{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YPWYM3JO6FE4LBNMHD3T2JEB2W","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":"645b7fe4d29eef9402ccd6af6030d28d2d39b671beec841e1fbbe64a3fa8c9ab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-20T12:11:26Z","title_canon_sha256":"e4e68a0dc53cf09d6ceb6b6558a2689e85ccf93ac7c6ecea6cd0f076d1ac0950"},"schema_version":"1.0","source":{"id":"1502.05849","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05849","created_at":"2026-05-18T02:26:44Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05849v1","created_at":"2026-05-18T02:26:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05849","created_at":"2026-05-18T02:26:44Z"},{"alias_kind":"pith_short_12","alias_value":"YPWYM3JO6FE4","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YPWYM3JO6FE4LBNM","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YPWYM3JO","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:6d6b7dc2d9194ce414d9df5ca6d6445ee496665074d86356362f60ba7318ab88","target":"graph","created_at":"2026-05-18T02:26:44Z","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":"We note that presenting Hydrogen atom Schrodinger equation in the case of arbitrary dimensions require simultaneous modification of the Coulomb potential that only in three dimensions has the form Z/r . This was not done in a number of relatively recent papers [1-5]. Therefore some results obtained there seem to be doubtful. Some required considerations in the area are mentioned.","authors_text":"A. F. Ioffe Physical-Technical Institute, M. Ya. Amusia (The Racah Institute of Physics, St. Petersburg), The Hebrew University of Jerusalem","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-20T12:11:26Z","title":"Comment on the shape of Hydrogen equation in spaces of arbitrary dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05849","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:e228eca7670a640ab953ea01bbde648fc51543ac1074a0dc470fd1c3ee502f92","target":"record","created_at":"2026-05-18T02:26:44Z","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":"645b7fe4d29eef9402ccd6af6030d28d2d39b671beec841e1fbbe64a3fa8c9ab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-20T12:11:26Z","title_canon_sha256":"e4e68a0dc53cf09d6ceb6b6558a2689e85ccf93ac7c6ecea6cd0f076d1ac0950"},"schema_version":"1.0","source":{"id":"1502.05849","kind":"arxiv","version":1}},"canonical_sha256":"c3ed866d2ef149c585ac38f73d2481d596acca276318eaa843aecfbd38fd0044","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3ed866d2ef149c585ac38f73d2481d596acca276318eaa843aecfbd38fd0044","first_computed_at":"2026-05-18T02:26:44.615904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:44.615904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PSavahX63eXn+t7TrLV9vHT2Ae1J/nRpOi0D7bOUN3HWPDWsriqCXyBI6bazGQKQusmD2n36l8UQ/1L0WlpYBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:44.616339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05849","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e228eca7670a640ab953ea01bbde648fc51543ac1074a0dc470fd1c3ee502f92","sha256:6d6b7dc2d9194ce414d9df5ca6d6445ee496665074d86356362f60ba7318ab88"],"state_sha256":"78e69aeb2995831693c960fab941973ed41b263760df1d9f4cdc0d08c22068cf"}