{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:5ZXS764PMTRZI2JDNQLQ5O23CK","short_pith_number":"pith:5ZXS764P","canonical_record":{"source":{"id":"1112.2586","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-12T15:23:13Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"767770a647e11ae31b93702b3cfb9a6a677793d08a61e7853e1779ab4c8ce2d6","abstract_canon_sha256":"9412c69c70ebca734c5ce6af29dafa01ba305beb71bb8531e4c78e58474a3adb"},"schema_version":"1.0"},"canonical_sha256":"ee6f2ffb8f64e39469236c170ebb5b12b3c4e4686e0668dcdcbacc4edd56f059","source":{"kind":"arxiv","id":"1112.2586","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2586","created_at":"2026-05-18T04:05:26Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2586v2","created_at":"2026-05-18T04:05:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2586","created_at":"2026-05-18T04:05:26Z"},{"alias_kind":"pith_short_12","alias_value":"5ZXS764PMTRZ","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"5ZXS764PMTRZI2JD","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"5ZXS764P","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:5ZXS764PMTRZI2JDNQLQ5O23CK","target":"record","payload":{"canonical_record":{"source":{"id":"1112.2586","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-12T15:23:13Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"767770a647e11ae31b93702b3cfb9a6a677793d08a61e7853e1779ab4c8ce2d6","abstract_canon_sha256":"9412c69c70ebca734c5ce6af29dafa01ba305beb71bb8531e4c78e58474a3adb"},"schema_version":"1.0"},"canonical_sha256":"ee6f2ffb8f64e39469236c170ebb5b12b3c4e4686e0668dcdcbacc4edd56f059","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:26.671690Z","signature_b64":"VVi6y0R9yvbvac6RqOetbBBJRAY79jP5/8K4iGLWQSOIDocYUbt6aN5M4gGeRbUHPKXNw6LeT5pjABJl4vUiAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee6f2ffb8f64e39469236c170ebb5b12b3c4e4686e0668dcdcbacc4edd56f059","last_reissued_at":"2026-05-18T04:05:26.670958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:26.670958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.2586","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":"2026-05-18T04:05:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LnLSDd2pudjVZRvQJ9PvW/iAMP/dihIwxcRJ3Vm1eeTQXX/F2U+7qMKuk4uXhbSeFk75tiLR+BUk8v6JME2+Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T09:51:46.229354Z"},"content_sha256":"c26940b8ec7441ac1a235f8084f90dd421417642ca0e1e0b05919c9c43844d6a","schema_version":"1.0","event_id":"sha256:c26940b8ec7441ac1a235f8084f90dd421417642ca0e1e0b05919c9c43844d6a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:5ZXS764PMTRZI2JDNQLQ5O23CK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On a Hidden Symmetry of Quantum Harmonic Oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Jose M. Vega-Guzman, Raquel M. Lopez, Sergei K. Suslov","submitted_at":"2011-12-12T15:23:13Z","abstract_excerpt":"We consider a six-parameter family of the square integrable wave functions for the simple harmonic oscillator, which cannot be obtained by the standard separation of variables. They are given by the action of the corresponding maximal kinematical invariance group on the standard solutions. In addition, the phase space oscillations of the electron position and linear momentum probability distributions are computer animated and some possible applications are briefly discussed. A visualization of the Heisenberg Uncertainty Principle is presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2586","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":"2026-05-18T04:05:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tyNgp4goTEe1QTeOQJ/pVXBWIkapI7jXIueibI2H3NHHbn1lavTq9Qma1DeDMLe64wYChNg8Ag7A9ygaYV6JAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T09:51:46.230063Z"},"content_sha256":"a93e64483386b0078a4ef72661dccb3bfbbc6c0727a95e2ea85b08ab6c66a667","schema_version":"1.0","event_id":"sha256:a93e64483386b0078a4ef72661dccb3bfbbc6c0727a95e2ea85b08ab6c66a667"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5ZXS764PMTRZI2JDNQLQ5O23CK/bundle.json","state_url":"https://pith.science/pith/5ZXS764PMTRZI2JDNQLQ5O23CK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5ZXS764PMTRZI2JDNQLQ5O23CK/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":"2026-05-22T09:51:46Z","links":{"resolver":"https://pith.science/pith/5ZXS764PMTRZI2JDNQLQ5O23CK","bundle":"https://pith.science/pith/5ZXS764PMTRZI2JDNQLQ5O23CK/bundle.json","state":"https://pith.science/pith/5ZXS764PMTRZI2JDNQLQ5O23CK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5ZXS764PMTRZI2JDNQLQ5O23CK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5ZXS764PMTRZI2JDNQLQ5O23CK","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":"9412c69c70ebca734c5ce6af29dafa01ba305beb71bb8531e4c78e58474a3adb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-12T15:23:13Z","title_canon_sha256":"767770a647e11ae31b93702b3cfb9a6a677793d08a61e7853e1779ab4c8ce2d6"},"schema_version":"1.0","source":{"id":"1112.2586","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2586","created_at":"2026-05-18T04:05:26Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2586v2","created_at":"2026-05-18T04:05:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2586","created_at":"2026-05-18T04:05:26Z"},{"alias_kind":"pith_short_12","alias_value":"5ZXS764PMTRZ","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"5ZXS764PMTRZI2JD","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"5ZXS764P","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:a93e64483386b0078a4ef72661dccb3bfbbc6c0727a95e2ea85b08ab6c66a667","target":"graph","created_at":"2026-05-18T04:05:26Z","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 consider a six-parameter family of the square integrable wave functions for the simple harmonic oscillator, which cannot be obtained by the standard separation of variables. They are given by the action of the corresponding maximal kinematical invariance group on the standard solutions. In addition, the phase space oscillations of the electron position and linear momentum probability distributions are computer animated and some possible applications are briefly discussed. A visualization of the Heisenberg Uncertainty Principle is presented.","authors_text":"Jose M. Vega-Guzman, Raquel M. Lopez, Sergei K. Suslov","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-12T15:23:13Z","title":"On a Hidden Symmetry of Quantum Harmonic Oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2586","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:c26940b8ec7441ac1a235f8084f90dd421417642ca0e1e0b05919c9c43844d6a","target":"record","created_at":"2026-05-18T04:05:26Z","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":"9412c69c70ebca734c5ce6af29dafa01ba305beb71bb8531e4c78e58474a3adb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-12T15:23:13Z","title_canon_sha256":"767770a647e11ae31b93702b3cfb9a6a677793d08a61e7853e1779ab4c8ce2d6"},"schema_version":"1.0","source":{"id":"1112.2586","kind":"arxiv","version":2}},"canonical_sha256":"ee6f2ffb8f64e39469236c170ebb5b12b3c4e4686e0668dcdcbacc4edd56f059","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee6f2ffb8f64e39469236c170ebb5b12b3c4e4686e0668dcdcbacc4edd56f059","first_computed_at":"2026-05-18T04:05:26.670958Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:26.670958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VVi6y0R9yvbvac6RqOetbBBJRAY79jP5/8K4iGLWQSOIDocYUbt6aN5M4gGeRbUHPKXNw6LeT5pjABJl4vUiAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:26.671690Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.2586","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c26940b8ec7441ac1a235f8084f90dd421417642ca0e1e0b05919c9c43844d6a","sha256:a93e64483386b0078a4ef72661dccb3bfbbc6c0727a95e2ea85b08ab6c66a667"],"state_sha256":"3ab6ecc4f11c318c237ab04048d7f324c2c8e89e57c5563ce433ee7984b6e378"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"56R+ompjKBn6izD0yBDtHWURdKVWVqISUS+cmAm1U4F4EXNLMZ54LckgXcRBYwXZ1Y7pgNtVIHsID2uARAmyCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T09:51:46.232990Z","bundle_sha256":"aec7a0aa6f0efafbfe251818281cc647ef820188ed828ff951ff3d450e524176"}}