{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:OXFQAQNVNM77255EGVV6KGRMUT","short_pith_number":"pith:OXFQAQNV","canonical_record":{"source":{"id":"1112.2168","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-12-09T18:01:38Z","cross_cats_sorted":[],"title_canon_sha256":"8218f85d0389166775abb609bd771bbcd86027592969e86cc9ed3851393e8dbd","abstract_canon_sha256":"8cd84b31b9c32daad4100a2799b2998c5f23f8e68546fd4c5947f073549c2c1e"},"schema_version":"1.0"},"canonical_sha256":"75cb0041b56b3ffd77a4356be51a2ca4fd6db76d3e25ee598a71138671e1f709","source":{"kind":"arxiv","id":"1112.2168","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2168","created_at":"2026-05-18T04:06:43Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2168v1","created_at":"2026-05-18T04:06:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2168","created_at":"2026-05-18T04:06:43Z"},{"alias_kind":"pith_short_12","alias_value":"OXFQAQNVNM77","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OXFQAQNVNM77255E","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OXFQAQNV","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:OXFQAQNVNM77255EGVV6KGRMUT","target":"record","payload":{"canonical_record":{"source":{"id":"1112.2168","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-12-09T18:01:38Z","cross_cats_sorted":[],"title_canon_sha256":"8218f85d0389166775abb609bd771bbcd86027592969e86cc9ed3851393e8dbd","abstract_canon_sha256":"8cd84b31b9c32daad4100a2799b2998c5f23f8e68546fd4c5947f073549c2c1e"},"schema_version":"1.0"},"canonical_sha256":"75cb0041b56b3ffd77a4356be51a2ca4fd6db76d3e25ee598a71138671e1f709","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:43.959534Z","signature_b64":"C3X909bd/FX3E+mOswuajrD4oX+VjIThnKwN+QWrH3h+rrvsG3A0J/5xCmeUaKoe8jLEaYfLUCwqj33yCUG6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75cb0041b56b3ffd77a4356be51a2ca4fd6db76d3e25ee598a71138671e1f709","last_reissued_at":"2026-05-18T04:06:43.958893Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:43.958893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.2168","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":"2026-05-18T04:06:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sS2FT/q3gxul5+HjX6eRhZgNUMc7h0MrBo+5d0oW0AGRO50DTvZadhEVIi/g7rzLHKAdeAJflLLXDIetPnBWBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T08:25:01.757814Z"},"content_sha256":"834b5760644bd0a8433c021eefd8c5adfbeca35067f94ef04fb2450e99862d09","schema_version":"1.0","event_id":"sha256:834b5760644bd0a8433c021eefd8c5adfbeca35067f94ef04fb2450e99862d09"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:OXFQAQNVNM77255EGVV6KGRMUT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Firm dynamics in a closed, conserved economy: A model of size distribution of employment and related statistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.GN","authors_text":"Anindya S. Chakrabarti","submitted_at":"2011-12-09T18:01:38Z","abstract_excerpt":"We address the issue of the distribution of firm size. To this end we propose a model of firms in a closed, conserved economy populated with zero-intelligence agents who continuously move from one firm to another. We then analyze the size distribution and related statistics obtained from the model. Our ultimate goal is to reproduce the well known statistical features obtained from the panel study of the firms i.e., the power law in size (in terms of income and/or employment), the Laplace distribution in the growth rates and the slowly declining standard deviation of the growth rates conditiona"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2168","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":"2026-05-18T04:06:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BCFArLBD56RoDH/638gXAXwivLOAOt/O+DfN3Qm3xL67pEGXRKKPU8xGuWSwhUnJ8O3E7P9nFFRuwZSk5c81DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T08:25:01.758152Z"},"content_sha256":"38d5f1735c589011149af67f9555ab2d32d94044eea513c909725b52ca724f13","schema_version":"1.0","event_id":"sha256:38d5f1735c589011149af67f9555ab2d32d94044eea513c909725b52ca724f13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OXFQAQNVNM77255EGVV6KGRMUT/bundle.json","state_url":"https://pith.science/pith/OXFQAQNVNM77255EGVV6KGRMUT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OXFQAQNVNM77255EGVV6KGRMUT/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":"2026-06-20T08:25:01Z","links":{"resolver":"https://pith.science/pith/OXFQAQNVNM77255EGVV6KGRMUT","bundle":"https://pith.science/pith/OXFQAQNVNM77255EGVV6KGRMUT/bundle.json","state":"https://pith.science/pith/OXFQAQNVNM77255EGVV6KGRMUT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OXFQAQNVNM77255EGVV6KGRMUT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OXFQAQNVNM77255EGVV6KGRMUT","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":"8cd84b31b9c32daad4100a2799b2998c5f23f8e68546fd4c5947f073549c2c1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-12-09T18:01:38Z","title_canon_sha256":"8218f85d0389166775abb609bd771bbcd86027592969e86cc9ed3851393e8dbd"},"schema_version":"1.0","source":{"id":"1112.2168","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2168","created_at":"2026-05-18T04:06:43Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2168v1","created_at":"2026-05-18T04:06:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2168","created_at":"2026-05-18T04:06:43Z"},{"alias_kind":"pith_short_12","alias_value":"OXFQAQNVNM77","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OXFQAQNVNM77255E","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OXFQAQNV","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:38d5f1735c589011149af67f9555ab2d32d94044eea513c909725b52ca724f13","target":"graph","created_at":"2026-05-18T04:06:43Z","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 address the issue of the distribution of firm size. To this end we propose a model of firms in a closed, conserved economy populated with zero-intelligence agents who continuously move from one firm to another. We then analyze the size distribution and related statistics obtained from the model. Our ultimate goal is to reproduce the well known statistical features obtained from the panel study of the firms i.e., the power law in size (in terms of income and/or employment), the Laplace distribution in the growth rates and the slowly declining standard deviation of the growth rates conditiona","authors_text":"Anindya S. Chakrabarti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-12-09T18:01:38Z","title":"Firm dynamics in a closed, conserved economy: A model of size distribution of employment and related statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2168","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":"sha256:834b5760644bd0a8433c021eefd8c5adfbeca35067f94ef04fb2450e99862d09","target":"record","created_at":"2026-05-18T04:06:43Z","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":"8cd84b31b9c32daad4100a2799b2998c5f23f8e68546fd4c5947f073549c2c1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-12-09T18:01:38Z","title_canon_sha256":"8218f85d0389166775abb609bd771bbcd86027592969e86cc9ed3851393e8dbd"},"schema_version":"1.0","source":{"id":"1112.2168","kind":"arxiv","version":1}},"canonical_sha256":"75cb0041b56b3ffd77a4356be51a2ca4fd6db76d3e25ee598a71138671e1f709","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75cb0041b56b3ffd77a4356be51a2ca4fd6db76d3e25ee598a71138671e1f709","first_computed_at":"2026-05-18T04:06:43.958893Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:43.958893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C3X909bd/FX3E+mOswuajrD4oX+VjIThnKwN+QWrH3h+rrvsG3A0J/5xCmeUaKoe8jLEaYfLUCwqj33yCUG6Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:43.959534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.2168","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:834b5760644bd0a8433c021eefd8c5adfbeca35067f94ef04fb2450e99862d09","sha256:38d5f1735c589011149af67f9555ab2d32d94044eea513c909725b52ca724f13"],"state_sha256":"58fc704a9dbb9ae02b387d1bd659e95acda30ce8a6f7869fc3c7719fc91a7c14"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sKbb5yMwdYmNyGXPxsWrqvr3Qm4FMk8PX2UEOmyiHcEMCSt87kO+zwWSFU9e5m2Li/I6XrE7iwXNw/TeA6bqAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T08:25:01.760064Z","bundle_sha256":"0eb0ec4db80afbf9494ab2094234fdb8456ffef5eafe5f49a11cbb7bcf43548d"}}