{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:OAPHPTB3KZAJKZCAZ63FCDWZ5O","short_pith_number":"pith:OAPHPTB3","canonical_record":{"source":{"id":"1610.04509","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-14T15:56:38Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"387f14524f4fd33829012bbdbbc90658bdcbb8eb9c3859ed5b3ecc2eb0fc3b81","abstract_canon_sha256":"a85485418c19582e2e02306fc2503c200d7b60a45316e30d79bf982850d6bd33"},"schema_version":"1.0"},"canonical_sha256":"701e77cc3b5640956440cfb6510ed9eb88b621ad3c887c4185885e2877503add","source":{"kind":"arxiv","id":"1610.04509","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04509","created_at":"2026-05-18T01:01:59Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04509v2","created_at":"2026-05-18T01:01:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04509","created_at":"2026-05-18T01:01:59Z"},{"alias_kind":"pith_short_12","alias_value":"OAPHPTB3KZAJ","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OAPHPTB3KZAJKZCA","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OAPHPTB3","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:OAPHPTB3KZAJKZCAZ63FCDWZ5O","target":"record","payload":{"canonical_record":{"source":{"id":"1610.04509","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-14T15:56:38Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"387f14524f4fd33829012bbdbbc90658bdcbb8eb9c3859ed5b3ecc2eb0fc3b81","abstract_canon_sha256":"a85485418c19582e2e02306fc2503c200d7b60a45316e30d79bf982850d6bd33"},"schema_version":"1.0"},"canonical_sha256":"701e77cc3b5640956440cfb6510ed9eb88b621ad3c887c4185885e2877503add","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:59.713780Z","signature_b64":"lQpwUpsF/mrVI+GKNOe8qxSf0E4JY9EjrHpkAqvgm3+DcYvfA4lEUmiRUJ4LKYY1v5UWeu4DHutGRgSfA+/eCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"701e77cc3b5640956440cfb6510ed9eb88b621ad3c887c4185885e2877503add","last_reissued_at":"2026-05-18T01:01:59.713274Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:59.713274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.04509","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1QX3egocCLIKYY15k3mSRv4l8wj91BeoNRcp2PWoGJB9JrhE6E4mHbVo2spmjXd9uezIBfGDPze+jve8AkTRCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:26:59.591033Z"},"content_sha256":"d04362f7e60f2c351930883fe858ed9a408baa2cb38635b562fb315bb1b82c14","schema_version":"1.0","event_id":"sha256:d04362f7e60f2c351930883fe858ed9a408baa2cb38635b562fb315bb1b82c14"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:OAPHPTB3KZAJKZCAZ63FCDWZ5O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A numerical implementation of the unified Fokas transform for evolution problems on a finite interval","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.NA","authors_text":"Beatrice Pelloni, David Smith, Emine Kesici, Tristan Pryer","submitted_at":"2016-10-14T15:56:38Z","abstract_excerpt":"We present the numerical solution of two-point boundary value problems for a third order linear PDE, representing a linear evolution in one space dimension. The difficulty of this problem is in the numerical imposition of the boundary conditions, and to our knowledge, no such computations exist. Instead of computing the evolution numerically, we evaluate the solution representation formula obtained by the unified transform of Fokas. This representation involves complex line integrals, but in order to evaluate these integrals numerically, it is necessary to deform the integration contours using"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04509","kind":"arxiv","version":2},"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":"2026-05-18T01:01:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fhx3ZjULcvI7CQ+UgFUVO/cjDKOO2T3fpBU5sD8IMrEOgrp1GJvi55RBzop1KbLEeno77cuJjG6WREjdcrTVCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:26:59.591585Z"},"content_sha256":"0d2dfa88f02334e114fa2e46ffa8af4ecd85065e51e239016a7ed61569a3776b","schema_version":"1.0","event_id":"sha256:0d2dfa88f02334e114fa2e46ffa8af4ecd85065e51e239016a7ed61569a3776b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OAPHPTB3KZAJKZCAZ63FCDWZ5O/bundle.json","state_url":"https://pith.science/pith/OAPHPTB3KZAJKZCAZ63FCDWZ5O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OAPHPTB3KZAJKZCAZ63FCDWZ5O/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":"2026-06-07T10:26:59Z","links":{"resolver":"https://pith.science/pith/OAPHPTB3KZAJKZCAZ63FCDWZ5O","bundle":"https://pith.science/pith/OAPHPTB3KZAJKZCAZ63FCDWZ5O/bundle.json","state":"https://pith.science/pith/OAPHPTB3KZAJKZCAZ63FCDWZ5O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OAPHPTB3KZAJKZCAZ63FCDWZ5O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OAPHPTB3KZAJKZCAZ63FCDWZ5O","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":"a85485418c19582e2e02306fc2503c200d7b60a45316e30d79bf982850d6bd33","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-14T15:56:38Z","title_canon_sha256":"387f14524f4fd33829012bbdbbc90658bdcbb8eb9c3859ed5b3ecc2eb0fc3b81"},"schema_version":"1.0","source":{"id":"1610.04509","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04509","created_at":"2026-05-18T01:01:59Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04509v2","created_at":"2026-05-18T01:01:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04509","created_at":"2026-05-18T01:01:59Z"},{"alias_kind":"pith_short_12","alias_value":"OAPHPTB3KZAJ","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OAPHPTB3KZAJKZCA","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OAPHPTB3","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:0d2dfa88f02334e114fa2e46ffa8af4ecd85065e51e239016a7ed61569a3776b","target":"graph","created_at":"2026-05-18T01:01:59Z","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 the numerical solution of two-point boundary value problems for a third order linear PDE, representing a linear evolution in one space dimension. The difficulty of this problem is in the numerical imposition of the boundary conditions, and to our knowledge, no such computations exist. Instead of computing the evolution numerically, we evaluate the solution representation formula obtained by the unified transform of Fokas. This representation involves complex line integrals, but in order to evaluate these integrals numerically, it is necessary to deform the integration contours using","authors_text":"Beatrice Pelloni, David Smith, Emine Kesici, Tristan Pryer","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-14T15:56:38Z","title":"A numerical implementation of the unified Fokas transform for evolution problems on a finite interval"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04509","kind":"arxiv","version":2},"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:d04362f7e60f2c351930883fe858ed9a408baa2cb38635b562fb315bb1b82c14","target":"record","created_at":"2026-05-18T01:01:59Z","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":"a85485418c19582e2e02306fc2503c200d7b60a45316e30d79bf982850d6bd33","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-14T15:56:38Z","title_canon_sha256":"387f14524f4fd33829012bbdbbc90658bdcbb8eb9c3859ed5b3ecc2eb0fc3b81"},"schema_version":"1.0","source":{"id":"1610.04509","kind":"arxiv","version":2}},"canonical_sha256":"701e77cc3b5640956440cfb6510ed9eb88b621ad3c887c4185885e2877503add","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"701e77cc3b5640956440cfb6510ed9eb88b621ad3c887c4185885e2877503add","first_computed_at":"2026-05-18T01:01:59.713274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:59.713274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lQpwUpsF/mrVI+GKNOe8qxSf0E4JY9EjrHpkAqvgm3+DcYvfA4lEUmiRUJ4LKYY1v5UWeu4DHutGRgSfA+/eCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:59.713780Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.04509","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d04362f7e60f2c351930883fe858ed9a408baa2cb38635b562fb315bb1b82c14","sha256:0d2dfa88f02334e114fa2e46ffa8af4ecd85065e51e239016a7ed61569a3776b"],"state_sha256":"05a2da7ce273994c4f53b5eb1698edc2aa2aecd92a4524962840d46bcd7c69da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rx37QtNXSPkkJ5+kF5UFuxRpuTkQYG/q4cu02SOnHlu/dcTiJiOOetfkjJ2X2Fk3IH3thj6BZUzuC5GSBjptBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T10:26:59.594370Z","bundle_sha256":"f5d6ca30c64f23c31477ffcea740ddcde40c2a8c4dd4ef602dde7c839ecf3c47"}}