{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:YTUJXN6SPLLK62CKRAS2UKHQZ7","short_pith_number":"pith:YTUJXN6S","canonical_record":{"source":{"id":"0809.3541","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2008-09-21T00:15:00Z","cross_cats_sorted":["physics.soc-ph","q-fin.ST"],"title_canon_sha256":"4c662ecdbe2a9838c2d910c486175dc877836429ec3dc57be48cb4eb03d3e86b","abstract_canon_sha256":"1b9635a9cccf446079aee2307a02fbc5615f3d8ca33bcb8456b115faa5d9d1d0"},"schema_version":"1.0"},"canonical_sha256":"c4e89bb7d27ad6af684a8825aa28f0cfd4cd292a616e6d9c4d18f128bf74214d","source":{"kind":"arxiv","id":"0809.3541","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.3541","created_at":"2026-05-18T02:15:34Z"},{"alias_kind":"arxiv_version","alias_value":"0809.3541v1","created_at":"2026-05-18T02:15:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.3541","created_at":"2026-05-18T02:15:34Z"},{"alias_kind":"pith_short_12","alias_value":"YTUJXN6SPLLK","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"YTUJXN6SPLLK62CK","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"YTUJXN6S","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:YTUJXN6SPLLK62CKRAS2UKHQZ7","target":"record","payload":{"canonical_record":{"source":{"id":"0809.3541","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2008-09-21T00:15:00Z","cross_cats_sorted":["physics.soc-ph","q-fin.ST"],"title_canon_sha256":"4c662ecdbe2a9838c2d910c486175dc877836429ec3dc57be48cb4eb03d3e86b","abstract_canon_sha256":"1b9635a9cccf446079aee2307a02fbc5615f3d8ca33bcb8456b115faa5d9d1d0"},"schema_version":"1.0"},"canonical_sha256":"c4e89bb7d27ad6af684a8825aa28f0cfd4cd292a616e6d9c4d18f128bf74214d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:34.103515Z","signature_b64":"A+yWmdq6WD7P/dVGJQ2kkkHVpTTgPskHRAzLkiBeo3exArYy02CEFWVZ7xTZ5p0AlBNUdWuq1pIBT17hKqsSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4e89bb7d27ad6af684a8825aa28f0cfd4cd292a616e6d9c4d18f128bf74214d","last_reissued_at":"2026-05-18T02:15:34.102802Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:34.102802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0809.3541","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:15:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/02/iKhI0oR0ya4EBUw7QsjfpXh5RVWdkiFkZMreQ85CdsoQzjwikBd+apY7IVhq6q1TH24PSuppED0W4kqgAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T05:22:31.167650Z"},"content_sha256":"f06fc3ea2f8e49a1da39fe00c7f1874c31faedd47af13fe1fb6c0ac4a61982e6","schema_version":"1.0","event_id":"sha256:f06fc3ea2f8e49a1da39fe00c7f1874c31faedd47af13fe1fb6c0ac4a61982e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:YTUJXN6SPLLK62CKRAS2UKHQZ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Labour Productivity Superstatistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph","q-fin.ST"],"primary_cat":"q-fin.GN","authors_text":"Hideaki Aoyama, Hiroshi Iyetomi, Hiroshi Yoshikawa, Yoshi Fujiwara","submitted_at":"2008-09-21T00:15:00Z","abstract_excerpt":"We discuss superstatistics theory of labour productivity. Productivity distribution across workers, firms and industrial sectors are studied empirically and found to obey power-distributions, in sharp contrast to the equilibrium theories of mainstream economics. The Pareto index is found to decrease with the level of aggregation, {\\it i.e.}, from workers to firms and to industrial sectors. In order to explain these phenomenological laws, we propose a superstatistics framework, where the role of the fluctuating temperature is played by the fluctuating demand."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.3541","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:15:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wgvT/44e5Ac2Qmy6ZJ/uo8UolOJ2BIIYayQaqZtN9RtOQnKPpk8Mo7HgaK2dEhaFPcnnj/d3dRxd27qsTEVFDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T05:22:31.168050Z"},"content_sha256":"1c367ad552c17a96532407a1f9259426c0f5860278978fcecaf43c8929959b3a","schema_version":"1.0","event_id":"sha256:1c367ad552c17a96532407a1f9259426c0f5860278978fcecaf43c8929959b3a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YTUJXN6SPLLK62CKRAS2UKHQZ7/bundle.json","state_url":"https://pith.science/pith/YTUJXN6SPLLK62CKRAS2UKHQZ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YTUJXN6SPLLK62CKRAS2UKHQZ7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T05:22:31Z","links":{"resolver":"https://pith.science/pith/YTUJXN6SPLLK62CKRAS2UKHQZ7","bundle":"https://pith.science/pith/YTUJXN6SPLLK62CKRAS2UKHQZ7/bundle.json","state":"https://pith.science/pith/YTUJXN6SPLLK62CKRAS2UKHQZ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YTUJXN6SPLLK62CKRAS2UKHQZ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:YTUJXN6SPLLK62CKRAS2UKHQZ7","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":"1b9635a9cccf446079aee2307a02fbc5615f3d8ca33bcb8456b115faa5d9d1d0","cross_cats_sorted":["physics.soc-ph","q-fin.ST"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2008-09-21T00:15:00Z","title_canon_sha256":"4c662ecdbe2a9838c2d910c486175dc877836429ec3dc57be48cb4eb03d3e86b"},"schema_version":"1.0","source":{"id":"0809.3541","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.3541","created_at":"2026-05-18T02:15:34Z"},{"alias_kind":"arxiv_version","alias_value":"0809.3541v1","created_at":"2026-05-18T02:15:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.3541","created_at":"2026-05-18T02:15:34Z"},{"alias_kind":"pith_short_12","alias_value":"YTUJXN6SPLLK","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"YTUJXN6SPLLK62CK","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"YTUJXN6S","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:1c367ad552c17a96532407a1f9259426c0f5860278978fcecaf43c8929959b3a","target":"graph","created_at":"2026-05-18T02:15:34Z","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 discuss superstatistics theory of labour productivity. Productivity distribution across workers, firms and industrial sectors are studied empirically and found to obey power-distributions, in sharp contrast to the equilibrium theories of mainstream economics. The Pareto index is found to decrease with the level of aggregation, {\\it i.e.}, from workers to firms and to industrial sectors. In order to explain these phenomenological laws, we propose a superstatistics framework, where the role of the fluctuating temperature is played by the fluctuating demand.","authors_text":"Hideaki Aoyama, Hiroshi Iyetomi, Hiroshi Yoshikawa, Yoshi Fujiwara","cross_cats":["physics.soc-ph","q-fin.ST"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2008-09-21T00:15:00Z","title":"Labour Productivity Superstatistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.3541","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:f06fc3ea2f8e49a1da39fe00c7f1874c31faedd47af13fe1fb6c0ac4a61982e6","target":"record","created_at":"2026-05-18T02:15:34Z","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":"1b9635a9cccf446079aee2307a02fbc5615f3d8ca33bcb8456b115faa5d9d1d0","cross_cats_sorted":["physics.soc-ph","q-fin.ST"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2008-09-21T00:15:00Z","title_canon_sha256":"4c662ecdbe2a9838c2d910c486175dc877836429ec3dc57be48cb4eb03d3e86b"},"schema_version":"1.0","source":{"id":"0809.3541","kind":"arxiv","version":1}},"canonical_sha256":"c4e89bb7d27ad6af684a8825aa28f0cfd4cd292a616e6d9c4d18f128bf74214d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4e89bb7d27ad6af684a8825aa28f0cfd4cd292a616e6d9c4d18f128bf74214d","first_computed_at":"2026-05-18T02:15:34.102802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:34.102802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A+yWmdq6WD7P/dVGJQ2kkkHVpTTgPskHRAzLkiBeo3exArYy02CEFWVZ7xTZ5p0AlBNUdWuq1pIBT17hKqsSBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:34.103515Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.3541","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f06fc3ea2f8e49a1da39fe00c7f1874c31faedd47af13fe1fb6c0ac4a61982e6","sha256:1c367ad552c17a96532407a1f9259426c0f5860278978fcecaf43c8929959b3a"],"state_sha256":"57f46c83a8b439b716180c303d59c698985fdc65d2d1d854568ede1e4913014e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ozyj0I1xdCkKyrmuE+DC60pVt5GIuFMBkrN3taU0Ov7NwM9XsuoAQM8AZsjjw0EAdM2Vcoaa4sfvxL22EEuPBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T05:22:31.170304Z","bundle_sha256":"959248fcf7ebf4050141da1baadc5231d14feb40d5aad728631db1386783ecca"}}