{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:YASC5LIIG7GENWBGWJLFHBYV72","short_pith_number":"pith:YASC5LII","canonical_record":{"source":{"id":"1811.02336","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-06T13:07:39Z","cross_cats_sorted":[],"title_canon_sha256":"0e6def44e5eb56609baadec3a68c9104039570afb3d0114f6917a556bcea54eb","abstract_canon_sha256":"b82c339a578681ab474cf81e7b3f6ecb2ca468a48166e2ba86f48bbc5222f78f"},"schema_version":"1.0"},"canonical_sha256":"c0242ead0837cc46d826b256538715feb39e77b6227fd26341201fb7bbe4b9e6","source":{"kind":"arxiv","id":"1811.02336","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.02336","created_at":"2026-05-18T00:01:24Z"},{"alias_kind":"arxiv_version","alias_value":"1811.02336v1","created_at":"2026-05-18T00:01:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.02336","created_at":"2026-05-18T00:01:24Z"},{"alias_kind":"pith_short_12","alias_value":"YASC5LIIG7GE","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YASC5LIIG7GENWBG","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YASC5LII","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:YASC5LIIG7GENWBGWJLFHBYV72","target":"record","payload":{"canonical_record":{"source":{"id":"1811.02336","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-06T13:07:39Z","cross_cats_sorted":[],"title_canon_sha256":"0e6def44e5eb56609baadec3a68c9104039570afb3d0114f6917a556bcea54eb","abstract_canon_sha256":"b82c339a578681ab474cf81e7b3f6ecb2ca468a48166e2ba86f48bbc5222f78f"},"schema_version":"1.0"},"canonical_sha256":"c0242ead0837cc46d826b256538715feb39e77b6227fd26341201fb7bbe4b9e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:24.513494Z","signature_b64":"/sYgHCiwO1pXsMiepmyEWlEpsm3gLGNreDMLIikRjRB6OTtErAhHlJCPRYPoo6K1FfMKDy0y6u2P5QWLH/lXAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0242ead0837cc46d826b256538715feb39e77b6227fd26341201fb7bbe4b9e6","last_reissued_at":"2026-05-18T00:01:24.513083Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:24.513083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.02336","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":"2026-05-18T00:01:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qfuZdPfhttDD83xf4bx64ZfTLQ/1b0/ijFCfoIHF7AFL3qNGHNCKWpPCxD4WkiLsnZqeC4hO+tvDWvB3dmHADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T03:32:02.431298Z"},"content_sha256":"0e693839b38eb7c07105df4b1aef6884d03739d29b6a52aef6b00ad9fed0929f","schema_version":"1.0","event_id":"sha256:0e693839b38eb7c07105df4b1aef6884d03739d29b6a52aef6b00ad9fed0929f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:YASC5LIIG7GENWBGWJLFHBYV72","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On construction of a new interpolation tool: cubic $q$-spline","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Orli Herscovici","submitted_at":"2018-11-06T13:07:39Z","abstract_excerpt":"This work presents a new interpolation tool, namely, cubic $q$-spline. Our new analogue generalizes a well known classical cubic spline. This analogue, based on the Jackson $q$-derivative, replaces an interpolating piecewise cubic polynomial function by $q$-polynomials of degree three at most. The parameter $q$ provides a solution flexibility."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.02336","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":"2026-05-18T00:01:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H1uXl6132uSAV4ILQ1qWanerQswi+CWllSj0xkLvE7mShWze7WCsxPo23mMjAC0+zZIP/x21sR0znI5Dk7DADg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T03:32:02.431941Z"},"content_sha256":"9ee97c61282db33629e01152cb679aa4b7dd41997b7363cdeb63f1293bff0738","schema_version":"1.0","event_id":"sha256:9ee97c61282db33629e01152cb679aa4b7dd41997b7363cdeb63f1293bff0738"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YASC5LIIG7GENWBGWJLFHBYV72/bundle.json","state_url":"https://pith.science/pith/YASC5LIIG7GENWBGWJLFHBYV72/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YASC5LIIG7GENWBGWJLFHBYV72/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":"2026-05-25T03:32:02Z","links":{"resolver":"https://pith.science/pith/YASC5LIIG7GENWBGWJLFHBYV72","bundle":"https://pith.science/pith/YASC5LIIG7GENWBGWJLFHBYV72/bundle.json","state":"https://pith.science/pith/YASC5LIIG7GENWBGWJLFHBYV72/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YASC5LIIG7GENWBGWJLFHBYV72/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YASC5LIIG7GENWBGWJLFHBYV72","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":"b82c339a578681ab474cf81e7b3f6ecb2ca468a48166e2ba86f48bbc5222f78f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-06T13:07:39Z","title_canon_sha256":"0e6def44e5eb56609baadec3a68c9104039570afb3d0114f6917a556bcea54eb"},"schema_version":"1.0","source":{"id":"1811.02336","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.02336","created_at":"2026-05-18T00:01:24Z"},{"alias_kind":"arxiv_version","alias_value":"1811.02336v1","created_at":"2026-05-18T00:01:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.02336","created_at":"2026-05-18T00:01:24Z"},{"alias_kind":"pith_short_12","alias_value":"YASC5LIIG7GE","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YASC5LIIG7GENWBG","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YASC5LII","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:9ee97c61282db33629e01152cb679aa4b7dd41997b7363cdeb63f1293bff0738","target":"graph","created_at":"2026-05-18T00:01:24Z","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":"This work presents a new interpolation tool, namely, cubic $q$-spline. Our new analogue generalizes a well known classical cubic spline. This analogue, based on the Jackson $q$-derivative, replaces an interpolating piecewise cubic polynomial function by $q$-polynomials of degree three at most. The parameter $q$ provides a solution flexibility.","authors_text":"Orli Herscovici","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-06T13:07:39Z","title":"On construction of a new interpolation tool: cubic $q$-spline"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.02336","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":"sha256:0e693839b38eb7c07105df4b1aef6884d03739d29b6a52aef6b00ad9fed0929f","target":"record","created_at":"2026-05-18T00:01:24Z","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":"b82c339a578681ab474cf81e7b3f6ecb2ca468a48166e2ba86f48bbc5222f78f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-06T13:07:39Z","title_canon_sha256":"0e6def44e5eb56609baadec3a68c9104039570afb3d0114f6917a556bcea54eb"},"schema_version":"1.0","source":{"id":"1811.02336","kind":"arxiv","version":1}},"canonical_sha256":"c0242ead0837cc46d826b256538715feb39e77b6227fd26341201fb7bbe4b9e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0242ead0837cc46d826b256538715feb39e77b6227fd26341201fb7bbe4b9e6","first_computed_at":"2026-05-18T00:01:24.513083Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:24.513083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/sYgHCiwO1pXsMiepmyEWlEpsm3gLGNreDMLIikRjRB6OTtErAhHlJCPRYPoo6K1FfMKDy0y6u2P5QWLH/lXAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:24.513494Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.02336","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e693839b38eb7c07105df4b1aef6884d03739d29b6a52aef6b00ad9fed0929f","sha256:9ee97c61282db33629e01152cb679aa4b7dd41997b7363cdeb63f1293bff0738"],"state_sha256":"18ae8885678822bbbab7af4145927f5e47f196d50223c8ef81b8f609e7f03bf9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UVBWlDry2MQbTu27BknPnKrhoYje+WqgQ9fF066VC9aBuVPZRnxg6CExmX5yK10h64UNU6c0iV0P13TzFkXYBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T03:32:02.435378Z","bundle_sha256":"51deff9781d55fc920ae3d1f8ca1ee84a661a66ef41eaf75f5a8ad252c7d5ab8"}}