{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KBDUPEY3MIMGS4UNAW26UEH7PI","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4e1d9291c67e084ba98019415e143bf02c715cc852db63b26eae0dd82bb00fa3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-03-31T18:00:00Z","title_canon_sha256":"c15e4f983573894ddb6d191fae5d85d9efb91d2e184bfe630665a3c92d2cf707"},"schema_version":"1.0","source":{"id":"1704.00008","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.00008","created_at":"2026-05-18T00:37:01Z"},{"alias_kind":"arxiv_version","alias_value":"1704.00008v2","created_at":"2026-05-18T00:37:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00008","created_at":"2026-05-18T00:37:01Z"},{"alias_kind":"pith_short_12","alias_value":"KBDUPEY3MIMG","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KBDUPEY3MIMGS4UN","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KBDUPEY3","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:5b2bd82e06a2af04771380fafa4c5b00790e5ee74cd594b52dd7b5bd931a343b","target":"graph","created_at":"2026-05-18T00:37:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Andrew Kobach, Sridip Pal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-03-31T18:00:00Z","title":"Hilbert Series and Operator Basis for NRQED and NRQCD/HQET"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00008","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a9fd594019f077633f966c0e43aa882a73a5e9acb6b32ba6c3ffbd61b694c0f6","target":"record","created_at":"2026-05-18T00:37:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4e1d9291c67e084ba98019415e143bf02c715cc852db63b26eae0dd82bb00fa3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-03-31T18:00:00Z","title_canon_sha256":"c15e4f983573894ddb6d191fae5d85d9efb91d2e184bfe630665a3c92d2cf707"},"schema_version":"1.0","source":{"id":"1704.00008","kind":"arxiv","version":2}},"canonical_sha256":"504747931b621869728d05b5ea10ff7a170e3df085a11947d362491ab789a904","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"504747931b621869728d05b5ea10ff7a170e3df085a11947d362491ab789a904","first_computed_at":"2026-05-18T00:37:01.483981Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:01.483981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FtoNMD5CPDt7dnH5I5+ZAaTS6Gq+w93WYkpDY14vlD5yzpJgZoG5cB/cIAwtfBA0mC6HPpbonb6R4OlUiEXACA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:01.484649Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.00008","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9fd594019f077633f966c0e43aa882a73a5e9acb6b32ba6c3ffbd61b694c0f6","sha256:5b2bd82e06a2af04771380fafa4c5b00790e5ee74cd594b52dd7b5bd931a343b"],"state_sha256":"9394881f496428b66e45f9492b69372a7459c300dd3130355b0af52adaa7ce16"}