{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:T7HR4OLKHZNXBMO7RM2UUNHVGP","short_pith_number":"pith:T7HR4OLK","canonical_record":{"source":{"id":"1109.6770","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-09-30T09:38:57Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"849ccac7a85f5ed728ec25b4aa35a3011fa6b6e12a0098a7139debeac6c8070a","abstract_canon_sha256":"efef1d9853a69d73995ff4e4bbefb500c080ea47b6adc9c20f85a3afdc3d978f"},"schema_version":"1.0"},"canonical_sha256":"9fcf1e396a3e5b70b1df8b354a34f533d6e4e204a93038f14376683ee6d40010","source":{"kind":"arxiv","id":"1109.6770","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6770","created_at":"2026-05-18T02:44:23Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6770v1","created_at":"2026-05-18T02:44:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6770","created_at":"2026-05-18T02:44:23Z"},{"alias_kind":"pith_short_12","alias_value":"T7HR4OLKHZNX","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"T7HR4OLKHZNXBMO7","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"T7HR4OLK","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:T7HR4OLKHZNXBMO7RM2UUNHVGP","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6770","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-09-30T09:38:57Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"849ccac7a85f5ed728ec25b4aa35a3011fa6b6e12a0098a7139debeac6c8070a","abstract_canon_sha256":"efef1d9853a69d73995ff4e4bbefb500c080ea47b6adc9c20f85a3afdc3d978f"},"schema_version":"1.0"},"canonical_sha256":"9fcf1e396a3e5b70b1df8b354a34f533d6e4e204a93038f14376683ee6d40010","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:23.768543Z","signature_b64":"jGmUMFoAz6JCDtkeu/t42PWrdXkygAjpBcvsoUmAB9Jwfo/LKCiP++pU9XxIJAZDjR8CsQ7ZOG4hAxkHqLhiDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9fcf1e396a3e5b70b1df8b354a34f533d6e4e204a93038f14376683ee6d40010","last_reissued_at":"2026-05-18T02:44:23.768127Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:23.768127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6770","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":"2026-05-18T02:44:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q2ObB9Pl5+1Rmtk1oDNVjZsJI2zEWLKsfa718IX/iKcNJOQT7mCxOiUFs7DC3m1Vv4u8TrT1URfGdoV5cjgFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:09:16.920569Z"},"content_sha256":"96983c8836ce102584509ab57a0b830e4d237c055739c33c6da6cf0bc5d95ed2","schema_version":"1.0","event_id":"sha256:96983c8836ce102584509ab57a0b830e4d237c055739c33c6da6cf0bc5d95ed2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:T7HR4OLKHZNXBMO7RM2UUNHVGP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum tops as examples of commuting differential operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"A.B. Shabat, V.E. Adler, V.G. Marikhin","submitted_at":"2011-09-30T09:38:57Z","abstract_excerpt":"We study the quantum analogs of tops on Lie algebras $so(4)$ and $e(3)$ represented by differential operators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6770","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":""},"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":"2026-05-18T02:44:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZxVUFMGskwvOLNZFFDAYxNxBVJmshZReFHxrAdoKySQ7sC9sYs8zmMZGXnyoHFYAiPwSSCVYTHZdkYvrG6P9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:09:16.920952Z"},"content_sha256":"aea4967aacd1e2a468b801eeaf3e166223cae8538045eedfa0dd89a5cba191b1","schema_version":"1.0","event_id":"sha256:aea4967aacd1e2a468b801eeaf3e166223cae8538045eedfa0dd89a5cba191b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T7HR4OLKHZNXBMO7RM2UUNHVGP/bundle.json","state_url":"https://pith.science/pith/T7HR4OLKHZNXBMO7RM2UUNHVGP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T7HR4OLKHZNXBMO7RM2UUNHVGP/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":"2026-06-29T09:09:16Z","links":{"resolver":"https://pith.science/pith/T7HR4OLKHZNXBMO7RM2UUNHVGP","bundle":"https://pith.science/pith/T7HR4OLKHZNXBMO7RM2UUNHVGP/bundle.json","state":"https://pith.science/pith/T7HR4OLKHZNXBMO7RM2UUNHVGP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T7HR4OLKHZNXBMO7RM2UUNHVGP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:T7HR4OLKHZNXBMO7RM2UUNHVGP","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":"efef1d9853a69d73995ff4e4bbefb500c080ea47b6adc9c20f85a3afdc3d978f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-09-30T09:38:57Z","title_canon_sha256":"849ccac7a85f5ed728ec25b4aa35a3011fa6b6e12a0098a7139debeac6c8070a"},"schema_version":"1.0","source":{"id":"1109.6770","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6770","created_at":"2026-05-18T02:44:23Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6770v1","created_at":"2026-05-18T02:44:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6770","created_at":"2026-05-18T02:44:23Z"},{"alias_kind":"pith_short_12","alias_value":"T7HR4OLKHZNX","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"T7HR4OLKHZNXBMO7","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"T7HR4OLK","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:aea4967aacd1e2a468b801eeaf3e166223cae8538045eedfa0dd89a5cba191b1","target":"graph","created_at":"2026-05-18T02:44:23Z","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 study the quantum analogs of tops on Lie algebras $so(4)$ and $e(3)$ represented by differential operators.","authors_text":"A.B. Shabat, V.E. Adler, V.G. Marikhin","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-09-30T09:38:57Z","title":"Quantum tops as examples of commuting differential operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6770","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":"sha256:96983c8836ce102584509ab57a0b830e4d237c055739c33c6da6cf0bc5d95ed2","target":"record","created_at":"2026-05-18T02:44:23Z","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":"efef1d9853a69d73995ff4e4bbefb500c080ea47b6adc9c20f85a3afdc3d978f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-09-30T09:38:57Z","title_canon_sha256":"849ccac7a85f5ed728ec25b4aa35a3011fa6b6e12a0098a7139debeac6c8070a"},"schema_version":"1.0","source":{"id":"1109.6770","kind":"arxiv","version":1}},"canonical_sha256":"9fcf1e396a3e5b70b1df8b354a34f533d6e4e204a93038f14376683ee6d40010","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9fcf1e396a3e5b70b1df8b354a34f533d6e4e204a93038f14376683ee6d40010","first_computed_at":"2026-05-18T02:44:23.768127Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:23.768127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jGmUMFoAz6JCDtkeu/t42PWrdXkygAjpBcvsoUmAB9Jwfo/LKCiP++pU9XxIJAZDjR8CsQ7ZOG4hAxkHqLhiDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:23.768543Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6770","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96983c8836ce102584509ab57a0b830e4d237c055739c33c6da6cf0bc5d95ed2","sha256:aea4967aacd1e2a468b801eeaf3e166223cae8538045eedfa0dd89a5cba191b1"],"state_sha256":"936ee98c23de1813f28d63a8b9423e89b2c85461143962dc0ce9b8bb45dba6d9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cPBUaWSIPuXKcjDsoTvv7/qHu1yudHNMcgkUnLcsbmhUi8x3i6+wfDMcY67+uMLd0A7Q1aOKOzEfFVWeR819AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T09:09:16.922964Z","bundle_sha256":"41c8c0d2e44334592855b635f99ac0379813d32fac2b147e0f2ee65fad807319"}}