point amplitudes for the Type II and Heterotic superstrings at two-loop order and for $N \\leq 4$ massless NS bosons are evaluated explicitly from first principles, using the method of projection onto super period matrices introduced and developed in the first five papers of this series. The gauge-dependent corrections to the vertex operators, identified in paper V, are carefully taken into account, and the crucial counterterms which are Dolbeault exact in one insertion point and de Rham closed in the remaining points are constructed explicitly. This procedure maintains gauge slice indepe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0501197","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/hep-th/0501197/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:20:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YGTQEGnU6PWew3uQekYjRP0e+aBOnfJ85Pn80nNGmenmYIhmG6EQN/lvJNgyRxbET75WSn7hLwv2t/f8zi09Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T00:00:56.642043Z"},"content_sha256":"c0d4fcd93c6f874fd37a0f42bc8afd0d27ae925f11c615d4ec26e48b720ac4a0","schema_version":"1.0","event_id":"sha256:c0d4fcd93c6f874fd37a0f42bc8afd0d27ae925f11c615d4ec26e48b720ac4a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LODEUOSWLHM7DAUOGDTXESXTWA/bundle.json","state_url":"https://pith.science/pith/LODEUOSWLHM7DAUOGDTXESXTWA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LODEUOSWLHM7DAUOGDTXESXTWA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-18T00:00:56Z","links":{"resolver":"https://pith.science/pith/LODEUOSWLHM7DAUOGDTXESXTWA","bundle":"https://pith.science/pith/LODEUOSWLHM7DAUOGDTXESXTWA/bundle.json","state":"https://pith.science/pith/LODEUOSWLHM7DAUOGDTXESXTWA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LODEUOSWLHM7DAUOGDTXESXTWA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:LODEUOSWLHM7DAUOGDTXESXTWA","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":"1c9a43249262b73c847206c2a5c56a8a9c9145ad3b76e696f773a21f13c58f9c","cross_cats_sorted":["math.CV"],"license":"","primary_cat":"hep-th","submitted_at":"2005-01-24T21:35:48Z","title_canon_sha256":"21f85f777441be66f3fe420d36dbda52500001e69d8c4a0d61805fc60bf71dd3"},"schema_version":"1.0","source":{"id":"hep-th/0501197","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0501197","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0501197v1","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0501197","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"pith_short_12","alias_value":"LODEUOSWLHM7","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"pith_short_16","alias_value":"LODEUOSWLHM7DAUO","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"pith_short_8","alias_value":"LODEUOSW","created_at":"2026-07-04T15:20:32Z"}],"graph_snapshots":[{"event_id":"sha256:c0d4fcd93c6f874fd37a0f42bc8afd0d27ae925f11c615d4ec26e48b720ac4a0","target":"graph","created_at":"2026-07-04T15:20:32Z","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/0501197/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The N-point amplitudes for the Type II and Heterotic superstrings at two-loop order and for $N \\leq 4$ massless NS bosons are evaluated explicitly from first principles, using the method of projection onto super period matrices introduced and developed in the first five papers of this series. The gauge-dependent corrections to the vertex operators, identified in paper V, are carefully taken into account, and the crucial counterterms which are Dolbeault exact in one insertion point and de Rham closed in the remaining points are constructed explicitly. This procedure maintains gauge slice indepe","authors_text":"D.H. Phong, Eric D'Hoker","cross_cats":["math.CV"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-01-24T21:35:48Z","title":"Two-Loop Superstrings VI: Non-Renormalization Theorems and the 4-Point Function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0501197","kind":"arxiv","version":1},"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":"sha256:7579223d21e2da87a1b6729b699e7a34817143bb38fd3b98c0491d16fc601bba","target":"record","created_at":"2026-07-04T15:20:32Z","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":"1c9a43249262b73c847206c2a5c56a8a9c9145ad3b76e696f773a21f13c58f9c","cross_cats_sorted":["math.CV"],"license":"","primary_cat":"hep-th","submitted_at":"2005-01-24T21:35:48Z","title_canon_sha256":"21f85f777441be66f3fe420d36dbda52500001e69d8c4a0d61805fc60bf71dd3"},"schema_version":"1.0","source":{"id":"hep-th/0501197","kind":"arxiv","version":1}},"canonical_sha256":"5b864a3a5659d9f1828e30e7724af3b0061ea500de98abc5037d80e811bec703","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b864a3a5659d9f1828e30e7724af3b0061ea500de98abc5037d80e811bec703","first_computed_at":"2026-07-04T15:20:32.008733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:20:32.008733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"udT7aPCgI69cCPMacEMqcmIyOtc9LIzwfV59mdJ4TsEaftLXphCvZU39pOUk9iULMX7jJmfPhURe31gNSb+0CA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:20:32.009171Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0501197","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7579223d21e2da87a1b6729b699e7a34817143bb38fd3b98c0491d16fc601bba","sha256:c0d4fcd93c6f874fd37a0f42bc8afd0d27ae925f11c615d4ec26e48b720ac4a0"],"state_sha256":"d117c51ff576ae40ba2abc30f32c8141c65f00020106556bc99b89758f8f8758"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cpAg2pjlu/BO7K1VpM2OzSfQcVEsDhu8VZUVlKjIoQMRyWtMTLmfh4alu1o4WGJEr4+AUfdnq+HI6QsNgJ7wCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T00:00:56.658692Z","bundle_sha256":"877511d62f8d090c8bd7b45d42124ea47fdeab782eb263a1df7c8869b544ee5d"}}