{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:VB7PRY3MZMH2XWFBAD74IWL3BM","short_pith_number":"pith:VB7PRY3M","canonical_record":{"source":{"id":"1012.0464","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2010-12-02T15:52:40Z","cross_cats_sorted":["cond-mat.stat-mech","physics.comp-ph"],"title_canon_sha256":"678a65b547966fb5977f4fe25f8c4faa259c011029e57415c79b7c3be5c399b6","abstract_canon_sha256":"a395864a326e35d4428ee3a154a6fe07d990074fc311820af6bf464d8059e868"},"schema_version":"1.0"},"canonical_sha256":"a87ef8e36ccb0fabd8a100ffc4597b0b03976cf98f8699289388429e777a3bbd","source":{"kind":"arxiv","id":"1012.0464","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0464","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0464v1","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0464","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"pith_short_12","alias_value":"VB7PRY3MZMH2","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VB7PRY3MZMH2XWFB","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VB7PRY3M","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:VB7PRY3MZMH2XWFBAD74IWL3BM","target":"record","payload":{"canonical_record":{"source":{"id":"1012.0464","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2010-12-02T15:52:40Z","cross_cats_sorted":["cond-mat.stat-mech","physics.comp-ph"],"title_canon_sha256":"678a65b547966fb5977f4fe25f8c4faa259c011029e57415c79b7c3be5c399b6","abstract_canon_sha256":"a395864a326e35d4428ee3a154a6fe07d990074fc311820af6bf464d8059e868"},"schema_version":"1.0"},"canonical_sha256":"a87ef8e36ccb0fabd8a100ffc4597b0b03976cf98f8699289388429e777a3bbd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:16.729743Z","signature_b64":"hr799Yv8ZIBvs1iYDHCxgDrtGdAntv33HBPP5bLHUrqWwqo6FLTHgKpopnaohlESyhiWnHoO9ZvZ9AOrnQqrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a87ef8e36ccb0fabd8a100ffc4597b0b03976cf98f8699289388429e777a3bbd","last_reissued_at":"2026-05-18T02:23:16.729332Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:16.729332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.0464","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":"2026-05-18T02:23:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aQkLUFi/k1vNBgaA2GE+cONQ6kyiO7GpjcQjE7p2UA0ei8tDcZvVdrkAn3Z9Qx0qF9ORuXPuNkdi4mP0OeRCAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T11:35:49.020894Z"},"content_sha256":"df9987d2b5d55d59da171e58968a05cd852f2f201db8eb62129c88ffacd7e969","schema_version":"1.0","event_id":"sha256:df9987d2b5d55d59da171e58968a05cd852f2f201db8eb62129c88ffacd7e969"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:VB7PRY3MZMH2XWFBAD74IWL3BM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Network topology and collapse of collective stable chaos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.comp-ph"],"primary_cat":"nlin.AO","authors_text":"J. Gonzalez-Estevez, M. G. Cosenza","submitted_at":"2010-12-02T15:52:40Z","abstract_excerpt":"Collective stable chaos consists of the persistence of disordered patterns in dynamical spatiotemporal systems possessing a negative maximum Lyapunov exponent. We analyze the role of the topology of connectivity on the emergence and collapse of collective stable chaos in systems of coupled maps defined on a small-world networks. As local dynamics we employ a map that exhibits a period-three superstable orbit. The network is characterized by a rewiring probability $p$. We find that collective chaos is inhibited on some ranges of values of the probability $p$; instead, in these regions the syste"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0464","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":"2026-05-18T02:23:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"njL5E+HFjLV0SyTkLZb+rFINtrQPdiHJWlrMjQAoVEkP4OcCTyVCjB3qd6yUAT4BP+97tBik1fRjwlJdlatiBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T11:35:49.021244Z"},"content_sha256":"a55324eac9a53ad4dd22cd5b334b4d99305c4b101454be867c89f077b41aa628","schema_version":"1.0","event_id":"sha256:a55324eac9a53ad4dd22cd5b334b4d99305c4b101454be867c89f077b41aa628"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VB7PRY3MZMH2XWFBAD74IWL3BM/bundle.json","state_url":"https://pith.science/pith/VB7PRY3MZMH2XWFBAD74IWL3BM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VB7PRY3MZMH2XWFBAD74IWL3BM/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":"2026-06-24T11:35:49Z","links":{"resolver":"https://pith.science/pith/VB7PRY3MZMH2XWFBAD74IWL3BM","bundle":"https://pith.science/pith/VB7PRY3MZMH2XWFBAD74IWL3BM/bundle.json","state":"https://pith.science/pith/VB7PRY3MZMH2XWFBAD74IWL3BM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VB7PRY3MZMH2XWFBAD74IWL3BM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VB7PRY3MZMH2XWFBAD74IWL3BM","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":"a395864a326e35d4428ee3a154a6fe07d990074fc311820af6bf464d8059e868","cross_cats_sorted":["cond-mat.stat-mech","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2010-12-02T15:52:40Z","title_canon_sha256":"678a65b547966fb5977f4fe25f8c4faa259c011029e57415c79b7c3be5c399b6"},"schema_version":"1.0","source":{"id":"1012.0464","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0464","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0464v1","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0464","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"pith_short_12","alias_value":"VB7PRY3MZMH2","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VB7PRY3MZMH2XWFB","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VB7PRY3M","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:a55324eac9a53ad4dd22cd5b334b4d99305c4b101454be867c89f077b41aa628","target":"graph","created_at":"2026-05-18T02:23:16Z","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":"Collective stable chaos consists of the persistence of disordered patterns in dynamical spatiotemporal systems possessing a negative maximum Lyapunov exponent. We analyze the role of the topology of connectivity on the emergence and collapse of collective stable chaos in systems of coupled maps defined on a small-world networks. As local dynamics we employ a map that exhibits a period-three superstable orbit. The network is characterized by a rewiring probability $p$. We find that collective chaos is inhibited on some ranges of values of the probability $p$; instead, in these regions the syste","authors_text":"J. Gonzalez-Estevez, M. G. Cosenza","cross_cats":["cond-mat.stat-mech","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2010-12-02T15:52:40Z","title":"Network topology and collapse of collective stable chaos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0464","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:df9987d2b5d55d59da171e58968a05cd852f2f201db8eb62129c88ffacd7e969","target":"record","created_at":"2026-05-18T02:23:16Z","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":"a395864a326e35d4428ee3a154a6fe07d990074fc311820af6bf464d8059e868","cross_cats_sorted":["cond-mat.stat-mech","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2010-12-02T15:52:40Z","title_canon_sha256":"678a65b547966fb5977f4fe25f8c4faa259c011029e57415c79b7c3be5c399b6"},"schema_version":"1.0","source":{"id":"1012.0464","kind":"arxiv","version":1}},"canonical_sha256":"a87ef8e36ccb0fabd8a100ffc4597b0b03976cf98f8699289388429e777a3bbd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a87ef8e36ccb0fabd8a100ffc4597b0b03976cf98f8699289388429e777a3bbd","first_computed_at":"2026-05-18T02:23:16.729332Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:16.729332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hr799Yv8ZIBvs1iYDHCxgDrtGdAntv33HBPP5bLHUrqWwqo6FLTHgKpopnaohlESyhiWnHoO9ZvZ9AOrnQqrBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:16.729743Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.0464","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df9987d2b5d55d59da171e58968a05cd852f2f201db8eb62129c88ffacd7e969","sha256:a55324eac9a53ad4dd22cd5b334b4d99305c4b101454be867c89f077b41aa628"],"state_sha256":"9c1ebdc63d9841512fc1bd071472463caad518439c1d81a4d563ffc93535e83b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nnM16/ceNBjn0FphB1eDkldIyaBDnbXYARwbtvGr/lwBdmmXxOU3Xsq2PNvPgKz2PaPmQDXxeo3qJ8vFfwldBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T11:35:49.023266Z","bundle_sha256":"3c3e2826ee879a2c222d7694842e460f5a8244eaafa50c950655c711adf538db"}}