{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CDQVTBKPXSP3HKDVWNW3RSVQSZ","short_pith_number":"pith:CDQVTBKP","canonical_record":{"source":{"id":"1712.06506","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-12-18T16:37:22Z","cross_cats_sorted":[],"title_canon_sha256":"5037a1d6a13ecc171d110c2ead85edb35a9328b71e587326e8c658de57854daf","abstract_canon_sha256":"9e3bbe2991d98772b6c3d26c061b7641f43c1232f318443a8d1829df21358bd3"},"schema_version":"1.0"},"canonical_sha256":"10e159854fbc9fb3a875b36db8cab096574f1ea960ed48f3868a27f10566f643","source":{"kind":"arxiv","id":"1712.06506","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.06506","created_at":"2026-05-18T00:27:47Z"},{"alias_kind":"arxiv_version","alias_value":"1712.06506v1","created_at":"2026-05-18T00:27:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.06506","created_at":"2026-05-18T00:27:47Z"},{"alias_kind":"pith_short_12","alias_value":"CDQVTBKPXSP3","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CDQVTBKPXSP3HKDV","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CDQVTBKP","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CDQVTBKPXSP3HKDVWNW3RSVQSZ","target":"record","payload":{"canonical_record":{"source":{"id":"1712.06506","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-12-18T16:37:22Z","cross_cats_sorted":[],"title_canon_sha256":"5037a1d6a13ecc171d110c2ead85edb35a9328b71e587326e8c658de57854daf","abstract_canon_sha256":"9e3bbe2991d98772b6c3d26c061b7641f43c1232f318443a8d1829df21358bd3"},"schema_version":"1.0"},"canonical_sha256":"10e159854fbc9fb3a875b36db8cab096574f1ea960ed48f3868a27f10566f643","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:47.661208Z","signature_b64":"uRYpjnNZhCsELuI42b8DH/+X62s3b+GL67xs/hMinB/J+WZ1qMSLEAAgHvu8d/DLNB70goGDKCfnIWSjFhzcDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10e159854fbc9fb3a875b36db8cab096574f1ea960ed48f3868a27f10566f643","last_reissued_at":"2026-05-18T00:27:47.660816Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:47.660816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.06506","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":"2026-05-18T00:27:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pSfZzXs+gPz18SpyAH+pFBOxKnqgS6gIEPWNPppALBcHtBVETAIBKr6/e+yp2OnHOBfT1KvaqoLBt8T7nZhnBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:15:06.758992Z"},"content_sha256":"e0645b246ba7bad5e946507337c1df1d9a34cf98f5cfb3ac9c266abf4015980e","schema_version":"1.0","event_id":"sha256:e0645b246ba7bad5e946507337c1df1d9a34cf98f5cfb3ac9c266abf4015980e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CDQVTBKPXSP3HKDVWNW3RSVQSZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new fractional derivative of variable order with non-singular kernel and fractional differential equations","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":"2017-12-18T16:37:22Z","abstract_excerpt":"In this paper, we introduce two new non-singular kernel fractional derivatives and present a class of other fractional derivatives derived from the new formulations. We present some important results of uniformly convergent sequences of continuous functions, in particular the Comparison's principle, and others that allow, the study of the limitation of fractional nonlinear differential equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06506","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":"2026-05-18T00:27:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q3wb1/8nYasmJwskJ2Ka6tSFJpxtKRV3YKDxDWGvhqdu2wdUSRAATi9CVaJI0GNMVGTExZHBFiun8Y4i+7peBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:15:06.759346Z"},"content_sha256":"2af1609af6c424c25b5148a3215c121916cca799d45975ea0f4c57dbefa0f1c5","schema_version":"1.0","event_id":"sha256:2af1609af6c424c25b5148a3215c121916cca799d45975ea0f4c57dbefa0f1c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CDQVTBKPXSP3HKDVWNW3RSVQSZ/bundle.json","state_url":"https://pith.science/pith/CDQVTBKPXSP3HKDVWNW3RSVQSZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CDQVTBKPXSP3HKDVWNW3RSVQSZ/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":"2026-06-03T15:15:06Z","links":{"resolver":"https://pith.science/pith/CDQVTBKPXSP3HKDVWNW3RSVQSZ","bundle":"https://pith.science/pith/CDQVTBKPXSP3HKDVWNW3RSVQSZ/bundle.json","state":"https://pith.science/pith/CDQVTBKPXSP3HKDVWNW3RSVQSZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CDQVTBKPXSP3HKDVWNW3RSVQSZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CDQVTBKPXSP3HKDVWNW3RSVQSZ","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":"9e3bbe2991d98772b6c3d26c061b7641f43c1232f318443a8d1829df21358bd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-12-18T16:37:22Z","title_canon_sha256":"5037a1d6a13ecc171d110c2ead85edb35a9328b71e587326e8c658de57854daf"},"schema_version":"1.0","source":{"id":"1712.06506","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.06506","created_at":"2026-05-18T00:27:47Z"},{"alias_kind":"arxiv_version","alias_value":"1712.06506v1","created_at":"2026-05-18T00:27:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.06506","created_at":"2026-05-18T00:27:47Z"},{"alias_kind":"pith_short_12","alias_value":"CDQVTBKPXSP3","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CDQVTBKPXSP3HKDV","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CDQVTBKP","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:2af1609af6c424c25b5148a3215c121916cca799d45975ea0f4c57dbefa0f1c5","target":"graph","created_at":"2026-05-18T00:27:47Z","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":"In this paper, we introduce two new non-singular kernel fractional derivatives and present a class of other fractional derivatives derived from the new formulations. We present some important results of uniformly convergent sequences of continuous functions, in particular the Comparison's principle, and others that allow, the study of the limitation of fractional nonlinear differential equations.","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":"2017-12-18T16:37:22Z","title":"A new fractional derivative of variable order with non-singular kernel and fractional differential equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06506","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:e0645b246ba7bad5e946507337c1df1d9a34cf98f5cfb3ac9c266abf4015980e","target":"record","created_at":"2026-05-18T00:27:47Z","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":"9e3bbe2991d98772b6c3d26c061b7641f43c1232f318443a8d1829df21358bd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-12-18T16:37:22Z","title_canon_sha256":"5037a1d6a13ecc171d110c2ead85edb35a9328b71e587326e8c658de57854daf"},"schema_version":"1.0","source":{"id":"1712.06506","kind":"arxiv","version":1}},"canonical_sha256":"10e159854fbc9fb3a875b36db8cab096574f1ea960ed48f3868a27f10566f643","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10e159854fbc9fb3a875b36db8cab096574f1ea960ed48f3868a27f10566f643","first_computed_at":"2026-05-18T00:27:47.660816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:47.660816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uRYpjnNZhCsELuI42b8DH/+X62s3b+GL67xs/hMinB/J+WZ1qMSLEAAgHvu8d/DLNB70goGDKCfnIWSjFhzcDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:47.661208Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.06506","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0645b246ba7bad5e946507337c1df1d9a34cf98f5cfb3ac9c266abf4015980e","sha256:2af1609af6c424c25b5148a3215c121916cca799d45975ea0f4c57dbefa0f1c5"],"state_sha256":"975e0a96ff8e67a41400f5057b329415686fab859d818ee4d49e1e59f45a828b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wx4Y5raZFX2OSRs6n9fDpDh7Ep6eoiTazEBfiHi3pluN+0heDEERaNUUecKOx0pPhPNVYoF5xuO3mKKf0z3CAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T15:15:06.762089Z","bundle_sha256":"01c7de46c6edd43224d996cfd89630613ebfe76df3e13a5ffe7e580704170d5d"}}