{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:JMGLE3TCSCZ6LUJRMHVH73HXLB","short_pith_number":"pith:JMGLE3TC","canonical_record":{"source":{"id":"1801.03067","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-01-09T18:17:10Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"title_canon_sha256":"766013e26404b837df3495f5efd719a70229aee427ac8321bf53bf3af61ebe56","abstract_canon_sha256":"4fffaeef351309ffde68ab4fbb1dd33528a836555230d857f09e4cb9aebe21e7"},"schema_version":"1.0"},"canonical_sha256":"4b0cb26e6290b3e5d13161ea7fecf75876d99e09b87a492ae0680d9e65ce3996","source":{"kind":"arxiv","id":"1801.03067","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.03067","created_at":"2026-05-18T00:04:59Z"},{"alias_kind":"arxiv_version","alias_value":"1801.03067v2","created_at":"2026-05-18T00:04:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03067","created_at":"2026-05-18T00:04:59Z"},{"alias_kind":"pith_short_12","alias_value":"JMGLE3TCSCZ6","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JMGLE3TCSCZ6LUJR","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JMGLE3TC","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:JMGLE3TCSCZ6LUJRMHVH73HXLB","target":"record","payload":{"canonical_record":{"source":{"id":"1801.03067","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-01-09T18:17:10Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"title_canon_sha256":"766013e26404b837df3495f5efd719a70229aee427ac8321bf53bf3af61ebe56","abstract_canon_sha256":"4fffaeef351309ffde68ab4fbb1dd33528a836555230d857f09e4cb9aebe21e7"},"schema_version":"1.0"},"canonical_sha256":"4b0cb26e6290b3e5d13161ea7fecf75876d99e09b87a492ae0680d9e65ce3996","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:59.776502Z","signature_b64":"JIyqnxZOtjlObCLZbm3megFUuxA7R/uXgNChL5aQPSeL5a4k8Chfryr4ZZEJIJPwU/zccQa1/Z1ptNIwBSGuCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b0cb26e6290b3e5d13161ea7fecf75876d99e09b87a492ae0680d9e65ce3996","last_reissued_at":"2026-05-18T00:04:59.776058Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:59.776058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.03067","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6ibZJNfzVUpYZBrSzvelNAG8uSK/VyUzOaJ+AwPfWWU4TK2kCK0Y12AJ34wHz+xb23oWBGUKsgLM3NuQVi1mDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:08:53.192352Z"},"content_sha256":"29b43dd21a4a4f3b109f73a6a53209be7c5dc88578c2f4be09bc41217019961a","schema_version":"1.0","event_id":"sha256:29b43dd21a4a4f3b109f73a6a53209be7c5dc88578c2f4be09bc41217019961a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:JMGLE3TCSCZ6LUJRMHVH73HXLB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On statistical models on super trees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"A.F. Valov, A.S. Gorsky, S.K. Nechaev","submitted_at":"2018-01-09T18:17:10Z","abstract_excerpt":"We consider a particular example of interplay between statistical models related to CFT on one hand, and to the spectral properties of ODE, known as ODE/IS correspondence, on the other hand. We focus at the representation of wave functions of Schr\\\"odinger operators in terms of spectral properties of associated transfer matrices on \"super trees\" (the trees whose vertex degree changes with the distance from the root point). Such trees with varying branchings encode the structure of the Fock space of the model. We discuss basic spectral properties of \"averaged random matrix ensembles\" in terms o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03067","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T00:04:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YSOyKpeT+vBC4w+3iU16+yQQ03GXRAvaFhi59z6dqXQfZTmwnjh8CgQjrjfCzNPdC7b1m0tLe+uOGQipK2vwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:08:53.192721Z"},"content_sha256":"34ee333bd65194bacb0c55c41023ee6b41ca81d8e875520cf2de2c6507eb419c","schema_version":"1.0","event_id":"sha256:34ee333bd65194bacb0c55c41023ee6b41ca81d8e875520cf2de2c6507eb419c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JMGLE3TCSCZ6LUJRMHVH73HXLB/bundle.json","state_url":"https://pith.science/pith/JMGLE3TCSCZ6LUJRMHVH73HXLB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JMGLE3TCSCZ6LUJRMHVH73HXLB/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":"2026-05-31T06:08:53Z","links":{"resolver":"https://pith.science/pith/JMGLE3TCSCZ6LUJRMHVH73HXLB","bundle":"https://pith.science/pith/JMGLE3TCSCZ6LUJRMHVH73HXLB/bundle.json","state":"https://pith.science/pith/JMGLE3TCSCZ6LUJRMHVH73HXLB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JMGLE3TCSCZ6LUJRMHVH73HXLB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JMGLE3TCSCZ6LUJRMHVH73HXLB","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":"4fffaeef351309ffde68ab4fbb1dd33528a836555230d857f09e4cb9aebe21e7","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-01-09T18:17:10Z","title_canon_sha256":"766013e26404b837df3495f5efd719a70229aee427ac8321bf53bf3af61ebe56"},"schema_version":"1.0","source":{"id":"1801.03067","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.03067","created_at":"2026-05-18T00:04:59Z"},{"alias_kind":"arxiv_version","alias_value":"1801.03067v2","created_at":"2026-05-18T00:04:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03067","created_at":"2026-05-18T00:04:59Z"},{"alias_kind":"pith_short_12","alias_value":"JMGLE3TCSCZ6","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JMGLE3TCSCZ6LUJR","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JMGLE3TC","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:34ee333bd65194bacb0c55c41023ee6b41ca81d8e875520cf2de2c6507eb419c","target":"graph","created_at":"2026-05-18T00:04:59Z","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"},"paper":{"abstract_excerpt":"We consider a particular example of interplay between statistical models related to CFT on one hand, and to the spectral properties of ODE, known as ODE/IS correspondence, on the other hand. We focus at the representation of wave functions of Schr\\\"odinger operators in terms of spectral properties of associated transfer matrices on \"super trees\" (the trees whose vertex degree changes with the distance from the root point). Such trees with varying branchings encode the structure of the Fock space of the model. We discuss basic spectral properties of \"averaged random matrix ensembles\" in terms o","authors_text":"A.F. Valov, A.S. Gorsky, S.K. Nechaev","cross_cats":["cond-mat.stat-mech","hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-01-09T18:17:10Z","title":"On statistical models on super trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03067","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":"sha256:29b43dd21a4a4f3b109f73a6a53209be7c5dc88578c2f4be09bc41217019961a","target":"record","created_at":"2026-05-18T00:04:59Z","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":"4fffaeef351309ffde68ab4fbb1dd33528a836555230d857f09e4cb9aebe21e7","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-01-09T18:17:10Z","title_canon_sha256":"766013e26404b837df3495f5efd719a70229aee427ac8321bf53bf3af61ebe56"},"schema_version":"1.0","source":{"id":"1801.03067","kind":"arxiv","version":2}},"canonical_sha256":"4b0cb26e6290b3e5d13161ea7fecf75876d99e09b87a492ae0680d9e65ce3996","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b0cb26e6290b3e5d13161ea7fecf75876d99e09b87a492ae0680d9e65ce3996","first_computed_at":"2026-05-18T00:04:59.776058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:59.776058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JIyqnxZOtjlObCLZbm3megFUuxA7R/uXgNChL5aQPSeL5a4k8Chfryr4ZZEJIJPwU/zccQa1/Z1ptNIwBSGuCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:59.776502Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.03067","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29b43dd21a4a4f3b109f73a6a53209be7c5dc88578c2f4be09bc41217019961a","sha256:34ee333bd65194bacb0c55c41023ee6b41ca81d8e875520cf2de2c6507eb419c"],"state_sha256":"04d2d9c5ad84d2906cecb8bafbf0130630b69675f7dc317d23c874685738e9ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cfRNm82kO+Wl2TFxKE/PUibP0PEArQW3FKO4/ugeS7C5CuuSgK4K+ipqkkNB5M+O4nwjxa91O5G3Clv7moD2AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T06:08:53.194782Z","bundle_sha256":"2aaa83a5189cc091300a51e12ea5be7115fd899aead887406d98e6ccb0f57c95"}}