{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:BOROFEMUDNWJYSZ666OEDYUJ6Y","short_pith_number":"pith:BOROFEMU","schema_version":"1.0","canonical_sha256":"0ba2e291941b6c9c4b3ef79c41e289f612986682ee6a702a5f69ed729cbc4cb9","source":{"kind":"arxiv","id":"1204.3347","version":1},"attestation_state":"computed","paper":{"title":"Polarization Tensors for the fuzzy Grassmannians $Gr_{2;n}^F$ and Grassmannian harmonics on $Gr_{2;n}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nucl-th","quant-ph"],"primary_cat":"hep-th","authors_text":"Idrish Huet, Sean Murray","submitted_at":"2012-04-16T02:49:24Z","abstract_excerpt":"We explicitly construct the eigenfunctions of the Laplacian for the fuzzy Grassmannian spaces $Gr_{2;n}^F$. We calculate the spectrum and find it be a truncation of the continuum case. As a byproduct of our approach we find a novel expression for the Grassmannian harmonics in terms of Plucker coordinates which can be interpreted as free Schrodinger particle wave functions on $Gr_{2;n}$."},"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":"1204.3347","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-16T02:49:24Z","cross_cats_sorted":["math-ph","math.MP","nucl-th","quant-ph"],"title_canon_sha256":"d467512db2489cf170c17a57cdfa994710129ea4750df86494144ff3e558c072","abstract_canon_sha256":"edaff1063c2fc8c1c8cc29eaac883317aebeb1892e66fdbe1b480ebb0651e87e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:51.743611Z","signature_b64":"24AwJIu0CvbT1eEqOmO3EQiuvFGE/AcJULoOPcpZU+lBHMVcGPbJN+zzY4sQVnaZlQbXywSrplwhaKX61cHHAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ba2e291941b6c9c4b3ef79c41e289f612986682ee6a702a5f69ed729cbc4cb9","last_reissued_at":"2026-05-18T03:57:51.742905Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:51.742905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Polarization Tensors for the fuzzy Grassmannians $Gr_{2;n}^F$ and Grassmannian harmonics on $Gr_{2;n}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nucl-th","quant-ph"],"primary_cat":"hep-th","authors_text":"Idrish Huet, Sean Murray","submitted_at":"2012-04-16T02:49:24Z","abstract_excerpt":"We explicitly construct the eigenfunctions of the Laplacian for the fuzzy Grassmannian spaces $Gr_{2;n}^F$. We calculate the spectrum and find it be a truncation of the continuum case. As a byproduct of our approach we find a novel expression for the Grassmannian harmonics in terms of Plucker coordinates which can be interpreted as free Schrodinger particle wave functions on $Gr_{2;n}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3347","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1204.3347","created_at":"2026-05-18T03:57:51.742992+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.3347v1","created_at":"2026-05-18T03:57:51.742992+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3347","created_at":"2026-05-18T03:57:51.742992+00:00"},{"alias_kind":"pith_short_12","alias_value":"BOROFEMUDNWJ","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"BOROFEMUDNWJYSZ6","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"BOROFEMU","created_at":"2026-05-18T12:27:01.376967+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/BOROFEMUDNWJYSZ666OEDYUJ6Y","json":"https://pith.science/pith/BOROFEMUDNWJYSZ666OEDYUJ6Y.json","graph_json":"https://pith.science/api/pith-number/BOROFEMUDNWJYSZ666OEDYUJ6Y/graph.json","events_json":"https://pith.science/api/pith-number/BOROFEMUDNWJYSZ666OEDYUJ6Y/events.json","paper":"https://pith.science/paper/BOROFEMU"},"agent_actions":{"view_html":"https://pith.science/pith/BOROFEMUDNWJYSZ666OEDYUJ6Y","download_json":"https://pith.science/pith/BOROFEMUDNWJYSZ666OEDYUJ6Y.json","view_paper":"https://pith.science/paper/BOROFEMU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.3347&json=true","fetch_graph":"https://pith.science/api/pith-number/BOROFEMUDNWJYSZ666OEDYUJ6Y/graph.json","fetch_events":"https://pith.science/api/pith-number/BOROFEMUDNWJYSZ666OEDYUJ6Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BOROFEMUDNWJYSZ666OEDYUJ6Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BOROFEMUDNWJYSZ666OEDYUJ6Y/action/storage_attestation","attest_author":"https://pith.science/pith/BOROFEMUDNWJYSZ666OEDYUJ6Y/action/author_attestation","sign_citation":"https://pith.science/pith/BOROFEMUDNWJYSZ666OEDYUJ6Y/action/citation_signature","submit_replication":"https://pith.science/pith/BOROFEMUDNWJYSZ666OEDYUJ6Y/action/replication_record"}},"created_at":"2026-05-18T03:57:51.742992+00:00","updated_at":"2026-05-18T03:57:51.742992+00:00"}