{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:FWAX4TXVYTBTKENY3QX5PVZL2K","short_pith_number":"pith:FWAX4TXV","canonical_record":{"source":{"id":"cond-mat/0509180","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-09-07T16:35:18Z","cross_cats_sorted":[],"title_canon_sha256":"baa4186cc76806e616d99fdc6bf1c2e13bf40ac44ae3b36b0fc21b23d68da7c8","abstract_canon_sha256":"6d1735bcc053d0b73b90d1a9d8fad6942a06caca7526ec228a5ffe17caf50b34"},"schema_version":"1.0"},"canonical_sha256":"2d817e4ef5c4c33511b8dc2fd7d72bd296a44ca48a2878d075e932881d2d783e","source":{"kind":"arxiv","id":"cond-mat/0509180","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0509180","created_at":"2026-05-18T03:56:58Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0509180v2","created_at":"2026-05-18T03:56:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0509180","created_at":"2026-05-18T03:56:58Z"},{"alias_kind":"pith_short_12","alias_value":"FWAX4TXVYTBT","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"FWAX4TXVYTBTKENY","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"FWAX4TXV","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:FWAX4TXVYTBTKENY3QX5PVZL2K","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0509180","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-09-07T16:35:18Z","cross_cats_sorted":[],"title_canon_sha256":"baa4186cc76806e616d99fdc6bf1c2e13bf40ac44ae3b36b0fc21b23d68da7c8","abstract_canon_sha256":"6d1735bcc053d0b73b90d1a9d8fad6942a06caca7526ec228a5ffe17caf50b34"},"schema_version":"1.0"},"canonical_sha256":"2d817e4ef5c4c33511b8dc2fd7d72bd296a44ca48a2878d075e932881d2d783e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:58.608593Z","signature_b64":"Xncy+devSi5j7F6SEt2VREVksWuPS8BoLIt7Ju9Ke0hPf5iPMweDqOcCSqHEYtOspVNdT8rNBjr/rcYSWW9iDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d817e4ef5c4c33511b8dc2fd7d72bd296a44ca48a2878d075e932881d2d783e","last_reissued_at":"2026-05-18T03:56:58.607655Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:58.607655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0509180","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:56:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"57e6pfCzmJDq6Wh9YTG81xdi9YdANHl21Uf2L0PG8PsololWziqrIgZXaKSGMwzASDq41g0vbqP6NJ8YUT8nBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:32:32.145956Z"},"content_sha256":"6be90e29720c3a9c8fca75cf2c9219574bdd8c72845591b97b86fedc6f9cfd0c","schema_version":"1.0","event_id":"sha256:6be90e29720c3a9c8fca75cf2c9219574bdd8c72845591b97b86fedc6f9cfd0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:FWAX4TXVYTBTKENY3QX5PVZL2K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Power-law distributions from additive preferential redistributions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Suhan Ree","submitted_at":"2005-09-07T16:35:18Z","abstract_excerpt":"We introduce a non-growth model that generates the power-law distribution with the Zipf exponent. There are N elements, each of which is characterized by a quantity, and at each time step these quantities are redistributed through binary random interactions with a simple additive preferential rule, while the sum of quantities is conserved. The situation described by this model is similar to those of closed $N$-particle systems when conservative two-body collisions are only allowed. We obtain stationary distributions of these quantities both analytically and numerically while varying parameters"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0509180","kind":"arxiv","version":2},"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":"2026-05-18T03:56:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WSdIKFiOXORxKmLsdhQf2HOUof43Io3ocdb36uRWtKmtBhOKMt6vTb1JZpo39caXseM1QrJ/y7cYX7llKFC2DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:32:32.146304Z"},"content_sha256":"ad7840b642233c27510e7e1ff38765278aa3d5c375ea380b98d8d5571aa122a4","schema_version":"1.0","event_id":"sha256:ad7840b642233c27510e7e1ff38765278aa3d5c375ea380b98d8d5571aa122a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FWAX4TXVYTBTKENY3QX5PVZL2K/bundle.json","state_url":"https://pith.science/pith/FWAX4TXVYTBTKENY3QX5PVZL2K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FWAX4TXVYTBTKENY3QX5PVZL2K/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":"2026-06-04T06:32:32Z","links":{"resolver":"https://pith.science/pith/FWAX4TXVYTBTKENY3QX5PVZL2K","bundle":"https://pith.science/pith/FWAX4TXVYTBTKENY3QX5PVZL2K/bundle.json","state":"https://pith.science/pith/FWAX4TXVYTBTKENY3QX5PVZL2K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FWAX4TXVYTBTKENY3QX5PVZL2K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:FWAX4TXVYTBTKENY3QX5PVZL2K","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":"6d1735bcc053d0b73b90d1a9d8fad6942a06caca7526ec228a5ffe17caf50b34","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-09-07T16:35:18Z","title_canon_sha256":"baa4186cc76806e616d99fdc6bf1c2e13bf40ac44ae3b36b0fc21b23d68da7c8"},"schema_version":"1.0","source":{"id":"cond-mat/0509180","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0509180","created_at":"2026-05-18T03:56:58Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0509180v2","created_at":"2026-05-18T03:56:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0509180","created_at":"2026-05-18T03:56:58Z"},{"alias_kind":"pith_short_12","alias_value":"FWAX4TXVYTBT","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"FWAX4TXVYTBTKENY","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"FWAX4TXV","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:ad7840b642233c27510e7e1ff38765278aa3d5c375ea380b98d8d5571aa122a4","target":"graph","created_at":"2026-05-18T03:56:58Z","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 introduce a non-growth model that generates the power-law distribution with the Zipf exponent. There are N elements, each of which is characterized by a quantity, and at each time step these quantities are redistributed through binary random interactions with a simple additive preferential rule, while the sum of quantities is conserved. The situation described by this model is similar to those of closed $N$-particle systems when conservative two-body collisions are only allowed. We obtain stationary distributions of these quantities both analytically and numerically while varying parameters","authors_text":"Suhan Ree","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-09-07T16:35:18Z","title":"Power-law distributions from additive preferential redistributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0509180","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":"sha256:6be90e29720c3a9c8fca75cf2c9219574bdd8c72845591b97b86fedc6f9cfd0c","target":"record","created_at":"2026-05-18T03:56:58Z","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":"6d1735bcc053d0b73b90d1a9d8fad6942a06caca7526ec228a5ffe17caf50b34","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-09-07T16:35:18Z","title_canon_sha256":"baa4186cc76806e616d99fdc6bf1c2e13bf40ac44ae3b36b0fc21b23d68da7c8"},"schema_version":"1.0","source":{"id":"cond-mat/0509180","kind":"arxiv","version":2}},"canonical_sha256":"2d817e4ef5c4c33511b8dc2fd7d72bd296a44ca48a2878d075e932881d2d783e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d817e4ef5c4c33511b8dc2fd7d72bd296a44ca48a2878d075e932881d2d783e","first_computed_at":"2026-05-18T03:56:58.607655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:58.607655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xncy+devSi5j7F6SEt2VREVksWuPS8BoLIt7Ju9Ke0hPf5iPMweDqOcCSqHEYtOspVNdT8rNBjr/rcYSWW9iDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:58.608593Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0509180","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6be90e29720c3a9c8fca75cf2c9219574bdd8c72845591b97b86fedc6f9cfd0c","sha256:ad7840b642233c27510e7e1ff38765278aa3d5c375ea380b98d8d5571aa122a4"],"state_sha256":"e04a1f1ca6fec5c192fd56e1e85821a9acaaabb1ddce750a7577423ff9a152c0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eFB20ODX5FKZXZnwfcHaRGdbkGlnQrutlqo4bvpsM897JFyJM+qKQ5tkvE36SAC/Fc7lR4qJ1gIaX6QxJ5Y2Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:32:32.148516Z","bundle_sha256":"4f6a6147c2ed9d5a6eb5573b22d8bd49161dcfba8679d78765ce07ec4dd9eb29"}}