{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EWR7Q6HXRX2OKVEQKEVPBJJ6TR","short_pith_number":"pith:EWR7Q6HX","canonical_record":{"source":{"id":"1705.07181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-05-10T19:33:14Z","cross_cats_sorted":[],"title_canon_sha256":"1603fc6c24b6328902c68f44c426a89a1b269aa57931b0a9cae1ebdb2bff7c8e","abstract_canon_sha256":"03a3e8e00fe027bed9ec56fca119f037744de4939e73df0a2dadfb0c00834014"},"schema_version":"1.0"},"canonical_sha256":"25a3f878f78df4e55490512af0a53e9c414c0ae9acfba14f7185712ec39f2b80","source":{"kind":"arxiv","id":"1705.07181","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.07181","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"arxiv_version","alias_value":"1705.07181v1","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07181","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"pith_short_12","alias_value":"EWR7Q6HXRX2O","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EWR7Q6HXRX2OKVEQ","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EWR7Q6HX","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EWR7Q6HXRX2OKVEQKEVPBJJ6TR","target":"record","payload":{"canonical_record":{"source":{"id":"1705.07181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-05-10T19:33:14Z","cross_cats_sorted":[],"title_canon_sha256":"1603fc6c24b6328902c68f44c426a89a1b269aa57931b0a9cae1ebdb2bff7c8e","abstract_canon_sha256":"03a3e8e00fe027bed9ec56fca119f037744de4939e73df0a2dadfb0c00834014"},"schema_version":"1.0"},"canonical_sha256":"25a3f878f78df4e55490512af0a53e9c414c0ae9acfba14f7185712ec39f2b80","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:06.384602Z","signature_b64":"+nmCS5xeM7xqkHtGSa9GK6L7IVE1zusLLbkMiTmNkKLoLsy+tzPzSTU1dB3eOg8osLuqKzw9GqoqbsKo5EomCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25a3f878f78df4e55490512af0a53e9c414c0ae9acfba14f7185712ec39f2b80","last_reissued_at":"2026-05-18T00:44:06.384051Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:06.384051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.07181","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":"2026-05-18T00:44:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sa7CQJfEBbTJT+lnjznsASCsRT7CPRgiK75EYcM4Vuv4KatQAixaC1uqoLm/CK0X4zHAu5vIft75pKupCJwNBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:56:07.189963Z"},"content_sha256":"ed0a1a04c5ba99e931552a02048a4b61c227a13b91481730bd0cc7d12c8f2b98","schema_version":"1.0","event_id":"sha256:ed0a1a04c5ba99e931552a02048a4b61c227a13b91481730bd0cc7d12c8f2b98"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EWR7Q6HXRX2OKVEQKEVPBJJ6TR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mittag-Leffler functions and the truncated $\\mathcal{V}$-fractional derivative","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"E. Capelas de Oliveira, J. Vanterler da C. Sousa","submitted_at":"2017-05-10T19:33:14Z","abstract_excerpt":"We introduce a new derivative, the so-called truncated $\\mathcal{V}$-fractional derivative for $\\alpha$-differentiable functions through the six parameters truncated Mittag-Leffler function, which generalizes different fractional derivatives, recently introduced: conformable fractional derivatives, alternative fractional derivative, truncated alternative fractional derivative, $M$-fractional derivative and truncated $M$-fractional derivative.\n  This new truncated $\\mathcal{V}$-fractional derivative satisfies properties of the entire order calculus, among them: linearity, product rule, quotient"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07181","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":"2026-05-18T00:44:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QQ/S2rpAN8OK0Cktx5I/DN09O++bc4TYUTd/nFgkYEvGwk4XhfsQDz1adFUmgdgK2nd1VuKt15CZXxwGnqiLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:56:07.190309Z"},"content_sha256":"37f430f8b90ed01124034973afc1a9d6a1f2d1bd682a7df0cc78ae549f3b32a4","schema_version":"1.0","event_id":"sha256:37f430f8b90ed01124034973afc1a9d6a1f2d1bd682a7df0cc78ae549f3b32a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EWR7Q6HXRX2OKVEQKEVPBJJ6TR/bundle.json","state_url":"https://pith.science/pith/EWR7Q6HXRX2OKVEQKEVPBJJ6TR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EWR7Q6HXRX2OKVEQKEVPBJJ6TR/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":"2026-06-03T21:56:07Z","links":{"resolver":"https://pith.science/pith/EWR7Q6HXRX2OKVEQKEVPBJJ6TR","bundle":"https://pith.science/pith/EWR7Q6HXRX2OKVEQKEVPBJJ6TR/bundle.json","state":"https://pith.science/pith/EWR7Q6HXRX2OKVEQKEVPBJJ6TR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EWR7Q6HXRX2OKVEQKEVPBJJ6TR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EWR7Q6HXRX2OKVEQKEVPBJJ6TR","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":"03a3e8e00fe027bed9ec56fca119f037744de4939e73df0a2dadfb0c00834014","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-05-10T19:33:14Z","title_canon_sha256":"1603fc6c24b6328902c68f44c426a89a1b269aa57931b0a9cae1ebdb2bff7c8e"},"schema_version":"1.0","source":{"id":"1705.07181","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.07181","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"arxiv_version","alias_value":"1705.07181v1","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07181","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"pith_short_12","alias_value":"EWR7Q6HXRX2O","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EWR7Q6HXRX2OKVEQ","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EWR7Q6HX","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:37f430f8b90ed01124034973afc1a9d6a1f2d1bd682a7df0cc78ae549f3b32a4","target":"graph","created_at":"2026-05-18T00:44:06Z","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 introduce a new derivative, the so-called truncated $\\mathcal{V}$-fractional derivative for $\\alpha$-differentiable functions through the six parameters truncated Mittag-Leffler function, which generalizes different fractional derivatives, recently introduced: conformable fractional derivatives, alternative fractional derivative, truncated alternative fractional derivative, $M$-fractional derivative and truncated $M$-fractional derivative.\n  This new truncated $\\mathcal{V}$-fractional derivative satisfies properties of the entire order calculus, among them: linearity, product rule, quotient","authors_text":"E. Capelas de Oliveira, J. Vanterler da C. Sousa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-05-10T19:33:14Z","title":"Mittag-Leffler functions and the truncated $\\mathcal{V}$-fractional derivative"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07181","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:ed0a1a04c5ba99e931552a02048a4b61c227a13b91481730bd0cc7d12c8f2b98","target":"record","created_at":"2026-05-18T00:44:06Z","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":"03a3e8e00fe027bed9ec56fca119f037744de4939e73df0a2dadfb0c00834014","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-05-10T19:33:14Z","title_canon_sha256":"1603fc6c24b6328902c68f44c426a89a1b269aa57931b0a9cae1ebdb2bff7c8e"},"schema_version":"1.0","source":{"id":"1705.07181","kind":"arxiv","version":1}},"canonical_sha256":"25a3f878f78df4e55490512af0a53e9c414c0ae9acfba14f7185712ec39f2b80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25a3f878f78df4e55490512af0a53e9c414c0ae9acfba14f7185712ec39f2b80","first_computed_at":"2026-05-18T00:44:06.384051Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:06.384051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+nmCS5xeM7xqkHtGSa9GK6L7IVE1zusLLbkMiTmNkKLoLsy+tzPzSTU1dB3eOg8osLuqKzw9GqoqbsKo5EomCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:06.384602Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.07181","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed0a1a04c5ba99e931552a02048a4b61c227a13b91481730bd0cc7d12c8f2b98","sha256:37f430f8b90ed01124034973afc1a9d6a1f2d1bd682a7df0cc78ae549f3b32a4"],"state_sha256":"6cdb22f854ff81fc0d5e6080619c4cf0306b98979acc736abb0d21177aedcfb7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nGO+V9cRn77eZDU2Wb/rB7g0abyLBGe9ttLp9xQxk0RbTXIZ9jQ/tM2ZL1S0WmxtFU7n3pNSD+91i/ycws5UDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T21:56:07.192986Z","bundle_sha256":"a81e82b7133ec194c03bb9895e42405afba2c03d83b949a0771b3718cd823165"}}