{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JKSZ66VV4YY2CXBFVEROXGTR3G","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":"064c5aa74fbf6b50963c80e99f7faa7a428657b3fbba6713a09203265f8eb687","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-17T17:39:39Z","title_canon_sha256":"b3d6d0e5bc61bcdfad8f724de96308ca67d59cc75edf08f18d62e5cc9d916a0b"},"schema_version":"1.0","source":{"id":"1110.3738","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3738","created_at":"2026-05-18T01:36:16Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3738v2","created_at":"2026-05-18T01:36:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3738","created_at":"2026-05-18T01:36:16Z"},{"alias_kind":"pith_short_12","alias_value":"JKSZ66VV4YY2","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JKSZ66VV4YY2CXBF","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JKSZ66VV","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:7390a45f33b627af2d0a8d35f73aded42b478d29c0941d5cfb16efe991ae7659","target":"graph","created_at":"2026-05-18T01:36:16Z","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 show that the existence of exceptional polynomials leads to the presence of non-trivial supersymmetry. The existence of these polynomials reveals several distinct isospectral potentials for the Schr\\\"odinger equation. All Schr\\\"odinger equations having Laguerre and Jacobi polynomials as their solutions, have non-trivial supersymmetric partners with corresponding exceptional polynomials as solutions.","authors_text":"K. V. S. Shiv Chaitanya, Prasanta K. Panigrahi, R Radhakrishnan, S. Sree Ranjani, V. Srinivasan","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-17T17:39:39Z","title":"Exceptional Polynomials and SUSY Quantum Mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3738","kind":"arxiv","version":2},"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":"sha256:6238ceac2633d19aa6a63149759cbdda73cc2b511ee0f148798d7846da27447b","target":"record","created_at":"2026-05-18T01:36:16Z","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":"064c5aa74fbf6b50963c80e99f7faa7a428657b3fbba6713a09203265f8eb687","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-17T17:39:39Z","title_canon_sha256":"b3d6d0e5bc61bcdfad8f724de96308ca67d59cc75edf08f18d62e5cc9d916a0b"},"schema_version":"1.0","source":{"id":"1110.3738","kind":"arxiv","version":2}},"canonical_sha256":"4aa59f7ab5e631a15c25a922eb9a71d9b9d2c88ccb3dbd711d662b6a23891995","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4aa59f7ab5e631a15c25a922eb9a71d9b9d2c88ccb3dbd711d662b6a23891995","first_computed_at":"2026-05-18T01:36:16.027830Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:16.027830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ygKKBmb85/gkYxEJMdIv1xyUwR7tgpP+8TFtqdIjIhLWuSQHQbDXdSA3Hr86OU+iZCP8Z2f2AgWb7Wzjmn14Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:16.028262Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.3738","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6238ceac2633d19aa6a63149759cbdda73cc2b511ee0f148798d7846da27447b","sha256:7390a45f33b627af2d0a8d35f73aded42b478d29c0941d5cfb16efe991ae7659"],"state_sha256":"1e864aa53f3f71e609ce8d22fde2409f8d2051ad61373b1a2686b1f64e2746e7"}