{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RAY2FS3QH6VAVS5N57LDVJFZMJ","short_pith_number":"pith:RAY2FS3Q","canonical_record":{"source":{"id":"1404.1390","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-04-04T20:48:04Z","cross_cats_sorted":[],"title_canon_sha256":"fd6cc12b85729cd438723e264e31cc74a992f10b660474dd3df9bf3d5b3578b7","abstract_canon_sha256":"0f89328b055ad4ae06ecb0421e921618e0e2bffda516130c7228f1698f929d13"},"schema_version":"1.0"},"canonical_sha256":"8831a2cb703faa0acbadefd63aa4b96243cda0dbc371deeceb7a49dbba879636","source":{"kind":"arxiv","id":"1404.1390","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1390","created_at":"2026-05-18T01:18:49Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1390v5","created_at":"2026-05-18T01:18:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1390","created_at":"2026-05-18T01:18:49Z"},{"alias_kind":"pith_short_12","alias_value":"RAY2FS3QH6VA","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RAY2FS3QH6VAVS5N","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RAY2FS3Q","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RAY2FS3QH6VAVS5N57LDVJFZMJ","target":"record","payload":{"canonical_record":{"source":{"id":"1404.1390","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-04-04T20:48:04Z","cross_cats_sorted":[],"title_canon_sha256":"fd6cc12b85729cd438723e264e31cc74a992f10b660474dd3df9bf3d5b3578b7","abstract_canon_sha256":"0f89328b055ad4ae06ecb0421e921618e0e2bffda516130c7228f1698f929d13"},"schema_version":"1.0"},"canonical_sha256":"8831a2cb703faa0acbadefd63aa4b96243cda0dbc371deeceb7a49dbba879636","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:49.579530Z","signature_b64":"XFYD8/XKkhlx5W3csG9m3UWCbImSZ8Jw2lBowOm7x/AmQbeeXum1EtrODSv206DlRYTmBqWaK9aeTebUORxVCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8831a2cb703faa0acbadefd63aa4b96243cda0dbc371deeceb7a49dbba879636","last_reissued_at":"2026-05-18T01:18:49.578858Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:49.578858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.1390","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:18:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Md5tc1m1H+NP7niTK26XDZhMs/5FxG/N+cyYRoiF54B85NmyZvYJCxSohalwDgI06WoxohmwfoIHszGQMU5sCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:51:36.410225Z"},"content_sha256":"d3e552a79b941d74a1d38b3fb9b401d26983c3d5f6b6e5a0eba28d675ce901ed","schema_version":"1.0","event_id":"sha256:d3e552a79b941d74a1d38b3fb9b401d26983c3d5f6b6e5a0eba28d675ce901ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RAY2FS3QH6VAVS5N57LDVJFZMJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-trivial solutions of local and non-local Neumann boundary-value problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"F. Adrian F. Tojo, Gennaro Infante, Paolamaria Pietramala","submitted_at":"2014-04-04T20:48:04Z","abstract_excerpt":"We prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for perturbed Hammerstein integral equations. Our approach is topological and relies on the classical fixed point index. Some of the criteria involve a comparison with the spectral radius of some related linear operators. We apply our results to some boundary value problems with local and nonlocal boundary conditions of Neumann type. We illustrate in some examples the methodologies used."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1390","kind":"arxiv","version":5},"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":"2026-05-18T01:18:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zAZwvEsPDwSRQz68734i+jPCuiI1wbnAQpAhyvI4oqQZkHOoQzq8tnNEIku04UcB/nvmuPRmhAOuqBEHrgnKAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:51:36.410879Z"},"content_sha256":"65958b19158600d79cd80c4cc122f7e09642b9fe4835fe61a1de06d199a47a77","schema_version":"1.0","event_id":"sha256:65958b19158600d79cd80c4cc122f7e09642b9fe4835fe61a1de06d199a47a77"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RAY2FS3QH6VAVS5N57LDVJFZMJ/bundle.json","state_url":"https://pith.science/pith/RAY2FS3QH6VAVS5N57LDVJFZMJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RAY2FS3QH6VAVS5N57LDVJFZMJ/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":"2026-05-31T12:51:36Z","links":{"resolver":"https://pith.science/pith/RAY2FS3QH6VAVS5N57LDVJFZMJ","bundle":"https://pith.science/pith/RAY2FS3QH6VAVS5N57LDVJFZMJ/bundle.json","state":"https://pith.science/pith/RAY2FS3QH6VAVS5N57LDVJFZMJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RAY2FS3QH6VAVS5N57LDVJFZMJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RAY2FS3QH6VAVS5N57LDVJFZMJ","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":"0f89328b055ad4ae06ecb0421e921618e0e2bffda516130c7228f1698f929d13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-04-04T20:48:04Z","title_canon_sha256":"fd6cc12b85729cd438723e264e31cc74a992f10b660474dd3df9bf3d5b3578b7"},"schema_version":"1.0","source":{"id":"1404.1390","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1390","created_at":"2026-05-18T01:18:49Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1390v5","created_at":"2026-05-18T01:18:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1390","created_at":"2026-05-18T01:18:49Z"},{"alias_kind":"pith_short_12","alias_value":"RAY2FS3QH6VA","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RAY2FS3QH6VAVS5N","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RAY2FS3Q","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:65958b19158600d79cd80c4cc122f7e09642b9fe4835fe61a1de06d199a47a77","target":"graph","created_at":"2026-05-18T01:18:49Z","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 new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for perturbed Hammerstein integral equations. Our approach is topological and relies on the classical fixed point index. Some of the criteria involve a comparison with the spectral radius of some related linear operators. We apply our results to some boundary value problems with local and nonlocal boundary conditions of Neumann type. We illustrate in some examples the methodologies used.","authors_text":"F. Adrian F. Tojo, Gennaro Infante, Paolamaria Pietramala","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-04-04T20:48:04Z","title":"Non-trivial solutions of local and non-local Neumann boundary-value problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1390","kind":"arxiv","version":5},"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:d3e552a79b941d74a1d38b3fb9b401d26983c3d5f6b6e5a0eba28d675ce901ed","target":"record","created_at":"2026-05-18T01:18:49Z","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":"0f89328b055ad4ae06ecb0421e921618e0e2bffda516130c7228f1698f929d13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-04-04T20:48:04Z","title_canon_sha256":"fd6cc12b85729cd438723e264e31cc74a992f10b660474dd3df9bf3d5b3578b7"},"schema_version":"1.0","source":{"id":"1404.1390","kind":"arxiv","version":5}},"canonical_sha256":"8831a2cb703faa0acbadefd63aa4b96243cda0dbc371deeceb7a49dbba879636","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8831a2cb703faa0acbadefd63aa4b96243cda0dbc371deeceb7a49dbba879636","first_computed_at":"2026-05-18T01:18:49.578858Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:49.578858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XFYD8/XKkhlx5W3csG9m3UWCbImSZ8Jw2lBowOm7x/AmQbeeXum1EtrODSv206DlRYTmBqWaK9aeTebUORxVCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:49.579530Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.1390","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3e552a79b941d74a1d38b3fb9b401d26983c3d5f6b6e5a0eba28d675ce901ed","sha256:65958b19158600d79cd80c4cc122f7e09642b9fe4835fe61a1de06d199a47a77"],"state_sha256":"6e5f5276e270d2f1f1d4c9932b90e1f1f680b6e411dddd1bd322e29a80b43eb8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NUDtIj2/j+vaFd5NI7RulRKOM+QOtoPPKC9vIjKpLndQ3A+EmXT65XnXOwG7KuhVTHfgjvxQFc21nhPZyOecDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:51:36.414458Z","bundle_sha256":"831fc4ecb019780c582645c3217926eed0d4ea35f0f2a3a710fff2ee9c2a2657"}}