{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:WMGFDRJRZMHMK4I4VLZXV7OD3O","short_pith_number":"pith:WMGFDRJR","canonical_record":{"source":{"id":"1303.0150","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-03-01T11:39:46Z","cross_cats_sorted":[],"title_canon_sha256":"a40c525a61f6e65c4a61151d12b525e4dd2f9bc231288fe3b3f6d41cc2e2c8b4","abstract_canon_sha256":"6e88f6fce07fb110c6731fc8a2a5e8a9f7f9f98786215f52bb78813baec42e3d"},"schema_version":"1.0"},"canonical_sha256":"b30c51c531cb0ec5711caaf37afdc3dba36c5c064ec51fd72053b7daab26cc64","source":{"kind":"arxiv","id":"1303.0150","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0150","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0150v2","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0150","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"pith_short_12","alias_value":"WMGFDRJRZMHM","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WMGFDRJRZMHMK4I4","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WMGFDRJR","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:WMGFDRJRZMHMK4I4VLZXV7OD3O","target":"record","payload":{"canonical_record":{"source":{"id":"1303.0150","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-03-01T11:39:46Z","cross_cats_sorted":[],"title_canon_sha256":"a40c525a61f6e65c4a61151d12b525e4dd2f9bc231288fe3b3f6d41cc2e2c8b4","abstract_canon_sha256":"6e88f6fce07fb110c6731fc8a2a5e8a9f7f9f98786215f52bb78813baec42e3d"},"schema_version":"1.0"},"canonical_sha256":"b30c51c531cb0ec5711caaf37afdc3dba36c5c064ec51fd72053b7daab26cc64","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:35.885569Z","signature_b64":"DhnE0834GlPDAeSTkfenHwEf4l+RZGdMdQYVmc41XW/NBKmFL86e8TttSMlg9sHILKXcSgNsGXXVLEY/J/bOAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b30c51c531cb0ec5711caaf37afdc3dba36c5c064ec51fd72053b7daab26cc64","last_reissued_at":"2026-05-18T03:11:35.885040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:35.885040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.0150","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:11:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LvMbDCBskiWXg93DYA5Jrr/bBetPweS+BSQ6SanvxeT52DlQBlM/xyQrz5sr7wBIBTbfYI2xYftpK6qm5eLSAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:36:21.911964Z"},"content_sha256":"42d70a07d75e23f4350a81c2091fcb8a8a3acfa5b131cf1b4065eb4a654e3203","schema_version":"1.0","event_id":"sha256:42d70a07d75e23f4350a81c2091fcb8a8a3acfa5b131cf1b4065eb4a654e3203"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:WMGFDRJRZMHMK4I4VLZXV7OD3O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence and uniqueness of positive solutions of boundary-value problems for fractional differential equations with p-Laplacian operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Erdo\\u{g}an \\c{S}en, Jong Jin Seo, Kamil Oru\\c{c}o\\u{g}lu, Mehmet Acikgoz, Serkan Araci","submitted_at":"2013-03-01T11:39:46Z","abstract_excerpt":"In this article, we consider the boundary-value problem of nonlinear fractional differential equation with p-Laplacian operator. By the properties of Green function and Schauder fixed point theorem, several existence and nonexistence results for positive solutions, in terms of two parameters are obtained. The uniqueness of positive solution on these parameters is also studied."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0150","kind":"arxiv","version":2},"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":"2026-05-18T03:11:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/xQq0Z3Ryyo2qmY2ISTsxpWUYUJ5SpGgr5HO97AumbAGh3hfBdHwi2E5S/MX4xH/7K7w6Kn9xBQKLmOdjxA0DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:36:21.912309Z"},"content_sha256":"0c2c8e8b08afb9e34dc488c8dbc45a3ea7276558d7458a4ba2bd3eaadfe1c968","schema_version":"1.0","event_id":"sha256:0c2c8e8b08afb9e34dc488c8dbc45a3ea7276558d7458a4ba2bd3eaadfe1c968"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WMGFDRJRZMHMK4I4VLZXV7OD3O/bundle.json","state_url":"https://pith.science/pith/WMGFDRJRZMHMK4I4VLZXV7OD3O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WMGFDRJRZMHMK4I4VLZXV7OD3O/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":"2026-06-03T02:36:21Z","links":{"resolver":"https://pith.science/pith/WMGFDRJRZMHMK4I4VLZXV7OD3O","bundle":"https://pith.science/pith/WMGFDRJRZMHMK4I4VLZXV7OD3O/bundle.json","state":"https://pith.science/pith/WMGFDRJRZMHMK4I4VLZXV7OD3O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WMGFDRJRZMHMK4I4VLZXV7OD3O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WMGFDRJRZMHMK4I4VLZXV7OD3O","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":"6e88f6fce07fb110c6731fc8a2a5e8a9f7f9f98786215f52bb78813baec42e3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-03-01T11:39:46Z","title_canon_sha256":"a40c525a61f6e65c4a61151d12b525e4dd2f9bc231288fe3b3f6d41cc2e2c8b4"},"schema_version":"1.0","source":{"id":"1303.0150","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0150","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0150v2","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0150","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"pith_short_12","alias_value":"WMGFDRJRZMHM","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WMGFDRJRZMHMK4I4","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WMGFDRJR","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:0c2c8e8b08afb9e34dc488c8dbc45a3ea7276558d7458a4ba2bd3eaadfe1c968","target":"graph","created_at":"2026-05-18T03:11:35Z","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 article, we consider the boundary-value problem of nonlinear fractional differential equation with p-Laplacian operator. By the properties of Green function and Schauder fixed point theorem, several existence and nonexistence results for positive solutions, in terms of two parameters are obtained. The uniqueness of positive solution on these parameters is also studied.","authors_text":"Erdo\\u{g}an \\c{S}en, Jong Jin Seo, Kamil Oru\\c{c}o\\u{g}lu, Mehmet Acikgoz, Serkan Araci","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-03-01T11:39:46Z","title":"Existence and uniqueness of positive solutions of boundary-value problems for fractional differential equations with p-Laplacian operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0150","kind":"arxiv","version":2},"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":"sha256:42d70a07d75e23f4350a81c2091fcb8a8a3acfa5b131cf1b4065eb4a654e3203","target":"record","created_at":"2026-05-18T03:11:35Z","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":"6e88f6fce07fb110c6731fc8a2a5e8a9f7f9f98786215f52bb78813baec42e3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-03-01T11:39:46Z","title_canon_sha256":"a40c525a61f6e65c4a61151d12b525e4dd2f9bc231288fe3b3f6d41cc2e2c8b4"},"schema_version":"1.0","source":{"id":"1303.0150","kind":"arxiv","version":2}},"canonical_sha256":"b30c51c531cb0ec5711caaf37afdc3dba36c5c064ec51fd72053b7daab26cc64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b30c51c531cb0ec5711caaf37afdc3dba36c5c064ec51fd72053b7daab26cc64","first_computed_at":"2026-05-18T03:11:35.885040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:35.885040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DhnE0834GlPDAeSTkfenHwEf4l+RZGdMdQYVmc41XW/NBKmFL86e8TttSMlg9sHILKXcSgNsGXXVLEY/J/bOAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:35.885569Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.0150","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42d70a07d75e23f4350a81c2091fcb8a8a3acfa5b131cf1b4065eb4a654e3203","sha256:0c2c8e8b08afb9e34dc488c8dbc45a3ea7276558d7458a4ba2bd3eaadfe1c968"],"state_sha256":"8f60ce8718bd6c951aea8194cf07e92bfc0bea2e4a01706c3f22cb472f6bbf2b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Qr7m0Ke2yu48/KwW3fBDwkjdBt6CftNJNHG4cm4FfeE1pmmpW36aXpXZb6ljFnISRsTGPPTAXioOKANgjOgDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T02:36:21.914274Z","bundle_sha256":"6fc05d4c48c291eb34b5e12bff03154a032e86de7501c3b2a50894a031b9dbf5"}}