{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:VENBQWJGA3CP2IKXPBEHW4XWGP","short_pith_number":"pith:VENBQWJG","canonical_record":{"source":{"id":"hep-th/9302014","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-02-03T15:39:03Z","cross_cats_sorted":[],"title_canon_sha256":"7d179df620a71ef7dad3d9545ea828534b9a36e5cf1ae46bfc628f689f7e2901","abstract_canon_sha256":"5eb2fc85dfddf0c7af17c0372a201acf583b1cafbf417bb35a0b8ccf7de8f1d0"},"schema_version":"1.0"},"canonical_sha256":"a91a18592606c4fd215778487b72f633e5319a4cd167d1178f812735a559190e","source":{"kind":"arxiv","id":"hep-th/9302014","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9302014","created_at":"2026-07-04T15:55:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9302014v1","created_at":"2026-07-04T15:55:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9302014","created_at":"2026-07-04T15:55:55Z"},{"alias_kind":"pith_short_12","alias_value":"VENBQWJGA3CP","created_at":"2026-07-04T15:55:55Z"},{"alias_kind":"pith_short_16","alias_value":"VENBQWJGA3CP2IKX","created_at":"2026-07-04T15:55:55Z"},{"alias_kind":"pith_short_8","alias_value":"VENBQWJG","created_at":"2026-07-04T15:55:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:VENBQWJGA3CP2IKXPBEHW4XWGP","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9302014","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-02-03T15:39:03Z","cross_cats_sorted":[],"title_canon_sha256":"7d179df620a71ef7dad3d9545ea828534b9a36e5cf1ae46bfc628f689f7e2901","abstract_canon_sha256":"5eb2fc85dfddf0c7af17c0372a201acf583b1cafbf417bb35a0b8ccf7de8f1d0"},"schema_version":"1.0"},"canonical_sha256":"a91a18592606c4fd215778487b72f633e5319a4cd167d1178f812735a559190e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:55:55.378605Z","signature_b64":"5xNeVk8KmWY/3cBrpIuot+jbMNoupm/di90Rnc3YWMhaYTWCDEUfwbEJ5yWJM9a13JFWUpk/GY5y/lO4+wmDCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a91a18592606c4fd215778487b72f633e5319a4cd167d1178f812735a559190e","last_reissued_at":"2026-07-04T15:55:55.378217Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:55:55.378217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9302014","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":"2026-07-04T15:55:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fjC5qxtMPmtkwtAU3RNumvcbqw/bAY/m5Mwb+Wso3++ymha2PzFEPC4OHfrQsqZdnNiVD7Kcy9OL+ViNdlFlCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T04:21:35.948659Z"},"content_sha256":"6ed78a0bf48a23de14084b2ce9aa96d00a15293e3eb1655251b8ef80f6d4785d","schema_version":"1.0","event_id":"sha256:6ed78a0bf48a23de14084b2ce9aa96d00a15293e3eb1655251b8ef80f6d4785d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:VENBQWJGA3CP2IKXPBEHW4XWGP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Matrix Model Calculations beyond the Spherical Limit","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C.F. Kristjansen, J. Ambj{\\o}rn, L. Chekhov, Yu. Makeenko","submitted_at":"1993-02-03T15:39:03Z","abstract_excerpt":"We propose an improved iterative scheme for calculating higher genus contributions to the multi-loop (or multi-point) correlators and the partition function of the hermitian one matrix model. We present explicit results up to genus two. We develop a version which gives directly the result in the double scaling limit and present explicit results up to genus four. Using the latter version we prove that the hermitian and the complex matrix model are equivalent in the double scaling limit and that in this limit they are both equivalent to the Kontsevich model. We discuss how our results away from "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9302014","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/9302014/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":"2026-07-04T15:55:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0dwlgfYNKQv+QLjmfp6hEYg1U77DboK83VRd8NNpTtK8sXpxY2te3+oWCG8pipsNqzt4n5ZjGgmIrDTzzLhuAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T04:21:35.949171Z"},"content_sha256":"8d84ac2b399f184048033e61f329e21ad8493faffed4bd92557d62cb87291ef1","schema_version":"1.0","event_id":"sha256:8d84ac2b399f184048033e61f329e21ad8493faffed4bd92557d62cb87291ef1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VENBQWJGA3CP2IKXPBEHW4XWGP/bundle.json","state_url":"https://pith.science/pith/VENBQWJGA3CP2IKXPBEHW4XWGP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VENBQWJGA3CP2IKXPBEHW4XWGP/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":"2026-08-01T04:21:35Z","links":{"resolver":"https://pith.science/pith/VENBQWJGA3CP2IKXPBEHW4XWGP","bundle":"https://pith.science/pith/VENBQWJGA3CP2IKXPBEHW4XWGP/bundle.json","state":"https://pith.science/pith/VENBQWJGA3CP2IKXPBEHW4XWGP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VENBQWJGA3CP2IKXPBEHW4XWGP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:VENBQWJGA3CP2IKXPBEHW4XWGP","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":"5eb2fc85dfddf0c7af17c0372a201acf583b1cafbf417bb35a0b8ccf7de8f1d0","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-02-03T15:39:03Z","title_canon_sha256":"7d179df620a71ef7dad3d9545ea828534b9a36e5cf1ae46bfc628f689f7e2901"},"schema_version":"1.0","source":{"id":"hep-th/9302014","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9302014","created_at":"2026-07-04T15:55:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9302014v1","created_at":"2026-07-04T15:55:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9302014","created_at":"2026-07-04T15:55:55Z"},{"alias_kind":"pith_short_12","alias_value":"VENBQWJGA3CP","created_at":"2026-07-04T15:55:55Z"},{"alias_kind":"pith_short_16","alias_value":"VENBQWJGA3CP2IKX","created_at":"2026-07-04T15:55:55Z"},{"alias_kind":"pith_short_8","alias_value":"VENBQWJG","created_at":"2026-07-04T15:55:55Z"}],"graph_snapshots":[{"event_id":"sha256:8d84ac2b399f184048033e61f329e21ad8493faffed4bd92557d62cb87291ef1","target":"graph","created_at":"2026-07-04T15:55:55Z","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/9302014/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose an improved iterative scheme for calculating higher genus contributions to the multi-loop (or multi-point) correlators and the partition function of the hermitian one matrix model. We present explicit results up to genus two. We develop a version which gives directly the result in the double scaling limit and present explicit results up to genus four. Using the latter version we prove that the hermitian and the complex matrix model are equivalent in the double scaling limit and that in this limit they are both equivalent to the Kontsevich model. We discuss how our results away from ","authors_text":"C.F. Kristjansen, J. Ambj{\\o}rn, L. Chekhov, Yu. Makeenko","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1993-02-03T15:39:03Z","title":"Matrix Model Calculations beyond the Spherical Limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9302014","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":"sha256:6ed78a0bf48a23de14084b2ce9aa96d00a15293e3eb1655251b8ef80f6d4785d","target":"record","created_at":"2026-07-04T15:55:55Z","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":"5eb2fc85dfddf0c7af17c0372a201acf583b1cafbf417bb35a0b8ccf7de8f1d0","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-02-03T15:39:03Z","title_canon_sha256":"7d179df620a71ef7dad3d9545ea828534b9a36e5cf1ae46bfc628f689f7e2901"},"schema_version":"1.0","source":{"id":"hep-th/9302014","kind":"arxiv","version":1}},"canonical_sha256":"a91a18592606c4fd215778487b72f633e5319a4cd167d1178f812735a559190e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a91a18592606c4fd215778487b72f633e5319a4cd167d1178f812735a559190e","first_computed_at":"2026-07-04T15:55:55.378217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:55:55.378217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5xNeVk8KmWY/3cBrpIuot+jbMNoupm/di90Rnc3YWMhaYTWCDEUfwbEJ5yWJM9a13JFWUpk/GY5y/lO4+wmDCA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:55:55.378605Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9302014","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ed78a0bf48a23de14084b2ce9aa96d00a15293e3eb1655251b8ef80f6d4785d","sha256:8d84ac2b399f184048033e61f329e21ad8493faffed4bd92557d62cb87291ef1"],"state_sha256":"715fb103b03501396ee2819b2119e22c634d3f523d26082dbcefc2ac9e1d93a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wh3JZR1fL8UCx8CjTpiP1yG8E2EPt9YTvvEiZYCgPTmHgyGI/qgiFF+T6Dh/i+wX4/ZR5NuWZTavVs0XSjhHAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T04:21:35.954674Z","bundle_sha256":"06373aee92f371c6a7deeda9d2f4e8f61bb54256ec9722ef88ed545470589b9c"}}