{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:EQ7KKBYHIVNOL4BTXRG2WOW4R6","short_pith_number":"pith:EQ7KKBYH","canonical_record":{"source":{"id":"1312.5879","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-12-20T10:40:43Z","cross_cats_sorted":["math.CA","math.MP","nlin.SI"],"title_canon_sha256":"9d208e7a4d4d52b808d7a588666f00984d0f4776656187a67f34bee4c272a529","abstract_canon_sha256":"d6755145d062058062d2ac8c826c8b45e093cc4305bbeebc5e46a2eb00577a6e"},"schema_version":"1.0"},"canonical_sha256":"243ea50707455ae5f033bc4dab3adc8fb8f7c87567efa577e85e700a9c4326c7","source":{"kind":"arxiv","id":"1312.5879","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.5879","created_at":"2026-05-18T02:49:47Z"},{"alias_kind":"arxiv_version","alias_value":"1312.5879v2","created_at":"2026-05-18T02:49:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.5879","created_at":"2026-05-18T02:49:47Z"},{"alias_kind":"pith_short_12","alias_value":"EQ7KKBYHIVNO","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EQ7KKBYHIVNOL4BT","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EQ7KKBYH","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:EQ7KKBYHIVNOL4BTXRG2WOW4R6","target":"record","payload":{"canonical_record":{"source":{"id":"1312.5879","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-12-20T10:40:43Z","cross_cats_sorted":["math.CA","math.MP","nlin.SI"],"title_canon_sha256":"9d208e7a4d4d52b808d7a588666f00984d0f4776656187a67f34bee4c272a529","abstract_canon_sha256":"d6755145d062058062d2ac8c826c8b45e093cc4305bbeebc5e46a2eb00577a6e"},"schema_version":"1.0"},"canonical_sha256":"243ea50707455ae5f033bc4dab3adc8fb8f7c87567efa577e85e700a9c4326c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:47.056542Z","signature_b64":"hMQoXZ9nwKnjNr3BGILno7iNDDHVp8c9RXUkBWXQ0dc0vFx98M/PITQNEIdyZHrX00GM7XBGya8ckqeu7JL1DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"243ea50707455ae5f033bc4dab3adc8fb8f7c87567efa577e85e700a9c4326c7","last_reissued_at":"2026-05-18T02:49:47.056089Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:47.056089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.5879","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":"2026-05-18T02:49:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iK983WXhsmryoG+X2d1eK612gz6evCUVRXrNjmBR9LBLx6dXArv0/ROO1u/1x0ouzdCe/eAME3a3COE0ubU3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T21:55:27.587409Z"},"content_sha256":"a1a324dc65402b649239ade86344f9966027bcf8dfc85b4edd323aa6edcb806c","schema_version":"1.0","event_id":"sha256:a1a324dc65402b649239ade86344f9966027bcf8dfc85b4edd323aa6edcb806c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:EQ7KKBYHIVNOL4BTXRG2WOW4R6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Special polynomials related to the supersymmetric eight-vertex model. II. Schr\\\"odinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"Hjalmar Rosengren","submitted_at":"2013-12-20T10:40:43Z","abstract_excerpt":"We show that symmetric polynomials previously introduced by the author satisfy a certain differential equation. After a change of variables, it can be written as a non-stationary Schr\\\"odinger equation with elliptic potential, which is closely related to the Knizhnik--Zamolodchikov--Bernard equation and to the canonical quantization of the Painlev\\'e VI equation. In a subsequent paper, this will be used to construct a four-dimensional lattice of tau functions for Painlev\\'e VI."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5879","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":"2026-05-18T02:49:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G3Y0xUvSMDf4nx74LhFZEn/6bSa1PLoZB5VU3/N+RKkBO6h84DdywQqBnz5rDe60FdnueKWaYOyzFmvWBncQBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T21:55:27.588097Z"},"content_sha256":"1bdfc753b813e5082d0ce5e3823c43f992061039750adf91a655e9a1359b2c83","schema_version":"1.0","event_id":"sha256:1bdfc753b813e5082d0ce5e3823c43f992061039750adf91a655e9a1359b2c83"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EQ7KKBYHIVNOL4BTXRG2WOW4R6/bundle.json","state_url":"https://pith.science/pith/EQ7KKBYHIVNOL4BTXRG2WOW4R6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EQ7KKBYHIVNOL4BTXRG2WOW4R6/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":"2026-05-23T21:55:27Z","links":{"resolver":"https://pith.science/pith/EQ7KKBYHIVNOL4BTXRG2WOW4R6","bundle":"https://pith.science/pith/EQ7KKBYHIVNOL4BTXRG2WOW4R6/bundle.json","state":"https://pith.science/pith/EQ7KKBYHIVNOL4BTXRG2WOW4R6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EQ7KKBYHIVNOL4BTXRG2WOW4R6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EQ7KKBYHIVNOL4BTXRG2WOW4R6","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":"d6755145d062058062d2ac8c826c8b45e093cc4305bbeebc5e46a2eb00577a6e","cross_cats_sorted":["math.CA","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-12-20T10:40:43Z","title_canon_sha256":"9d208e7a4d4d52b808d7a588666f00984d0f4776656187a67f34bee4c272a529"},"schema_version":"1.0","source":{"id":"1312.5879","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.5879","created_at":"2026-05-18T02:49:47Z"},{"alias_kind":"arxiv_version","alias_value":"1312.5879v2","created_at":"2026-05-18T02:49:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.5879","created_at":"2026-05-18T02:49:47Z"},{"alias_kind":"pith_short_12","alias_value":"EQ7KKBYHIVNO","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EQ7KKBYHIVNOL4BT","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EQ7KKBYH","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:1bdfc753b813e5082d0ce5e3823c43f992061039750adf91a655e9a1359b2c83","target":"graph","created_at":"2026-05-18T02:49:47Z","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 show that symmetric polynomials previously introduced by the author satisfy a certain differential equation. After a change of variables, it can be written as a non-stationary Schr\\\"odinger equation with elliptic potential, which is closely related to the Knizhnik--Zamolodchikov--Bernard equation and to the canonical quantization of the Painlev\\'e VI equation. In a subsequent paper, this will be used to construct a four-dimensional lattice of tau functions for Painlev\\'e VI.","authors_text":"Hjalmar Rosengren","cross_cats":["math.CA","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-12-20T10:40:43Z","title":"Special polynomials related to the supersymmetric eight-vertex model. II. Schr\\\"odinger equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5879","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:a1a324dc65402b649239ade86344f9966027bcf8dfc85b4edd323aa6edcb806c","target":"record","created_at":"2026-05-18T02:49:47Z","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":"d6755145d062058062d2ac8c826c8b45e093cc4305bbeebc5e46a2eb00577a6e","cross_cats_sorted":["math.CA","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-12-20T10:40:43Z","title_canon_sha256":"9d208e7a4d4d52b808d7a588666f00984d0f4776656187a67f34bee4c272a529"},"schema_version":"1.0","source":{"id":"1312.5879","kind":"arxiv","version":2}},"canonical_sha256":"243ea50707455ae5f033bc4dab3adc8fb8f7c87567efa577e85e700a9c4326c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"243ea50707455ae5f033bc4dab3adc8fb8f7c87567efa577e85e700a9c4326c7","first_computed_at":"2026-05-18T02:49:47.056089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:47.056089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hMQoXZ9nwKnjNr3BGILno7iNDDHVp8c9RXUkBWXQ0dc0vFx98M/PITQNEIdyZHrX00GM7XBGya8ckqeu7JL1DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:47.056542Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.5879","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1a324dc65402b649239ade86344f9966027bcf8dfc85b4edd323aa6edcb806c","sha256:1bdfc753b813e5082d0ce5e3823c43f992061039750adf91a655e9a1359b2c83"],"state_sha256":"a7845fe764c9d017243df6059a2b54e3ae86a9aaf16d5444497f81707e64e383"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lsrs2lH6mLTS11WRz/Pt4kDq7vWJLO5rvKYulv65647eXeBQa/9ZrrqOHIcBUlz3NrsVGlPoVljqbxrP7z6CBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T21:55:27.591544Z","bundle_sha256":"5b16940eccedd17d6ab2dc624b03248268e1fc2e3e36bea077835ed4aadbd05f"}}