{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:PBV4HB2SYHDD2EXJ2LPSIPZRIJ","short_pith_number":"pith:PBV4HB2S","canonical_record":{"source":{"id":"1903.01250","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-20T01:01:05Z","cross_cats_sorted":[],"title_canon_sha256":"9095df9bc3007380c6de85cb8d5cdbc0ea0358766d82cc74ff71aea6f676675e","abstract_canon_sha256":"74a0472518da7fb630264f6d63bcff6812846ead1cef8458b279d72c790fd2b8"},"schema_version":"1.0"},"canonical_sha256":"786bc38752c1c63d12e9d2df243f314277e902526c30872d530c13ad15339754","source":{"kind":"arxiv","id":"1903.01250","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.01250","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"arxiv_version","alias_value":"1903.01250v1","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.01250","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"pith_short_12","alias_value":"PBV4HB2SYHDD","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"PBV4HB2SYHDD2EXJ","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"PBV4HB2S","created_at":"2026-05-18T12:33:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:PBV4HB2SYHDD2EXJ2LPSIPZRIJ","target":"record","payload":{"canonical_record":{"source":{"id":"1903.01250","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-20T01:01:05Z","cross_cats_sorted":[],"title_canon_sha256":"9095df9bc3007380c6de85cb8d5cdbc0ea0358766d82cc74ff71aea6f676675e","abstract_canon_sha256":"74a0472518da7fb630264f6d63bcff6812846ead1cef8458b279d72c790fd2b8"},"schema_version":"1.0"},"canonical_sha256":"786bc38752c1c63d12e9d2df243f314277e902526c30872d530c13ad15339754","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:09.736115Z","signature_b64":"DxSKHcVn3ySGOVTI0GOCY95xwO5n+nNKmbu1/EeFix1GBx2R5rU0EPiGGdJopkrp25qNLX9fuQV4SeU+iowwCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"786bc38752c1c63d12e9d2df243f314277e902526c30872d530c13ad15339754","last_reissued_at":"2026-05-17T23:52:09.735431Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:09.735431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.01250","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":"2026-05-17T23:52:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3ckukPweInyhAOQl1GeDqlz1akmtm8cjwJPaVx9gvEHvBA5n9xfyhH1deF9GRwNPJxhRM5lLBxW8adlaobg8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T22:08:22.502974Z"},"content_sha256":"2aa1ab1a37fb1b59f09e952373faefae34b27dbd6cabe1190c83351a5fbe02da","schema_version":"1.0","event_id":"sha256:2aa1ab1a37fb1b59f09e952373faefae34b27dbd6cabe1190c83351a5fbe02da"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:PBV4HB2SYHDD2EXJ2LPSIPZRIJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Solvability of Nonlinear Differential Equations Subject to Generalized Boundary Conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Benjamin Freedman, Jes\\'us Rodr\\'iguez","submitted_at":"2019-02-20T01:01:05Z","abstract_excerpt":"In this paper, we analyze nonlinear differential equations subject to generalized boundary conditions. More specifically, we provide a framework from which we can provide conditions, which are straightforward to check, for the solvability of a large number of nonlinear scalar boundary value problems. We begin by giving our general strategy which involves the reformulation of our boundary value problem as an operator equation. We then proceed to establish our results and compare them to closely related previous work."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.01250","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":"2026-05-17T23:52:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u9MmfcUpB1+3e25yF5rNp1vJp4PyuOgfs/HtisqA7YE0cg4PGzzg/leYHoyxb2QMaCK5VZmhKxJ4r+kwEBiaCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T22:08:22.503305Z"},"content_sha256":"e3dc76f1db3e5d3abdaa3b7ce61db245628b079726c2ac7cc8dd066ac46ed311","schema_version":"1.0","event_id":"sha256:e3dc76f1db3e5d3abdaa3b7ce61db245628b079726c2ac7cc8dd066ac46ed311"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PBV4HB2SYHDD2EXJ2LPSIPZRIJ/bundle.json","state_url":"https://pith.science/pith/PBV4HB2SYHDD2EXJ2LPSIPZRIJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PBV4HB2SYHDD2EXJ2LPSIPZRIJ/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":"2026-06-25T22:08:22Z","links":{"resolver":"https://pith.science/pith/PBV4HB2SYHDD2EXJ2LPSIPZRIJ","bundle":"https://pith.science/pith/PBV4HB2SYHDD2EXJ2LPSIPZRIJ/bundle.json","state":"https://pith.science/pith/PBV4HB2SYHDD2EXJ2LPSIPZRIJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PBV4HB2SYHDD2EXJ2LPSIPZRIJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PBV4HB2SYHDD2EXJ2LPSIPZRIJ","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":"74a0472518da7fb630264f6d63bcff6812846ead1cef8458b279d72c790fd2b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-20T01:01:05Z","title_canon_sha256":"9095df9bc3007380c6de85cb8d5cdbc0ea0358766d82cc74ff71aea6f676675e"},"schema_version":"1.0","source":{"id":"1903.01250","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.01250","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"arxiv_version","alias_value":"1903.01250v1","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.01250","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"pith_short_12","alias_value":"PBV4HB2SYHDD","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"PBV4HB2SYHDD2EXJ","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"PBV4HB2S","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:e3dc76f1db3e5d3abdaa3b7ce61db245628b079726c2ac7cc8dd066ac46ed311","target":"graph","created_at":"2026-05-17T23:52:09Z","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 analyze nonlinear differential equations subject to generalized boundary conditions. More specifically, we provide a framework from which we can provide conditions, which are straightforward to check, for the solvability of a large number of nonlinear scalar boundary value problems. We begin by giving our general strategy which involves the reformulation of our boundary value problem as an operator equation. We then proceed to establish our results and compare them to closely related previous work.","authors_text":"Benjamin Freedman, Jes\\'us Rodr\\'iguez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-20T01:01:05Z","title":"On the Solvability of Nonlinear Differential Equations Subject to Generalized Boundary Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.01250","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":"sha256:2aa1ab1a37fb1b59f09e952373faefae34b27dbd6cabe1190c83351a5fbe02da","target":"record","created_at":"2026-05-17T23:52:09Z","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":"74a0472518da7fb630264f6d63bcff6812846ead1cef8458b279d72c790fd2b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-20T01:01:05Z","title_canon_sha256":"9095df9bc3007380c6de85cb8d5cdbc0ea0358766d82cc74ff71aea6f676675e"},"schema_version":"1.0","source":{"id":"1903.01250","kind":"arxiv","version":1}},"canonical_sha256":"786bc38752c1c63d12e9d2df243f314277e902526c30872d530c13ad15339754","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"786bc38752c1c63d12e9d2df243f314277e902526c30872d530c13ad15339754","first_computed_at":"2026-05-17T23:52:09.735431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:09.735431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DxSKHcVn3ySGOVTI0GOCY95xwO5n+nNKmbu1/EeFix1GBx2R5rU0EPiGGdJopkrp25qNLX9fuQV4SeU+iowwCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:09.736115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.01250","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2aa1ab1a37fb1b59f09e952373faefae34b27dbd6cabe1190c83351a5fbe02da","sha256:e3dc76f1db3e5d3abdaa3b7ce61db245628b079726c2ac7cc8dd066ac46ed311"],"state_sha256":"e0e3f8fb0c458f39cf10808fb3a7dc0d226e22ea29b4cb7e06c698ec94dc6e09"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vDy1tWeJ0/yPlYXUqMzRRp+LtoTnN6EHJgLB8EnG8BDETJprzPjeks3do5Lk0DbVNvnyJQd9UMEVxbmXM10RDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T22:08:22.505161Z","bundle_sha256":"2e2e3e26eba8faec2e8cded76b060b2fe80933e0ae4a4bb30fe3df95120d0127"}}