{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2AKUAY4FUSKYHNPPEBEZNX2TW3","short_pith_number":"pith:2AKUAY4F","canonical_record":{"source":{"id":"1711.09817","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-11-27T16:37:39Z","cross_cats_sorted":[],"title_canon_sha256":"2f90bdbc33ec1bcb257b4941f8fa228ea085869cb117259df779fae6143e8ec2","abstract_canon_sha256":"8d584e3a93ff7cafe5bdc454cc6e4f9721cb8972e5c50699b1bc6ec6d1120ded"},"schema_version":"1.0"},"canonical_sha256":"d015406385a49583b5ef204996df53b6fc1c51af95a915d289e3183178906209","source":{"kind":"arxiv","id":"1711.09817","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.09817","created_at":"2026-05-18T00:29:34Z"},{"alias_kind":"arxiv_version","alias_value":"1711.09817v1","created_at":"2026-05-18T00:29:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.09817","created_at":"2026-05-18T00:29:34Z"},{"alias_kind":"pith_short_12","alias_value":"2AKUAY4FUSKY","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2AKUAY4FUSKYHNPP","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2AKUAY4F","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2AKUAY4FUSKYHNPPEBEZNX2TW3","target":"record","payload":{"canonical_record":{"source":{"id":"1711.09817","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-11-27T16:37:39Z","cross_cats_sorted":[],"title_canon_sha256":"2f90bdbc33ec1bcb257b4941f8fa228ea085869cb117259df779fae6143e8ec2","abstract_canon_sha256":"8d584e3a93ff7cafe5bdc454cc6e4f9721cb8972e5c50699b1bc6ec6d1120ded"},"schema_version":"1.0"},"canonical_sha256":"d015406385a49583b5ef204996df53b6fc1c51af95a915d289e3183178906209","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:34.413766Z","signature_b64":"JtwjvJkb17UDORM1cUzQTlL6iC/KC9nwXjPjSTBp9GLERxXEp0i/nFHBOkEevuE/oyHJTg9tZSbU7MZTcRyeDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d015406385a49583b5ef204996df53b6fc1c51af95a915d289e3183178906209","last_reissued_at":"2026-05-18T00:29:34.413171Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:34.413171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.09817","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":"2026-05-18T00:29:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NlqnhVPOc/IH/qi811B5cGZrRApJGjXwRjgYU8s3DmjLFjVZP8/oC47efBOPeJzwvS0VgvzI3JrDfO64EM1wDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:11:44.629904Z"},"content_sha256":"428b7c60e325afe1e1a1b50b4411ea1bccf3fe5b266800afa19df5e1c7dc58f1","schema_version":"1.0","event_id":"sha256:428b7c60e325afe1e1a1b50b4411ea1bccf3fe5b266800afa19df5e1c7dc58f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2AKUAY4FUSKYHNPPEBEZNX2TW3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiscale Entropy in the Spatial Context of Cities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Carlos Molinero, Cl\\'ementine Cottineau, Elsa Arcaute, Hadrien Salat, Kiril Stanilov, Martin Barner","submitted_at":"2017-11-27T16:37:39Z","abstract_excerpt":"Entropy relates the fast, microscopic behaviour of the elements in a system to its slow, macroscopic state. We propose to use it to explain how, as complexity theory suggests, small scale decisions of individuals form cities. For this, we offer the first interpretation of entropy for cities that reflects interactions between different places through interdependently linked states in a multiscale approach. With simulated patterns we show that structural complexity in spatial systems can be the most probable configuration if the elements of a system interact across multiple scales. In the case s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.09817","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":"2026-05-18T00:29:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rr847iDCC1NVF+jw//qkyOhgL1lsCrIZ1GHAgD92NkcAlthEYRSgqiYR0DNpXHx9ZR53tDw1D24CzKL16NA+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:11:44.630559Z"},"content_sha256":"274af3b9a176caebfd555fa9159d845995e17bd4a85106c49d3b2313665fca66","schema_version":"1.0","event_id":"sha256:274af3b9a176caebfd555fa9159d845995e17bd4a85106c49d3b2313665fca66"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2AKUAY4FUSKYHNPPEBEZNX2TW3/bundle.json","state_url":"https://pith.science/pith/2AKUAY4FUSKYHNPPEBEZNX2TW3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2AKUAY4FUSKYHNPPEBEZNX2TW3/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":"2026-05-31T21:11:44Z","links":{"resolver":"https://pith.science/pith/2AKUAY4FUSKYHNPPEBEZNX2TW3","bundle":"https://pith.science/pith/2AKUAY4FUSKYHNPPEBEZNX2TW3/bundle.json","state":"https://pith.science/pith/2AKUAY4FUSKYHNPPEBEZNX2TW3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2AKUAY4FUSKYHNPPEBEZNX2TW3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2AKUAY4FUSKYHNPPEBEZNX2TW3","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":"8d584e3a93ff7cafe5bdc454cc6e4f9721cb8972e5c50699b1bc6ec6d1120ded","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-11-27T16:37:39Z","title_canon_sha256":"2f90bdbc33ec1bcb257b4941f8fa228ea085869cb117259df779fae6143e8ec2"},"schema_version":"1.0","source":{"id":"1711.09817","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.09817","created_at":"2026-05-18T00:29:34Z"},{"alias_kind":"arxiv_version","alias_value":"1711.09817v1","created_at":"2026-05-18T00:29:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.09817","created_at":"2026-05-18T00:29:34Z"},{"alias_kind":"pith_short_12","alias_value":"2AKUAY4FUSKY","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2AKUAY4FUSKYHNPP","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2AKUAY4F","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:274af3b9a176caebfd555fa9159d845995e17bd4a85106c49d3b2313665fca66","target":"graph","created_at":"2026-05-18T00:29:34Z","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":"Entropy relates the fast, microscopic behaviour of the elements in a system to its slow, macroscopic state. We propose to use it to explain how, as complexity theory suggests, small scale decisions of individuals form cities. For this, we offer the first interpretation of entropy for cities that reflects interactions between different places through interdependently linked states in a multiscale approach. With simulated patterns we show that structural complexity in spatial systems can be the most probable configuration if the elements of a system interact across multiple scales. In the case s","authors_text":"Carlos Molinero, Cl\\'ementine Cottineau, Elsa Arcaute, Hadrien Salat, Kiril Stanilov, Martin Barner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-11-27T16:37:39Z","title":"Multiscale Entropy in the Spatial Context of Cities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.09817","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":"sha256:428b7c60e325afe1e1a1b50b4411ea1bccf3fe5b266800afa19df5e1c7dc58f1","target":"record","created_at":"2026-05-18T00:29:34Z","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":"8d584e3a93ff7cafe5bdc454cc6e4f9721cb8972e5c50699b1bc6ec6d1120ded","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-11-27T16:37:39Z","title_canon_sha256":"2f90bdbc33ec1bcb257b4941f8fa228ea085869cb117259df779fae6143e8ec2"},"schema_version":"1.0","source":{"id":"1711.09817","kind":"arxiv","version":1}},"canonical_sha256":"d015406385a49583b5ef204996df53b6fc1c51af95a915d289e3183178906209","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d015406385a49583b5ef204996df53b6fc1c51af95a915d289e3183178906209","first_computed_at":"2026-05-18T00:29:34.413171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:34.413171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JtwjvJkb17UDORM1cUzQTlL6iC/KC9nwXjPjSTBp9GLERxXEp0i/nFHBOkEevuE/oyHJTg9tZSbU7MZTcRyeDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:34.413766Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.09817","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:428b7c60e325afe1e1a1b50b4411ea1bccf3fe5b266800afa19df5e1c7dc58f1","sha256:274af3b9a176caebfd555fa9159d845995e17bd4a85106c49d3b2313665fca66"],"state_sha256":"4b7666c9a414cbe1682022abba479f416d62dfc322164168e137244da21c3cad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oGfJxPYAQErTG/bW0HRFhuLeUTTf0rLX/LrlNQ6om7WWG3KAyR0ZU32AABauDRi9W/igjdDW0b19PgWpoJn+Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T21:11:44.633420Z","bundle_sha256":"4fbf7bd49c1166b718bf1387bc7b1e42b7f77552518fb6ce0913c81e92b49571"}}