{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:X7EGM4USYT4CJH4ZEGLVDY45PM","short_pith_number":"pith:X7EGM4US","canonical_record":{"source":{"id":"1809.08786","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-09-24T07:53:50Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"b40e09afd3ff7f04074db1c53185356d3af01fbf46ea129aed3e26256681947f","abstract_canon_sha256":"09aab7aadd187ddf8254bf864cea98153483d6af7c84175547f788a0cdfa90e1"},"schema_version":"1.0"},"canonical_sha256":"bfc8667292c4f8249f99219751e39d7b3f3d7d4aec0ab7c59947b4a627ad090d","source":{"kind":"arxiv","id":"1809.08786","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.08786","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"arxiv_version","alias_value":"1809.08786v3","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.08786","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"pith_short_12","alias_value":"X7EGM4USYT4C","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"X7EGM4USYT4CJH4Z","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"X7EGM4US","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:X7EGM4USYT4CJH4ZEGLVDY45PM","target":"record","payload":{"canonical_record":{"source":{"id":"1809.08786","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-09-24T07:53:50Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"b40e09afd3ff7f04074db1c53185356d3af01fbf46ea129aed3e26256681947f","abstract_canon_sha256":"09aab7aadd187ddf8254bf864cea98153483d6af7c84175547f788a0cdfa90e1"},"schema_version":"1.0"},"canonical_sha256":"bfc8667292c4f8249f99219751e39d7b3f3d7d4aec0ab7c59947b4a627ad090d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:29.477458Z","signature_b64":"Eo4vzGk9Ma0CEAzg5/g4cVd06apRvVMc/Ac+fLP+NLbxS5j9c3dZ3HLFoWJPCRkde21TcOVuGTqsRHCsITInAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfc8667292c4f8249f99219751e39d7b3f3d7d4aec0ab7c59947b4a627ad090d","last_reissued_at":"2026-05-17T23:42:29.476898Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:29.476898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.08786","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:42:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d5De0/o+fhO2g+sceWBNr87r6n6dPBo9H08lwBFVXtz57mhjRmDNjEN/p1V2FQw03M+RSLTUU4QxG1CQ9L2YDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:04:34.709150Z"},"content_sha256":"691a175c270d6337f974a58dc3564a78a05ddec2fa18fffb88f8f1d895290156","schema_version":"1.0","event_id":"sha256:691a175c270d6337f974a58dc3564a78a05ddec2fa18fffb88f8f1d895290156"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:X7EGM4USYT4CJH4ZEGLVDY45PM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal City-size distributions through rank ordering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.soc-ph","authors_text":"Abhik Ghosh, Banasri Basu","submitted_at":"2018-09-24T07:53:50Z","abstract_excerpt":"We consider a two-parameter discrete generalized beta (DGB) distribution and propose its universal applications to study the size-distribution of the urban agglomerations across various countries in the world, where the urban agglomerations include the small and mid-sized cities along with the heavily populated cities. Our proposition is validated by an exhaustive study with the 3 decades' census data for India and China and census data of USA for a time window of 8 years. Moreover, we have studied the city size distributions for many different countries, like Brazil, Italy, Sweden, Australia,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.08786","kind":"arxiv","version":3},"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":"2026-05-17T23:42:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XxkStir3cod8GhWVjYTvJ94+nkLx/vqJXhmP/53CzFKpSmYiJscX5s6JNYieb2kqhbARyL5l7L3a/WSovRAXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:04:34.709851Z"},"content_sha256":"352a18ceed9e5a9c36271b9ccf8ef6353c65994dfd1afb7bdf4b943cb03d777c","schema_version":"1.0","event_id":"sha256:352a18ceed9e5a9c36271b9ccf8ef6353c65994dfd1afb7bdf4b943cb03d777c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X7EGM4USYT4CJH4ZEGLVDY45PM/bundle.json","state_url":"https://pith.science/pith/X7EGM4USYT4CJH4ZEGLVDY45PM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X7EGM4USYT4CJH4ZEGLVDY45PM/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":"2026-05-26T21:04:34Z","links":{"resolver":"https://pith.science/pith/X7EGM4USYT4CJH4ZEGLVDY45PM","bundle":"https://pith.science/pith/X7EGM4USYT4CJH4ZEGLVDY45PM/bundle.json","state":"https://pith.science/pith/X7EGM4USYT4CJH4ZEGLVDY45PM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X7EGM4USYT4CJH4ZEGLVDY45PM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:X7EGM4USYT4CJH4ZEGLVDY45PM","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":"09aab7aadd187ddf8254bf864cea98153483d6af7c84175547f788a0cdfa90e1","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-09-24T07:53:50Z","title_canon_sha256":"b40e09afd3ff7f04074db1c53185356d3af01fbf46ea129aed3e26256681947f"},"schema_version":"1.0","source":{"id":"1809.08786","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.08786","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"arxiv_version","alias_value":"1809.08786v3","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.08786","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"pith_short_12","alias_value":"X7EGM4USYT4C","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"X7EGM4USYT4CJH4Z","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"X7EGM4US","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:352a18ceed9e5a9c36271b9ccf8ef6353c65994dfd1afb7bdf4b943cb03d777c","target":"graph","created_at":"2026-05-17T23:42:29Z","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 consider a two-parameter discrete generalized beta (DGB) distribution and propose its universal applications to study the size-distribution of the urban agglomerations across various countries in the world, where the urban agglomerations include the small and mid-sized cities along with the heavily populated cities. Our proposition is validated by an exhaustive study with the 3 decades' census data for India and China and census data of USA for a time window of 8 years. Moreover, we have studied the city size distributions for many different countries, like Brazil, Italy, Sweden, Australia,","authors_text":"Abhik Ghosh, Banasri Basu","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-09-24T07:53:50Z","title":"Universal City-size distributions through rank ordering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.08786","kind":"arxiv","version":3},"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":"sha256:691a175c270d6337f974a58dc3564a78a05ddec2fa18fffb88f8f1d895290156","target":"record","created_at":"2026-05-17T23:42:29Z","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":"09aab7aadd187ddf8254bf864cea98153483d6af7c84175547f788a0cdfa90e1","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-09-24T07:53:50Z","title_canon_sha256":"b40e09afd3ff7f04074db1c53185356d3af01fbf46ea129aed3e26256681947f"},"schema_version":"1.0","source":{"id":"1809.08786","kind":"arxiv","version":3}},"canonical_sha256":"bfc8667292c4f8249f99219751e39d7b3f3d7d4aec0ab7c59947b4a627ad090d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfc8667292c4f8249f99219751e39d7b3f3d7d4aec0ab7c59947b4a627ad090d","first_computed_at":"2026-05-17T23:42:29.476898Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:29.476898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Eo4vzGk9Ma0CEAzg5/g4cVd06apRvVMc/Ac+fLP+NLbxS5j9c3dZ3HLFoWJPCRkde21TcOVuGTqsRHCsITInAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:29.477458Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.08786","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:691a175c270d6337f974a58dc3564a78a05ddec2fa18fffb88f8f1d895290156","sha256:352a18ceed9e5a9c36271b9ccf8ef6353c65994dfd1afb7bdf4b943cb03d777c"],"state_sha256":"9c9c4e21fed83c404788f269f6d631adb207d478fd398229a5ccbc7c6cf3c873"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oe6tKr0kVfMtTqpqRkIuXZQ3bfhVBShqehwDZClXgve9cYj/wiMsxOTa4+3kKYbyemOFW5gu5/3zvD9msdA6AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T21:04:34.713032Z","bundle_sha256":"ec4d0fcf248fca368e8e8e71ce92cb19ebd5720db237f5d7a58b93b1cc05a474"}}