{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:KSATPEWCI2VIN5CCCGIWCNY2QR","short_pith_number":"pith:KSATPEWC","canonical_record":{"source":{"id":"1511.04530","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-11-14T09:05:37Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"22a429c9a1ad163636ad7b75fa3d674c12678f2b85f1424c45b3aa7d2c94199e","abstract_canon_sha256":"d49e22615cb1816af0ab7d93729e397d37a80c41ee4ee216ace99d62c4a46064"},"schema_version":"1.0"},"canonical_sha256":"54813792c246aa86f442119161371a8442932a55969cf504d5d664984d9423f7","source":{"kind":"arxiv","id":"1511.04530","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.04530","created_at":"2026-05-18T01:12:22Z"},{"alias_kind":"arxiv_version","alias_value":"1511.04530v2","created_at":"2026-05-18T01:12:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04530","created_at":"2026-05-18T01:12:22Z"},{"alias_kind":"pith_short_12","alias_value":"KSATPEWCI2VI","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KSATPEWCI2VIN5CC","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KSATPEWC","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:KSATPEWCI2VIN5CCCGIWCNY2QR","target":"record","payload":{"canonical_record":{"source":{"id":"1511.04530","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-11-14T09:05:37Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"22a429c9a1ad163636ad7b75fa3d674c12678f2b85f1424c45b3aa7d2c94199e","abstract_canon_sha256":"d49e22615cb1816af0ab7d93729e397d37a80c41ee4ee216ace99d62c4a46064"},"schema_version":"1.0"},"canonical_sha256":"54813792c246aa86f442119161371a8442932a55969cf504d5d664984d9423f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:22.750158Z","signature_b64":"gH7PU3LxENeC4h+8ETROn6Z/Y7Ly8JneeP3cwMAgL4uuX/pxHMhcmPgewHRSihYbjUuVVWu+FrbLvwUNCElUBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54813792c246aa86f442119161371a8442932a55969cf504d5d664984d9423f7","last_reissued_at":"2026-05-18T01:12:22.749802Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:22.749802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.04530","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":"2026-05-18T01:12:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LK4g3sDPGVKQNhQvyem6ewldxUqltfqtdtBQ4CLl+qhjAfeUeTBhDq4+Zw1or48kueXsrkiSSsKUldFbMbeyBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T16:31:01.453118Z"},"content_sha256":"e5d1bd41adbd0f790900e27b3fb70208caf1f922694e3b67cbba31cf881ca3c6","schema_version":"1.0","event_id":"sha256:e5d1bd41adbd0f790900e27b3fb70208caf1f922694e3b67cbba31cf881ca3c6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:KSATPEWCI2VIN5CCCGIWCNY2QR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Potential theoretic approach to design of accurate formulas for function approximation in symmetric weighted Hardy spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.NA","authors_text":"Ken'ichiro Tanaka, Masaaki Sugihara, Tomoaki Okayama","submitted_at":"2015-11-14T09:05:37Z","abstract_excerpt":"We propose a method for designing accurate interpolation formulas on the real axis for the purpose of function approximation in weighted Hardy spaces. In particular, we consider the Hardy space of functions that are analytic in a strip region around the real axis, being characterized by a weight function $w$ that determines the decay rate of its elements in the neighborhood of infinity. Such a space is considered as a set of functions that are transformed by variable transformations that realize a certain decay rate at infinity. Popular examples of such transformations are given by the single "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04530","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":"2026-05-18T01:12:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NRGUuBG3PRZvA+AalhN4X3rPgIWqaXwliPpOX33QnJnV90e1+cdfZ6U0c6ZoVQVOCBlWJk/YDBw4kzpmG8IHDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T16:31:01.453480Z"},"content_sha256":"be33c7d0b4be2f83cdf1e296c9d9fcc178ac7ae4d07b01915a043e908aa3515d","schema_version":"1.0","event_id":"sha256:be33c7d0b4be2f83cdf1e296c9d9fcc178ac7ae4d07b01915a043e908aa3515d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KSATPEWCI2VIN5CCCGIWCNY2QR/bundle.json","state_url":"https://pith.science/pith/KSATPEWCI2VIN5CCCGIWCNY2QR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KSATPEWCI2VIN5CCCGIWCNY2QR/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":"2026-06-26T16:31:01Z","links":{"resolver":"https://pith.science/pith/KSATPEWCI2VIN5CCCGIWCNY2QR","bundle":"https://pith.science/pith/KSATPEWCI2VIN5CCCGIWCNY2QR/bundle.json","state":"https://pith.science/pith/KSATPEWCI2VIN5CCCGIWCNY2QR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KSATPEWCI2VIN5CCCGIWCNY2QR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KSATPEWCI2VIN5CCCGIWCNY2QR","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":"d49e22615cb1816af0ab7d93729e397d37a80c41ee4ee216ace99d62c4a46064","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-11-14T09:05:37Z","title_canon_sha256":"22a429c9a1ad163636ad7b75fa3d674c12678f2b85f1424c45b3aa7d2c94199e"},"schema_version":"1.0","source":{"id":"1511.04530","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.04530","created_at":"2026-05-18T01:12:22Z"},{"alias_kind":"arxiv_version","alias_value":"1511.04530v2","created_at":"2026-05-18T01:12:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04530","created_at":"2026-05-18T01:12:22Z"},{"alias_kind":"pith_short_12","alias_value":"KSATPEWCI2VI","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KSATPEWCI2VIN5CC","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KSATPEWC","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:be33c7d0b4be2f83cdf1e296c9d9fcc178ac7ae4d07b01915a043e908aa3515d","target":"graph","created_at":"2026-05-18T01:12:22Z","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 propose a method for designing accurate interpolation formulas on the real axis for the purpose of function approximation in weighted Hardy spaces. In particular, we consider the Hardy space of functions that are analytic in a strip region around the real axis, being characterized by a weight function $w$ that determines the decay rate of its elements in the neighborhood of infinity. Such a space is considered as a set of functions that are transformed by variable transformations that realize a certain decay rate at infinity. Popular examples of such transformations are given by the single ","authors_text":"Ken'ichiro Tanaka, Masaaki Sugihara, Tomoaki Okayama","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-11-14T09:05:37Z","title":"Potential theoretic approach to design of accurate formulas for function approximation in symmetric weighted Hardy spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04530","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:e5d1bd41adbd0f790900e27b3fb70208caf1f922694e3b67cbba31cf881ca3c6","target":"record","created_at":"2026-05-18T01:12:22Z","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":"d49e22615cb1816af0ab7d93729e397d37a80c41ee4ee216ace99d62c4a46064","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-11-14T09:05:37Z","title_canon_sha256":"22a429c9a1ad163636ad7b75fa3d674c12678f2b85f1424c45b3aa7d2c94199e"},"schema_version":"1.0","source":{"id":"1511.04530","kind":"arxiv","version":2}},"canonical_sha256":"54813792c246aa86f442119161371a8442932a55969cf504d5d664984d9423f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54813792c246aa86f442119161371a8442932a55969cf504d5d664984d9423f7","first_computed_at":"2026-05-18T01:12:22.749802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:22.749802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gH7PU3LxENeC4h+8ETROn6Z/Y7Ly8JneeP3cwMAgL4uuX/pxHMhcmPgewHRSihYbjUuVVWu+FrbLvwUNCElUBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:22.750158Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.04530","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5d1bd41adbd0f790900e27b3fb70208caf1f922694e3b67cbba31cf881ca3c6","sha256:be33c7d0b4be2f83cdf1e296c9d9fcc178ac7ae4d07b01915a043e908aa3515d"],"state_sha256":"b000623efce8034bc1bebecbfe6e41727fbb99f3bf821c6c5c525d12d775d08e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"27XafcO7JsgnGQe0LdMUArQnYS+I7hiELjXR/PL2W5ME3gXualOBKdqsvX9dir8gI/BS9Q8SPZcp/2PKapoKCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T16:31:01.456823Z","bundle_sha256":"9d1c864bd44e3e339e640dfb15edcd1387e795bee53825f02f2e2c2352981c22"}}