{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:TZXETRXJS5QCSMBHS6B3EYUKOR","short_pith_number":"pith:TZXETRXJ","canonical_record":{"source":{"id":"1505.02761","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-05-08T14:02:09Z","cross_cats_sorted":[],"title_canon_sha256":"94f30ada0a6498a4236c128b9914fbbcccf3cab64cbaf699327a275c3e496cde","abstract_canon_sha256":"35f992b4a415baa93fbf0b636945929264258fc9d5ee15e402d5ffabc66c6e3e"},"schema_version":"1.0"},"canonical_sha256":"9e6e49c6e997602930279783b2628a7458456ba802677367ba020c54a24f136c","source":{"kind":"arxiv","id":"1505.02761","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02761","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02761v1","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02761","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"pith_short_12","alias_value":"TZXETRXJS5QC","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"TZXETRXJS5QCSMBH","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"TZXETRXJ","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:TZXETRXJS5QCSMBHS6B3EYUKOR","target":"record","payload":{"canonical_record":{"source":{"id":"1505.02761","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-05-08T14:02:09Z","cross_cats_sorted":[],"title_canon_sha256":"94f30ada0a6498a4236c128b9914fbbcccf3cab64cbaf699327a275c3e496cde","abstract_canon_sha256":"35f992b4a415baa93fbf0b636945929264258fc9d5ee15e402d5ffabc66c6e3e"},"schema_version":"1.0"},"canonical_sha256":"9e6e49c6e997602930279783b2628a7458456ba802677367ba020c54a24f136c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:36.539145Z","signature_b64":"tAhKIr9CYsS59GPrgXKzHG6S+tx18OeegW3HCqLXAWYs89sqBGE0Ys/uMRqdyIAJdufJmDDzy5FmOMA6yucXAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e6e49c6e997602930279783b2628a7458456ba802677367ba020c54a24f136c","last_reissued_at":"2026-05-18T01:20:36.538756Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:36.538756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.02761","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":"2026-05-18T01:20:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"feFuJKJxm++Dw9V9YPAZbXeNz+SUatlTNeYXcST4vPBwIe79pV18jZVm9BC3LteLOYb8ydCIV09gPALMDRJ9Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T04:30:20.874564Z"},"content_sha256":"685547287c8514a91c9e1456d8cd8602d092ac9746801634b6dd0f89055e5c43","schema_version":"1.0","event_id":"sha256:685547287c8514a91c9e1456d8cd8602d092ac9746801634b6dd0f89055e5c43"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:TZXETRXJS5QCSMBHS6B3EYUKOR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Urban transfer entropy across scales","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Carlos Gershenson, Michael Batty, Roberto Murcio, Robin Morphet","submitted_at":"2015-05-08T14:02:09Z","abstract_excerpt":"The morphology of urban agglomeration is studied here in the context of information exchange between different spatio-temporal scales. Cities are multidimensional non-linear phenomena, so understanding the relationships and connectivity between scales is important in determining how the interplay of local/regional urban policies may affect the distribution of urban settlements. In order to quantify these relationships, we follow an information theoretic approach using the concept of Transfer Entropy. Our analysis is based on a stochastic urban fractal model, which mimics urban growing settleme"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02761","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":"2026-05-18T01:20:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Jb0JzH/bdAh+iswK0v86qQInX7MuER5jJNr1AIRbUAbi4TIjFigNDTNnBvER2OPzN1SstpJt5FHVfhVyDdnDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T04:30:20.874906Z"},"content_sha256":"ce818dd4d6da63b4c796091c7b03ecc8afa94a2b8c7b4d91af2cf5ac12611f10","schema_version":"1.0","event_id":"sha256:ce818dd4d6da63b4c796091c7b03ecc8afa94a2b8c7b4d91af2cf5ac12611f10"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TZXETRXJS5QCSMBHS6B3EYUKOR/bundle.json","state_url":"https://pith.science/pith/TZXETRXJS5QCSMBHS6B3EYUKOR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TZXETRXJS5QCSMBHS6B3EYUKOR/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":"2026-06-29T04:30:20Z","links":{"resolver":"https://pith.science/pith/TZXETRXJS5QCSMBHS6B3EYUKOR","bundle":"https://pith.science/pith/TZXETRXJS5QCSMBHS6B3EYUKOR/bundle.json","state":"https://pith.science/pith/TZXETRXJS5QCSMBHS6B3EYUKOR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TZXETRXJS5QCSMBHS6B3EYUKOR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TZXETRXJS5QCSMBHS6B3EYUKOR","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":"35f992b4a415baa93fbf0b636945929264258fc9d5ee15e402d5ffabc66c6e3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-05-08T14:02:09Z","title_canon_sha256":"94f30ada0a6498a4236c128b9914fbbcccf3cab64cbaf699327a275c3e496cde"},"schema_version":"1.0","source":{"id":"1505.02761","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02761","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02761v1","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02761","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"pith_short_12","alias_value":"TZXETRXJS5QC","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"TZXETRXJS5QCSMBH","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"TZXETRXJ","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:ce818dd4d6da63b4c796091c7b03ecc8afa94a2b8c7b4d91af2cf5ac12611f10","target":"graph","created_at":"2026-05-18T01:20:36Z","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 morphology of urban agglomeration is studied here in the context of information exchange between different spatio-temporal scales. Cities are multidimensional non-linear phenomena, so understanding the relationships and connectivity between scales is important in determining how the interplay of local/regional urban policies may affect the distribution of urban settlements. In order to quantify these relationships, we follow an information theoretic approach using the concept of Transfer Entropy. Our analysis is based on a stochastic urban fractal model, which mimics urban growing settleme","authors_text":"Carlos Gershenson, Michael Batty, Roberto Murcio, Robin Morphet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-05-08T14:02:09Z","title":"Urban transfer entropy across scales"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02761","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":"sha256:685547287c8514a91c9e1456d8cd8602d092ac9746801634b6dd0f89055e5c43","target":"record","created_at":"2026-05-18T01:20:36Z","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":"35f992b4a415baa93fbf0b636945929264258fc9d5ee15e402d5ffabc66c6e3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-05-08T14:02:09Z","title_canon_sha256":"94f30ada0a6498a4236c128b9914fbbcccf3cab64cbaf699327a275c3e496cde"},"schema_version":"1.0","source":{"id":"1505.02761","kind":"arxiv","version":1}},"canonical_sha256":"9e6e49c6e997602930279783b2628a7458456ba802677367ba020c54a24f136c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e6e49c6e997602930279783b2628a7458456ba802677367ba020c54a24f136c","first_computed_at":"2026-05-18T01:20:36.538756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:36.538756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tAhKIr9CYsS59GPrgXKzHG6S+tx18OeegW3HCqLXAWYs89sqBGE0Ys/uMRqdyIAJdufJmDDzy5FmOMA6yucXAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:36.539145Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.02761","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:685547287c8514a91c9e1456d8cd8602d092ac9746801634b6dd0f89055e5c43","sha256:ce818dd4d6da63b4c796091c7b03ecc8afa94a2b8c7b4d91af2cf5ac12611f10"],"state_sha256":"6b736b7212c1c605632c40085ec3df331a3118a9fc96369549d4e0351e39dd7a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PwetXmd3VyyzswY+6m+1XtnTf2JNFUXo8gZfY71zVPIE/FxVYcTnuvvp6r4Px6ojwV95iheklGgJXN2OFDbJAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T04:30:20.876755Z","bundle_sha256":"e8b2bd076698ab31537456d276460d5071e7a2192049fb5a9f36da2dba60a76f"}}