{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:NTKN7N3CZ3I47DCAR3GTYZYGHM","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":"92fb7e6d8f6537c6e497e31066b5d87c8297c273e45727440639f6f4a44d77c3","cross_cats_sorted":["q-fin.EC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.GN","submitted_at":"2024-11-11T10:54:19Z","title_canon_sha256":"cc927e98e2e18fb866d2f2e26d773a39c9588c472ddd8500604a76c4c3b6cb5a"},"schema_version":"1.0","source":{"id":"2411.08067","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.08067","created_at":"2026-07-05T09:34:40Z"},{"alias_kind":"arxiv_version","alias_value":"2411.08067v1","created_at":"2026-07-05T09:34:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.08067","created_at":"2026-07-05T09:34:40Z"},{"alias_kind":"pith_short_12","alias_value":"NTKN7N3CZ3I4","created_at":"2026-07-05T09:34:40Z"},{"alias_kind":"pith_short_16","alias_value":"NTKN7N3CZ3I47DCA","created_at":"2026-07-05T09:34:40Z"},{"alias_kind":"pith_short_8","alias_value":"NTKN7N3C","created_at":"2026-07-05T09:34:40Z"}],"graph_snapshots":[{"event_id":"sha256:f0c7e2d814c8baf2c0a03819b599c148553a73084261e811f94c06859f462eef","target":"graph","created_at":"2026-07-05T09:34:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.08067/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This note observes that the Cobb-Douglas function is uniquely characterized by the property that, if the labour share of cost for a constant-returns-to-scale firm remains constant when the firm minimizes its cost for any given output level, then the firm's production function must be Cobb-Douglas.","authors_text":"Richard Vale","cross_cats":["q-fin.EC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.GN","submitted_at":"2024-11-11T10:54:19Z","title":"A note on the Cobb-Douglas function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.08067","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:e3a7d24d11ab29991f299f06203c860989e225ff0ac3454761a59b48f92eb73c","target":"record","created_at":"2026-07-05T09:34:40Z","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":"92fb7e6d8f6537c6e497e31066b5d87c8297c273e45727440639f6f4a44d77c3","cross_cats_sorted":["q-fin.EC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.GN","submitted_at":"2024-11-11T10:54:19Z","title_canon_sha256":"cc927e98e2e18fb866d2f2e26d773a39c9588c472ddd8500604a76c4c3b6cb5a"},"schema_version":"1.0","source":{"id":"2411.08067","kind":"arxiv","version":1}},"canonical_sha256":"6cd4dfb762ced1cf8c408ecd3c67063b332fba4d89d2daeea02f9269ceb34092","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cd4dfb762ced1cf8c408ecd3c67063b332fba4d89d2daeea02f9269ceb34092","first_computed_at":"2026-07-05T09:34:40.995389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:34:40.995389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sRnHAJhN5QqVsS40A7yNP8u+yNG+Q+B3ne+Is277u2PnsUDav42lNOAjmyYCzsJPPNwCv9ZzYnkulbft8cthCA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:34:40.996106Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.08067","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3a7d24d11ab29991f299f06203c860989e225ff0ac3454761a59b48f92eb73c","sha256:f0c7e2d814c8baf2c0a03819b599c148553a73084261e811f94c06859f462eef"],"state_sha256":"188d01519c6e8948651a342ff2148268d22e22e19c8ab9e8640a62e2064f6a3a"}