{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:MGKRMJM46Y4HAO6WVTXDJZEEBW","short_pith_number":"pith:MGKRMJM4","schema_version":"1.0","canonical_sha256":"619516259cf638703bd6acee34e4840d95bc628845924b8fdd061955de3f6ede","source":{"kind":"arxiv","id":"1601.00029","version":3},"attestation_state":"computed","paper":{"title":"On the spectra of hypermatrix direct sum and Kronecker products constructions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Edinah K. Gnang, Yuval Filmus","submitted_at":"2015-12-31T23:09:17Z","abstract_excerpt":"Our main result is an elementary derivation of the spectral decomposition of hypermatrices generated by arbitrary combinations of Kronecker products and direct sums of cubic side length 2"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1601.00029","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2015-12-31T23:09:17Z","cross_cats_sorted":[],"title_canon_sha256":"b879ef2077651153bbd97daed3761d902e994d09e9cd4f11fb3af69ecc59ce00","abstract_canon_sha256":"8312715d1c4cadb631b383ca7377f95df79d8f0f2726b32d6554084ef29c6899"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:41.939460Z","signature_b64":"TF9cuzmL1z59rrdRcXCi/RCjI39DG+YVjWr7BRA1oaauQ1PjM63UjupJnCeD/jfR1I2HYKPbLY7gcefDgxHYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"619516259cf638703bd6acee34e4840d95bc628845924b8fdd061955de3f6ede","last_reissued_at":"2026-05-18T01:09:41.938989Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:41.938989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the spectra of hypermatrix direct sum and Kronecker products constructions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Edinah K. Gnang, Yuval Filmus","submitted_at":"2015-12-31T23:09:17Z","abstract_excerpt":"Our main result is an elementary derivation of the spectral decomposition of hypermatrices generated by arbitrary combinations of Kronecker products and direct sums of cubic side length 2"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00029","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1601.00029","created_at":"2026-05-18T01:09:41.939058+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.00029v3","created_at":"2026-05-18T01:09:41.939058+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00029","created_at":"2026-05-18T01:09:41.939058+00:00"},{"alias_kind":"pith_short_12","alias_value":"MGKRMJM46Y4H","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"MGKRMJM46Y4HAO6W","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"MGKRMJM4","created_at":"2026-05-18T12:29:32.376354+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MGKRMJM46Y4HAO6WVTXDJZEEBW","json":"https://pith.science/pith/MGKRMJM46Y4HAO6WVTXDJZEEBW.json","graph_json":"https://pith.science/api/pith-number/MGKRMJM46Y4HAO6WVTXDJZEEBW/graph.json","events_json":"https://pith.science/api/pith-number/MGKRMJM46Y4HAO6WVTXDJZEEBW/events.json","paper":"https://pith.science/paper/MGKRMJM4"},"agent_actions":{"view_html":"https://pith.science/pith/MGKRMJM46Y4HAO6WVTXDJZEEBW","download_json":"https://pith.science/pith/MGKRMJM46Y4HAO6WVTXDJZEEBW.json","view_paper":"https://pith.science/paper/MGKRMJM4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.00029&json=true","fetch_graph":"https://pith.science/api/pith-number/MGKRMJM46Y4HAO6WVTXDJZEEBW/graph.json","fetch_events":"https://pith.science/api/pith-number/MGKRMJM46Y4HAO6WVTXDJZEEBW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MGKRMJM46Y4HAO6WVTXDJZEEBW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MGKRMJM46Y4HAO6WVTXDJZEEBW/action/storage_attestation","attest_author":"https://pith.science/pith/MGKRMJM46Y4HAO6WVTXDJZEEBW/action/author_attestation","sign_citation":"https://pith.science/pith/MGKRMJM46Y4HAO6WVTXDJZEEBW/action/citation_signature","submit_replication":"https://pith.science/pith/MGKRMJM46Y4HAO6WVTXDJZEEBW/action/replication_record"}},"created_at":"2026-05-18T01:09:41.939058+00:00","updated_at":"2026-05-18T01:09:41.939058+00:00"}