{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BFXGHFZGISOLK7G46FDLTQRKAL","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":"aafb539a395f57b73c0fb0892c5d38d2fd75420ff2bde102b0e99087f8ce855e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-12-12T09:41:33Z","title_canon_sha256":"16fe7db1b9dcbe34df4c457e709467a38e246c434b9e64e6d94bb204dc53d192"},"schema_version":"1.0","source":{"id":"1712.04187","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.04187","created_at":"2026-05-18T00:28:08Z"},{"alias_kind":"arxiv_version","alias_value":"1712.04187v1","created_at":"2026-05-18T00:28:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04187","created_at":"2026-05-18T00:28:08Z"},{"alias_kind":"pith_short_12","alias_value":"BFXGHFZGISOL","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BFXGHFZGISOLK7G4","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BFXGHFZG","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:1a2eefe35369791ead0aef509927345be167899b02357ea12b777f772e5b1d31","target":"graph","created_at":"2026-05-18T00:28:08Z","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":"In this paper, we consider the problem of reconstructing an $n \\times n$ cell matrix $D(\\vec{x})$ constructed from a vector $\\vec{x} = (x_{1}, x_{2},\\dots, x_{n})$ of positive real numbers, from a given set of spectral data. In addition, we show that the spectrum of cell matrices $D(\\vec{x})$ and $D(\\pi(\\vec{x}))$ are the same, for every permutation $\\pi \\in S_{n}$.","authors_text":"Kijti Rodtes, Sreyaun Khim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-12-12T09:41:33Z","title":"Inverse Eigenvalue Problem of Cell Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04187","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":"sha256:65f52cf02297ce9233e00b3cb14df7cc573cd2842cbcdccc11e53fc15b855921","target":"record","created_at":"2026-05-18T00:28:08Z","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":"aafb539a395f57b73c0fb0892c5d38d2fd75420ff2bde102b0e99087f8ce855e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-12-12T09:41:33Z","title_canon_sha256":"16fe7db1b9dcbe34df4c457e709467a38e246c434b9e64e6d94bb204dc53d192"},"schema_version":"1.0","source":{"id":"1712.04187","kind":"arxiv","version":1}},"canonical_sha256":"096e639726449cb57cdcf146b9c22a02e1aecb5009d6a5d98dbdd6bd96a3c6c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"096e639726449cb57cdcf146b9c22a02e1aecb5009d6a5d98dbdd6bd96a3c6c5","first_computed_at":"2026-05-18T00:28:08.844528Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:08.844528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W2y8/n289amovJZDbrXFdFhgjgvW+s6kic2xTIFG4tWs6LvWGiMEavsOe+8/P5EE5PoyFm/NAn4McJy418QCAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:08.845246Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.04187","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65f52cf02297ce9233e00b3cb14df7cc573cd2842cbcdccc11e53fc15b855921","sha256:1a2eefe35369791ead0aef509927345be167899b02357ea12b777f772e5b1d31"],"state_sha256":"07e0cab7c93687641cb5a86a32ce09b901976b6db2534f45beaee55f750c966d"}