{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WSUC5GD3UVKYB6TI5ZHGY3BUSR","short_pith_number":"pith:WSUC5GD3","canonical_record":{"source":{"id":"1702.00843","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-02T22:07:23Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"d0647d45907e50c6b36b7da48feccc83efb2eee3a11ba4417285da2fa6b980be","abstract_canon_sha256":"5602714930931db8cc30afcafba7d1f0ded83ca02844d5a92895dc5e8e28e8bf"},"schema_version":"1.0"},"canonical_sha256":"b4a82e987ba55580fa68ee4e6c6c34946d4b45cebca53bf3ae6dd5ab92d5d158","source":{"kind":"arxiv","id":"1702.00843","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.00843","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"arxiv_version","alias_value":"1702.00843v1","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00843","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"pith_short_12","alias_value":"WSUC5GD3UVKY","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WSUC5GD3UVKYB6TI","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WSUC5GD3","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WSUC5GD3UVKYB6TI5ZHGY3BUSR","target":"record","payload":{"canonical_record":{"source":{"id":"1702.00843","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-02T22:07:23Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"d0647d45907e50c6b36b7da48feccc83efb2eee3a11ba4417285da2fa6b980be","abstract_canon_sha256":"5602714930931db8cc30afcafba7d1f0ded83ca02844d5a92895dc5e8e28e8bf"},"schema_version":"1.0"},"canonical_sha256":"b4a82e987ba55580fa68ee4e6c6c34946d4b45cebca53bf3ae6dd5ab92d5d158","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:29.617405Z","signature_b64":"ZUA4mxXwlKp8GWNN4rSrxEiUwv73Fc4Hd20HhHrLJsoMM9KiyH7qv/xRKNz7gIq4EmYY3dGUKiY2oKxuvJTLAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4a82e987ba55580fa68ee4e6c6c34946d4b45cebca53bf3ae6dd5ab92d5d158","last_reissued_at":"2026-05-18T00:51:29.616929Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:29.616929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.00843","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":"2026-05-18T00:51:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uDfVW+0rmq7AgQKRm1Px3XIkWuXZvu40eCuRqRgz9CnNMm+3E15aBY2vuEDymnsk1TxI4aOZyDudMrr1EkRuDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:07:47.103241Z"},"content_sha256":"13c41b571ce86360c49513fb947451a7d8e5956dd93639951113b2c0221c8510","schema_version":"1.0","event_id":"sha256:13c41b571ce86360c49513fb947451a7d8e5956dd93639951113b2c0221c8510"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WSUC5GD3UVKYB6TI5ZHGY3BUSR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Recursive Representation of Wronskians in Confluent Supersymmetric Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Alonso Contreras-Astorga, Axel Schulze-Halberg","submitted_at":"2017-02-02T22:07:23Z","abstract_excerpt":"A recursive form of arbitrary-order Wronskian associated with transformation functions in the confluent algorithm of supersymmetric quantum mechanics (SUSY) is constructed. With this recursive form regularity conditions for the generated potentials can be analyzed. Moreover, as byproducts we obtain new representations of solutions to Schr\\\"odinger equations that underwent a confluent SUSY-transformation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00843","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":"2026-05-18T00:51:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y51nrpuQRcmLtl5qajsrz9iUZnl8DbLUhoua58acAfeLByRFcFjbu7uz2IvyvB8EXQ9SE0QNgux01Pel4YF2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:07:47.103877Z"},"content_sha256":"6a85df07db44969bcf808f73d33490ba79ba77a18abff60aa8d7cab4abc3c752","schema_version":"1.0","event_id":"sha256:6a85df07db44969bcf808f73d33490ba79ba77a18abff60aa8d7cab4abc3c752"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WSUC5GD3UVKYB6TI5ZHGY3BUSR/bundle.json","state_url":"https://pith.science/pith/WSUC5GD3UVKYB6TI5ZHGY3BUSR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WSUC5GD3UVKYB6TI5ZHGY3BUSR/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":"2026-05-31T21:07:47Z","links":{"resolver":"https://pith.science/pith/WSUC5GD3UVKYB6TI5ZHGY3BUSR","bundle":"https://pith.science/pith/WSUC5GD3UVKYB6TI5ZHGY3BUSR/bundle.json","state":"https://pith.science/pith/WSUC5GD3UVKYB6TI5ZHGY3BUSR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WSUC5GD3UVKYB6TI5ZHGY3BUSR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WSUC5GD3UVKYB6TI5ZHGY3BUSR","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":"5602714930931db8cc30afcafba7d1f0ded83ca02844d5a92895dc5e8e28e8bf","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-02T22:07:23Z","title_canon_sha256":"d0647d45907e50c6b36b7da48feccc83efb2eee3a11ba4417285da2fa6b980be"},"schema_version":"1.0","source":{"id":"1702.00843","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.00843","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"arxiv_version","alias_value":"1702.00843v1","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00843","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"pith_short_12","alias_value":"WSUC5GD3UVKY","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WSUC5GD3UVKYB6TI","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WSUC5GD3","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:6a85df07db44969bcf808f73d33490ba79ba77a18abff60aa8d7cab4abc3c752","target":"graph","created_at":"2026-05-18T00:51:29Z","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":"A recursive form of arbitrary-order Wronskian associated with transformation functions in the confluent algorithm of supersymmetric quantum mechanics (SUSY) is constructed. With this recursive form regularity conditions for the generated potentials can be analyzed. Moreover, as byproducts we obtain new representations of solutions to Schr\\\"odinger equations that underwent a confluent SUSY-transformation.","authors_text":"Alonso Contreras-Astorga, Axel Schulze-Halberg","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-02T22:07:23Z","title":"Recursive Representation of Wronskians in Confluent Supersymmetric Quantum Mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00843","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":"sha256:13c41b571ce86360c49513fb947451a7d8e5956dd93639951113b2c0221c8510","target":"record","created_at":"2026-05-18T00:51:29Z","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":"5602714930931db8cc30afcafba7d1f0ded83ca02844d5a92895dc5e8e28e8bf","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-02T22:07:23Z","title_canon_sha256":"d0647d45907e50c6b36b7da48feccc83efb2eee3a11ba4417285da2fa6b980be"},"schema_version":"1.0","source":{"id":"1702.00843","kind":"arxiv","version":1}},"canonical_sha256":"b4a82e987ba55580fa68ee4e6c6c34946d4b45cebca53bf3ae6dd5ab92d5d158","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4a82e987ba55580fa68ee4e6c6c34946d4b45cebca53bf3ae6dd5ab92d5d158","first_computed_at":"2026-05-18T00:51:29.616929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:29.616929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZUA4mxXwlKp8GWNN4rSrxEiUwv73Fc4Hd20HhHrLJsoMM9KiyH7qv/xRKNz7gIq4EmYY3dGUKiY2oKxuvJTLAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:29.617405Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.00843","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13c41b571ce86360c49513fb947451a7d8e5956dd93639951113b2c0221c8510","sha256:6a85df07db44969bcf808f73d33490ba79ba77a18abff60aa8d7cab4abc3c752"],"state_sha256":"e4e449c1abb18defae41f22cb1e2b268018b608104cc5c86d65299c7512d48db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FgOZ7rB9rI+ycK3hbKanD1QcFEknEf1L8dNIZWXPAaGAnW/pI5/lI+daTfw/gjLz3fx0FAzLy5uJ3GGVPIoADA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T21:07:47.107608Z","bundle_sha256":"65f5a92d5ddd88765c59dd5fcd341d55e64f00c5e17f55342784ee1dbcedad58"}}