{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:GX3DIAO6H7FR7G3O346VCOBWOI","short_pith_number":"pith:GX3DIAO6","canonical_record":{"source":{"id":"1607.03662","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-13T09:56:49Z","cross_cats_sorted":[],"title_canon_sha256":"066835a77ebbbc7122e919832c6deccb403de51d7934c7b7093f36ebcea7d082","abstract_canon_sha256":"117c833fdc331041d246317570121bd1da17b5f32da4b665970446e7b37465f3"},"schema_version":"1.0"},"canonical_sha256":"35f63401de3fcb1f9b6edf3d5138367223a6521eb23795d0f01da181b9493c84","source":{"kind":"arxiv","id":"1607.03662","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.03662","created_at":"2026-05-18T01:11:07Z"},{"alias_kind":"arxiv_version","alias_value":"1607.03662v1","created_at":"2026-05-18T01:11:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.03662","created_at":"2026-05-18T01:11:07Z"},{"alias_kind":"pith_short_12","alias_value":"GX3DIAO6H7FR","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GX3DIAO6H7FR7G3O","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GX3DIAO6","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:GX3DIAO6H7FR7G3O346VCOBWOI","target":"record","payload":{"canonical_record":{"source":{"id":"1607.03662","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-13T09:56:49Z","cross_cats_sorted":[],"title_canon_sha256":"066835a77ebbbc7122e919832c6deccb403de51d7934c7b7093f36ebcea7d082","abstract_canon_sha256":"117c833fdc331041d246317570121bd1da17b5f32da4b665970446e7b37465f3"},"schema_version":"1.0"},"canonical_sha256":"35f63401de3fcb1f9b6edf3d5138367223a6521eb23795d0f01da181b9493c84","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:07.430469Z","signature_b64":"m5oXIaQtEeGlE3Oi382/iYPnrpz4eqkBAVAMUm40v2Q/orfo/BklslhFngWq65akDBNHq1pmFa03WBZzw++NDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35f63401de3fcb1f9b6edf3d5138367223a6521eb23795d0f01da181b9493c84","last_reissued_at":"2026-05-18T01:11:07.429756Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:07.429756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.03662","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":"2026-05-18T01:11:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3buPtCaUzlTJMeDU5eN6LYpWknNwoPcW3lj4kVOs8wnKdnHFvNmC41M0wDzglRuzNUxdOn/DULVPSNP+4YSvAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T17:03:43.633797Z"},"content_sha256":"19884c81f6da0ed8f53ad3f3ef73f1497ddfe5efd265ddafaaedad69a83d8895","schema_version":"1.0","event_id":"sha256:19884c81f6da0ed8f53ad3f3ef73f1497ddfe5efd265ddafaaedad69a83d8895"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:GX3DIAO6H7FR7G3O346VCOBWOI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Concave-convex nonlinearities for some nonlinear fractional equations involving the Bessel operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Simone Secchi","submitted_at":"2016-07-13T09:56:49Z","abstract_excerpt":"We prove some existence results for a class of nonlinear fractional equations driven by a nonlocal operator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.03662","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":"2026-05-18T01:11:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1omERP9BkX2zcIWwjrGhu6qsPN43fwbQdL8t0Yj2aPe3CN/bwTr8Opjvw4F5TpzL1UyNVkc7POfZZnpohRCABA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T17:03:43.634132Z"},"content_sha256":"95d7bb9f23a7bb2cddcfac9b329193b70c4d4ee41f8de1a7d7288a9ce911465d","schema_version":"1.0","event_id":"sha256:95d7bb9f23a7bb2cddcfac9b329193b70c4d4ee41f8de1a7d7288a9ce911465d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GX3DIAO6H7FR7G3O346VCOBWOI/bundle.json","state_url":"https://pith.science/pith/GX3DIAO6H7FR7G3O346VCOBWOI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GX3DIAO6H7FR7G3O346VCOBWOI/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":"2026-07-01T17:03:43Z","links":{"resolver":"https://pith.science/pith/GX3DIAO6H7FR7G3O346VCOBWOI","bundle":"https://pith.science/pith/GX3DIAO6H7FR7G3O346VCOBWOI/bundle.json","state":"https://pith.science/pith/GX3DIAO6H7FR7G3O346VCOBWOI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GX3DIAO6H7FR7G3O346VCOBWOI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GX3DIAO6H7FR7G3O346VCOBWOI","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":"117c833fdc331041d246317570121bd1da17b5f32da4b665970446e7b37465f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-13T09:56:49Z","title_canon_sha256":"066835a77ebbbc7122e919832c6deccb403de51d7934c7b7093f36ebcea7d082"},"schema_version":"1.0","source":{"id":"1607.03662","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.03662","created_at":"2026-05-18T01:11:07Z"},{"alias_kind":"arxiv_version","alias_value":"1607.03662v1","created_at":"2026-05-18T01:11:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.03662","created_at":"2026-05-18T01:11:07Z"},{"alias_kind":"pith_short_12","alias_value":"GX3DIAO6H7FR","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GX3DIAO6H7FR7G3O","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GX3DIAO6","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:95d7bb9f23a7bb2cddcfac9b329193b70c4d4ee41f8de1a7d7288a9ce911465d","target":"graph","created_at":"2026-05-18T01:11:07Z","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 prove some existence results for a class of nonlinear fractional equations driven by a nonlocal operator.","authors_text":"Simone Secchi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-13T09:56:49Z","title":"Concave-convex nonlinearities for some nonlinear fractional equations involving the Bessel operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.03662","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":"sha256:19884c81f6da0ed8f53ad3f3ef73f1497ddfe5efd265ddafaaedad69a83d8895","target":"record","created_at":"2026-05-18T01:11:07Z","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":"117c833fdc331041d246317570121bd1da17b5f32da4b665970446e7b37465f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-13T09:56:49Z","title_canon_sha256":"066835a77ebbbc7122e919832c6deccb403de51d7934c7b7093f36ebcea7d082"},"schema_version":"1.0","source":{"id":"1607.03662","kind":"arxiv","version":1}},"canonical_sha256":"35f63401de3fcb1f9b6edf3d5138367223a6521eb23795d0f01da181b9493c84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35f63401de3fcb1f9b6edf3d5138367223a6521eb23795d0f01da181b9493c84","first_computed_at":"2026-05-18T01:11:07.429756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:07.429756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m5oXIaQtEeGlE3Oi382/iYPnrpz4eqkBAVAMUm40v2Q/orfo/BklslhFngWq65akDBNHq1pmFa03WBZzw++NDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:07.430469Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.03662","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19884c81f6da0ed8f53ad3f3ef73f1497ddfe5efd265ddafaaedad69a83d8895","sha256:95d7bb9f23a7bb2cddcfac9b329193b70c4d4ee41f8de1a7d7288a9ce911465d"],"state_sha256":"cf50f323f03232af49f6efce6d18be5e85756e42e1689a0c1afd2a86a19f4f44"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Alp4SN7dbkvcET4vHROknDgPGBWkS98ipGWq5V7JEQspbdh/r6zUqB6acFiPbgtoV61M0/kkQzRawqvtmnXDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T17:03:43.636193Z","bundle_sha256":"b1f1b3aaa9825b8334a696840bc584b04212341393e4172f8f9fbf6d1e15c364"}}