{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:MSCNBLLQO2GPPLVKAJ75IH5LAW","short_pith_number":"pith:MSCNBLLQ","canonical_record":{"source":{"id":"quant-ph/0006118","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2000-06-26T16:26:26Z","cross_cats_sorted":["gr-qc","math-ph","math.MP","physics.atom-ph"],"title_canon_sha256":"e85c627ef3f0cc1aa6843d58a7f04895250bcb2aa57159be95a01116137e89c7","abstract_canon_sha256":"790956af19f071f914798e8d8277b18f575c528cafb3c90915ef1687390d764c"},"schema_version":"1.0"},"canonical_sha256":"6484d0ad70768cf7aeaa027fd41fab05adcba3af59dbc4cb84231503118d1f89","source":{"kind":"arxiv","id":"quant-ph/0006118","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0006118","created_at":"2026-05-18T04:17:25Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0006118v3","created_at":"2026-05-18T04:17:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0006118","created_at":"2026-05-18T04:17:25Z"},{"alias_kind":"pith_short_12","alias_value":"MSCNBLLQO2GP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"MSCNBLLQO2GPPLVK","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"MSCNBLLQ","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:MSCNBLLQO2GPPLVKAJ75IH5LAW","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0006118","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2000-06-26T16:26:26Z","cross_cats_sorted":["gr-qc","math-ph","math.MP","physics.atom-ph"],"title_canon_sha256":"e85c627ef3f0cc1aa6843d58a7f04895250bcb2aa57159be95a01116137e89c7","abstract_canon_sha256":"790956af19f071f914798e8d8277b18f575c528cafb3c90915ef1687390d764c"},"schema_version":"1.0"},"canonical_sha256":"6484d0ad70768cf7aeaa027fd41fab05adcba3af59dbc4cb84231503118d1f89","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:25.878013Z","signature_b64":"6nvcgQkz8XKmHTS5A1irNy+b4qKxSOpK0Hy0d2sHdLdbwU/RLT0iVIJHX3c/JJOv9S2PznANRfZUYvXwZ+H6Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6484d0ad70768cf7aeaa027fd41fab05adcba3af59dbc4cb84231503118d1f89","last_reissued_at":"2026-05-18T04:17:25.877504Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:25.877504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0006118","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:17:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gj/Jj1uNfQV21whuFULlTpttwH+nj07ON84HfGTvsjhbP3tjwpbsl1L9LhBmiqMC6N8l0s5owYE1JN+GGTbbAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T01:58:36.668873Z"},"content_sha256":"dae023c17545ef1a3060017940bc0cfcc02aa1c6469d04539edc73db4f2213fc","schema_version":"1.0","event_id":"sha256:dae023c17545ef1a3060017940bc0cfcc02aa1c6469d04539edc73db4f2213fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:MSCNBLLQO2GPPLVKAJ75IH5LAW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relation of the oscillator and Coulomb systems on spheres and pseudospheres","license":"","headline":"","cross_cats":["gr-qc","math-ph","math.MP","physics.atom-ph"],"primary_cat":"quant-ph","authors_text":"Armen Nersessian, George Pogosyan","submitted_at":"2000-06-26T16:26:26Z","abstract_excerpt":"It is shown, that oscillators on the sphere and the pseudosphere are related, by the so-called Bohlin transformation, with the Coulomb systems on the pseudosphere. The even states of an oscillator yield the conventional Coulomb system on the pseudosphere, while the odd states yield the Coulomb system on the pseudosphere in the presence of magnetic flux tube generating spin 1/2. A similar relation is established for the oscillator on the (pseudo)sphere specified by the presence of constant uniform magnetic field $B_0$ and the Coulomb-like system on pseudosphere specified by the presence of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0006118","kind":"arxiv","version":3},"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":"2026-05-18T04:17:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Inw0qP8KJgtEleXwsiuJ8niA5tH+WNwq3wG1z4uiBWNwmD/FloiY+LuD0YFZO2X6EB/HE6kMkF2yg4DA1b7sAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T01:58:36.669221Z"},"content_sha256":"061644c1a45b1fdd8b3a34e835ca7d88acebe19041f4b0acbfc291eaa5eb5bbe","schema_version":"1.0","event_id":"sha256:061644c1a45b1fdd8b3a34e835ca7d88acebe19041f4b0acbfc291eaa5eb5bbe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MSCNBLLQO2GPPLVKAJ75IH5LAW/bundle.json","state_url":"https://pith.science/pith/MSCNBLLQO2GPPLVKAJ75IH5LAW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MSCNBLLQO2GPPLVKAJ75IH5LAW/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":"2026-06-29T01:58:36Z","links":{"resolver":"https://pith.science/pith/MSCNBLLQO2GPPLVKAJ75IH5LAW","bundle":"https://pith.science/pith/MSCNBLLQO2GPPLVKAJ75IH5LAW/bundle.json","state":"https://pith.science/pith/MSCNBLLQO2GPPLVKAJ75IH5LAW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MSCNBLLQO2GPPLVKAJ75IH5LAW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:MSCNBLLQO2GPPLVKAJ75IH5LAW","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":"790956af19f071f914798e8d8277b18f575c528cafb3c90915ef1687390d764c","cross_cats_sorted":["gr-qc","math-ph","math.MP","physics.atom-ph"],"license":"","primary_cat":"quant-ph","submitted_at":"2000-06-26T16:26:26Z","title_canon_sha256":"e85c627ef3f0cc1aa6843d58a7f04895250bcb2aa57159be95a01116137e89c7"},"schema_version":"1.0","source":{"id":"quant-ph/0006118","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0006118","created_at":"2026-05-18T04:17:25Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0006118v3","created_at":"2026-05-18T04:17:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0006118","created_at":"2026-05-18T04:17:25Z"},{"alias_kind":"pith_short_12","alias_value":"MSCNBLLQO2GP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"MSCNBLLQO2GPPLVK","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"MSCNBLLQ","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:061644c1a45b1fdd8b3a34e835ca7d88acebe19041f4b0acbfc291eaa5eb5bbe","target":"graph","created_at":"2026-05-18T04:17:25Z","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":"It is shown, that oscillators on the sphere and the pseudosphere are related, by the so-called Bohlin transformation, with the Coulomb systems on the pseudosphere. The even states of an oscillator yield the conventional Coulomb system on the pseudosphere, while the odd states yield the Coulomb system on the pseudosphere in the presence of magnetic flux tube generating spin 1/2. A similar relation is established for the oscillator on the (pseudo)sphere specified by the presence of constant uniform magnetic field $B_0$ and the Coulomb-like system on pseudosphere specified by the presence of the ","authors_text":"Armen Nersessian, George Pogosyan","cross_cats":["gr-qc","math-ph","math.MP","physics.atom-ph"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2000-06-26T16:26:26Z","title":"Relation of the oscillator and Coulomb systems on spheres and pseudospheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0006118","kind":"arxiv","version":3},"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:dae023c17545ef1a3060017940bc0cfcc02aa1c6469d04539edc73db4f2213fc","target":"record","created_at":"2026-05-18T04:17:25Z","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":"790956af19f071f914798e8d8277b18f575c528cafb3c90915ef1687390d764c","cross_cats_sorted":["gr-qc","math-ph","math.MP","physics.atom-ph"],"license":"","primary_cat":"quant-ph","submitted_at":"2000-06-26T16:26:26Z","title_canon_sha256":"e85c627ef3f0cc1aa6843d58a7f04895250bcb2aa57159be95a01116137e89c7"},"schema_version":"1.0","source":{"id":"quant-ph/0006118","kind":"arxiv","version":3}},"canonical_sha256":"6484d0ad70768cf7aeaa027fd41fab05adcba3af59dbc4cb84231503118d1f89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6484d0ad70768cf7aeaa027fd41fab05adcba3af59dbc4cb84231503118d1f89","first_computed_at":"2026-05-18T04:17:25.877504Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:25.877504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6nvcgQkz8XKmHTS5A1irNy+b4qKxSOpK0Hy0d2sHdLdbwU/RLT0iVIJHX3c/JJOv9S2PznANRfZUYvXwZ+H6Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:25.878013Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0006118","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dae023c17545ef1a3060017940bc0cfcc02aa1c6469d04539edc73db4f2213fc","sha256:061644c1a45b1fdd8b3a34e835ca7d88acebe19041f4b0acbfc291eaa5eb5bbe"],"state_sha256":"1604d6680d41366904dabcc910149e580780cd302c4440708a21e003b5923c78"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P4/Zuyc3dmo/xlTyqxtcYjfREoASwvlXRwjd2him9T4uZO8/H2Th3egWdunF/TJZCuPT4OmCJGjqhfB1A6kRAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T01:58:36.671150Z","bundle_sha256":"c25b7b03ba8e5d1c71bfdcba70bdebef3adecf50a06baeb47b5d903feb096a23"}}