{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:VAUBU5QHXHJV324H2E3XDMSGMT","short_pith_number":"pith:VAUBU5QH","schema_version":"1.0","canonical_sha256":"a8281a7607b9d35deb87d13771b24664eeffffb3bcf41a6fbcf240ee67a17c7d","source":{"kind":"arxiv","id":"0907.4292","version":2},"attestation_state":"computed","paper":{"title":"Bilinear identities on Schur symmetric functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.CO","authors_text":"Dimitry Gurevich, Pavel Pyatov, Pavel Saponov","submitted_at":"2009-07-24T14:06:32Z","abstract_excerpt":"A series of bilinear identities on the Schur symmetric functions is obtained with the use of Pluecker relations."},"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":"0907.4292","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2009-07-24T14:06:32Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"97d85c540b280db4a0542390f0bf31965a18f3ffcdade9ebc6bae88445dea954","abstract_canon_sha256":"a61055c979cc03cde257589b41063832d0741a305d6404439ddaf8c4cabcfcd0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:53.882494Z","signature_b64":"Ml52e0Vaths0IkHYPhK4ZSUletEH3TtCL2xDRF9BKJtk8SORhEQV7nBa4Ew3+8+3kxztHgGVkk2RimSLPn3MBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8281a7607b9d35deb87d13771b24664eeffffb3bcf41a6fbcf240ee67a17c7d","last_reissued_at":"2026-05-18T02:12:53.881833Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:53.881833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bilinear identities on Schur symmetric functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.CO","authors_text":"Dimitry Gurevich, Pavel Pyatov, Pavel Saponov","submitted_at":"2009-07-24T14:06:32Z","abstract_excerpt":"A series of bilinear identities on the Schur symmetric functions is obtained with the use of Pluecker relations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.4292","kind":"arxiv","version":2},"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":"0907.4292","created_at":"2026-05-18T02:12:53.881926+00:00"},{"alias_kind":"arxiv_version","alias_value":"0907.4292v2","created_at":"2026-05-18T02:12:53.881926+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.4292","created_at":"2026-05-18T02:12:53.881926+00:00"},{"alias_kind":"pith_short_12","alias_value":"VAUBU5QHXHJV","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"VAUBU5QHXHJV324H","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"VAUBU5QH","created_at":"2026-05-18T12:26:02.257875+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/VAUBU5QHXHJV324H2E3XDMSGMT","json":"https://pith.science/pith/VAUBU5QHXHJV324H2E3XDMSGMT.json","graph_json":"https://pith.science/api/pith-number/VAUBU5QHXHJV324H2E3XDMSGMT/graph.json","events_json":"https://pith.science/api/pith-number/VAUBU5QHXHJV324H2E3XDMSGMT/events.json","paper":"https://pith.science/paper/VAUBU5QH"},"agent_actions":{"view_html":"https://pith.science/pith/VAUBU5QHXHJV324H2E3XDMSGMT","download_json":"https://pith.science/pith/VAUBU5QHXHJV324H2E3XDMSGMT.json","view_paper":"https://pith.science/paper/VAUBU5QH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0907.4292&json=true","fetch_graph":"https://pith.science/api/pith-number/VAUBU5QHXHJV324H2E3XDMSGMT/graph.json","fetch_events":"https://pith.science/api/pith-number/VAUBU5QHXHJV324H2E3XDMSGMT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VAUBU5QHXHJV324H2E3XDMSGMT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VAUBU5QHXHJV324H2E3XDMSGMT/action/storage_attestation","attest_author":"https://pith.science/pith/VAUBU5QHXHJV324H2E3XDMSGMT/action/author_attestation","sign_citation":"https://pith.science/pith/VAUBU5QHXHJV324H2E3XDMSGMT/action/citation_signature","submit_replication":"https://pith.science/pith/VAUBU5QHXHJV324H2E3XDMSGMT/action/replication_record"}},"created_at":"2026-05-18T02:12:53.881926+00:00","updated_at":"2026-05-18T02:12:53.881926+00:00"}