{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LMA4BDAK4S2TE357F72XZ5LQ7J","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":"377e0226b03e327ff5906cbc5372cb164c195e46b98298ce2dfa4e80d0ad3b06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-11-04T01:00:33Z","title_canon_sha256":"d53e5a71f95e9eb2d5423e05081f560457004768d41c900542a539e326e6f8a6"},"schema_version":"1.0","source":{"id":"1511.01174","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.01174","created_at":"2026-05-17T23:58:05Z"},{"alias_kind":"arxiv_version","alias_value":"1511.01174v1","created_at":"2026-05-17T23:58:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.01174","created_at":"2026-05-17T23:58:05Z"},{"alias_kind":"pith_short_12","alias_value":"LMA4BDAK4S2T","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LMA4BDAK4S2TE357","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LMA4BDAK","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:ace83c8daf284eabba93828a0939f4e143958513ff1a7b0bde0e826c325bd6e9","target":"graph","created_at":"2026-05-17T23:58:05Z","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":"The area-perimeter allometric scaling is a basic and important approach for researching fractal cities and has been studied for a long time. However, the boundary dimension of a city is always numerically overestimated by the traditional formula. An adjusting formula has been derived to revise the overestimated boundary dimension and estimate the form dimension, but the association between the global and local fractal parameters is not clear. This paper is devoted to describing the urban evolution by using the improved fractal parameters based on the area-perimeter measure relation. A system o","authors_text":"Jiejing Wang, Yanguang Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-11-04T01:00:33Z","title":"Describing urban evolution with the fractal parameters based on area-perimeter allometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.01174","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":"sha256:2df893bbc827a47cb543206dd0cb70094711fa0c43d7fc258b1a4ec20ea7cc13","target":"record","created_at":"2026-05-17T23:58:05Z","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":"377e0226b03e327ff5906cbc5372cb164c195e46b98298ce2dfa4e80d0ad3b06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-11-04T01:00:33Z","title_canon_sha256":"d53e5a71f95e9eb2d5423e05081f560457004768d41c900542a539e326e6f8a6"},"schema_version":"1.0","source":{"id":"1511.01174","kind":"arxiv","version":1}},"canonical_sha256":"5b01c08c0ae4b5326fbf2ff57cf570fa6a9e267b86024acc3a8b0ef265f2247b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b01c08c0ae4b5326fbf2ff57cf570fa6a9e267b86024acc3a8b0ef265f2247b","first_computed_at":"2026-05-17T23:58:05.908904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:05.908904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hxgz2rCaTbc5wzfya+U9LS+XMGsQOu8NkgwfBMpBSfk2OwfUqms+uAO4lniUmaOFzEzLIiIpTQ8jX8YifBIKBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:05.909405Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.01174","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2df893bbc827a47cb543206dd0cb70094711fa0c43d7fc258b1a4ec20ea7cc13","sha256:ace83c8daf284eabba93828a0939f4e143958513ff1a7b0bde0e826c325bd6e9"],"state_sha256":"e0c902beee2d9a829220389af7eafe1e815e2353d96bbd0f2da4728421926b8c"}