{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:FTOQYZZOUEIBR7KVXRNOD3FQCF","short_pith_number":"pith:FTOQYZZO","canonical_record":{"source":{"id":"2309.06403","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-09-12T17:09:56Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"37c96956f6406ec42a596bcc023bca3c671e19630a07812b4d14b44ec7b5daa9","abstract_canon_sha256":"b84b094995a710e50a0892237d4d2dd0106b94ebeb5e1687e30c6effb2b5cb46"},"schema_version":"1.0"},"canonical_sha256":"2cdd0c672ea11018fd55bc5ae1ecb011706e47fc672bc1d5daec33fdc7ebc40c","source":{"kind":"arxiv","id":"2309.06403","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.06403","created_at":"2026-07-05T07:33:54Z"},{"alias_kind":"arxiv_version","alias_value":"2309.06403v2","created_at":"2026-07-05T07:33:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.06403","created_at":"2026-07-05T07:33:54Z"},{"alias_kind":"pith_short_12","alias_value":"FTOQYZZOUEIB","created_at":"2026-07-05T07:33:54Z"},{"alias_kind":"pith_short_16","alias_value":"FTOQYZZOUEIBR7KV","created_at":"2026-07-05T07:33:54Z"},{"alias_kind":"pith_short_8","alias_value":"FTOQYZZO","created_at":"2026-07-05T07:33:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:FTOQYZZOUEIBR7KVXRNOD3FQCF","target":"record","payload":{"canonical_record":{"source":{"id":"2309.06403","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-09-12T17:09:56Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"37c96956f6406ec42a596bcc023bca3c671e19630a07812b4d14b44ec7b5daa9","abstract_canon_sha256":"b84b094995a710e50a0892237d4d2dd0106b94ebeb5e1687e30c6effb2b5cb46"},"schema_version":"1.0"},"canonical_sha256":"2cdd0c672ea11018fd55bc5ae1ecb011706e47fc672bc1d5daec33fdc7ebc40c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:33:54.494924Z","signature_b64":"OW8/20FaXLBmo9YAFSuAJjuw/pNgT8KMNsMfa0KhB0jB+B/JP8LC+Ozo9dijASk1BgaKIchUpRSZCn0tEXOxBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2cdd0c672ea11018fd55bc5ae1ecb011706e47fc672bc1d5daec33fdc7ebc40c","last_reissued_at":"2026-07-05T07:33:54.494509Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:33:54.494509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2309.06403","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":"2026-07-05T07:33:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y0skAXwaVTI7MPi7K7xelUfldd7il2eV//n9qLEg/Fz42iNQAnQCjbzdQhOKzdkmRFR80kjd0tUJ8WjKYId1CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T20:48:12.043636Z"},"content_sha256":"4245a64acbe92edb2e686ce2c3106c0b96eae550c88d5f1c9287c7693af8bccd","schema_version":"1.0","event_id":"sha256:4245a64acbe92edb2e686ce2c3106c0b96eae550c88d5f1c9287c7693af8bccd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:FTOQYZZOUEIBR7KVXRNOD3FQCF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the status of DELL systems","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","submitted_at":"2023-09-12T17:09:56Z","abstract_excerpt":"A detailed review of the $p,q$-duality for Calogero system and its generalizations is given. For the first time, we present some of elliptic-trigonometric Hamiltonians dual to the elliptic Ruijsenaars Hamiltonians (i.e. trigonometric-elliptic ones), and explain their relations to the bi-elliptic Koroteev-Shakirov (KS) model. The most interesting self-dual double-elliptic (DELL) system remains a mystery, but we provide a clearer formulation of the problem and describe the steps that are still to be done."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.06403","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2309.06403/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":"2026-07-05T07:33:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XDknkVkYWIq59mwwhDeRoX5VWiu+Uu4oE5HTA8GL+ONlHX1CT9F/0jLEhwRSe4vBMQMkB8wHZdfP2hRhAlyXCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T20:48:12.044007Z"},"content_sha256":"6619419e13ad5b94a1d29e83b84902e10fcaf1a2d0a784c2f41166c788102cfc","schema_version":"1.0","event_id":"sha256:6619419e13ad5b94a1d29e83b84902e10fcaf1a2d0a784c2f41166c788102cfc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FTOQYZZOUEIBR7KVXRNOD3FQCF/bundle.json","state_url":"https://pith.science/pith/FTOQYZZOUEIBR7KVXRNOD3FQCF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FTOQYZZOUEIBR7KVXRNOD3FQCF/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":"2026-08-05T20:48:12Z","links":{"resolver":"https://pith.science/pith/FTOQYZZOUEIBR7KVXRNOD3FQCF","bundle":"https://pith.science/pith/FTOQYZZOUEIBR7KVXRNOD3FQCF/bundle.json","state":"https://pith.science/pith/FTOQYZZOUEIBR7KVXRNOD3FQCF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FTOQYZZOUEIBR7KVXRNOD3FQCF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:FTOQYZZOUEIBR7KVXRNOD3FQCF","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":"b84b094995a710e50a0892237d4d2dd0106b94ebeb5e1687e30c6effb2b5cb46","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-09-12T17:09:56Z","title_canon_sha256":"37c96956f6406ec42a596bcc023bca3c671e19630a07812b4d14b44ec7b5daa9"},"schema_version":"1.0","source":{"id":"2309.06403","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.06403","created_at":"2026-07-05T07:33:54Z"},{"alias_kind":"arxiv_version","alias_value":"2309.06403v2","created_at":"2026-07-05T07:33:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.06403","created_at":"2026-07-05T07:33:54Z"},{"alias_kind":"pith_short_12","alias_value":"FTOQYZZOUEIB","created_at":"2026-07-05T07:33:54Z"},{"alias_kind":"pith_short_16","alias_value":"FTOQYZZOUEIBR7KV","created_at":"2026-07-05T07:33:54Z"},{"alias_kind":"pith_short_8","alias_value":"FTOQYZZO","created_at":"2026-07-05T07:33:54Z"}],"graph_snapshots":[{"event_id":"sha256:6619419e13ad5b94a1d29e83b84902e10fcaf1a2d0a784c2f41166c788102cfc","target":"graph","created_at":"2026-07-05T07:33:54Z","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/2309.06403/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A detailed review of the $p,q$-duality for Calogero system and its generalizations is given. For the first time, we present some of elliptic-trigonometric Hamiltonians dual to the elliptic Ruijsenaars Hamiltonians (i.e. trigonometric-elliptic ones), and explain their relations to the bi-elliptic Koroteev-Shakirov (KS) model. The most interesting self-dual double-elliptic (DELL) system remains a mystery, but we provide a clearer formulation of the problem and describe the steps that are still to be done.","authors_text":"A. Mironov, A. Morozov","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-09-12T17:09:56Z","title":"On the status of DELL systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.06403","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":"sha256:4245a64acbe92edb2e686ce2c3106c0b96eae550c88d5f1c9287c7693af8bccd","target":"record","created_at":"2026-07-05T07:33:54Z","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":"b84b094995a710e50a0892237d4d2dd0106b94ebeb5e1687e30c6effb2b5cb46","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-09-12T17:09:56Z","title_canon_sha256":"37c96956f6406ec42a596bcc023bca3c671e19630a07812b4d14b44ec7b5daa9"},"schema_version":"1.0","source":{"id":"2309.06403","kind":"arxiv","version":2}},"canonical_sha256":"2cdd0c672ea11018fd55bc5ae1ecb011706e47fc672bc1d5daec33fdc7ebc40c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2cdd0c672ea11018fd55bc5ae1ecb011706e47fc672bc1d5daec33fdc7ebc40c","first_computed_at":"2026-07-05T07:33:54.494509Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:33:54.494509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OW8/20FaXLBmo9YAFSuAJjuw/pNgT8KMNsMfa0KhB0jB+B/JP8LC+Ozo9dijASk1BgaKIchUpRSZCn0tEXOxBg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:33:54.494924Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.06403","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4245a64acbe92edb2e686ce2c3106c0b96eae550c88d5f1c9287c7693af8bccd","sha256:6619419e13ad5b94a1d29e83b84902e10fcaf1a2d0a784c2f41166c788102cfc"],"state_sha256":"1ee9d8cb4baae1d5a44f765203a0424a8cd8d6540c2c0e3a3d4f84a5fe7194cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IZzhtuS1CMbw4+PIOzfKKtYaeNsoOzMUUk36sYLUOCfFNIWPz7RbB/Rs4rXcsMkx1FHX4UOaAmkFyYOiJHNODQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T20:48:12.046448Z","bundle_sha256":"5c431f09941a851ff1291a9201884c71d9b65da17e2f5f0946cd526fc961bc5f"}}