{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:CES6SKQU4WPAIJFOAGZLSFWBJ7","short_pith_number":"pith:CES6SKQU","schema_version":"1.0","canonical_sha256":"1125e92a14e59e0424ae01b2b916c14fde16dd79d19041b4b87708711005bd3e","source":{"kind":"arxiv","id":"1002.3439","version":3},"attestation_state":"computed","paper":{"title":"The Symmetric Algebra for Certain Monomial Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Debasish Mukhopadhyay","submitted_at":"2010-02-18T07:47:32Z","abstract_excerpt":"In this article we compute a minimal Groebner basis for the symmetric algebra for certain affine Monomial Curves, as an R-module.\n  Keywords: Monomial Curves, Groebner Basis, Symmetric Algebra. Mathematics Subject Classification 2000: 13P10, 13A30 ."},"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":"1002.3439","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2010-02-18T07:47:32Z","cross_cats_sorted":[],"title_canon_sha256":"e3312afb810e890dd64f1e47cf9dad7a5cbb516366931bee83264365c7e9f99c","abstract_canon_sha256":"be54af6522554c51c492f9557b1c0759c920412c6d547d35ea0eb1688ec654db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:51.180804Z","signature_b64":"9LXDYLaok9RHZXQd9XhXxg7B7gTRNA81zkwOUugGYHbf/WM5wOAMDjPFgyOWMIhL0G1bv7LkX9DYGNB1VDC5CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1125e92a14e59e0424ae01b2b916c14fde16dd79d19041b4b87708711005bd3e","last_reissued_at":"2026-05-18T04:31:51.180365Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:51.180365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Symmetric Algebra for Certain Monomial Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Debasish Mukhopadhyay","submitted_at":"2010-02-18T07:47:32Z","abstract_excerpt":"In this article we compute a minimal Groebner basis for the symmetric algebra for certain affine Monomial Curves, as an R-module.\n  Keywords: Monomial Curves, Groebner Basis, Symmetric Algebra. Mathematics Subject Classification 2000: 13P10, 13A30 ."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3439","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":"1002.3439","created_at":"2026-05-18T04:31:51.180435+00:00"},{"alias_kind":"arxiv_version","alias_value":"1002.3439v3","created_at":"2026-05-18T04:31:51.180435+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.3439","created_at":"2026-05-18T04:31:51.180435+00:00"},{"alias_kind":"pith_short_12","alias_value":"CES6SKQU4WPA","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CES6SKQU4WPAIJFO","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CES6SKQU","created_at":"2026-05-18T12:26:05.355336+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/CES6SKQU4WPAIJFOAGZLSFWBJ7","json":"https://pith.science/pith/CES6SKQU4WPAIJFOAGZLSFWBJ7.json","graph_json":"https://pith.science/api/pith-number/CES6SKQU4WPAIJFOAGZLSFWBJ7/graph.json","events_json":"https://pith.science/api/pith-number/CES6SKQU4WPAIJFOAGZLSFWBJ7/events.json","paper":"https://pith.science/paper/CES6SKQU"},"agent_actions":{"view_html":"https://pith.science/pith/CES6SKQU4WPAIJFOAGZLSFWBJ7","download_json":"https://pith.science/pith/CES6SKQU4WPAIJFOAGZLSFWBJ7.json","view_paper":"https://pith.science/paper/CES6SKQU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1002.3439&json=true","fetch_graph":"https://pith.science/api/pith-number/CES6SKQU4WPAIJFOAGZLSFWBJ7/graph.json","fetch_events":"https://pith.science/api/pith-number/CES6SKQU4WPAIJFOAGZLSFWBJ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CES6SKQU4WPAIJFOAGZLSFWBJ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CES6SKQU4WPAIJFOAGZLSFWBJ7/action/storage_attestation","attest_author":"https://pith.science/pith/CES6SKQU4WPAIJFOAGZLSFWBJ7/action/author_attestation","sign_citation":"https://pith.science/pith/CES6SKQU4WPAIJFOAGZLSFWBJ7/action/citation_signature","submit_replication":"https://pith.science/pith/CES6SKQU4WPAIJFOAGZLSFWBJ7/action/replication_record"}},"created_at":"2026-05-18T04:31:51.180435+00:00","updated_at":"2026-05-18T04:31:51.180435+00:00"}