{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:5V2WDIKUBIIN5IN5OPYGCPQH63","short_pith_number":"pith:5V2WDIKU","canonical_record":{"source":{"id":"1201.3427","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-17T04:50:13Z","cross_cats_sorted":["hep-th","math.CA","math.MP","nlin.SI","quant-ph"],"title_canon_sha256":"8c09c14593a891bbfbea492a1783ce8cf8e5757ea4096fd71393469eddf77ace","abstract_canon_sha256":"dcce5a7c3b38fad27cdec9adb3604b9c06eddd4c0ce74ce46ebfa78e45c3d4b2"},"schema_version":"1.0"},"canonical_sha256":"ed7561a1540a10dea1bd73f0613e07f6cfdbf57021be38e4ff013dc302cfc254","source":{"kind":"arxiv","id":"1201.3427","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.3427","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"arxiv_version","alias_value":"1201.3427v3","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.3427","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"pith_short_12","alias_value":"5V2WDIKUBIIN","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"5V2WDIKUBIIN5IN5","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"5V2WDIKU","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:5V2WDIKUBIIN5IN5OPYGCPQH63","target":"record","payload":{"canonical_record":{"source":{"id":"1201.3427","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-17T04:50:13Z","cross_cats_sorted":["hep-th","math.CA","math.MP","nlin.SI","quant-ph"],"title_canon_sha256":"8c09c14593a891bbfbea492a1783ce8cf8e5757ea4096fd71393469eddf77ace","abstract_canon_sha256":"dcce5a7c3b38fad27cdec9adb3604b9c06eddd4c0ce74ce46ebfa78e45c3d4b2"},"schema_version":"1.0"},"canonical_sha256":"ed7561a1540a10dea1bd73f0613e07f6cfdbf57021be38e4ff013dc302cfc254","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:37.016581Z","signature_b64":"yXCE6L/yLNv+Ny9FfEPcUWIDS0GeQ2DV7kMtN0V/mKKT7+BPfX7R2ZfABzC9EbHF6h9A5o1OG+IlXrwN1qRTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed7561a1540a10dea1bd73f0613e07f6cfdbf57021be38e4ff013dc302cfc254","last_reissued_at":"2026-05-18T03:36:37.016146Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:37.016146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.3427","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:36:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Mz36THF+EKuuchPfzkp/k1wDSRIBviHnCHanEJIaGR9Yi/tFLz4CULZDktlrNvYl3u7fZscP+WarRCec4oFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T16:40:31.375615Z"},"content_sha256":"7cdf093667f65447e8abb8c79d6feef58f3946a66e8116ff64b4fb315cac8a35","schema_version":"1.0","event_id":"sha256:7cdf093667f65447e8abb8c79d6feef58f3946a66e8116ff64b4fb315cac8a35"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:5V2WDIKUBIIN5IN5OPYGCPQH63","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Novel quasi-exactly solvable models with anharmonic singular potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.CA","math.MP","nlin.SI","quant-ph"],"primary_cat":"math-ph","authors_text":"Davids Agboola, Yao-Zhong Zhang","submitted_at":"2012-01-17T04:50:13Z","abstract_excerpt":"We present new quasi-exactly solvable models with inverse quartic, sextic, octic and decatic power potentials, respectively. We solve these models exactly via the functional Bethe ansatz method. For each case, we give closed-form solutions for the energies and the wave functions as well as analytical expressions for the allowed potential parameters in terms of a set of algebraic equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.3427","kind":"arxiv","version":3},"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":"2026-05-18T03:36:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z/k2fEaxePA9VvR1loy9QUM6bIOP7g4qfNAYLr5kTPP51lRiGTCDRRV9mfaWAM8sBC7j0Q1ZlBn4F4PYbXBBBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T16:40:31.375967Z"},"content_sha256":"598ebbafadbabea694790d888af1dafb7048e80a4ae7a1a19c9830b6eaedbd07","schema_version":"1.0","event_id":"sha256:598ebbafadbabea694790d888af1dafb7048e80a4ae7a1a19c9830b6eaedbd07"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5V2WDIKUBIIN5IN5OPYGCPQH63/bundle.json","state_url":"https://pith.science/pith/5V2WDIKUBIIN5IN5OPYGCPQH63/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5V2WDIKUBIIN5IN5OPYGCPQH63/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":"2026-06-09T16:40:31Z","links":{"resolver":"https://pith.science/pith/5V2WDIKUBIIN5IN5OPYGCPQH63","bundle":"https://pith.science/pith/5V2WDIKUBIIN5IN5OPYGCPQH63/bundle.json","state":"https://pith.science/pith/5V2WDIKUBIIN5IN5OPYGCPQH63/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5V2WDIKUBIIN5IN5OPYGCPQH63/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5V2WDIKUBIIN5IN5OPYGCPQH63","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":"dcce5a7c3b38fad27cdec9adb3604b9c06eddd4c0ce74ce46ebfa78e45c3d4b2","cross_cats_sorted":["hep-th","math.CA","math.MP","nlin.SI","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-17T04:50:13Z","title_canon_sha256":"8c09c14593a891bbfbea492a1783ce8cf8e5757ea4096fd71393469eddf77ace"},"schema_version":"1.0","source":{"id":"1201.3427","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.3427","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"arxiv_version","alias_value":"1201.3427v3","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.3427","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"pith_short_12","alias_value":"5V2WDIKUBIIN","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"5V2WDIKUBIIN5IN5","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"5V2WDIKU","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:598ebbafadbabea694790d888af1dafb7048e80a4ae7a1a19c9830b6eaedbd07","target":"graph","created_at":"2026-05-18T03:36:37Z","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 present new quasi-exactly solvable models with inverse quartic, sextic, octic and decatic power potentials, respectively. We solve these models exactly via the functional Bethe ansatz method. For each case, we give closed-form solutions for the energies and the wave functions as well as analytical expressions for the allowed potential parameters in terms of a set of algebraic equations.","authors_text":"Davids Agboola, Yao-Zhong Zhang","cross_cats":["hep-th","math.CA","math.MP","nlin.SI","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-17T04:50:13Z","title":"Novel quasi-exactly solvable models with anharmonic singular potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.3427","kind":"arxiv","version":3},"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":"sha256:7cdf093667f65447e8abb8c79d6feef58f3946a66e8116ff64b4fb315cac8a35","target":"record","created_at":"2026-05-18T03:36:37Z","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":"dcce5a7c3b38fad27cdec9adb3604b9c06eddd4c0ce74ce46ebfa78e45c3d4b2","cross_cats_sorted":["hep-th","math.CA","math.MP","nlin.SI","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-17T04:50:13Z","title_canon_sha256":"8c09c14593a891bbfbea492a1783ce8cf8e5757ea4096fd71393469eddf77ace"},"schema_version":"1.0","source":{"id":"1201.3427","kind":"arxiv","version":3}},"canonical_sha256":"ed7561a1540a10dea1bd73f0613e07f6cfdbf57021be38e4ff013dc302cfc254","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed7561a1540a10dea1bd73f0613e07f6cfdbf57021be38e4ff013dc302cfc254","first_computed_at":"2026-05-18T03:36:37.016146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:37.016146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yXCE6L/yLNv+Ny9FfEPcUWIDS0GeQ2DV7kMtN0V/mKKT7+BPfX7R2ZfABzC9EbHF6h9A5o1OG+IlXrwN1qRTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:37.016581Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.3427","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7cdf093667f65447e8abb8c79d6feef58f3946a66e8116ff64b4fb315cac8a35","sha256:598ebbafadbabea694790d888af1dafb7048e80a4ae7a1a19c9830b6eaedbd07"],"state_sha256":"5fdf0a2e3b87000755b257b9233b4da86ab8361abd1f5a54ff13a06eeac5b648"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e+ItPR9t69U7z33OsKGohJx4mbL+FtMhiDO439TG47jA0bDQ4mflQScnHdU2rAtcITNDM4b7KolW/Pa9HS8eDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T16:40:31.378047Z","bundle_sha256":"2f0ae736f8d8a67a565fe506e3365c0b592842dac6d966b5032c74c0d375f32e"}}