{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:5GFDWSV73AKH4P3CCAQ26UHCKN","short_pith_number":"pith:5GFDWSV7","canonical_record":{"source":{"id":"nlin/0502008","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"nlin.PS","submitted_at":"2005-02-04T00:38:19Z","cross_cats_sorted":[],"title_canon_sha256":"38dd8de11db5c08f3f006058c467e863f8d84fbe6553fba619e160cd26d7afa2","abstract_canon_sha256":"936d7cb17ac91d6283bf85d38654510ab96aba69618b50b90dd1125910c73560"},"schema_version":"1.0"},"canonical_sha256":"e98a3b4abfd8147e3f621021af50e2537f1d39981abb36c635d00520d3d1bef2","source":{"kind":"arxiv","id":"nlin/0502008","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0502008","created_at":"2026-05-18T03:24:21Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0502008v3","created_at":"2026-05-18T03:24:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0502008","created_at":"2026-05-18T03:24:21Z"},{"alias_kind":"pith_short_12","alias_value":"5GFDWSV73AKH","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"5GFDWSV73AKH4P3C","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"5GFDWSV7","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:5GFDWSV73AKH4P3CCAQ26UHCKN","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0502008","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"nlin.PS","submitted_at":"2005-02-04T00:38:19Z","cross_cats_sorted":[],"title_canon_sha256":"38dd8de11db5c08f3f006058c467e863f8d84fbe6553fba619e160cd26d7afa2","abstract_canon_sha256":"936d7cb17ac91d6283bf85d38654510ab96aba69618b50b90dd1125910c73560"},"schema_version":"1.0"},"canonical_sha256":"e98a3b4abfd8147e3f621021af50e2537f1d39981abb36c635d00520d3d1bef2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:21.428313Z","signature_b64":"cXNKmyGqMZ4fSLljN2myje6lgztKRbH9juayQdVLgNV09Y/S4K8g3NaPexCCp8uhvxDXBPeabHtYrT5d447oCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e98a3b4abfd8147e3f621021af50e2537f1d39981abb36c635d00520d3d1bef2","last_reissued_at":"2026-05-18T03:24:21.427731Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:21.427731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0502008","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":"2026-05-18T03:24:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HDNHWbIFW9uRqzDxLZHYfclbYTMjW+TWl6VvlzHeWeN2tpq5GJHTNO0gPW7sWR8QwiQPi8NS7w9FBkJvVIk6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:42:39.299258Z"},"content_sha256":"6355184caeb745531c97734e895d47a9db09c5aa6e6e0a783885bffa04ba6697","schema_version":"1.0","event_id":"sha256:6355184caeb745531c97734e895d47a9db09c5aa6e6e0a783885bffa04ba6697"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:5GFDWSV73AKH4P3CCAQ26UHCKN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Formation of Multifractal Population Patterns from Reproductive Growth and Local Resettlement","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Brian R. Hunt, Edward Ott, Jonathan Ozik","submitted_at":"2005-02-04T00:38:19Z","abstract_excerpt":"We consider the general character of the spatial distribution of a population that grows through reproduction and subsequent local resettlement of new population members. We present several simple one and two-dimensional point placement models to illustrate possible generic behavior of these distributions. We show, numerically and analytically, that these models all lead to multifractal spatial distributions of population. Additionally, we make qualitative links between our models and the example of the Earth at Night image, showing the Earth's nighttime man-made light as seen from space. The "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0502008","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":"2026-05-18T03:24:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nno3ToF1s0qmdyyQGhfvC5NObwt+bUEWWqFOPG8v7JYj94ncuqvHDDKJiZod6GSo+1X7c2Hym6H2yPAE1NmJBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:42:39.300047Z"},"content_sha256":"a3aa270895adc660d72d142228152ba5c813120f17212e53ace5f041d679c264","schema_version":"1.0","event_id":"sha256:a3aa270895adc660d72d142228152ba5c813120f17212e53ace5f041d679c264"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5GFDWSV73AKH4P3CCAQ26UHCKN/bundle.json","state_url":"https://pith.science/pith/5GFDWSV73AKH4P3CCAQ26UHCKN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5GFDWSV73AKH4P3CCAQ26UHCKN/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":"2026-05-30T07:42:39Z","links":{"resolver":"https://pith.science/pith/5GFDWSV73AKH4P3CCAQ26UHCKN","bundle":"https://pith.science/pith/5GFDWSV73AKH4P3CCAQ26UHCKN/bundle.json","state":"https://pith.science/pith/5GFDWSV73AKH4P3CCAQ26UHCKN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5GFDWSV73AKH4P3CCAQ26UHCKN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:5GFDWSV73AKH4P3CCAQ26UHCKN","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":"936d7cb17ac91d6283bf85d38654510ab96aba69618b50b90dd1125910c73560","cross_cats_sorted":[],"license":"","primary_cat":"nlin.PS","submitted_at":"2005-02-04T00:38:19Z","title_canon_sha256":"38dd8de11db5c08f3f006058c467e863f8d84fbe6553fba619e160cd26d7afa2"},"schema_version":"1.0","source":{"id":"nlin/0502008","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0502008","created_at":"2026-05-18T03:24:21Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0502008v3","created_at":"2026-05-18T03:24:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0502008","created_at":"2026-05-18T03:24:21Z"},{"alias_kind":"pith_short_12","alias_value":"5GFDWSV73AKH","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"5GFDWSV73AKH4P3C","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"5GFDWSV7","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:a3aa270895adc660d72d142228152ba5c813120f17212e53ace5f041d679c264","target":"graph","created_at":"2026-05-18T03:24:21Z","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 the general character of the spatial distribution of a population that grows through reproduction and subsequent local resettlement of new population members. We present several simple one and two-dimensional point placement models to illustrate possible generic behavior of these distributions. We show, numerically and analytically, that these models all lead to multifractal spatial distributions of population. Additionally, we make qualitative links between our models and the example of the Earth at Night image, showing the Earth's nighttime man-made light as seen from space. The ","authors_text":"Brian R. Hunt, Edward Ott, Jonathan Ozik","cross_cats":[],"headline":"","license":"","primary_cat":"nlin.PS","submitted_at":"2005-02-04T00:38:19Z","title":"Formation of Multifractal Population Patterns from Reproductive Growth and Local Resettlement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0502008","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":"sha256:6355184caeb745531c97734e895d47a9db09c5aa6e6e0a783885bffa04ba6697","target":"record","created_at":"2026-05-18T03:24:21Z","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":"936d7cb17ac91d6283bf85d38654510ab96aba69618b50b90dd1125910c73560","cross_cats_sorted":[],"license":"","primary_cat":"nlin.PS","submitted_at":"2005-02-04T00:38:19Z","title_canon_sha256":"38dd8de11db5c08f3f006058c467e863f8d84fbe6553fba619e160cd26d7afa2"},"schema_version":"1.0","source":{"id":"nlin/0502008","kind":"arxiv","version":3}},"canonical_sha256":"e98a3b4abfd8147e3f621021af50e2537f1d39981abb36c635d00520d3d1bef2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e98a3b4abfd8147e3f621021af50e2537f1d39981abb36c635d00520d3d1bef2","first_computed_at":"2026-05-18T03:24:21.427731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:21.427731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cXNKmyGqMZ4fSLljN2myje6lgztKRbH9juayQdVLgNV09Y/S4K8g3NaPexCCp8uhvxDXBPeabHtYrT5d447oCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:21.428313Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0502008","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6355184caeb745531c97734e895d47a9db09c5aa6e6e0a783885bffa04ba6697","sha256:a3aa270895adc660d72d142228152ba5c813120f17212e53ace5f041d679c264"],"state_sha256":"6bdab7e13226fa48799a4a7dc4650c693ac697ce321674317830791101014052"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dhas49ydNHHj/JI5F+Dgr0sZF9TPgp2Y1R38Up4XSCpVHKAHI7muoM2CVGO2ugh+Bx6OZg97iqBEnCmV92DuAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:42:39.304280Z","bundle_sha256":"0025f55e3103eddfe2e5e4fd2314d52ef26978b2ef680532a88424a9ab082a3e"}}