{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ZVIKIABWVNWRRWIGGKVWNSXIZP","short_pith_number":"pith:ZVIKIABW","canonical_record":{"source":{"id":"1511.02922","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-11-09T22:53:13Z","cross_cats_sorted":[],"title_canon_sha256":"5721f86e15ab71d9bbaad03ae3ead15a3ecd7e94d8b85a115fe6051312d05a19","abstract_canon_sha256":"de8069c6322cbbfc34bac74122a7849a2baadeb876f811b240bc035266a337ea"},"schema_version":"1.0"},"canonical_sha256":"cd50a40036ab6d18d90632ab66cae8cbc6717e43ede06def21d2e4d7275374fd","source":{"kind":"arxiv","id":"1511.02922","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.02922","created_at":"2026-05-18T01:27:17Z"},{"alias_kind":"arxiv_version","alias_value":"1511.02922v1","created_at":"2026-05-18T01:27:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02922","created_at":"2026-05-18T01:27:17Z"},{"alias_kind":"pith_short_12","alias_value":"ZVIKIABWVNWR","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZVIKIABWVNWRRWIG","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZVIKIABW","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ZVIKIABWVNWRRWIGGKVWNSXIZP","target":"record","payload":{"canonical_record":{"source":{"id":"1511.02922","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-11-09T22:53:13Z","cross_cats_sorted":[],"title_canon_sha256":"5721f86e15ab71d9bbaad03ae3ead15a3ecd7e94d8b85a115fe6051312d05a19","abstract_canon_sha256":"de8069c6322cbbfc34bac74122a7849a2baadeb876f811b240bc035266a337ea"},"schema_version":"1.0"},"canonical_sha256":"cd50a40036ab6d18d90632ab66cae8cbc6717e43ede06def21d2e4d7275374fd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:17.434602Z","signature_b64":"ptxVgII2yLlhCHN6cTT1Y+4j8CELABSuxVTS2CHnsvbmqSAFbu9IKey4GJhTGrsS4SRdpE/r6irN956VgimQBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd50a40036ab6d18d90632ab66cae8cbc6717e43ede06def21d2e4d7275374fd","last_reissued_at":"2026-05-18T01:27:17.433985Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:17.433985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.02922","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":"2026-05-18T01:27:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h7Ha5mbv4X4WD1gddYJHG0OzpWotQVIKjyzfMM0DhWy/lfXlq2DZVuVOiJBcs6xpItHyG4KS/0zojQ6B7oQZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:08:36.712154Z"},"content_sha256":"0dc2cbdad592d9c6ea462f27b6414d1c8cebf26b213adc6e5a8226eaf0ade114","schema_version":"1.0","event_id":"sha256:0dc2cbdad592d9c6ea462f27b6414d1c8cebf26b213adc6e5a8226eaf0ade114"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ZVIKIABWVNWRRWIGGKVWNSXIZP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Two-dimensional Inverse Frame Operator Approximation Technique","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Anne Gelb, Guohui Song, Jacqueline Davis","submitted_at":"2015-11-09T22:53:13Z","abstract_excerpt":"The ability to efficiently and accurately construct an inverse frame operator is critical for establishing the utility of numerical frame approximations. Recently, the admissible frame method was developed to approximate inverse frame operators for one-dimensional problems. Using the admissible frame approach, it is possible to project the corresponding frame data onto a more suitable (admissible) frame, even when the sampling frame is only weakly localized. As a result, a target function may be approximated as a finite frame expansion with its asymptotic convergence solely dependent on its sm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02922","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":"2026-05-18T01:27:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hDcSXXCq1XN5tZBNJoFOuSmnmCdWOECr4O4KPRY1eyvOHpvru7dSHs2qbfKm2VRBcPzuhBLIFRO70XAkMYimDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:08:36.712864Z"},"content_sha256":"932a901e7aeb705e9477fc98ff1a51f3b8e16311c99243398768d5be09c452ef","schema_version":"1.0","event_id":"sha256:932a901e7aeb705e9477fc98ff1a51f3b8e16311c99243398768d5be09c452ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZVIKIABWVNWRRWIGGKVWNSXIZP/bundle.json","state_url":"https://pith.science/pith/ZVIKIABWVNWRRWIGGKVWNSXIZP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZVIKIABWVNWRRWIGGKVWNSXIZP/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":"2026-05-30T12:08:36Z","links":{"resolver":"https://pith.science/pith/ZVIKIABWVNWRRWIGGKVWNSXIZP","bundle":"https://pith.science/pith/ZVIKIABWVNWRRWIGGKVWNSXIZP/bundle.json","state":"https://pith.science/pith/ZVIKIABWVNWRRWIGGKVWNSXIZP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZVIKIABWVNWRRWIGGKVWNSXIZP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZVIKIABWVNWRRWIGGKVWNSXIZP","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":"de8069c6322cbbfc34bac74122a7849a2baadeb876f811b240bc035266a337ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-11-09T22:53:13Z","title_canon_sha256":"5721f86e15ab71d9bbaad03ae3ead15a3ecd7e94d8b85a115fe6051312d05a19"},"schema_version":"1.0","source":{"id":"1511.02922","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.02922","created_at":"2026-05-18T01:27:17Z"},{"alias_kind":"arxiv_version","alias_value":"1511.02922v1","created_at":"2026-05-18T01:27:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02922","created_at":"2026-05-18T01:27:17Z"},{"alias_kind":"pith_short_12","alias_value":"ZVIKIABWVNWR","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZVIKIABWVNWRRWIG","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZVIKIABW","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:932a901e7aeb705e9477fc98ff1a51f3b8e16311c99243398768d5be09c452ef","target":"graph","created_at":"2026-05-18T01:27:17Z","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 ability to efficiently and accurately construct an inverse frame operator is critical for establishing the utility of numerical frame approximations. Recently, the admissible frame method was developed to approximate inverse frame operators for one-dimensional problems. Using the admissible frame approach, it is possible to project the corresponding frame data onto a more suitable (admissible) frame, even when the sampling frame is only weakly localized. As a result, a target function may be approximated as a finite frame expansion with its asymptotic convergence solely dependent on its sm","authors_text":"Anne Gelb, Guohui Song, Jacqueline Davis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-11-09T22:53:13Z","title":"A Two-dimensional Inverse Frame Operator Approximation Technique"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02922","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":"sha256:0dc2cbdad592d9c6ea462f27b6414d1c8cebf26b213adc6e5a8226eaf0ade114","target":"record","created_at":"2026-05-18T01:27:17Z","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":"de8069c6322cbbfc34bac74122a7849a2baadeb876f811b240bc035266a337ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-11-09T22:53:13Z","title_canon_sha256":"5721f86e15ab71d9bbaad03ae3ead15a3ecd7e94d8b85a115fe6051312d05a19"},"schema_version":"1.0","source":{"id":"1511.02922","kind":"arxiv","version":1}},"canonical_sha256":"cd50a40036ab6d18d90632ab66cae8cbc6717e43ede06def21d2e4d7275374fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd50a40036ab6d18d90632ab66cae8cbc6717e43ede06def21d2e4d7275374fd","first_computed_at":"2026-05-18T01:27:17.433985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:17.433985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ptxVgII2yLlhCHN6cTT1Y+4j8CELABSuxVTS2CHnsvbmqSAFbu9IKey4GJhTGrsS4SRdpE/r6irN956VgimQBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:17.434602Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.02922","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0dc2cbdad592d9c6ea462f27b6414d1c8cebf26b213adc6e5a8226eaf0ade114","sha256:932a901e7aeb705e9477fc98ff1a51f3b8e16311c99243398768d5be09c452ef"],"state_sha256":"ca48acfa7ab3c507bf1bf352c6242edb620aad0b261afd77da73fab633b221dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tHnr5zE8tMUdEHkXc88x0IuUgxqeSY4vHMRS+rCe8f5UeO+Chi0XLPutQvALkExb0j1HBL6zpr4lK451rlVCBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T12:08:36.716629Z","bundle_sha256":"1308f2bae3b856b5933871959c20afaeb964620a8c299c0259a54523dc3a5a95"}}