{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:TRRGHV4FQVB4B2YH4UH6T2ZKD7","short_pith_number":"pith:TRRGHV4F","canonical_record":{"source":{"id":"hep-th/0409315","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-09-30T15:37:11Z","cross_cats_sorted":[],"title_canon_sha256":"63dc2884b68d0cda25fa37c8a585106200a1fc4a269017fd7bdcf5a30237162d","abstract_canon_sha256":"55f45d310faefd489721d7983adedbb5eed99824c1582294a33e056a98f302b6"},"schema_version":"1.0"},"canonical_sha256":"9c6263d7858543c0eb07e50fe9eb2a1fd65ec7c56efb513895c9f05a9ad43790","source":{"kind":"arxiv","id":"hep-th/0409315","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0409315","created_at":"2026-07-04T15:20:30Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0409315v1","created_at":"2026-07-04T15:20:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0409315","created_at":"2026-07-04T15:20:30Z"},{"alias_kind":"pith_short_12","alias_value":"TRRGHV4FQVB4","created_at":"2026-07-04T15:20:30Z"},{"alias_kind":"pith_short_16","alias_value":"TRRGHV4FQVB4B2YH","created_at":"2026-07-04T15:20:30Z"},{"alias_kind":"pith_short_8","alias_value":"TRRGHV4F","created_at":"2026-07-04T15:20:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:TRRGHV4FQVB4B2YH4UH6T2ZKD7","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0409315","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-09-30T15:37:11Z","cross_cats_sorted":[],"title_canon_sha256":"63dc2884b68d0cda25fa37c8a585106200a1fc4a269017fd7bdcf5a30237162d","abstract_canon_sha256":"55f45d310faefd489721d7983adedbb5eed99824c1582294a33e056a98f302b6"},"schema_version":"1.0"},"canonical_sha256":"9c6263d7858543c0eb07e50fe9eb2a1fd65ec7c56efb513895c9f05a9ad43790","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:20:30.761454Z","signature_b64":"Ek4aF7FCArRvRgHSLkG7ZwE0NSx+EkvVVpvQFzkuz2cgOkl/tzYPGJb/n8zuraAEpVEHmdMzzZ6YexGcy1/LBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c6263d7858543c0eb07e50fe9eb2a1fd65ec7c56efb513895c9f05a9ad43790","last_reissued_at":"2026-07-04T15:20:30.761032Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:20:30.761032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0409315","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":"2026-07-04T15:20:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d3q18dMXLLo5gRUo7BXvEGRKSGATeYNfgojrat19kUMWR+hgwQBNIfYVoykhH5P4DeNnwk9uh9lVSIrpWW0KBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T11:16:35.961934Z"},"content_sha256":"95a8d25b580bb809fd25968ebd5ae8bee3aa7a2b5716341289be5a52c5a9dde7","schema_version":"1.0","event_id":"sha256:95a8d25b580bb809fd25968ebd5ae8bee3aa7a2b5716341289be5a52c5a9dde7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:TRRGHV4FQVB4B2YH4UH6T2ZKD7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"DLCQ String Spectrum from ${\\cal N}=2$ SYM Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"G. De Risi, G. Grignani, G. W. Semenoff, M. Orselli","submitted_at":"2004-09-30T15:37:11Z","abstract_excerpt":"We study non planar corrections to the spectrum of operators in the ${\\mathcal N}=2$ supersymmetric Yang Mills theory which are dual to string states in the maximally supersymmetric pp-wave background with a {\\em compact} light-cone direction. The existence of a positive definite discrete light-cone momentum greatly simplifies the operator mixing problem. We give some examples where the contribution of all orders in non-planar diagrams can be found analytically. On the string theory side this corresponds to finding the spectrum of a string state to all orders in string loop corrections."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0409315","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/0409315/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":"2026-07-04T15:20:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N3mFNGh2g9RJcftoYwl77oRSgG5vL/mkd8zEFEGYhaIDSlV9vLgXzSzMtcUd1me4GMq3NVEsUuHQaAtZDChrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T11:16:35.962855Z"},"content_sha256":"b3f10fa5baf5fa4b47c505c519ddc559ccd04959a862f18f0a33a7f9cef927e9","schema_version":"1.0","event_id":"sha256:b3f10fa5baf5fa4b47c505c519ddc559ccd04959a862f18f0a33a7f9cef927e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TRRGHV4FQVB4B2YH4UH6T2ZKD7/bundle.json","state_url":"https://pith.science/pith/TRRGHV4FQVB4B2YH4UH6T2ZKD7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TRRGHV4FQVB4B2YH4UH6T2ZKD7/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":"2026-08-07T11:16:35Z","links":{"resolver":"https://pith.science/pith/TRRGHV4FQVB4B2YH4UH6T2ZKD7","bundle":"https://pith.science/pith/TRRGHV4FQVB4B2YH4UH6T2ZKD7/bundle.json","state":"https://pith.science/pith/TRRGHV4FQVB4B2YH4UH6T2ZKD7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TRRGHV4FQVB4B2YH4UH6T2ZKD7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:TRRGHV4FQVB4B2YH4UH6T2ZKD7","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":"55f45d310faefd489721d7983adedbb5eed99824c1582294a33e056a98f302b6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-09-30T15:37:11Z","title_canon_sha256":"63dc2884b68d0cda25fa37c8a585106200a1fc4a269017fd7bdcf5a30237162d"},"schema_version":"1.0","source":{"id":"hep-th/0409315","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0409315","created_at":"2026-07-04T15:20:30Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0409315v1","created_at":"2026-07-04T15:20:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0409315","created_at":"2026-07-04T15:20:30Z"},{"alias_kind":"pith_short_12","alias_value":"TRRGHV4FQVB4","created_at":"2026-07-04T15:20:30Z"},{"alias_kind":"pith_short_16","alias_value":"TRRGHV4FQVB4B2YH","created_at":"2026-07-04T15:20:30Z"},{"alias_kind":"pith_short_8","alias_value":"TRRGHV4F","created_at":"2026-07-04T15:20:30Z"}],"graph_snapshots":[{"event_id":"sha256:b3f10fa5baf5fa4b47c505c519ddc559ccd04959a862f18f0a33a7f9cef927e9","target":"graph","created_at":"2026-07-04T15:20:30Z","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/0409315/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study non planar corrections to the spectrum of operators in the ${\\mathcal N}=2$ supersymmetric Yang Mills theory which are dual to string states in the maximally supersymmetric pp-wave background with a {\\em compact} light-cone direction. The existence of a positive definite discrete light-cone momentum greatly simplifies the operator mixing problem. We give some examples where the contribution of all orders in non-planar diagrams can be found analytically. On the string theory side this corresponds to finding the spectrum of a string state to all orders in string loop corrections.","authors_text":"G. De Risi, G. Grignani, G. W. Semenoff, M. Orselli","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-09-30T15:37:11Z","title":"DLCQ String Spectrum from ${\\cal N}=2$ SYM Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0409315","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":"sha256:95a8d25b580bb809fd25968ebd5ae8bee3aa7a2b5716341289be5a52c5a9dde7","target":"record","created_at":"2026-07-04T15:20:30Z","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":"55f45d310faefd489721d7983adedbb5eed99824c1582294a33e056a98f302b6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-09-30T15:37:11Z","title_canon_sha256":"63dc2884b68d0cda25fa37c8a585106200a1fc4a269017fd7bdcf5a30237162d"},"schema_version":"1.0","source":{"id":"hep-th/0409315","kind":"arxiv","version":1}},"canonical_sha256":"9c6263d7858543c0eb07e50fe9eb2a1fd65ec7c56efb513895c9f05a9ad43790","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c6263d7858543c0eb07e50fe9eb2a1fd65ec7c56efb513895c9f05a9ad43790","first_computed_at":"2026-07-04T15:20:30.761032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:20:30.761032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ek4aF7FCArRvRgHSLkG7ZwE0NSx+EkvVVpvQFzkuz2cgOkl/tzYPGJb/n8zuraAEpVEHmdMzzZ6YexGcy1/LBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:20:30.761454Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0409315","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95a8d25b580bb809fd25968ebd5ae8bee3aa7a2b5716341289be5a52c5a9dde7","sha256:b3f10fa5baf5fa4b47c505c519ddc559ccd04959a862f18f0a33a7f9cef927e9"],"state_sha256":"b28c6aa347ef47c267068c12f13250ea3fe59f81ea8fe10c51a5e094a575966c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QFh7spYOgg9BNnQhEANqhPTvn714ocOxPd1d/L6MsQ9mfCt5P+MyZtxPES3O6KVtZukkh+M8UXfKGFtoiXkJDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T11:16:35.968578Z","bundle_sha256":"110b2df24a1df0dc6b441a31f779038003906297e9260d995aa1c1c4b7d82940"}}