{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:RY4WBSW3HMHN776B37Z3QM44WM","short_pith_number":"pith:RY4WBSW3","canonical_record":{"source":{"id":"1710.07329","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-19T19:33:07Z","cross_cats_sorted":[],"title_canon_sha256":"6d5f46f5dcd9a169c8e71f5122b6996d0e16380abdc05788b38f05de0c4eac7a","abstract_canon_sha256":"6cba27fe3e1612bb0c80731d99ba3dd837f48586253d70aaf41ff696c2a08778"},"schema_version":"1.0"},"canonical_sha256":"8e3960cadb3b0edfffc1dff3b8339cb3267197f78433b85a0fc0fa9f959744f0","source":{"kind":"arxiv","id":"1710.07329","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07329","created_at":"2026-05-18T00:32:25Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07329v1","created_at":"2026-05-18T00:32:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07329","created_at":"2026-05-18T00:32:25Z"},{"alias_kind":"pith_short_12","alias_value":"RY4WBSW3HMHN","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"RY4WBSW3HMHN776B","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"RY4WBSW3","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:RY4WBSW3HMHN776B37Z3QM44WM","target":"record","payload":{"canonical_record":{"source":{"id":"1710.07329","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-19T19:33:07Z","cross_cats_sorted":[],"title_canon_sha256":"6d5f46f5dcd9a169c8e71f5122b6996d0e16380abdc05788b38f05de0c4eac7a","abstract_canon_sha256":"6cba27fe3e1612bb0c80731d99ba3dd837f48586253d70aaf41ff696c2a08778"},"schema_version":"1.0"},"canonical_sha256":"8e3960cadb3b0edfffc1dff3b8339cb3267197f78433b85a0fc0fa9f959744f0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:25.146152Z","signature_b64":"eZ3B9zevnFFPH8zW6R2wb89aBqW641Olv4EbSRHN3V99i31FAffrME9j7rmZCQM0K3QHlIIoFn3WE+oCTPmAAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e3960cadb3b0edfffc1dff3b8339cb3267197f78433b85a0fc0fa9f959744f0","last_reissued_at":"2026-05-18T00:32:25.145460Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:25.145460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.07329","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":"2026-05-18T00:32:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R18bqSOSlnHNWIynz5rwVrHJUQGWifUPqDW19GdOmqARVKd25l7Oou0DGgiJ7yBD31BG801CYbgI7h7VzGAgCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:23:49.315111Z"},"content_sha256":"d3cc34927c0768572830b9c37d6c97d2cca3c7cb93a95b09d2a7092bd4de2f5b","schema_version":"1.0","event_id":"sha256:d3cc34927c0768572830b9c37d6c97d2cca3c7cb93a95b09d2a7092bd4de2f5b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:RY4WBSW3HMHN776B37Z3QM44WM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andrea Pinamonti, Enrico Valdinoci, Serena Dipierro","submitted_at":"2017-10-19T19:33:07Z","abstract_excerpt":"We present a geometric formula of Poincar\\'e type, which is inspired by a classical work of Sternberg and Zumbrun, and we provide a classification result of stable solutions of linear elliptic problems with nonlinear Robin conditions on Riemannian manifolds with nonnegative Ricci curvature.\n  The result obtained here is a refinement of a result recently established by Bandle, Mastrolia, Monticelli and Punzo."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07329","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":"2026-05-18T00:32:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9A7ZdrOwH/jhrv7GseDMZoYicalF4Ny/fCJy1R7JtwnlqP0QRco/qcJjHTtKr5HyBHGx4Zz3Hs9niGlMz6FoBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:23:49.315778Z"},"content_sha256":"253597bc6f8c2fbf95c5bb745350cb912f947890e0ed65098569101895a31687","schema_version":"1.0","event_id":"sha256:253597bc6f8c2fbf95c5bb745350cb912f947890e0ed65098569101895a31687"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RY4WBSW3HMHN776B37Z3QM44WM/bundle.json","state_url":"https://pith.science/pith/RY4WBSW3HMHN776B37Z3QM44WM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RY4WBSW3HMHN776B37Z3QM44WM/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":"2026-06-02T13:23:49Z","links":{"resolver":"https://pith.science/pith/RY4WBSW3HMHN776B37Z3QM44WM","bundle":"https://pith.science/pith/RY4WBSW3HMHN776B37Z3QM44WM/bundle.json","state":"https://pith.science/pith/RY4WBSW3HMHN776B37Z3QM44WM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RY4WBSW3HMHN776B37Z3QM44WM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RY4WBSW3HMHN776B37Z3QM44WM","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":"6cba27fe3e1612bb0c80731d99ba3dd837f48586253d70aaf41ff696c2a08778","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-19T19:33:07Z","title_canon_sha256":"6d5f46f5dcd9a169c8e71f5122b6996d0e16380abdc05788b38f05de0c4eac7a"},"schema_version":"1.0","source":{"id":"1710.07329","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07329","created_at":"2026-05-18T00:32:25Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07329v1","created_at":"2026-05-18T00:32:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07329","created_at":"2026-05-18T00:32:25Z"},{"alias_kind":"pith_short_12","alias_value":"RY4WBSW3HMHN","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"RY4WBSW3HMHN776B","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"RY4WBSW3","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:253597bc6f8c2fbf95c5bb745350cb912f947890e0ed65098569101895a31687","target":"graph","created_at":"2026-05-18T00:32:25Z","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 present a geometric formula of Poincar\\'e type, which is inspired by a classical work of Sternberg and Zumbrun, and we provide a classification result of stable solutions of linear elliptic problems with nonlinear Robin conditions on Riemannian manifolds with nonnegative Ricci curvature.\n  The result obtained here is a refinement of a result recently established by Bandle, Mastrolia, Monticelli and Punzo.","authors_text":"Andrea Pinamonti, Enrico Valdinoci, Serena Dipierro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-19T19:33:07Z","title":"Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07329","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:d3cc34927c0768572830b9c37d6c97d2cca3c7cb93a95b09d2a7092bd4de2f5b","target":"record","created_at":"2026-05-18T00:32:25Z","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":"6cba27fe3e1612bb0c80731d99ba3dd837f48586253d70aaf41ff696c2a08778","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-19T19:33:07Z","title_canon_sha256":"6d5f46f5dcd9a169c8e71f5122b6996d0e16380abdc05788b38f05de0c4eac7a"},"schema_version":"1.0","source":{"id":"1710.07329","kind":"arxiv","version":1}},"canonical_sha256":"8e3960cadb3b0edfffc1dff3b8339cb3267197f78433b85a0fc0fa9f959744f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e3960cadb3b0edfffc1dff3b8339cb3267197f78433b85a0fc0fa9f959744f0","first_computed_at":"2026-05-18T00:32:25.145460Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:25.145460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eZ3B9zevnFFPH8zW6R2wb89aBqW641Olv4EbSRHN3V99i31FAffrME9j7rmZCQM0K3QHlIIoFn3WE+oCTPmAAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:25.146152Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.07329","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3cc34927c0768572830b9c37d6c97d2cca3c7cb93a95b09d2a7092bd4de2f5b","sha256:253597bc6f8c2fbf95c5bb745350cb912f947890e0ed65098569101895a31687"],"state_sha256":"e99a8a6c44c945994a2b47180c1280afe901643039e808ae6635a845a3fe2920"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xkcjDEeL5mtYjyGfYL3e0uI/9fT4/YBrfL5s7c15PdbeS7dZPJcRDLWCwINtkRVc1L882T3wLFmtVZeszWJkCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T13:23:49.318729Z","bundle_sha256":"2d1e1e40bee9b978aded400ba74cc70771b3c7992551e049eea22fc40c61d632"}}