{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:VBQO5T4UDR62C3WVOP6ZBAVEGB","short_pith_number":"pith:VBQO5T4U","canonical_record":{"source":{"id":"1102.1826","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-02-09T10:44:19Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"37abf9e346113a4f3d61882c3eba0aafa988073d08739a598da23dff74300a7d","abstract_canon_sha256":"5d928acde2bc7ee3803e136c88b99fb202f3f6a7595f68cb835e781ab31ac18e"},"schema_version":"1.0"},"canonical_sha256":"a860eecf941c7da16ed573fd9082a43060c5e73f690346c22cfdd4ba397fada8","source":{"kind":"arxiv","id":"1102.1826","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1826","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1826v3","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1826","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"pith_short_12","alias_value":"VBQO5T4UDR62","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"VBQO5T4UDR62C3WV","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"VBQO5T4U","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:VBQO5T4UDR62C3WVOP6ZBAVEGB","target":"record","payload":{"canonical_record":{"source":{"id":"1102.1826","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-02-09T10:44:19Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"37abf9e346113a4f3d61882c3eba0aafa988073d08739a598da23dff74300a7d","abstract_canon_sha256":"5d928acde2bc7ee3803e136c88b99fb202f3f6a7595f68cb835e781ab31ac18e"},"schema_version":"1.0"},"canonical_sha256":"a860eecf941c7da16ed573fd9082a43060c5e73f690346c22cfdd4ba397fada8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:11.969535Z","signature_b64":"Ba5sB52/jO+iAnlOhQHDhlF2jKTruqdh4yniqRkErNRbBRrtMgpfc1YuhmLVD7BQ38qmhTTWN1SQjFn8u0ItAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a860eecf941c7da16ed573fd9082a43060c5e73f690346c22cfdd4ba397fada8","last_reissued_at":"2026-05-18T03:19:11.968932Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:11.968932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.1826","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:19:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XzE7+McRdenVPX+oHLeVjLzItonwbGsapQ18lJLp/lcfuxn6rstiHdnZlG9UEJmdjav7y+aVBJ1H/DyvIYmeAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:36:15.585000Z"},"content_sha256":"17b73b280029cd6f344b610ec95b4df9b58f604c3259cf71119be94bccddfbd5","schema_version":"1.0","event_id":"sha256:17b73b280029cd6f344b610ec95b4df9b58f604c3259cf71119be94bccddfbd5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:VBQO5T4UDR62C3WVOP6ZBAVEGB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A general recurrence relation for the weight-functions in M\\\"uhlbach-Neville-Aitken representions with application to WENO interpolation and differentiation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"math.NA","authors_text":"G. A. Gerolymos","submitted_at":"2011-02-09T10:44:19Z","abstract_excerpt":"In several applications, such as \\tsc{weno} interpolation and reconstruction [Shu C.W.: SIAM Rev. 51 (2009) 82--126], we are interested in the analytical expression of the weight-functions which allow the representation of the approximating function on a given stencil (Chebyshev-system) as the weighted combination of the corresponding approximating functions on substencils (Chebyshev-subsystems). We show that the weight-functions in such representations [M\\\"uhlbach G.: Num. Math. 31 (1978) 97--110] can be generated by a general recurrence relation based on the existence of a 1-level subdivisio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1826","kind":"arxiv","version":3},"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":"2026-05-18T03:19:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h2MD7vT/1m4/lwJ2Rto0BJGZpenSLG6TsE3EcYnsnMUSc2sgzbHGBNxLk++VaEc/kJYouasmK0/+SoTQY6z9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:36:15.585554Z"},"content_sha256":"397c97092024448439d568ce4fc272d5d40093467f8e238d52f9c70165fb89de","schema_version":"1.0","event_id":"sha256:397c97092024448439d568ce4fc272d5d40093467f8e238d52f9c70165fb89de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VBQO5T4UDR62C3WVOP6ZBAVEGB/bundle.json","state_url":"https://pith.science/pith/VBQO5T4UDR62C3WVOP6ZBAVEGB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VBQO5T4UDR62C3WVOP6ZBAVEGB/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":"2026-06-07T14:36:15Z","links":{"resolver":"https://pith.science/pith/VBQO5T4UDR62C3WVOP6ZBAVEGB","bundle":"https://pith.science/pith/VBQO5T4UDR62C3WVOP6ZBAVEGB/bundle.json","state":"https://pith.science/pith/VBQO5T4UDR62C3WVOP6ZBAVEGB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VBQO5T4UDR62C3WVOP6ZBAVEGB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VBQO5T4UDR62C3WVOP6ZBAVEGB","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":"5d928acde2bc7ee3803e136c88b99fb202f3f6a7595f68cb835e781ab31ac18e","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-02-09T10:44:19Z","title_canon_sha256":"37abf9e346113a4f3d61882c3eba0aafa988073d08739a598da23dff74300a7d"},"schema_version":"1.0","source":{"id":"1102.1826","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1826","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1826v3","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1826","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"pith_short_12","alias_value":"VBQO5T4UDR62","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"VBQO5T4UDR62C3WV","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"VBQO5T4U","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:397c97092024448439d568ce4fc272d5d40093467f8e238d52f9c70165fb89de","target":"graph","created_at":"2026-05-18T03:19:11Z","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 several applications, such as \\tsc{weno} interpolation and reconstruction [Shu C.W.: SIAM Rev. 51 (2009) 82--126], we are interested in the analytical expression of the weight-functions which allow the representation of the approximating function on a given stencil (Chebyshev-system) as the weighted combination of the corresponding approximating functions on substencils (Chebyshev-subsystems). We show that the weight-functions in such representations [M\\\"uhlbach G.: Num. Math. 31 (1978) 97--110] can be generated by a general recurrence relation based on the existence of a 1-level subdivisio","authors_text":"G. A. Gerolymos","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-02-09T10:44:19Z","title":"A general recurrence relation for the weight-functions in M\\\"uhlbach-Neville-Aitken representions with application to WENO interpolation and differentiation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1826","kind":"arxiv","version":3},"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":"sha256:17b73b280029cd6f344b610ec95b4df9b58f604c3259cf71119be94bccddfbd5","target":"record","created_at":"2026-05-18T03:19:11Z","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":"5d928acde2bc7ee3803e136c88b99fb202f3f6a7595f68cb835e781ab31ac18e","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-02-09T10:44:19Z","title_canon_sha256":"37abf9e346113a4f3d61882c3eba0aafa988073d08739a598da23dff74300a7d"},"schema_version":"1.0","source":{"id":"1102.1826","kind":"arxiv","version":3}},"canonical_sha256":"a860eecf941c7da16ed573fd9082a43060c5e73f690346c22cfdd4ba397fada8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a860eecf941c7da16ed573fd9082a43060c5e73f690346c22cfdd4ba397fada8","first_computed_at":"2026-05-18T03:19:11.968932Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:11.968932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ba5sB52/jO+iAnlOhQHDhlF2jKTruqdh4yniqRkErNRbBRrtMgpfc1YuhmLVD7BQ38qmhTTWN1SQjFn8u0ItAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:11.969535Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1826","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17b73b280029cd6f344b610ec95b4df9b58f604c3259cf71119be94bccddfbd5","sha256:397c97092024448439d568ce4fc272d5d40093467f8e238d52f9c70165fb89de"],"state_sha256":"206d700cdb424a49cbc7b58e2dad0543db8b84366c35333797ea99e491de2ae1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MUjsn6RT0zV7gOH78sVf3+L7JpAue0bNVYUEB+tF/gozp2GyXnZEykhTsHsdW+b7SEg/5mUZ4DmOGrpiBDTdDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T14:36:15.588345Z","bundle_sha256":"2619fbe0974527cc413b9d8dcde9abdfb034fd3286fe555cc0bc96aab254c235"}}