{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:AR4WULDR45P4LK7H6DULXZ5UQ3","short_pith_number":"pith:AR4WULDR","canonical_record":{"source":{"id":"1708.03475","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-08-11T08:53:12Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"9c1efefd7ff3a99869ce30ce8bd92353026d16925ed590bc58299af3bdd00517","abstract_canon_sha256":"44fc56d2c5e918b49c5f33cac5dfea840bfe757d685ca2e961c14cf6749e4804"},"schema_version":"1.0"},"canonical_sha256":"04796a2c71e75fc5abe7f0e8bbe7b486ffc6b3bcdca72585d509d5912eb2cd18","source":{"kind":"arxiv","id":"1708.03475","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03475","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03475v3","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03475","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"pith_short_12","alias_value":"AR4WULDR45P4","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AR4WULDR45P4LK7H","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AR4WULDR","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:AR4WULDR45P4LK7H6DULXZ5UQ3","target":"record","payload":{"canonical_record":{"source":{"id":"1708.03475","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-08-11T08:53:12Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"9c1efefd7ff3a99869ce30ce8bd92353026d16925ed590bc58299af3bdd00517","abstract_canon_sha256":"44fc56d2c5e918b49c5f33cac5dfea840bfe757d685ca2e961c14cf6749e4804"},"schema_version":"1.0"},"canonical_sha256":"04796a2c71e75fc5abe7f0e8bbe7b486ffc6b3bcdca72585d509d5912eb2cd18","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:14.779835Z","signature_b64":"+x4Nq9hQ0+/hKQJ3U9yiPLEkUynh96gGd6sYsqNhVhmtzPi2oDgS9nJ8X6UNEfrPHDdIHfMiwWL4afe6zks4Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04796a2c71e75fc5abe7f0e8bbe7b486ffc6b3bcdca72585d509d5912eb2cd18","last_reissued_at":"2026-05-18T00:28:14.779082Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:14.779082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.03475","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":"2026-05-18T00:28:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0FJMyukp7OA5Qq0LuiHklOgY4DC9C4DR7FqrcZiv/So1/XmHgzftaYe5ab1RToBonE70sr+zZJIKmC/ayf5oAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:48:31.095881Z"},"content_sha256":"74924f51a7cca19073e23e3248bf2de85c13f8ede49e0053a0f53aa66c35c587","schema_version":"1.0","event_id":"sha256:74924f51a7cca19073e23e3248bf2de85c13f8ede49e0053a0f53aa66c35c587"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:AR4WULDR45P4LK7H6DULXZ5UQ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic spatial models in ecology: a statistical physics approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"q-bio.PE","authors_text":"Daniel Molina, Massimo Cencini, Miguel A. Mu\\~noz, Simone Pigolotti","submitted_at":"2017-08-11T08:53:12Z","abstract_excerpt":"Ecosystems display a complex spatial organization. Ecologists have long tried to characterize them by looking at how different measures of biodiversity change across spatial scales. Ecological neutral theory has provided simple predictions accounting for general empirical patterns in communities of competing species. However, while neutral theory in well-mixed ecosystems is mathematically well understood, spatial models still present several open problems, limiting the quantitative understanding of spatial biodiversity. In this review, we discuss the state of the art in spatial neutral theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03475","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":"2026-05-18T00:28:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yrhjwk4ClVhtuZgLhyi3eFia5Ksb1iVxCY/eqcT1W3/rtzRJQAsA8Z6muNCSr+kZbgtGO4smFEXQQyo2qMvBBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:48:31.096540Z"},"content_sha256":"f76d50569b4ad9277510df3e614bb1701c6ce2c4538aed72c8a9514ef32004d9","schema_version":"1.0","event_id":"sha256:f76d50569b4ad9277510df3e614bb1701c6ce2c4538aed72c8a9514ef32004d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AR4WULDR45P4LK7H6DULXZ5UQ3/bundle.json","state_url":"https://pith.science/pith/AR4WULDR45P4LK7H6DULXZ5UQ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AR4WULDR45P4LK7H6DULXZ5UQ3/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":"2026-06-04T06:48:31Z","links":{"resolver":"https://pith.science/pith/AR4WULDR45P4LK7H6DULXZ5UQ3","bundle":"https://pith.science/pith/AR4WULDR45P4LK7H6DULXZ5UQ3/bundle.json","state":"https://pith.science/pith/AR4WULDR45P4LK7H6DULXZ5UQ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AR4WULDR45P4LK7H6DULXZ5UQ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AR4WULDR45P4LK7H6DULXZ5UQ3","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":"44fc56d2c5e918b49c5f33cac5dfea840bfe757d685ca2e961c14cf6749e4804","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-08-11T08:53:12Z","title_canon_sha256":"9c1efefd7ff3a99869ce30ce8bd92353026d16925ed590bc58299af3bdd00517"},"schema_version":"1.0","source":{"id":"1708.03475","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03475","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03475v3","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03475","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"pith_short_12","alias_value":"AR4WULDR45P4","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AR4WULDR45P4LK7H","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AR4WULDR","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:f76d50569b4ad9277510df3e614bb1701c6ce2c4538aed72c8a9514ef32004d9","target":"graph","created_at":"2026-05-18T00:28:14Z","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":"Ecosystems display a complex spatial organization. Ecologists have long tried to characterize them by looking at how different measures of biodiversity change across spatial scales. Ecological neutral theory has provided simple predictions accounting for general empirical patterns in communities of competing species. However, while neutral theory in well-mixed ecosystems is mathematically well understood, spatial models still present several open problems, limiting the quantitative understanding of spatial biodiversity. In this review, we discuss the state of the art in spatial neutral theory.","authors_text":"Daniel Molina, Massimo Cencini, Miguel A. Mu\\~noz, Simone Pigolotti","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-08-11T08:53:12Z","title":"Stochastic spatial models in ecology: a statistical physics approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03475","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":"sha256:74924f51a7cca19073e23e3248bf2de85c13f8ede49e0053a0f53aa66c35c587","target":"record","created_at":"2026-05-18T00:28:14Z","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":"44fc56d2c5e918b49c5f33cac5dfea840bfe757d685ca2e961c14cf6749e4804","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-08-11T08:53:12Z","title_canon_sha256":"9c1efefd7ff3a99869ce30ce8bd92353026d16925ed590bc58299af3bdd00517"},"schema_version":"1.0","source":{"id":"1708.03475","kind":"arxiv","version":3}},"canonical_sha256":"04796a2c71e75fc5abe7f0e8bbe7b486ffc6b3bcdca72585d509d5912eb2cd18","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04796a2c71e75fc5abe7f0e8bbe7b486ffc6b3bcdca72585d509d5912eb2cd18","first_computed_at":"2026-05-18T00:28:14.779082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:14.779082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+x4Nq9hQ0+/hKQJ3U9yiPLEkUynh96gGd6sYsqNhVhmtzPi2oDgS9nJ8X6UNEfrPHDdIHfMiwWL4afe6zks4Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:14.779835Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03475","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74924f51a7cca19073e23e3248bf2de85c13f8ede49e0053a0f53aa66c35c587","sha256:f76d50569b4ad9277510df3e614bb1701c6ce2c4538aed72c8a9514ef32004d9"],"state_sha256":"462478e2e2d1e8494ace73fa7c1a64bf9e5e34b885eb93ed604e041f71ff8564"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tb8qBY3CpnUZFq7SAr2olsxENnqtCJaKMUjP4i3WMcwbErR6lZ67FDsLunrHSmiQi51HrNDPElODPcelwRPoAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:48:31.100047Z","bundle_sha256":"df585772b61ae113e89acbfeb44be173a4e81cccd7301e8425a17470e50be5e4"}}