{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:OZD3EKZIJESIMJVPWSUIQAHKQF","short_pith_number":"pith:OZD3EKZI","canonical_record":{"source":{"id":"1004.4014","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-04-22T21:10:03Z","cross_cats_sorted":[],"title_canon_sha256":"3ec99f9320dca32a08b0bf6f15b5ab3846de991013a4b55f5db2914ec58fddc4","abstract_canon_sha256":"6991cda59b7419469e5a204ba2b2125c486a1b345e86b585b59f553efe3daac4"},"schema_version":"1.0"},"canonical_sha256":"7647b22b2849248626afb4a88800ea814f2476cd992913789d32575b0da106da","source":{"kind":"arxiv","id":"1004.4014","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.4014","created_at":"2026-05-18T04:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"1004.4014v1","created_at":"2026-05-18T04:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.4014","created_at":"2026-05-18T04:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"OZD3EKZIJESI","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OZD3EKZIJESIMJVP","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OZD3EKZI","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:OZD3EKZIJESIMJVPWSUIQAHKQF","target":"record","payload":{"canonical_record":{"source":{"id":"1004.4014","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-04-22T21:10:03Z","cross_cats_sorted":[],"title_canon_sha256":"3ec99f9320dca32a08b0bf6f15b5ab3846de991013a4b55f5db2914ec58fddc4","abstract_canon_sha256":"6991cda59b7419469e5a204ba2b2125c486a1b345e86b585b59f553efe3daac4"},"schema_version":"1.0"},"canonical_sha256":"7647b22b2849248626afb4a88800ea814f2476cd992913789d32575b0da106da","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:10.107809Z","signature_b64":"iNp42MQqBZovdR9D01YZ2Xau4IN6DuD5uE5FmhTksbxXN6y1U9l5atJS3qCqOrFO6HgSbrCR8ogz/xBXlfPZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7647b22b2849248626afb4a88800ea814f2476cd992913789d32575b0da106da","last_reissued_at":"2026-05-18T04:34:10.107201Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:10.107201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.4014","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":"2026-05-18T04:34:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uKvIN0ZS2Prsyikg09YSC9UyEd79MT99dlR4sLF3EJ+KWeI/ZDQ8cYABPlwmfdZDOJdirWBKdzL71t1+5wmDBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T12:31:22.288094Z"},"content_sha256":"799d61f88afff035af5976befef2f84c05b513adf7ba2ef9ae62bd0bfaa4ea73","schema_version":"1.0","event_id":"sha256:799d61f88afff035af5976befef2f84c05b513adf7ba2ef9ae62bd0bfaa4ea73"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:OZD3EKZIJESIMJVPWSUIQAHKQF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Estimates for the Spectral Condition Number of Cardinal B-Spline Collocation Matrices (Long version)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Sanja Singer, Sasa Singer, Vedran Novakovic","submitted_at":"2010-04-22T21:10:03Z","abstract_excerpt":"The famous de Boor conjecture states that the condition of the polynomial B-spline collocation matrix at the knot averages is bounded independently of the knot sequence, i.e., depends only on the spline degree. For highly nonuniform knot meshes, like geometric meshes, the conjecture is known to be false. As an effort towards finding an answer for uniform meshes, we investigate the spectral condition number of cardinal B-spline collocation matrices. Numerical testing strongly suggests that the conjecture is true for cardinal B-splines."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.4014","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":"2026-05-18T04:34:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ePm/3UrA1MYHWk9cxL3kl20owNT+BVhg3tVZ2/E02BSaw0VQ/m/xixISW3MzgdAbHkZ76sa9NVmjmtp3QdDdDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T12:31:22.288458Z"},"content_sha256":"159a222a2e959404ea1b85cc750278c8148588c9229b3a2b206dd55f539f375d","schema_version":"1.0","event_id":"sha256:159a222a2e959404ea1b85cc750278c8148588c9229b3a2b206dd55f539f375d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OZD3EKZIJESIMJVPWSUIQAHKQF/bundle.json","state_url":"https://pith.science/pith/OZD3EKZIJESIMJVPWSUIQAHKQF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OZD3EKZIJESIMJVPWSUIQAHKQF/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":"2026-07-05T12:31:22Z","links":{"resolver":"https://pith.science/pith/OZD3EKZIJESIMJVPWSUIQAHKQF","bundle":"https://pith.science/pith/OZD3EKZIJESIMJVPWSUIQAHKQF/bundle.json","state":"https://pith.science/pith/OZD3EKZIJESIMJVPWSUIQAHKQF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OZD3EKZIJESIMJVPWSUIQAHKQF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OZD3EKZIJESIMJVPWSUIQAHKQF","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":"6991cda59b7419469e5a204ba2b2125c486a1b345e86b585b59f553efe3daac4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-04-22T21:10:03Z","title_canon_sha256":"3ec99f9320dca32a08b0bf6f15b5ab3846de991013a4b55f5db2914ec58fddc4"},"schema_version":"1.0","source":{"id":"1004.4014","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.4014","created_at":"2026-05-18T04:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"1004.4014v1","created_at":"2026-05-18T04:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.4014","created_at":"2026-05-18T04:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"OZD3EKZIJESI","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OZD3EKZIJESIMJVP","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OZD3EKZI","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:159a222a2e959404ea1b85cc750278c8148588c9229b3a2b206dd55f539f375d","target":"graph","created_at":"2026-05-18T04:34:10Z","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 famous de Boor conjecture states that the condition of the polynomial B-spline collocation matrix at the knot averages is bounded independently of the knot sequence, i.e., depends only on the spline degree. For highly nonuniform knot meshes, like geometric meshes, the conjecture is known to be false. As an effort towards finding an answer for uniform meshes, we investigate the spectral condition number of cardinal B-spline collocation matrices. Numerical testing strongly suggests that the conjecture is true for cardinal B-splines.","authors_text":"Sanja Singer, Sasa Singer, Vedran Novakovic","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-04-22T21:10:03Z","title":"Estimates for the Spectral Condition Number of Cardinal B-Spline Collocation Matrices (Long version)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.4014","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":"sha256:799d61f88afff035af5976befef2f84c05b513adf7ba2ef9ae62bd0bfaa4ea73","target":"record","created_at":"2026-05-18T04:34:10Z","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":"6991cda59b7419469e5a204ba2b2125c486a1b345e86b585b59f553efe3daac4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-04-22T21:10:03Z","title_canon_sha256":"3ec99f9320dca32a08b0bf6f15b5ab3846de991013a4b55f5db2914ec58fddc4"},"schema_version":"1.0","source":{"id":"1004.4014","kind":"arxiv","version":1}},"canonical_sha256":"7647b22b2849248626afb4a88800ea814f2476cd992913789d32575b0da106da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7647b22b2849248626afb4a88800ea814f2476cd992913789d32575b0da106da","first_computed_at":"2026-05-18T04:34:10.107201Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:10.107201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iNp42MQqBZovdR9D01YZ2Xau4IN6DuD5uE5FmhTksbxXN6y1U9l5atJS3qCqOrFO6HgSbrCR8ogz/xBXlfPZAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:10.107809Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.4014","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:799d61f88afff035af5976befef2f84c05b513adf7ba2ef9ae62bd0bfaa4ea73","sha256:159a222a2e959404ea1b85cc750278c8148588c9229b3a2b206dd55f539f375d"],"state_sha256":"0c6530025d7f77fa92bc03b48e45f94c5dfa4a3a9bb1f07a3b73306253c796d0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M4D7yWx/J1XOgx+h4Ailk4iBAvOgtI4EpIceMcGfsHYQ7XgoM0EPw+OZs55ndA1gG0/X9vk2r5USwy90SQ6PDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T12:31:22.290270Z","bundle_sha256":"83903a08583625bd1ded739262b3efa5ce079d5e86706375f66a824e86a60c2b"}}