{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2O5CATVAZ7J4SZNHWVAUD32S7G","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":"09b37a6f68060929f3d7cf66b467f7fd5aad7a9e4993a0f53e846bd57b25ac27","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-31T15:37:42Z","title_canon_sha256":"199744528dd247b200ce3c77d8cde4a681cf12edbf921483f3699654406f99af"},"schema_version":"1.0","source":{"id":"1807.11872","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.11872","created_at":"2026-05-18T00:09:20Z"},{"alias_kind":"arxiv_version","alias_value":"1807.11872v1","created_at":"2026-05-18T00:09:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11872","created_at":"2026-05-18T00:09:20Z"},{"alias_kind":"pith_short_12","alias_value":"2O5CATVAZ7J4","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2O5CATVAZ7J4SZNH","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2O5CATVA","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:dcaf15ec26fd735fffb915493a938d82727de51ef5cfc1555d46ce289cdbb51e","target":"graph","created_at":"2026-05-18T00:09:20Z","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":"GJMS operator determinants in odd dimensions are quickly computed for scalar and spinor fields in both sub- and super-critical cases as sums of Dirichlet eta functions with polynomials in the (integer) operator order as coefficients.","authors_text":"J.S.Dowker","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-31T15:37:42Z","title":"A technical note on the calculation of GJMS (Rac and Di) operator determinants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11872","kind":"arxiv","version":1},"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:ca9697868e0d1e37f99448f4153026bd9b6f3d082db439dbba2dc7422de35bd9","target":"record","created_at":"2026-05-18T00:09:20Z","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":"09b37a6f68060929f3d7cf66b467f7fd5aad7a9e4993a0f53e846bd57b25ac27","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-31T15:37:42Z","title_canon_sha256":"199744528dd247b200ce3c77d8cde4a681cf12edbf921483f3699654406f99af"},"schema_version":"1.0","source":{"id":"1807.11872","kind":"arxiv","version":1}},"canonical_sha256":"d3ba204ea0cfd3c965a7b54141ef52f9807c0c80d655e8e164376e027d3e2f0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3ba204ea0cfd3c965a7b54141ef52f9807c0c80d655e8e164376e027d3e2f0e","first_computed_at":"2026-05-18T00:09:20.880955Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:20.880955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e2mAEup6BE8A/kquCD0OTwXJNA70ADUqHviOoS7x5OHUL+rPKMFyVVyCXdKxrYnFWeqaCBtMHvM7w/xryA6LAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:20.881592Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.11872","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca9697868e0d1e37f99448f4153026bd9b6f3d082db439dbba2dc7422de35bd9","sha256:dcaf15ec26fd735fffb915493a938d82727de51ef5cfc1555d46ce289cdbb51e"],"state_sha256":"5c3d922be16b63c63835284672c40f67344db9909a830c03e88bdb369cdb785f"}