{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LWI4EG7AEXKWWCE57BTKSUNQNH","short_pith_number":"pith:LWI4EG7A","canonical_record":{"source":{"id":"2401.14662","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-01-26T05:57:56Z","cross_cats_sorted":[],"title_canon_sha256":"7c75abebbfb66acc28b1af2957ddbffad6f2d48ccc0ddf6f485c2e6e01b0175e","abstract_canon_sha256":"05001e10351af55c6549d5c56e9b85a74eb885479de687ede6a9fc24a7a4ed0f"},"schema_version":"1.0"},"canonical_sha256":"5d91c21be025d56b089df866a951b069e3bed213def01d0dabacb2b4df8a62f7","source":{"kind":"arxiv","id":"2401.14662","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.14662","created_at":"2026-07-05T08:44:11Z"},{"alias_kind":"arxiv_version","alias_value":"2401.14662v3","created_at":"2026-07-05T08:44:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.14662","created_at":"2026-07-05T08:44:11Z"},{"alias_kind":"pith_short_12","alias_value":"LWI4EG7AEXKW","created_at":"2026-07-05T08:44:11Z"},{"alias_kind":"pith_short_16","alias_value":"LWI4EG7AEXKWWCE5","created_at":"2026-07-05T08:44:11Z"},{"alias_kind":"pith_short_8","alias_value":"LWI4EG7A","created_at":"2026-07-05T08:44:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LWI4EG7AEXKWWCE57BTKSUNQNH","target":"record","payload":{"canonical_record":{"source":{"id":"2401.14662","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-01-26T05:57:56Z","cross_cats_sorted":[],"title_canon_sha256":"7c75abebbfb66acc28b1af2957ddbffad6f2d48ccc0ddf6f485c2e6e01b0175e","abstract_canon_sha256":"05001e10351af55c6549d5c56e9b85a74eb885479de687ede6a9fc24a7a4ed0f"},"schema_version":"1.0"},"canonical_sha256":"5d91c21be025d56b089df866a951b069e3bed213def01d0dabacb2b4df8a62f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:44:11.608867Z","signature_b64":"Tkh3xMpVUDMspKzBGfD2WWjJKkDxabnc2V9lOU7c6KawxkYggCrJCo8IjbKGXQaYzTmxZKJlmXTFlLjLjMeeDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d91c21be025d56b089df866a951b069e3bed213def01d0dabacb2b4df8a62f7","last_reissued_at":"2026-07-05T08:44:11.608409Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:44:11.608409Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2401.14662","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:44:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"17wmfdn0yC1+evuw33ZGBWR9IZQWO7Vtq00ibpCVcQ/j9xLMJQo7R/HnWCXt+p7WQ6gEtJ2e5Cs96MZVs6XADQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T00:44:33.208649Z"},"content_sha256":"4772cba7b534ef54b0cd54b2e4251cd42620978d0db20132602a4f6c1b3c2e51","schema_version":"1.0","event_id":"sha256:4772cba7b534ef54b0cd54b2e4251cd42620978d0db20132602a4f6c1b3c2e51"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LWI4EG7AEXKWWCE57BTKSUNQNH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Liouville Irregular States of Half-Integer Ranks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ryo Hamachika, Shou Tanigawa, Takahiro Nishinaka, Tomoki Nakanishi","submitted_at":"2024-01-26T05:57:56Z","abstract_excerpt":"We conjecture a set of differential equations that characterizes the Liouville irregular states of half-integer ranks, which extends the generalized AGT correspondence to all the $(A_1,A_\\text{even})$ and $(A_1,D_\\text{odd})$ types Argyres-Douglas theories. For lower half-integer ranks, our conjecture is verified by deriving it as a suitable limit of a similar set of differential equations for integer ranks. This limit is interpreted as the 2D counterpart of a 4D RG-flow from $(A_1,D_{2n})$ to $(A_1,D_{2n-1})$. For rank $3/2$, we solve the conjectured differential equations and find a power se"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.14662","kind":"arxiv","version":3},"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/2401.14662/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":"2026-07-05T08:44:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tOutU+oPKHECpdNLI1uNVwklNaeuLBbY/C8Mvc4xlctdeyJ5CsyzwjcPjo5eKyD4l7q343NGjmLLxPPP5BucBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T00:44:33.209835Z"},"content_sha256":"b2e79385e9e071a1f83726897763a5a23e22ae95787ab21df41b1b266f2b4628","schema_version":"1.0","event_id":"sha256:b2e79385e9e071a1f83726897763a5a23e22ae95787ab21df41b1b266f2b4628"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LWI4EG7AEXKWWCE57BTKSUNQNH/bundle.json","state_url":"https://pith.science/pith/LWI4EG7AEXKWWCE57BTKSUNQNH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LWI4EG7AEXKWWCE57BTKSUNQNH/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":"2026-08-08T00:44:33Z","links":{"resolver":"https://pith.science/pith/LWI4EG7AEXKWWCE57BTKSUNQNH","bundle":"https://pith.science/pith/LWI4EG7AEXKWWCE57BTKSUNQNH/bundle.json","state":"https://pith.science/pith/LWI4EG7AEXKWWCE57BTKSUNQNH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LWI4EG7AEXKWWCE57BTKSUNQNH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LWI4EG7AEXKWWCE57BTKSUNQNH","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":"05001e10351af55c6549d5c56e9b85a74eb885479de687ede6a9fc24a7a4ed0f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-01-26T05:57:56Z","title_canon_sha256":"7c75abebbfb66acc28b1af2957ddbffad6f2d48ccc0ddf6f485c2e6e01b0175e"},"schema_version":"1.0","source":{"id":"2401.14662","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.14662","created_at":"2026-07-05T08:44:11Z"},{"alias_kind":"arxiv_version","alias_value":"2401.14662v3","created_at":"2026-07-05T08:44:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.14662","created_at":"2026-07-05T08:44:11Z"},{"alias_kind":"pith_short_12","alias_value":"LWI4EG7AEXKW","created_at":"2026-07-05T08:44:11Z"},{"alias_kind":"pith_short_16","alias_value":"LWI4EG7AEXKWWCE5","created_at":"2026-07-05T08:44:11Z"},{"alias_kind":"pith_short_8","alias_value":"LWI4EG7A","created_at":"2026-07-05T08:44:11Z"}],"graph_snapshots":[{"event_id":"sha256:b2e79385e9e071a1f83726897763a5a23e22ae95787ab21df41b1b266f2b4628","target":"graph","created_at":"2026-07-05T08:44:11Z","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/2401.14662/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We conjecture a set of differential equations that characterizes the Liouville irregular states of half-integer ranks, which extends the generalized AGT correspondence to all the $(A_1,A_\\text{even})$ and $(A_1,D_\\text{odd})$ types Argyres-Douglas theories. For lower half-integer ranks, our conjecture is verified by deriving it as a suitable limit of a similar set of differential equations for integer ranks. This limit is interpreted as the 2D counterpart of a 4D RG-flow from $(A_1,D_{2n})$ to $(A_1,D_{2n-1})$. For rank $3/2$, we solve the conjectured differential equations and find a power se","authors_text":"Ryo Hamachika, Shou Tanigawa, Takahiro Nishinaka, Tomoki Nakanishi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-01-26T05:57:56Z","title":"Liouville Irregular States of Half-Integer Ranks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.14662","kind":"arxiv","version":3},"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":"sha256:4772cba7b534ef54b0cd54b2e4251cd42620978d0db20132602a4f6c1b3c2e51","target":"record","created_at":"2026-07-05T08:44:11Z","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":"05001e10351af55c6549d5c56e9b85a74eb885479de687ede6a9fc24a7a4ed0f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-01-26T05:57:56Z","title_canon_sha256":"7c75abebbfb66acc28b1af2957ddbffad6f2d48ccc0ddf6f485c2e6e01b0175e"},"schema_version":"1.0","source":{"id":"2401.14662","kind":"arxiv","version":3}},"canonical_sha256":"5d91c21be025d56b089df866a951b069e3bed213def01d0dabacb2b4df8a62f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d91c21be025d56b089df866a951b069e3bed213def01d0dabacb2b4df8a62f7","first_computed_at":"2026-07-05T08:44:11.608409Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:44:11.608409Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tkh3xMpVUDMspKzBGfD2WWjJKkDxabnc2V9lOU7c6KawxkYggCrJCo8IjbKGXQaYzTmxZKJlmXTFlLjLjMeeDA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:44:11.608867Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.14662","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4772cba7b534ef54b0cd54b2e4251cd42620978d0db20132602a4f6c1b3c2e51","sha256:b2e79385e9e071a1f83726897763a5a23e22ae95787ab21df41b1b266f2b4628"],"state_sha256":"9499ec863e17e200f2c27cbb2503b5e356cabedfb33d45108334cb37e01bdea1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oWIPiVauMAVRRwxsj6Set+nAJScYuS8WhVNfvU1bVgIOX1eFZh/6wUjjIGpNrusrEulsySk4nUsFBdKrCBO9Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T00:44:33.238389Z","bundle_sha256":"1504eac613e72c5f2c88feeb4b2542d3880094bc2893d50678b147e4a201aee1"}}