{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MAHHK6BEMWLEU7PE3RI6UENMJN","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":"a7e6f19a03f8467be3b2f0568a1d02e4e4459987345aa46db8b325ea3fe6b252","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-03-01T21:22:00Z","title_canon_sha256":"365d81023009f198628fe5015976ba242defec9fc27437511738b96d519cf5f4"},"schema_version":"1.0","source":{"id":"1703.01906","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01906","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01906v1","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01906","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"pith_short_12","alias_value":"MAHHK6BEMWLE","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MAHHK6BEMWLEU7PE","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MAHHK6BE","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:febbcc2b78698c88d6a72e52c678fac8000680278ca7b58aafd345b340187833","target":"graph","created_at":"2026-05-18T00:49:29Z","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":"Two $(p,q)$-Laplace transforms are introduced and their relative properties are stated and proved. Applications are made to solve some $(p,q)$-linear difference equations.","authors_text":"P. Njionou Sadjang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-03-01T21:22:00Z","title":"On two $(p,q)$-analogues of the Laplace transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01906","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":"sha256:0c5c5fe88b8b68f91cd58272b7c11ba1a33af57106cac03bd64746dda7273e4f","target":"record","created_at":"2026-05-18T00:49:29Z","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":"a7e6f19a03f8467be3b2f0568a1d02e4e4459987345aa46db8b325ea3fe6b252","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-03-01T21:22:00Z","title_canon_sha256":"365d81023009f198628fe5015976ba242defec9fc27437511738b96d519cf5f4"},"schema_version":"1.0","source":{"id":"1703.01906","kind":"arxiv","version":1}},"canonical_sha256":"600e75782465964a7de4dc51ea11ac4b636c93b445ee258f75d4d5cda1447d0a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"600e75782465964a7de4dc51ea11ac4b636c93b445ee258f75d4d5cda1447d0a","first_computed_at":"2026-05-18T00:49:29.316639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:29.316639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wrSteh6MK0KjITyCrJLCenPX5dQ+TyWYWwrA67qjzYlcbSfL0dzkcv/tW1eLKY/MzH0+0RUHs0+1OxWmeAh9Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:29.317296Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.01906","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c5c5fe88b8b68f91cd58272b7c11ba1a33af57106cac03bd64746dda7273e4f","sha256:febbcc2b78698c88d6a72e52c678fac8000680278ca7b58aafd345b340187833"],"state_sha256":"2cb64c1e64fc368c03b0554db12dec017fc3bb7f2f86122359745ebab6fd0104"}