{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:WJULMBDZN5IBTV5JGOTWYGPC4T","short_pith_number":"pith:WJULMBDZ","canonical_record":{"source":{"id":"2110.02167","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2021-09-27T02:26:31Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"a1ab89b9c6c0fcc7ee167c2d79cf3ab799649374a8ce855e67c61197b4535b75","abstract_canon_sha256":"a9b97058244d1a0e4ac832629d441bf5e7b91c7b55b7038ea04cd5281040a833"},"schema_version":"1.0"},"canonical_sha256":"b268b604796f5019d7a933a76c19e2e4f84435edc78dfd25ea28a6b878c6140d","source":{"kind":"arxiv","id":"2110.02167","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.02167","created_at":"2026-07-05T03:20:16Z"},{"alias_kind":"arxiv_version","alias_value":"2110.02167v1","created_at":"2026-07-05T03:20:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.02167","created_at":"2026-07-05T03:20:16Z"},{"alias_kind":"pith_short_12","alias_value":"WJULMBDZN5IB","created_at":"2026-07-05T03:20:16Z"},{"alias_kind":"pith_short_16","alias_value":"WJULMBDZN5IBTV5J","created_at":"2026-07-05T03:20:16Z"},{"alias_kind":"pith_short_8","alias_value":"WJULMBDZ","created_at":"2026-07-05T03:20:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:WJULMBDZN5IBTV5JGOTWYGPC4T","target":"record","payload":{"canonical_record":{"source":{"id":"2110.02167","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2021-09-27T02:26:31Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"a1ab89b9c6c0fcc7ee167c2d79cf3ab799649374a8ce855e67c61197b4535b75","abstract_canon_sha256":"a9b97058244d1a0e4ac832629d441bf5e7b91c7b55b7038ea04cd5281040a833"},"schema_version":"1.0"},"canonical_sha256":"b268b604796f5019d7a933a76c19e2e4f84435edc78dfd25ea28a6b878c6140d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:20:16.504008Z","signature_b64":"RRda5XLsXZczNXloHMfiLgq/QggBvvXbRFSmt574iO79Xtdo9ETBAfQQFXJyhYUbCsutL7qHBn0SsGSqmrgxAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b268b604796f5019d7a933a76c19e2e4f84435edc78dfd25ea28a6b878c6140d","last_reissued_at":"2026-07-05T03:20:16.503680Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:20:16.503680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2110.02167","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":"2026-07-05T03:20:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z43Ej+dwIq15Xv46T+VBYLDhShKXMjsERok7x8AGdA9QpyQiAZXOcIuYj1Fub8yKcxe26JlHgJ2ZWDFdLL8xDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T20:10:10.340098Z"},"content_sha256":"33d95ca18fa384b94e0fce6884cd93f9cf36b89c6a12347c717f77da4a2a6c3e","schema_version":"1.0","event_id":"sha256:33d95ca18fa384b94e0fce6884cd93f9cf36b89c6a12347c717f77da4a2a6c3e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:WJULMBDZN5IBTV5JGOTWYGPC4T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Derivative Extrapolation Using Least Squares","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"eess.SP","authors_text":"Armen Davis, Boris Shapoval, Ian Faber, Jake McGrath, Nick Butler, Peter Borrell","submitted_at":"2021-09-27T02:26:31Z","abstract_excerpt":"Here, we present three methods for differentiating discrete sets from streaming processes, e.g. WIFI. One approach is based on optimization of the well-known Savitzky-Golay algorithm. These methods are tested on synthetic data sets and will be implemented on subsets of a real university campus WIFI data set. The applicability of all methods are discussed, where we provide insights on both some of their benefits and pitfalls. This article ends with our conclusion on which method is better for our WIFI data."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.02167","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.02167/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:20:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sbZukMx/W5JurAMrf34yYE3ELaM7l+ryxZ247vyDwu29yqXBG1PR9wLijtrXHF2hu/EaIzvf4bJ27YqVUKCYAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T20:10:10.340393Z"},"content_sha256":"504e7c97a690f6e432d223f069d5e47e93539d12c861d7d4f325251721985499","schema_version":"1.0","event_id":"sha256:504e7c97a690f6e432d223f069d5e47e93539d12c861d7d4f325251721985499"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WJULMBDZN5IBTV5JGOTWYGPC4T/bundle.json","state_url":"https://pith.science/pith/WJULMBDZN5IBTV5JGOTWYGPC4T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WJULMBDZN5IBTV5JGOTWYGPC4T/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":"2026-07-31T20:10:10Z","links":{"resolver":"https://pith.science/pith/WJULMBDZN5IBTV5JGOTWYGPC4T","bundle":"https://pith.science/pith/WJULMBDZN5IBTV5JGOTWYGPC4T/bundle.json","state":"https://pith.science/pith/WJULMBDZN5IBTV5JGOTWYGPC4T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WJULMBDZN5IBTV5JGOTWYGPC4T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:WJULMBDZN5IBTV5JGOTWYGPC4T","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":"a9b97058244d1a0e4ac832629d441bf5e7b91c7b55b7038ea04cd5281040a833","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2021-09-27T02:26:31Z","title_canon_sha256":"a1ab89b9c6c0fcc7ee167c2d79cf3ab799649374a8ce855e67c61197b4535b75"},"schema_version":"1.0","source":{"id":"2110.02167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.02167","created_at":"2026-07-05T03:20:16Z"},{"alias_kind":"arxiv_version","alias_value":"2110.02167v1","created_at":"2026-07-05T03:20:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.02167","created_at":"2026-07-05T03:20:16Z"},{"alias_kind":"pith_short_12","alias_value":"WJULMBDZN5IB","created_at":"2026-07-05T03:20:16Z"},{"alias_kind":"pith_short_16","alias_value":"WJULMBDZN5IBTV5J","created_at":"2026-07-05T03:20:16Z"},{"alias_kind":"pith_short_8","alias_value":"WJULMBDZ","created_at":"2026-07-05T03:20:16Z"}],"graph_snapshots":[{"event_id":"sha256:504e7c97a690f6e432d223f069d5e47e93539d12c861d7d4f325251721985499","target":"graph","created_at":"2026-07-05T03:20:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2110.02167/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Here, we present three methods for differentiating discrete sets from streaming processes, e.g. WIFI. One approach is based on optimization of the well-known Savitzky-Golay algorithm. These methods are tested on synthetic data sets and will be implemented on subsets of a real university campus WIFI data set. The applicability of all methods are discussed, where we provide insights on both some of their benefits and pitfalls. This article ends with our conclusion on which method is better for our WIFI data.","authors_text":"Armen Davis, Boris Shapoval, Ian Faber, Jake McGrath, Nick Butler, Peter Borrell","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2021-09-27T02:26:31Z","title":"Derivative Extrapolation Using Least Squares"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.02167","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":"sha256:33d95ca18fa384b94e0fce6884cd93f9cf36b89c6a12347c717f77da4a2a6c3e","target":"record","created_at":"2026-07-05T03:20:16Z","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":"a9b97058244d1a0e4ac832629d441bf5e7b91c7b55b7038ea04cd5281040a833","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2021-09-27T02:26:31Z","title_canon_sha256":"a1ab89b9c6c0fcc7ee167c2d79cf3ab799649374a8ce855e67c61197b4535b75"},"schema_version":"1.0","source":{"id":"2110.02167","kind":"arxiv","version":1}},"canonical_sha256":"b268b604796f5019d7a933a76c19e2e4f84435edc78dfd25ea28a6b878c6140d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b268b604796f5019d7a933a76c19e2e4f84435edc78dfd25ea28a6b878c6140d","first_computed_at":"2026-07-05T03:20:16.503680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:20:16.503680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RRda5XLsXZczNXloHMfiLgq/QggBvvXbRFSmt574iO79Xtdo9ETBAfQQFXJyhYUbCsutL7qHBn0SsGSqmrgxAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:20:16.504008Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.02167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33d95ca18fa384b94e0fce6884cd93f9cf36b89c6a12347c717f77da4a2a6c3e","sha256:504e7c97a690f6e432d223f069d5e47e93539d12c861d7d4f325251721985499"],"state_sha256":"5a22ce009aaa9b0b5ea5f0802fa3e5a92a1dc58eb50fb049d2d3cdc9cad4dee7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BIhX0vB3l1i2sM4K49RenWzTFAbQ5JlA9/X0DNCa6uECDK3zhFLhsmkN/lCgChk+L0S4INIrZ+Zp/yCEMTF3Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T20:10:10.343752Z","bundle_sha256":"c2d073005016fdb409d2e4d0a80f1c3ff84ccf86023734ab49395155b34bc3bb"}}