{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:USZCS6GZH2D7YO36GGJMPWVUDB","short_pith_number":"pith:USZCS6GZ","canonical_record":{"source":{"id":"1204.1475","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-06T13:55:29Z","cross_cats_sorted":[],"title_canon_sha256":"5f2e2b13059a631f540329d70fad26b26a22b1fd28bcd3776a0f14756262b795","abstract_canon_sha256":"47553a21fb65ab75bd6997f42134c1a2560414223312a368c1d9263ae28a72c5"},"schema_version":"1.0"},"canonical_sha256":"a4b22978d93e87fc3b7e3192c7dab4184e5d6ede52555423350efeb246cc6ba0","source":{"kind":"arxiv","id":"1204.1475","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1475","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1475v1","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1475","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"USZCS6GZH2D7","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"USZCS6GZH2D7YO36","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"USZCS6GZ","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:USZCS6GZH2D7YO36GGJMPWVUDB","target":"record","payload":{"canonical_record":{"source":{"id":"1204.1475","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-06T13:55:29Z","cross_cats_sorted":[],"title_canon_sha256":"5f2e2b13059a631f540329d70fad26b26a22b1fd28bcd3776a0f14756262b795","abstract_canon_sha256":"47553a21fb65ab75bd6997f42134c1a2560414223312a368c1d9263ae28a72c5"},"schema_version":"1.0"},"canonical_sha256":"a4b22978d93e87fc3b7e3192c7dab4184e5d6ede52555423350efeb246cc6ba0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:56.180676Z","signature_b64":"mJHEJgo48lrTWinj4zWBKVs+ZABW7Bq9xhtbClo7Kv/uRPYJEUtcAz+UySEFJRq+aUx+TZLEpy148cAacpjIDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4b22978d93e87fc3b7e3192c7dab4184e5d6ede52555423350efeb246cc6ba0","last_reissued_at":"2026-05-18T01:57:56.180009Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:56.180009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.1475","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":"2026-05-18T01:57:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tFyjXBkMBZA/7z3r5SSkwFmlnZTf5w6JiwbHen71Wh6npVynyIwDecyeuOwqJwiOVAZlqiINrk0/ZVCr4y+cAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T13:41:07.646496Z"},"content_sha256":"1d4b5d81916df0873e9a4bd00b215d3507b2245db99f6cb5f02fad4dbc45ca93","schema_version":"1.0","event_id":"sha256:1d4b5d81916df0873e9a4bd00b215d3507b2245db99f6cb5f02fad4dbc45ca93"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:USZCS6GZH2D7YO36GGJMPWVUDB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic Turing Patterns on a Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Duccio Fanelli, Francesca Di Patti, Malbor Asslani","submitted_at":"2012-04-06T13:55:29Z","abstract_excerpt":"The process of stochastic Turing instability on a network is discussed for a specific case study, the stochastic Brusselator model. The system is shown to spontaneously differentiate into activator-rich and activator-poor nodes, outside the region of parameters classically deputed to the deterministic Turing instability. This phenomenon, as revealed by direct stochastic simulations, is explained analytically, and eventually traced back to the finite size corrections stemming from the inherent graininess of the scrutinized medium."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1475","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":"2026-05-18T01:57:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LyynklvkCbjwSU6B9T98pQdepqrhWSF70AaVELlppHU8x0dcYyWhqtO5IRWDQvzyP8/koBF6LwIKHbFstI+nDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T13:41:07.647088Z"},"content_sha256":"ead742dd5d082b309feb9bdc9e14531aeabb045b6c54189a2ab88c33e7b61271","schema_version":"1.0","event_id":"sha256:ead742dd5d082b309feb9bdc9e14531aeabb045b6c54189a2ab88c33e7b61271"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/USZCS6GZH2D7YO36GGJMPWVUDB/bundle.json","state_url":"https://pith.science/pith/USZCS6GZH2D7YO36GGJMPWVUDB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/USZCS6GZH2D7YO36GGJMPWVUDB/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":"2026-06-27T13:41:07Z","links":{"resolver":"https://pith.science/pith/USZCS6GZH2D7YO36GGJMPWVUDB","bundle":"https://pith.science/pith/USZCS6GZH2D7YO36GGJMPWVUDB/bundle.json","state":"https://pith.science/pith/USZCS6GZH2D7YO36GGJMPWVUDB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/USZCS6GZH2D7YO36GGJMPWVUDB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:USZCS6GZH2D7YO36GGJMPWVUDB","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":"47553a21fb65ab75bd6997f42134c1a2560414223312a368c1d9263ae28a72c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-06T13:55:29Z","title_canon_sha256":"5f2e2b13059a631f540329d70fad26b26a22b1fd28bcd3776a0f14756262b795"},"schema_version":"1.0","source":{"id":"1204.1475","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1475","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1475v1","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1475","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"USZCS6GZH2D7","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"USZCS6GZH2D7YO36","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"USZCS6GZ","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:ead742dd5d082b309feb9bdc9e14531aeabb045b6c54189a2ab88c33e7b61271","target":"graph","created_at":"2026-05-18T01:57:56Z","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 process of stochastic Turing instability on a network is discussed for a specific case study, the stochastic Brusselator model. The system is shown to spontaneously differentiate into activator-rich and activator-poor nodes, outside the region of parameters classically deputed to the deterministic Turing instability. This phenomenon, as revealed by direct stochastic simulations, is explained analytically, and eventually traced back to the finite size corrections stemming from the inherent graininess of the scrutinized medium.","authors_text":"Duccio Fanelli, Francesca Di Patti, Malbor Asslani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-06T13:55:29Z","title":"Stochastic Turing Patterns on a Network"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1475","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":"sha256:1d4b5d81916df0873e9a4bd00b215d3507b2245db99f6cb5f02fad4dbc45ca93","target":"record","created_at":"2026-05-18T01:57:56Z","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":"47553a21fb65ab75bd6997f42134c1a2560414223312a368c1d9263ae28a72c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-06T13:55:29Z","title_canon_sha256":"5f2e2b13059a631f540329d70fad26b26a22b1fd28bcd3776a0f14756262b795"},"schema_version":"1.0","source":{"id":"1204.1475","kind":"arxiv","version":1}},"canonical_sha256":"a4b22978d93e87fc3b7e3192c7dab4184e5d6ede52555423350efeb246cc6ba0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4b22978d93e87fc3b7e3192c7dab4184e5d6ede52555423350efeb246cc6ba0","first_computed_at":"2026-05-18T01:57:56.180009Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:56.180009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mJHEJgo48lrTWinj4zWBKVs+ZABW7Bq9xhtbClo7Kv/uRPYJEUtcAz+UySEFJRq+aUx+TZLEpy148cAacpjIDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:56.180676Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1475","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d4b5d81916df0873e9a4bd00b215d3507b2245db99f6cb5f02fad4dbc45ca93","sha256:ead742dd5d082b309feb9bdc9e14531aeabb045b6c54189a2ab88c33e7b61271"],"state_sha256":"e88472a85c62695382940603e9499c59594782ba402c6e9bd8d77057ed2584ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GViCn/uq9WEPmC0Zet7lTkxyE7uK149vGVivd6NpOu+cOZkgI3xuUF0o7DJxjiITHA+A5ZoSi0C6VDsoxMH2Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T13:41:07.649833Z","bundle_sha256":"242dc1064d6b1cfa9d1888e6bf69f753bcf1c2d876cfdbbe8696355f736f9c4a"}}