{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XDHZ3NKHOUSGTX3TNUCJWWTLHA","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":"a04fc322d592df72c733814959e4fd5a42bea65b8cad6a811bfae0264bf7bd35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-05-11T09:42:46Z","title_canon_sha256":"7a32582b4649d695931c3f5693b18b42fd447292981312a93cc8e89cfc2366f0"},"schema_version":"1.0","source":{"id":"1705.04599","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04599","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04599v1","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04599","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"pith_short_12","alias_value":"XDHZ3NKHOUSG","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"XDHZ3NKHOUSGTX3T","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"XDHZ3NKH","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:82adb62faafaf6180826852ab65562f7f9600126f90753cefefc59cb1596e240","target":"graph","created_at":"2026-05-18T00:44:37Z","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 develop a new and further generalized form of the fractional kinetic equation involving generalized k-Bessel function. The manifold generality of the generalized k-Bessel function is discussed in terms of the solution of the fractional kinetic equation in the present paper. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.","authors_text":"Abdon Atangana, Gurmej Singh, Mehar Chand, Praveen Agarwal, Shilpi Jain","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-05-11T09:42:46Z","title":"Certain Fractional Kinetic Equations Involving Generalized k-Bessel Function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04599","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":"sha256:41dcbd65c31bb7f639d7e3fd6cd1c21c2f7d4635f5ef04031c176f9718105072","target":"record","created_at":"2026-05-18T00:44:37Z","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":"a04fc322d592df72c733814959e4fd5a42bea65b8cad6a811bfae0264bf7bd35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-05-11T09:42:46Z","title_canon_sha256":"7a32582b4649d695931c3f5693b18b42fd447292981312a93cc8e89cfc2366f0"},"schema_version":"1.0","source":{"id":"1705.04599","kind":"arxiv","version":1}},"canonical_sha256":"b8cf9db547752469df736d049b5a6b3803faf33dc1989342b7b948f5b48395c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8cf9db547752469df736d049b5a6b3803faf33dc1989342b7b948f5b48395c7","first_computed_at":"2026-05-18T00:44:37.684989Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:37.684989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pE8HTyTq5qv+uaCaksHsh5C8Eo3I2zL6Jgyu4zAxQ4H4rgSOjrkdNxi1/WHjlPMW3d5FlovKMkPsZTmCcqHUDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:37.685454Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.04599","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41dcbd65c31bb7f639d7e3fd6cd1c21c2f7d4635f5ef04031c176f9718105072","sha256:82adb62faafaf6180826852ab65562f7f9600126f90753cefefc59cb1596e240"],"state_sha256":"fb7975391bdcf342bb77d2244d50ed97d4e530478fcd774dc7dfa1e149cb35ec"}