{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:U4BWOMBZQ54WGGETOJ5QVURBAR","short_pith_number":"pith:U4BWOMBZ","canonical_record":{"source":{"id":"2508.20793","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-28T13:54:47Z","cross_cats_sorted":["math-ph","math.MP","math.QA"],"title_canon_sha256":"6eff88ff633db2ce45c959b0e717c0b6c9f8789270876aa7cfccd20a1bdfc297","abstract_canon_sha256":"c6ecd0eb47309cf501f4fce5074b1a594980a8850ee74531bb7f6fdf1a6b4c57"},"schema_version":"1.0"},"canonical_sha256":"a7036730398779631893727b0ad2210458227906d2bd5b9c0ca8c742bd779f8d","source":{"kind":"arxiv","id":"2508.20793","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.20793","created_at":"2026-07-05T12:01:11Z"},{"alias_kind":"arxiv_version","alias_value":"2508.20793v1","created_at":"2026-07-05T12:01:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.20793","created_at":"2026-07-05T12:01:11Z"},{"alias_kind":"pith_short_12","alias_value":"U4BWOMBZQ54W","created_at":"2026-07-05T12:01:11Z"},{"alias_kind":"pith_short_16","alias_value":"U4BWOMBZQ54WGGET","created_at":"2026-07-05T12:01:11Z"},{"alias_kind":"pith_short_8","alias_value":"U4BWOMBZ","created_at":"2026-07-05T12:01:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:U4BWOMBZQ54WGGETOJ5QVURBAR","target":"record","payload":{"canonical_record":{"source":{"id":"2508.20793","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-28T13:54:47Z","cross_cats_sorted":["math-ph","math.MP","math.QA"],"title_canon_sha256":"6eff88ff633db2ce45c959b0e717c0b6c9f8789270876aa7cfccd20a1bdfc297","abstract_canon_sha256":"c6ecd0eb47309cf501f4fce5074b1a594980a8850ee74531bb7f6fdf1a6b4c57"},"schema_version":"1.0"},"canonical_sha256":"a7036730398779631893727b0ad2210458227906d2bd5b9c0ca8c742bd779f8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:01:11.036461Z","signature_b64":"oBuudt9zcZTwwMqB/u8u2yJvtuVysqcAyoUoRId6Z/0Xthi7o04XfMj0qHY6/io6ApSR/SfuzlwOmHZURNCXAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7036730398779631893727b0ad2210458227906d2bd5b9c0ca8c742bd779f8d","last_reissued_at":"2026-07-05T12:01:11.035960Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:01:11.035960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.20793","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":"2026-07-05T12:01:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VOkOi9ENTKy12yG05HtqsiqkOnGNGpxfGykg4OoAhPQztfayillNBsh1niw15qM3w8uunwVtFOyF3yudPnX/Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T23:42:48.879090Z"},"content_sha256":"94244a79980c84ff6eba2814b3626d1c5bfc4c3117017cb2b00eee8c2d2b7b9f","schema_version":"1.0","event_id":"sha256:94244a79980c84ff6eba2814b3626d1c5bfc4c3117017cb2b00eee8c2d2b7b9f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:U4BWOMBZQ54WGGETOJ5QVURBAR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On W-algebras and ODE/IM correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"Mat\\v{e}j Kudrna, Tom\\'a\\v{s} Proch\\'azka","submitted_at":"2025-08-28T13:54:47Z","abstract_excerpt":"We study the ODE/IM correspondence for two-dimensional conformal field theories with Virasoro and $\\mathcal{W}_N$ symmetry. Building on earlier work establishing the correspondence, we develop a systematic algorithm for calculating the eigenvalues of local integrals of motion in terms of the Bethe roots using formal WKB expansions of wave functions associated to the differential operators. The method is demonstrated explicitly for Virasoro, $\\mathcal{W}_3$, and $\\mathcal{W}_4$ algebras, yielding closed expressions for the eigenvalues of the first few local quantum KdV Hamiltonians. A key geome"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.20793","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/2508.20793/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":"2026-07-05T12:01:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NG6w5A9Krz8baTFlMLgEt/2Qic4+L1TdAJeLQPmqSYKkNDK7WFhnZpFvkQBkWkDDhSVMGmuhZlF8fVCZWF3SDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T23:42:48.879593Z"},"content_sha256":"3970c8cc3af8dc36a168244859fe1bf266e45a80866b22a781e0c60cf7f574d1","schema_version":"1.0","event_id":"sha256:3970c8cc3af8dc36a168244859fe1bf266e45a80866b22a781e0c60cf7f574d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U4BWOMBZQ54WGGETOJ5QVURBAR/bundle.json","state_url":"https://pith.science/pith/U4BWOMBZQ54WGGETOJ5QVURBAR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U4BWOMBZQ54WGGETOJ5QVURBAR/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":"2026-08-20T23:42:48Z","links":{"resolver":"https://pith.science/pith/U4BWOMBZQ54WGGETOJ5QVURBAR","bundle":"https://pith.science/pith/U4BWOMBZQ54WGGETOJ5QVURBAR/bundle.json","state":"https://pith.science/pith/U4BWOMBZQ54WGGETOJ5QVURBAR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U4BWOMBZQ54WGGETOJ5QVURBAR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:U4BWOMBZQ54WGGETOJ5QVURBAR","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":"c6ecd0eb47309cf501f4fce5074b1a594980a8850ee74531bb7f6fdf1a6b4c57","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-28T13:54:47Z","title_canon_sha256":"6eff88ff633db2ce45c959b0e717c0b6c9f8789270876aa7cfccd20a1bdfc297"},"schema_version":"1.0","source":{"id":"2508.20793","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.20793","created_at":"2026-07-05T12:01:11Z"},{"alias_kind":"arxiv_version","alias_value":"2508.20793v1","created_at":"2026-07-05T12:01:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.20793","created_at":"2026-07-05T12:01:11Z"},{"alias_kind":"pith_short_12","alias_value":"U4BWOMBZQ54W","created_at":"2026-07-05T12:01:11Z"},{"alias_kind":"pith_short_16","alias_value":"U4BWOMBZQ54WGGET","created_at":"2026-07-05T12:01:11Z"},{"alias_kind":"pith_short_8","alias_value":"U4BWOMBZ","created_at":"2026-07-05T12:01:11Z"}],"graph_snapshots":[{"event_id":"sha256:3970c8cc3af8dc36a168244859fe1bf266e45a80866b22a781e0c60cf7f574d1","target":"graph","created_at":"2026-07-05T12:01:11Z","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/2508.20793/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the ODE/IM correspondence for two-dimensional conformal field theories with Virasoro and $\\mathcal{W}_N$ symmetry. Building on earlier work establishing the correspondence, we develop a systematic algorithm for calculating the eigenvalues of local integrals of motion in terms of the Bethe roots using formal WKB expansions of wave functions associated to the differential operators. The method is demonstrated explicitly for Virasoro, $\\mathcal{W}_3$, and $\\mathcal{W}_4$ algebras, yielding closed expressions for the eigenvalues of the first few local quantum KdV Hamiltonians. A key geome","authors_text":"Mat\\v{e}j Kudrna, Tom\\'a\\v{s} Proch\\'azka","cross_cats":["math-ph","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-28T13:54:47Z","title":"On W-algebras and ODE/IM correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.20793","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":"sha256:94244a79980c84ff6eba2814b3626d1c5bfc4c3117017cb2b00eee8c2d2b7b9f","target":"record","created_at":"2026-07-05T12:01:11Z","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":"c6ecd0eb47309cf501f4fce5074b1a594980a8850ee74531bb7f6fdf1a6b4c57","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-28T13:54:47Z","title_canon_sha256":"6eff88ff633db2ce45c959b0e717c0b6c9f8789270876aa7cfccd20a1bdfc297"},"schema_version":"1.0","source":{"id":"2508.20793","kind":"arxiv","version":1}},"canonical_sha256":"a7036730398779631893727b0ad2210458227906d2bd5b9c0ca8c742bd779f8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7036730398779631893727b0ad2210458227906d2bd5b9c0ca8c742bd779f8d","first_computed_at":"2026-07-05T12:01:11.035960Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:01:11.035960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oBuudt9zcZTwwMqB/u8u2yJvtuVysqcAyoUoRId6Z/0Xthi7o04XfMj0qHY6/io6ApSR/SfuzlwOmHZURNCXAg==","signature_status":"signed_v1","signed_at":"2026-07-05T12:01:11.036461Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.20793","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94244a79980c84ff6eba2814b3626d1c5bfc4c3117017cb2b00eee8c2d2b7b9f","sha256:3970c8cc3af8dc36a168244859fe1bf266e45a80866b22a781e0c60cf7f574d1"],"state_sha256":"fbbebeda1055794d0e1dfaab663c97939ed8c12c9b8903a726291dc2b50a3c64"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zoz9x+koQFrEX/d64s2RC4PZu9/DbiEp7moW4uozPKhex8KsY62u3oGJ/Sq5dtU63P1nNi0rehn+3ZPLT1bhDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T23:42:48.884020Z","bundle_sha256":"9bae9faf4b73130968dea27eabc608e3f49e8a80e45a054e3a7b3b92ceedb1e8"}}