{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ABBVSL5F2TJGP3G64BTGUTAYFW","short_pith_number":"pith:ABBVSL5F","canonical_record":{"source":{"id":"1810.04701","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-10T18:39:43Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0ac28ec0aa52fa0cbc7b8ca3fba3e8b879f1a955e2c826d6877e8e43909956f4","abstract_canon_sha256":"e70959c956b518a1d4f1ac477859dedf47445f90d12c7f50c3e0de2d8af25ac2"},"schema_version":"1.0"},"canonical_sha256":"0043592fa5d4d267ecdee0666a4c182d8971cd8020c914373df45d46fb3122f2","source":{"kind":"arxiv","id":"1810.04701","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.04701","created_at":"2026-05-18T00:03:36Z"},{"alias_kind":"arxiv_version","alias_value":"1810.04701v1","created_at":"2026-05-18T00:03:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.04701","created_at":"2026-05-18T00:03:36Z"},{"alias_kind":"pith_short_12","alias_value":"ABBVSL5F2TJG","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"ABBVSL5F2TJGP3G6","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"ABBVSL5F","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ABBVSL5F2TJGP3G64BTGUTAYFW","target":"record","payload":{"canonical_record":{"source":{"id":"1810.04701","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-10T18:39:43Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0ac28ec0aa52fa0cbc7b8ca3fba3e8b879f1a955e2c826d6877e8e43909956f4","abstract_canon_sha256":"e70959c956b518a1d4f1ac477859dedf47445f90d12c7f50c3e0de2d8af25ac2"},"schema_version":"1.0"},"canonical_sha256":"0043592fa5d4d267ecdee0666a4c182d8971cd8020c914373df45d46fb3122f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:36.157991Z","signature_b64":"JK3sVAsU9JUhq4qLeVFAVRVY2i7A64enIz6D37fOz0kudLk9ZrYsiZhvuCp33o5w7gN/onNZ50hIzYmnRWAMCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0043592fa5d4d267ecdee0666a4c182d8971cd8020c914373df45d46fb3122f2","last_reissued_at":"2026-05-18T00:03:36.157457Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:36.157457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.04701","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":"2026-05-18T00:03:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vtwHp4P26G32XgVeW9t0EBP6G+W7uQ08K24pBxAxMiKYlrG7/a+S87/pmNDrFnX3dnk6y/yKl6HTs6fIa0CoDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:57:34.059631Z"},"content_sha256":"86e03c29c2485d1588075b007b69916e33307cc0b24e99509c89cd76eb2591c7","schema_version":"1.0","event_id":"sha256:86e03c29c2485d1588075b007b69916e33307cc0b24e99509c89cd76eb2591c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ABBVSL5F2TJGP3G64BTGUTAYFW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact results for the infinite supersymmetric extensions of the infinite square well","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"E. Leon, K. Gutierrez, M. Belloni, R. W. Robinett","submitted_at":"2018-10-10T18:39:43Z","abstract_excerpt":"One-dimensional potentials defined by $V^{(S)}(x) =S(S+1) \\hbar^2 \\pi^2 /[2ma^2\\sin^2(\\pi x/a)]$ (for integer $S$) arise in the repeated supersymmetrization of the infinite square well, here defined over the region $(0,a)$. We review the derivation of this hierarchy of potentials and then use the methods of supersymmetric quantum mechanics, as well as more familiar textbook techniques, to derive compact closed-form expressions for the normalized solutions, $\\psi_n^{(S)}(x)$, for all $V^{(S)}(x)$ in terms of well-known special functions in a pedagogically accessible manner. We also note how the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.04701","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":"2026-05-18T00:03:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0b9Bw8/yvDJc4JkO86nm45/9KeQmmoMzzj3VqUhCF6Ivz+Ht+ZMv4D2h/53+hoN2AhE7gA/oQyGerhyuhzSLDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:57:34.060390Z"},"content_sha256":"0ddc74a278d296b1db32f5472c6c791225675844b9cb70204fd9765b7d4b5af3","schema_version":"1.0","event_id":"sha256:0ddc74a278d296b1db32f5472c6c791225675844b9cb70204fd9765b7d4b5af3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ABBVSL5F2TJGP3G64BTGUTAYFW/bundle.json","state_url":"https://pith.science/pith/ABBVSL5F2TJGP3G64BTGUTAYFW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ABBVSL5F2TJGP3G64BTGUTAYFW/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":"2026-05-31T10:57:34Z","links":{"resolver":"https://pith.science/pith/ABBVSL5F2TJGP3G64BTGUTAYFW","bundle":"https://pith.science/pith/ABBVSL5F2TJGP3G64BTGUTAYFW/bundle.json","state":"https://pith.science/pith/ABBVSL5F2TJGP3G64BTGUTAYFW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ABBVSL5F2TJGP3G64BTGUTAYFW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ABBVSL5F2TJGP3G64BTGUTAYFW","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":"e70959c956b518a1d4f1ac477859dedf47445f90d12c7f50c3e0de2d8af25ac2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-10T18:39:43Z","title_canon_sha256":"0ac28ec0aa52fa0cbc7b8ca3fba3e8b879f1a955e2c826d6877e8e43909956f4"},"schema_version":"1.0","source":{"id":"1810.04701","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.04701","created_at":"2026-05-18T00:03:36Z"},{"alias_kind":"arxiv_version","alias_value":"1810.04701v1","created_at":"2026-05-18T00:03:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.04701","created_at":"2026-05-18T00:03:36Z"},{"alias_kind":"pith_short_12","alias_value":"ABBVSL5F2TJG","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"ABBVSL5F2TJGP3G6","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"ABBVSL5F","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:0ddc74a278d296b1db32f5472c6c791225675844b9cb70204fd9765b7d4b5af3","target":"graph","created_at":"2026-05-18T00:03:36Z","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":"One-dimensional potentials defined by $V^{(S)}(x) =S(S+1) \\hbar^2 \\pi^2 /[2ma^2\\sin^2(\\pi x/a)]$ (for integer $S$) arise in the repeated supersymmetrization of the infinite square well, here defined over the region $(0,a)$. We review the derivation of this hierarchy of potentials and then use the methods of supersymmetric quantum mechanics, as well as more familiar textbook techniques, to derive compact closed-form expressions for the normalized solutions, $\\psi_n^{(S)}(x)$, for all $V^{(S)}(x)$ in terms of well-known special functions in a pedagogically accessible manner. We also note how the","authors_text":"E. Leon, K. Gutierrez, M. Belloni, R. W. Robinett","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-10T18:39:43Z","title":"Exact results for the infinite supersymmetric extensions of the infinite square well"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.04701","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":"sha256:86e03c29c2485d1588075b007b69916e33307cc0b24e99509c89cd76eb2591c7","target":"record","created_at":"2026-05-18T00:03:36Z","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":"e70959c956b518a1d4f1ac477859dedf47445f90d12c7f50c3e0de2d8af25ac2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-10T18:39:43Z","title_canon_sha256":"0ac28ec0aa52fa0cbc7b8ca3fba3e8b879f1a955e2c826d6877e8e43909956f4"},"schema_version":"1.0","source":{"id":"1810.04701","kind":"arxiv","version":1}},"canonical_sha256":"0043592fa5d4d267ecdee0666a4c182d8971cd8020c914373df45d46fb3122f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0043592fa5d4d267ecdee0666a4c182d8971cd8020c914373df45d46fb3122f2","first_computed_at":"2026-05-18T00:03:36.157457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:36.157457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JK3sVAsU9JUhq4qLeVFAVRVY2i7A64enIz6D37fOz0kudLk9ZrYsiZhvuCp33o5w7gN/onNZ50hIzYmnRWAMCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:36.157991Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.04701","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86e03c29c2485d1588075b007b69916e33307cc0b24e99509c89cd76eb2591c7","sha256:0ddc74a278d296b1db32f5472c6c791225675844b9cb70204fd9765b7d4b5af3"],"state_sha256":"ce459117505909c1b4813fefe7fe782b5ce126eea77cbe134082f1c5b883f81b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xiM/U/OzYEbSdC05g4c4t2ugaVHQHZ5Qkgsl632orTTi1K8kcrBzZRTQEWGp0khpunyvtgFa7K7hzdEaLhkmBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T10:57:34.065124Z","bundle_sha256":"adf488fb7fa47d9f3cc64c1a9263bdaebd47920299b41657bd82f87ec8b0a489"}}