{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:KBDUPEY3MIMGS4UNAW26UEH7PI","short_pith_number":"pith:KBDUPEY3","schema_version":"1.0","canonical_sha256":"504747931b621869728d05b5ea10ff7a170e3df085a11947d362491ab789a904","source":{"kind":"arxiv","id":"1704.00008","version":2},"attestation_state":"computed","paper":{"title":"Hilbert Series and Operator Basis for NRQED and NRQCD/HQET","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Andrew Kobach, Sridip Pal","submitted_at":"2017-03-31T18:00:00Z","abstract_excerpt":"We use a Hilbert series to construct an operator basis in the $1/m$ expansion of a theory with a nonrelativistic heavy fermion in an electromagnetic (NRQED) or color gauge field (NRQCD/HQET). We present a list of effective operators with mass dimension $d\\leq 8$. Comparing to the current literature, our results for NRQED agree for $d\\leq 8$, but there are some discrepancies in NRQCD/HQET at $d=7$ and 8."},"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":"1704.00008","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-03-31T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"c15e4f983573894ddb6d191fae5d85d9efb91d2e184bfe630665a3c92d2cf707","abstract_canon_sha256":"4e1d9291c67e084ba98019415e143bf02c715cc852db63b26eae0dd82bb00fa3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:01.484649Z","signature_b64":"FtoNMD5CPDt7dnH5I5+ZAaTS6Gq+w93WYkpDY14vlD5yzpJgZoG5cB/cIAwtfBA0mC6HPpbonb6R4OlUiEXACA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"504747931b621869728d05b5ea10ff7a170e3df085a11947d362491ab789a904","last_reissued_at":"2026-05-18T00:37:01.483981Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:01.483981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hilbert Series and Operator Basis for NRQED and NRQCD/HQET","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Andrew Kobach, Sridip Pal","submitted_at":"2017-03-31T18:00:00Z","abstract_excerpt":"We use a Hilbert series to construct an operator basis in the $1/m$ expansion of a theory with a nonrelativistic heavy fermion in an electromagnetic (NRQED) or color gauge field (NRQCD/HQET). We present a list of effective operators with mass dimension $d\\leq 8$. Comparing to the current literature, our results for NRQED agree for $d\\leq 8$, but there are some discrepancies in NRQCD/HQET at $d=7$ and 8."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00008","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":"1704.00008","created_at":"2026-05-18T00:37:01.484091+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.00008v2","created_at":"2026-05-18T00:37:01.484091+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00008","created_at":"2026-05-18T00:37:01.484091+00:00"},{"alias_kind":"pith_short_12","alias_value":"KBDUPEY3MIMG","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"KBDUPEY3MIMGS4UN","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"KBDUPEY3","created_at":"2026-05-18T12:31:24.725408+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.02878","citing_title":"Finite-temperature operator basis on $\\mathbb{R}^3 \\times S^1$ for SMEFT","ref_index":85,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KBDUPEY3MIMGS4UNAW26UEH7PI","json":"https://pith.science/pith/KBDUPEY3MIMGS4UNAW26UEH7PI.json","graph_json":"https://pith.science/api/pith-number/KBDUPEY3MIMGS4UNAW26UEH7PI/graph.json","events_json":"https://pith.science/api/pith-number/KBDUPEY3MIMGS4UNAW26UEH7PI/events.json","paper":"https://pith.science/paper/KBDUPEY3"},"agent_actions":{"view_html":"https://pith.science/pith/KBDUPEY3MIMGS4UNAW26UEH7PI","download_json":"https://pith.science/pith/KBDUPEY3MIMGS4UNAW26UEH7PI.json","view_paper":"https://pith.science/paper/KBDUPEY3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.00008&json=true","fetch_graph":"https://pith.science/api/pith-number/KBDUPEY3MIMGS4UNAW26UEH7PI/graph.json","fetch_events":"https://pith.science/api/pith-number/KBDUPEY3MIMGS4UNAW26UEH7PI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KBDUPEY3MIMGS4UNAW26UEH7PI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KBDUPEY3MIMGS4UNAW26UEH7PI/action/storage_attestation","attest_author":"https://pith.science/pith/KBDUPEY3MIMGS4UNAW26UEH7PI/action/author_attestation","sign_citation":"https://pith.science/pith/KBDUPEY3MIMGS4UNAW26UEH7PI/action/citation_signature","submit_replication":"https://pith.science/pith/KBDUPEY3MIMGS4UNAW26UEH7PI/action/replication_record"}},"created_at":"2026-05-18T00:37:01.484091+00:00","updated_at":"2026-05-18T00:37:01.484091+00:00"}