{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:YASCFT4PTQ62QMNNORWOIFO4PM","short_pith_number":"pith:YASCFT4P","canonical_record":{"source":{"id":"1205.5462","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-24T14:21:31Z","cross_cats_sorted":["cond-mat.other","math.MP","quant-ph"],"title_canon_sha256":"ddc0d2a46d7ac4a768aed392c58119def2f3ab016e2ed6bcad41255c4ad1a87c","abstract_canon_sha256":"5297194d307b0f7f8cc3e57ecc00afa31303099573d5f38279715c75934d674e"},"schema_version":"1.0"},"canonical_sha256":"c02422cf8f9c3da831ad746ce415dc7b1abf66aea0adb0506c5c7c6630ede8fb","source":{"kind":"arxiv","id":"1205.5462","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5462","created_at":"2026-05-18T03:55:01Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5462v1","created_at":"2026-05-18T03:55:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5462","created_at":"2026-05-18T03:55:01Z"},{"alias_kind":"pith_short_12","alias_value":"YASCFT4PTQ62","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YASCFT4PTQ62QMNN","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YASCFT4P","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:YASCFT4PTQ62QMNNORWOIFO4PM","target":"record","payload":{"canonical_record":{"source":{"id":"1205.5462","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-24T14:21:31Z","cross_cats_sorted":["cond-mat.other","math.MP","quant-ph"],"title_canon_sha256":"ddc0d2a46d7ac4a768aed392c58119def2f3ab016e2ed6bcad41255c4ad1a87c","abstract_canon_sha256":"5297194d307b0f7f8cc3e57ecc00afa31303099573d5f38279715c75934d674e"},"schema_version":"1.0"},"canonical_sha256":"c02422cf8f9c3da831ad746ce415dc7b1abf66aea0adb0506c5c7c6630ede8fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:01.006307Z","signature_b64":"0My4VnzsdgH4pV4ZDZgigVCmu0BzvcSWvApm0IJRt+joyKPKgu2YSVmYKb58eEe1WryY5Xupe8X5hBuADRhcCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c02422cf8f9c3da831ad746ce415dc7b1abf66aea0adb0506c5c7c6630ede8fb","last_reissued_at":"2026-05-18T03:55:01.005573Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:01.005573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.5462","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":"2026-05-18T03:55:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TSxApwk3FrTEl0e39ikUMYgrFeNpGvsxtgNd/Gl5eWv+IrbG0ydkIxafBn5FsVnYVG2MztbL5vNE5gyfaVg1Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T20:02:41.432854Z"},"content_sha256":"b60457431b99b8c492c6a7dac7bd44ac077819f8877e586ba8f7e72e885b77d1","schema_version":"1.0","event_id":"sha256:b60457431b99b8c492c6a7dac7bd44ac077819f8877e586ba8f7e72e885b77d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:YASCFT4PTQ62QMNNORWOIFO4PM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hydrogen supersymmetry: A new method in perturbation theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"E. A. Muljarov","submitted_at":"2012-05-24T14:21:31Z","abstract_excerpt":"The O(4) supersymmetry of the hydrogen atom is utilized to construct a complete basis using only the bound state wave functions. For a large class of perturbations, an expansion of the electron (exciton) wave function into such a complete set reduces the perturbed Schroedinger equation to a standard eigenvalue problem with an equidistant unperturbed spectrum. A high-order polarizability of the ground state of the hydrogen atom in a static electric field is calculated via Rayleigh-Schroedinger perturbation theory for illustration of the new method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5462","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":"2026-05-18T03:55:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pWhRxbseVKBT6y6nBI1/wnEKIIMeDQSUacYGDWcX0YRkU6I3AKp2+cP+XTRLxRQ3ET6ts/wSdXqru2OVSd6FBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T20:02:41.433464Z"},"content_sha256":"61b4079a1b6910a8416d555302c43a6615bf8d3711dff8574b9822a4ad344acf","schema_version":"1.0","event_id":"sha256:61b4079a1b6910a8416d555302c43a6615bf8d3711dff8574b9822a4ad344acf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YASCFT4PTQ62QMNNORWOIFO4PM/bundle.json","state_url":"https://pith.science/pith/YASCFT4PTQ62QMNNORWOIFO4PM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YASCFT4PTQ62QMNNORWOIFO4PM/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":"2026-06-07T20:02:41Z","links":{"resolver":"https://pith.science/pith/YASCFT4PTQ62QMNNORWOIFO4PM","bundle":"https://pith.science/pith/YASCFT4PTQ62QMNNORWOIFO4PM/bundle.json","state":"https://pith.science/pith/YASCFT4PTQ62QMNNORWOIFO4PM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YASCFT4PTQ62QMNNORWOIFO4PM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YASCFT4PTQ62QMNNORWOIFO4PM","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":"5297194d307b0f7f8cc3e57ecc00afa31303099573d5f38279715c75934d674e","cross_cats_sorted":["cond-mat.other","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-24T14:21:31Z","title_canon_sha256":"ddc0d2a46d7ac4a768aed392c58119def2f3ab016e2ed6bcad41255c4ad1a87c"},"schema_version":"1.0","source":{"id":"1205.5462","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5462","created_at":"2026-05-18T03:55:01Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5462v1","created_at":"2026-05-18T03:55:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5462","created_at":"2026-05-18T03:55:01Z"},{"alias_kind":"pith_short_12","alias_value":"YASCFT4PTQ62","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YASCFT4PTQ62QMNN","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YASCFT4P","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:61b4079a1b6910a8416d555302c43a6615bf8d3711dff8574b9822a4ad344acf","target":"graph","created_at":"2026-05-18T03:55:01Z","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":"The O(4) supersymmetry of the hydrogen atom is utilized to construct a complete basis using only the bound state wave functions. For a large class of perturbations, an expansion of the electron (exciton) wave function into such a complete set reduces the perturbed Schroedinger equation to a standard eigenvalue problem with an equidistant unperturbed spectrum. A high-order polarizability of the ground state of the hydrogen atom in a static electric field is calculated via Rayleigh-Schroedinger perturbation theory for illustration of the new method.","authors_text":"E. A. Muljarov","cross_cats":["cond-mat.other","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-24T14:21:31Z","title":"Hydrogen supersymmetry: A new method in perturbation theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5462","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:b60457431b99b8c492c6a7dac7bd44ac077819f8877e586ba8f7e72e885b77d1","target":"record","created_at":"2026-05-18T03:55:01Z","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":"5297194d307b0f7f8cc3e57ecc00afa31303099573d5f38279715c75934d674e","cross_cats_sorted":["cond-mat.other","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-24T14:21:31Z","title_canon_sha256":"ddc0d2a46d7ac4a768aed392c58119def2f3ab016e2ed6bcad41255c4ad1a87c"},"schema_version":"1.0","source":{"id":"1205.5462","kind":"arxiv","version":1}},"canonical_sha256":"c02422cf8f9c3da831ad746ce415dc7b1abf66aea0adb0506c5c7c6630ede8fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c02422cf8f9c3da831ad746ce415dc7b1abf66aea0adb0506c5c7c6630ede8fb","first_computed_at":"2026-05-18T03:55:01.005573Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:01.005573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0My4VnzsdgH4pV4ZDZgigVCmu0BzvcSWvApm0IJRt+joyKPKgu2YSVmYKb58eEe1WryY5Xupe8X5hBuADRhcCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:01.006307Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.5462","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b60457431b99b8c492c6a7dac7bd44ac077819f8877e586ba8f7e72e885b77d1","sha256:61b4079a1b6910a8416d555302c43a6615bf8d3711dff8574b9822a4ad344acf"],"state_sha256":"fb24d47ad653132dc76e207b32189136c3fdac715a9e7c235a64840a7a0e6adc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vqtawDBoHRohl7aNW6fat/1Jz9A51CmdvaEXUyE28eSxSPQLnTSVoYWKRY0CDuzNsqDthT26Lizd1qRQkvhSAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T20:02:41.436904Z","bundle_sha256":"179d02c43337068e3e121445a7dc12724904e2d7b3f9935727f30ea6acd8b401"}}