{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:V3MXU7B5Z4GSVNF2NXRN322BU6","short_pith_number":"pith:V3MXU7B5","canonical_record":{"source":{"id":"2401.14392","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-25T18:50:20Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"faa82d2b6930f4894053c918ce1776c7fdaf6b0e9e577e6f771ff4f0a1fffb13","abstract_canon_sha256":"2503dc984ce5411004f349021de8172db874430e44c97eb2bd69c0e0cd396b81"},"schema_version":"1.0"},"canonical_sha256":"aed97a7c3dcf0d2ab4ba6de2ddeb41a78761d86aa784f3dfb5e050502a27fcfd","source":{"kind":"arxiv","id":"2401.14392","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.14392","created_at":"2026-07-05T08:06:46Z"},{"alias_kind":"arxiv_version","alias_value":"2401.14392v1","created_at":"2026-07-05T08:06:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.14392","created_at":"2026-07-05T08:06:46Z"},{"alias_kind":"pith_short_12","alias_value":"V3MXU7B5Z4GS","created_at":"2026-07-05T08:06:46Z"},{"alias_kind":"pith_short_16","alias_value":"V3MXU7B5Z4GSVNF2","created_at":"2026-07-05T08:06:46Z"},{"alias_kind":"pith_short_8","alias_value":"V3MXU7B5","created_at":"2026-07-05T08:06:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:V3MXU7B5Z4GSVNF2NXRN322BU6","target":"record","payload":{"canonical_record":{"source":{"id":"2401.14392","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-25T18:50:20Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"faa82d2b6930f4894053c918ce1776c7fdaf6b0e9e577e6f771ff4f0a1fffb13","abstract_canon_sha256":"2503dc984ce5411004f349021de8172db874430e44c97eb2bd69c0e0cd396b81"},"schema_version":"1.0"},"canonical_sha256":"aed97a7c3dcf0d2ab4ba6de2ddeb41a78761d86aa784f3dfb5e050502a27fcfd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:06:46.185567Z","signature_b64":"wiS+dgghPlMzUBIZjIacpips4uhVbpq1bDD0YyQOfujc+Mlsagf43OXYV6tQhAzXCztkcubkSEHDvDkFGNl6Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aed97a7c3dcf0d2ab4ba6de2ddeb41a78761d86aa784f3dfb5e050502a27fcfd","last_reissued_at":"2026-07-05T08:06:46.185106Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:06:46.185106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2401.14392","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":"2026-07-05T08:06:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TQqmSJF17OHTPo8kl9pB1m+oqjg5u18fg6ZUH5Ajsb+sF3TICGRdisWDmN51JVe0osQlco5RWR5hNr+zJ2XzDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T18:31:36.038457Z"},"content_sha256":"7679f814c38c634fb6c729d55d3908fb63b9c5e5e09a005a02438781f4e1dcef","schema_version":"1.0","event_id":"sha256:7679f814c38c634fb6c729d55d3908fb63b9c5e5e09a005a02438781f4e1dcef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:V3MXU7B5Z4GSVNF2NXRN322BU6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Summing up perturbation series around superintegrable point","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"A. Mironov, A. Morozov, A. Popolitov, Sh. Shakirov","submitted_at":"2024-01-25T18:50:20Z","abstract_excerpt":"We work out explicit formulas for correlators in the Gaussian matrix model perturbed by a logarithmic potential, i.e. by inserting Miwa variables. In this paper, we concentrate on the example of a single Miwa variable. The ordinary Gaussian model is superintegrable, i.e. the average of the Schur functions $S_Q$ is an explicit function of the Young diagram $Q$. The question is what happens to this property after perturbation. We show that the entire perturbation series can be nicely summed up into a kind of Borel transform of a universal exponential function, while the dependence on $R$ enters "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.14392","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/2401.14392/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":"2026-07-05T08:06:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1pgl30VVVB+MVoii/292MSYlZKGmHjWaz+0eQkXANHoobqHBGg2VBIYhtCAYEdhzM9tNmWBpl12FJ2gNmO71BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T18:31:36.039021Z"},"content_sha256":"20790767916dd7280852d08be99c93b3b21b34b466d00eab58ebabcb019bd379","schema_version":"1.0","event_id":"sha256:20790767916dd7280852d08be99c93b3b21b34b466d00eab58ebabcb019bd379"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V3MXU7B5Z4GSVNF2NXRN322BU6/bundle.json","state_url":"https://pith.science/pith/V3MXU7B5Z4GSVNF2NXRN322BU6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V3MXU7B5Z4GSVNF2NXRN322BU6/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":"2026-08-05T18:31:36Z","links":{"resolver":"https://pith.science/pith/V3MXU7B5Z4GSVNF2NXRN322BU6","bundle":"https://pith.science/pith/V3MXU7B5Z4GSVNF2NXRN322BU6/bundle.json","state":"https://pith.science/pith/V3MXU7B5Z4GSVNF2NXRN322BU6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V3MXU7B5Z4GSVNF2NXRN322BU6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:V3MXU7B5Z4GSVNF2NXRN322BU6","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":"2503dc984ce5411004f349021de8172db874430e44c97eb2bd69c0e0cd396b81","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-25T18:50:20Z","title_canon_sha256":"faa82d2b6930f4894053c918ce1776c7fdaf6b0e9e577e6f771ff4f0a1fffb13"},"schema_version":"1.0","source":{"id":"2401.14392","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.14392","created_at":"2026-07-05T08:06:46Z"},{"alias_kind":"arxiv_version","alias_value":"2401.14392v1","created_at":"2026-07-05T08:06:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.14392","created_at":"2026-07-05T08:06:46Z"},{"alias_kind":"pith_short_12","alias_value":"V3MXU7B5Z4GS","created_at":"2026-07-05T08:06:46Z"},{"alias_kind":"pith_short_16","alias_value":"V3MXU7B5Z4GSVNF2","created_at":"2026-07-05T08:06:46Z"},{"alias_kind":"pith_short_8","alias_value":"V3MXU7B5","created_at":"2026-07-05T08:06:46Z"}],"graph_snapshots":[{"event_id":"sha256:20790767916dd7280852d08be99c93b3b21b34b466d00eab58ebabcb019bd379","target":"graph","created_at":"2026-07-05T08:06:46Z","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/2401.14392/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We work out explicit formulas for correlators in the Gaussian matrix model perturbed by a logarithmic potential, i.e. by inserting Miwa variables. In this paper, we concentrate on the example of a single Miwa variable. The ordinary Gaussian model is superintegrable, i.e. the average of the Schur functions $S_Q$ is an explicit function of the Young diagram $Q$. The question is what happens to this property after perturbation. We show that the entire perturbation series can be nicely summed up into a kind of Borel transform of a universal exponential function, while the dependence on $R$ enters ","authors_text":"A. Mironov, A. Morozov, A. Popolitov, Sh. Shakirov","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-25T18:50:20Z","title":"Summing up perturbation series around superintegrable point"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.14392","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":"sha256:7679f814c38c634fb6c729d55d3908fb63b9c5e5e09a005a02438781f4e1dcef","target":"record","created_at":"2026-07-05T08:06:46Z","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":"2503dc984ce5411004f349021de8172db874430e44c97eb2bd69c0e0cd396b81","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-25T18:50:20Z","title_canon_sha256":"faa82d2b6930f4894053c918ce1776c7fdaf6b0e9e577e6f771ff4f0a1fffb13"},"schema_version":"1.0","source":{"id":"2401.14392","kind":"arxiv","version":1}},"canonical_sha256":"aed97a7c3dcf0d2ab4ba6de2ddeb41a78761d86aa784f3dfb5e050502a27fcfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aed97a7c3dcf0d2ab4ba6de2ddeb41a78761d86aa784f3dfb5e050502a27fcfd","first_computed_at":"2026-07-05T08:06:46.185106Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:06:46.185106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wiS+dgghPlMzUBIZjIacpips4uhVbpq1bDD0YyQOfujc+Mlsagf43OXYV6tQhAzXCztkcubkSEHDvDkFGNl6Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:06:46.185567Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.14392","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7679f814c38c634fb6c729d55d3908fb63b9c5e5e09a005a02438781f4e1dcef","sha256:20790767916dd7280852d08be99c93b3b21b34b466d00eab58ebabcb019bd379"],"state_sha256":"8446f8f63db146c0278f0174339bbe19a896cdb244679e7f38e228112e50a45c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I2aNdAKY8TKQfGFFslxEGbIJzajZb0L+KQAOcbRvEugYyAtg3kwVWIXU9MDt7fX39yhXKcqxK9g+D/88u1hiCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T18:31:36.042248Z","bundle_sha256":"0e18409789faf1dfb8f2b6af71f4b76c36d0465ecf7b2ba795eeabfb098bb9e8"}}