{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:YKOQ6QMUNAXW242AZYK427V3Z2","short_pith_number":"pith:YKOQ6QMU","canonical_record":{"source":{"id":"1104.3852","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-19T19:50:25Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4c31ca3008baaf4523ff331356bc5ab0f361dd075338b0c862d72527729a23df","abstract_canon_sha256":"0ba526f522377e5d34253a391454b7e66e7b1f7c7911bdd65907db07b5120e2e"},"schema_version":"1.0"},"canonical_sha256":"c29d0f4194682f6d7340ce15cd7ebbceb60e2d84e34cf4292a302e88efbeba5b","source":{"kind":"arxiv","id":"1104.3852","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3852","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3852v2","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3852","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"pith_short_12","alias_value":"YKOQ6QMUNAXW","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YKOQ6QMUNAXW242A","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YKOQ6QMU","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:YKOQ6QMUNAXW242AZYK427V3Z2","target":"record","payload":{"canonical_record":{"source":{"id":"1104.3852","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-19T19:50:25Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4c31ca3008baaf4523ff331356bc5ab0f361dd075338b0c862d72527729a23df","abstract_canon_sha256":"0ba526f522377e5d34253a391454b7e66e7b1f7c7911bdd65907db07b5120e2e"},"schema_version":"1.0"},"canonical_sha256":"c29d0f4194682f6d7340ce15cd7ebbceb60e2d84e34cf4292a302e88efbeba5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:44.484787Z","signature_b64":"FD5QflGpH9JWjeu9Yg0T629pCMgPWJaDVwuljSfXFt0Wlj0LaCi4j4wKS/lbcRo496EhQ1EVvEDJe58PkBr0Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c29d0f4194682f6d7340ce15cd7ebbceb60e2d84e34cf4292a302e88efbeba5b","last_reissued_at":"2026-05-18T04:12:44.484075Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:44.484075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.3852","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":"2026-05-18T04:12:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3wPsO5asnfmfGxX6aFhxbO4JJN9r40+CSrXqj9d7GFaqbRKm2/KmGZKxVJy44PgpezvvxHNL9xHul7exW7mUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:17:57.067624Z"},"content_sha256":"7cc53f7f4b448fce7a1e06d0fca23331a18ea4c6d54a24d3d74872d091b9cf95","schema_version":"1.0","event_id":"sha256:7cc53f7f4b448fce7a1e06d0fca23331a18ea4c6d54a24d3d74872d091b9cf95"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:YKOQ6QMUNAXW242AZYK427V3Z2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Snyder Noncommutativity and Pseudo-Hermitian Hamiltonians from a Jordanian Twist","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"F. Toppan, P.G. Castro, R. Kullock","submitted_at":"2011-04-19T19:50:25Z","abstract_excerpt":"Nonrelativistic quantum mechanics and conformal quantum mechanics are deformed through a Jordanian twist. The deformed space coordinates satisfy the Snyder noncommutativity. The resulting deformed Hamiltonians are pseudo-Hermitian Hamiltonians of the type discussed by Mostafazadeh. The quantization scheme makes use of the so-called \"unfolded formalism\" discussed in previous works. A Hopf algebra structure, compatible with the physical interpretation of the coproduct, is introduced for the Universal Enveloping Algebra of a suitably chosen dynamical Lie algebra (the Hamiltonian is contained amon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3852","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":"2026-05-18T04:12:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wueotHDoMVlR1qHeKnbmWyXbP4RLjb3yjhsJG3ZlTBNu4N5aIvBKlbhEEPPyMiYx4zUzTG2mZKEkHtL7N86fCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:17:57.067965Z"},"content_sha256":"f69fce3cda341e55eea7f387ce8ab9a97003e0bda7a549c5ff9117a10edd8c9b","schema_version":"1.0","event_id":"sha256:f69fce3cda341e55eea7f387ce8ab9a97003e0bda7a549c5ff9117a10edd8c9b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YKOQ6QMUNAXW242AZYK427V3Z2/bundle.json","state_url":"https://pith.science/pith/YKOQ6QMUNAXW242AZYK427V3Z2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YKOQ6QMUNAXW242AZYK427V3Z2/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":"2026-06-01T21:17:57Z","links":{"resolver":"https://pith.science/pith/YKOQ6QMUNAXW242AZYK427V3Z2","bundle":"https://pith.science/pith/YKOQ6QMUNAXW242AZYK427V3Z2/bundle.json","state":"https://pith.science/pith/YKOQ6QMUNAXW242AZYK427V3Z2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YKOQ6QMUNAXW242AZYK427V3Z2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YKOQ6QMUNAXW242AZYK427V3Z2","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":"0ba526f522377e5d34253a391454b7e66e7b1f7c7911bdd65907db07b5120e2e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-19T19:50:25Z","title_canon_sha256":"4c31ca3008baaf4523ff331356bc5ab0f361dd075338b0c862d72527729a23df"},"schema_version":"1.0","source":{"id":"1104.3852","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3852","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3852v2","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3852","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"pith_short_12","alias_value":"YKOQ6QMUNAXW","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YKOQ6QMUNAXW242A","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YKOQ6QMU","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:f69fce3cda341e55eea7f387ce8ab9a97003e0bda7a549c5ff9117a10edd8c9b","target":"graph","created_at":"2026-05-18T04:12:44Z","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":"Nonrelativistic quantum mechanics and conformal quantum mechanics are deformed through a Jordanian twist. The deformed space coordinates satisfy the Snyder noncommutativity. The resulting deformed Hamiltonians are pseudo-Hermitian Hamiltonians of the type discussed by Mostafazadeh. The quantization scheme makes use of the so-called \"unfolded formalism\" discussed in previous works. A Hopf algebra structure, compatible with the physical interpretation of the coproduct, is introduced for the Universal Enveloping Algebra of a suitably chosen dynamical Lie algebra (the Hamiltonian is contained amon","authors_text":"F. Toppan, P.G. Castro, R. Kullock","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-19T19:50:25Z","title":"Snyder Noncommutativity and Pseudo-Hermitian Hamiltonians from a Jordanian Twist"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3852","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":"sha256:7cc53f7f4b448fce7a1e06d0fca23331a18ea4c6d54a24d3d74872d091b9cf95","target":"record","created_at":"2026-05-18T04:12:44Z","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":"0ba526f522377e5d34253a391454b7e66e7b1f7c7911bdd65907db07b5120e2e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-19T19:50:25Z","title_canon_sha256":"4c31ca3008baaf4523ff331356bc5ab0f361dd075338b0c862d72527729a23df"},"schema_version":"1.0","source":{"id":"1104.3852","kind":"arxiv","version":2}},"canonical_sha256":"c29d0f4194682f6d7340ce15cd7ebbceb60e2d84e34cf4292a302e88efbeba5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c29d0f4194682f6d7340ce15cd7ebbceb60e2d84e34cf4292a302e88efbeba5b","first_computed_at":"2026-05-18T04:12:44.484075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:44.484075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FD5QflGpH9JWjeu9Yg0T629pCMgPWJaDVwuljSfXFt0Wlj0LaCi4j4wKS/lbcRo496EhQ1EVvEDJe58PkBr0Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:44.484787Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.3852","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7cc53f7f4b448fce7a1e06d0fca23331a18ea4c6d54a24d3d74872d091b9cf95","sha256:f69fce3cda341e55eea7f387ce8ab9a97003e0bda7a549c5ff9117a10edd8c9b"],"state_sha256":"565e130c472a57ea2c008c0514f6de6d84a6c1f809f4aed4677da17524dce3eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CFmmnfTINxVkuFE2DalIUcdy0UD8Ym0CtE3dYFl0E+nw9GM/zvvap1X8JxmqKIM+xg9BBYToZVtyDNgTvEqQCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:17:57.069956Z","bundle_sha256":"21a91c9c975749bdf6e9d2f139f8396abaa5439924edef4cbd198fce8524c188"}}