{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XT33XSS4I64CCNVU3XJXB5Q6AY","short_pith_number":"pith:XT33XSS4","canonical_record":{"source":{"id":"1407.6802","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-07-25T07:59:52Z","cross_cats_sorted":[],"title_canon_sha256":"f41e9d03a411b384df89c018f9a8049fedd7382e33c0f75fd850860e505fdb00","abstract_canon_sha256":"f9a1377a15fbe3815c769146a0b85340d37836012d98248daa87e58da024f812"},"schema_version":"1.0"},"canonical_sha256":"bcf7bbca5c47b82136b4ddd370f61e06379a6120f3ff3a5c65743701eed45f8d","source":{"kind":"arxiv","id":"1407.6802","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.6802","created_at":"2026-05-18T02:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"1407.6802v1","created_at":"2026-05-18T02:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.6802","created_at":"2026-05-18T02:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"XT33XSS4I64C","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XT33XSS4I64CCNVU","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XT33XSS4","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XT33XSS4I64CCNVU3XJXB5Q6AY","target":"record","payload":{"canonical_record":{"source":{"id":"1407.6802","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-07-25T07:59:52Z","cross_cats_sorted":[],"title_canon_sha256":"f41e9d03a411b384df89c018f9a8049fedd7382e33c0f75fd850860e505fdb00","abstract_canon_sha256":"f9a1377a15fbe3815c769146a0b85340d37836012d98248daa87e58da024f812"},"schema_version":"1.0"},"canonical_sha256":"bcf7bbca5c47b82136b4ddd370f61e06379a6120f3ff3a5c65743701eed45f8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:32.237115Z","signature_b64":"M43HIAmHUNeRyRJwGYyfYT/QrjIxMnjvlLLw4Glwn7Mv0Wp1XCjjLX55TM6vmI70n/TUP7zXfsQiRDLKFakUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bcf7bbca5c47b82136b4ddd370f61e06379a6120f3ff3a5c65743701eed45f8d","last_reissued_at":"2026-05-18T02:46:32.236692Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:32.236692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.6802","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":"2026-05-18T02:46:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AvyGdLUqSwAt/JHeMyjpGRwpwAZ/b1m2zy2btdSqd6GD8x1y+zWBk/+T2XUkjmBrexhi6ksAgYFMDWT/sASzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:14:01.598040Z"},"content_sha256":"5b34accc3bb5df90c58fb90623f8bead9ea64d0cab90ea9519bf2a0000fc6993","schema_version":"1.0","event_id":"sha256:5b34accc3bb5df90c58fb90623f8bead9ea64d0cab90ea9519bf2a0000fc6993"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XT33XSS4I64CCNVU3XJXB5Q6AY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalizations of the Maillet Determinant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Youngmi Hur, Zachary Lubberts","submitted_at":"2014-07-25T07:59:52Z","abstract_excerpt":"We consider several extensions of the Maillet determinant studied by Malo, Turnbull, and Carlitz and Olson, and derive properties of the underlying matrices. In particular, we compute the eigenvectors and eigenvalues of these matrices, which yield formulas for these new determinants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6802","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":"2026-05-18T02:46:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4saf7e3kobo/iyQGkoQZ4/j0YPCzA5WPqlBzfRIOhcra5htpBqYsQVVaMaiso3QvAF0HxBNk3pltTvcTttJJCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:14:01.598391Z"},"content_sha256":"28f16e85c6feb66a36ae913e57493c5f42d9dcddf3c25b135936e3c3b9f92492","schema_version":"1.0","event_id":"sha256:28f16e85c6feb66a36ae913e57493c5f42d9dcddf3c25b135936e3c3b9f92492"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XT33XSS4I64CCNVU3XJXB5Q6AY/bundle.json","state_url":"https://pith.science/pith/XT33XSS4I64CCNVU3XJXB5Q6AY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XT33XSS4I64CCNVU3XJXB5Q6AY/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":"2026-06-01T12:14:01Z","links":{"resolver":"https://pith.science/pith/XT33XSS4I64CCNVU3XJXB5Q6AY","bundle":"https://pith.science/pith/XT33XSS4I64CCNVU3XJXB5Q6AY/bundle.json","state":"https://pith.science/pith/XT33XSS4I64CCNVU3XJXB5Q6AY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XT33XSS4I64CCNVU3XJXB5Q6AY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XT33XSS4I64CCNVU3XJXB5Q6AY","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":"f9a1377a15fbe3815c769146a0b85340d37836012d98248daa87e58da024f812","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-07-25T07:59:52Z","title_canon_sha256":"f41e9d03a411b384df89c018f9a8049fedd7382e33c0f75fd850860e505fdb00"},"schema_version":"1.0","source":{"id":"1407.6802","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.6802","created_at":"2026-05-18T02:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"1407.6802v1","created_at":"2026-05-18T02:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.6802","created_at":"2026-05-18T02:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"XT33XSS4I64C","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XT33XSS4I64CCNVU","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XT33XSS4","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:28f16e85c6feb66a36ae913e57493c5f42d9dcddf3c25b135936e3c3b9f92492","target":"graph","created_at":"2026-05-18T02:46:32Z","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 consider several extensions of the Maillet determinant studied by Malo, Turnbull, and Carlitz and Olson, and derive properties of the underlying matrices. In particular, we compute the eigenvectors and eigenvalues of these matrices, which yield formulas for these new determinants.","authors_text":"Youngmi Hur, Zachary Lubberts","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-07-25T07:59:52Z","title":"Generalizations of the Maillet Determinant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6802","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":"sha256:5b34accc3bb5df90c58fb90623f8bead9ea64d0cab90ea9519bf2a0000fc6993","target":"record","created_at":"2026-05-18T02:46:32Z","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":"f9a1377a15fbe3815c769146a0b85340d37836012d98248daa87e58da024f812","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-07-25T07:59:52Z","title_canon_sha256":"f41e9d03a411b384df89c018f9a8049fedd7382e33c0f75fd850860e505fdb00"},"schema_version":"1.0","source":{"id":"1407.6802","kind":"arxiv","version":1}},"canonical_sha256":"bcf7bbca5c47b82136b4ddd370f61e06379a6120f3ff3a5c65743701eed45f8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcf7bbca5c47b82136b4ddd370f61e06379a6120f3ff3a5c65743701eed45f8d","first_computed_at":"2026-05-18T02:46:32.236692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:32.236692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M43HIAmHUNeRyRJwGYyfYT/QrjIxMnjvlLLw4Glwn7Mv0Wp1XCjjLX55TM6vmI70n/TUP7zXfsQiRDLKFakUAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:32.237115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.6802","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b34accc3bb5df90c58fb90623f8bead9ea64d0cab90ea9519bf2a0000fc6993","sha256:28f16e85c6feb66a36ae913e57493c5f42d9dcddf3c25b135936e3c3b9f92492"],"state_sha256":"5ad550d87310683cce0978214fe314fd94fd13833d169078bb53781ff31dd075"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JFK+o22NwIgPYhMBWEvj2GPj5NDh7FjdAfgBg1Xv6x07JGUyFU3RZgJXDl9xK/9R95INhoPQaj0dDRCtXfTWAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:14:01.600709Z","bundle_sha256":"6671b9b82fab0fef0af8f3482de2f2f505598cb5aa991453c9b1eca08519b130"}}