{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:U3QYVBST2DZCVQUHTELMTWGSBG","short_pith_number":"pith:U3QYVBST","canonical_record":{"source":{"id":"1109.2580","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-09-12T19:42:57Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"487bdbdc49387e090fa00995c0b7bffa208451202085871a25476f5f74f07194","abstract_canon_sha256":"ba763caec2e809a70d761b22ed83ddc8be068d4105a7ae727259fd9541e83559"},"schema_version":"1.0"},"canonical_sha256":"a6e18a8653d0f22ac2879916c9d8d20984e37f594f0fbc239efe07188a471e6f","source":{"kind":"arxiv","id":"1109.2580","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.2580","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"arxiv_version","alias_value":"1109.2580v1","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2580","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"pith_short_12","alias_value":"U3QYVBST2DZC","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"U3QYVBST2DZCVQUH","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"U3QYVBST","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:U3QYVBST2DZCVQUHTELMTWGSBG","target":"record","payload":{"canonical_record":{"source":{"id":"1109.2580","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-09-12T19:42:57Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"487bdbdc49387e090fa00995c0b7bffa208451202085871a25476f5f74f07194","abstract_canon_sha256":"ba763caec2e809a70d761b22ed83ddc8be068d4105a7ae727259fd9541e83559"},"schema_version":"1.0"},"canonical_sha256":"a6e18a8653d0f22ac2879916c9d8d20984e37f594f0fbc239efe07188a471e6f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:37.354955Z","signature_b64":"MmSw/ena51okyz1WbN970i1xq8C5sJP/dSFvfpuMy+RUhfZpHVM8/EwWZdU1somUFLCDxOBF+4zr7cODZhEjAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6e18a8653d0f22ac2879916c9d8d20984e37f594f0fbc239efe07188a471e6f","last_reissued_at":"2026-05-18T04:13:37.354264Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:37.354264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.2580","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":"2026-05-18T04:13:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aTpDK2AMZCW/2mLEoCaSSY3JalYX9lk4ZNaH2bh3maebKWcGzws8u7Vjqx1+mZmyAk1aOPSlj9o7W3iVdK6MDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T22:30:22.113927Z"},"content_sha256":"8d600b28856b15f57859c06d400fee3fc1d05587f89e6200fc7b4e6fca54ee25","schema_version":"1.0","event_id":"sha256:8d600b28856b15f57859c06d400fee3fc1d05587f89e6200fc7b4e6fca54ee25"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:U3QYVBST2DZCVQUHTELMTWGSBG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on Blasius type boundary value problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.AP","authors_text":"Bogdan Przeradzki, Grzegorz Andrzejczak, Magdalena Nockowska-Rosiak","submitted_at":"2011-09-12T19:42:57Z","abstract_excerpt":"The existence and uniqueness of a solution to a generalized Blasius equation with asymptotic boundary conditions are proved. A new numerical approximation method is proposed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2580","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":"2026-05-18T04:13:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XnVs7GtTe8aB5R/rXWLfuYqvAcj0jCuAIO4wnsTXOcZbv1/0arB2WgFn9WcTUJ6vx/XyzBi1HtUzKHUvdnLmDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T22:30:22.114277Z"},"content_sha256":"b5067cb8c8b58938ae764eeb9342f6b4d551d2b564833b811269e9b629873215","schema_version":"1.0","event_id":"sha256:b5067cb8c8b58938ae764eeb9342f6b4d551d2b564833b811269e9b629873215"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U3QYVBST2DZCVQUHTELMTWGSBG/bundle.json","state_url":"https://pith.science/pith/U3QYVBST2DZCVQUHTELMTWGSBG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U3QYVBST2DZCVQUHTELMTWGSBG/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":"2026-06-25T22:30:22Z","links":{"resolver":"https://pith.science/pith/U3QYVBST2DZCVQUHTELMTWGSBG","bundle":"https://pith.science/pith/U3QYVBST2DZCVQUHTELMTWGSBG/bundle.json","state":"https://pith.science/pith/U3QYVBST2DZCVQUHTELMTWGSBG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U3QYVBST2DZCVQUHTELMTWGSBG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:U3QYVBST2DZCVQUHTELMTWGSBG","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":"ba763caec2e809a70d761b22ed83ddc8be068d4105a7ae727259fd9541e83559","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-09-12T19:42:57Z","title_canon_sha256":"487bdbdc49387e090fa00995c0b7bffa208451202085871a25476f5f74f07194"},"schema_version":"1.0","source":{"id":"1109.2580","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.2580","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"arxiv_version","alias_value":"1109.2580v1","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2580","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"pith_short_12","alias_value":"U3QYVBST2DZC","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"U3QYVBST2DZCVQUH","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"U3QYVBST","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:b5067cb8c8b58938ae764eeb9342f6b4d551d2b564833b811269e9b629873215","target":"graph","created_at":"2026-05-18T04:13:37Z","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":"The existence and uniqueness of a solution to a generalized Blasius equation with asymptotic boundary conditions are proved. A new numerical approximation method is proposed.","authors_text":"Bogdan Przeradzki, Grzegorz Andrzejczak, Magdalena Nockowska-Rosiak","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-09-12T19:42:57Z","title":"A note on Blasius type boundary value problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2580","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":"sha256:8d600b28856b15f57859c06d400fee3fc1d05587f89e6200fc7b4e6fca54ee25","target":"record","created_at":"2026-05-18T04:13:37Z","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":"ba763caec2e809a70d761b22ed83ddc8be068d4105a7ae727259fd9541e83559","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-09-12T19:42:57Z","title_canon_sha256":"487bdbdc49387e090fa00995c0b7bffa208451202085871a25476f5f74f07194"},"schema_version":"1.0","source":{"id":"1109.2580","kind":"arxiv","version":1}},"canonical_sha256":"a6e18a8653d0f22ac2879916c9d8d20984e37f594f0fbc239efe07188a471e6f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6e18a8653d0f22ac2879916c9d8d20984e37f594f0fbc239efe07188a471e6f","first_computed_at":"2026-05-18T04:13:37.354264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:37.354264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MmSw/ena51okyz1WbN970i1xq8C5sJP/dSFvfpuMy+RUhfZpHVM8/EwWZdU1somUFLCDxOBF+4zr7cODZhEjAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:37.354955Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.2580","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d600b28856b15f57859c06d400fee3fc1d05587f89e6200fc7b4e6fca54ee25","sha256:b5067cb8c8b58938ae764eeb9342f6b4d551d2b564833b811269e9b629873215"],"state_sha256":"a01d0359097e6206c11edb5243bce4f93a5bd5d83329f7358b09877cdaa02071"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kocxOQRbfmb82mJIQ43Oj2vhkxDVBL7Mau3Z98B+iPDAPq10XclbFtXiOG3X3wEpW960V3xS4vC0Df+2bTaDAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T22:30:22.116227Z","bundle_sha256":"4af4c7270ed55bc97da9a153973afec5cc17f23c2b8e8e774709f0db3cbb31f7"}}