{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:RVHJMY3YMSJYZ7AWHFZHATLYXK","short_pith_number":"pith:RVHJMY3Y","canonical_record":{"source":{"id":"1702.07188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-02-23T12:05:14Z","cross_cats_sorted":["math.DS","nlin.PS"],"title_canon_sha256":"cdd24eaf43cd83ae9dc4e7f77ea2f7f897c7695512700ce72dc81355d6583d08","abstract_canon_sha256":"8bc44ef7171934a35be9c55d94697996cac97d83e6c930ba3a8570193c575411"},"schema_version":"1.0"},"canonical_sha256":"8d4e96637864938cfc163972704d78babfc0086d4009bc54d6316fe51ece34f9","source":{"kind":"arxiv","id":"1702.07188","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07188","created_at":"2026-05-18T00:46:12Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07188v1","created_at":"2026-05-18T00:46:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07188","created_at":"2026-05-18T00:46:12Z"},{"alias_kind":"pith_short_12","alias_value":"RVHJMY3YMSJY","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"RVHJMY3YMSJYZ7AW","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"RVHJMY3Y","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:RVHJMY3YMSJYZ7AWHFZHATLYXK","target":"record","payload":{"canonical_record":{"source":{"id":"1702.07188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-02-23T12:05:14Z","cross_cats_sorted":["math.DS","nlin.PS"],"title_canon_sha256":"cdd24eaf43cd83ae9dc4e7f77ea2f7f897c7695512700ce72dc81355d6583d08","abstract_canon_sha256":"8bc44ef7171934a35be9c55d94697996cac97d83e6c930ba3a8570193c575411"},"schema_version":"1.0"},"canonical_sha256":"8d4e96637864938cfc163972704d78babfc0086d4009bc54d6316fe51ece34f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:12.564375Z","signature_b64":"OYzyk6d624d1fhSDsnSmhc/5IU5jtsEmaAS2AMiYBFGksaJ+vslXFOutV5bCKXJh7lwrHXj6etOSsLkmYQ0UCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d4e96637864938cfc163972704d78babfc0086d4009bc54d6316fe51ece34f9","last_reissued_at":"2026-05-18T00:46:12.563925Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:12.563925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.07188","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":"2026-05-18T00:46:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+bX5O6cFFyIQ8oIVuCPjB/pIKqtkNoA3vVJZpmCAj4fOEA7tlPXvptFRppvWYCTTxwPnvrBp/LhqiqFul9MkBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:50:23.185726Z"},"content_sha256":"8ff423048dbc403d8a3ab54e0dc87aac492e90130a74a9223d5304517974b6fe","schema_version":"1.0","event_id":"sha256:8ff423048dbc403d8a3ab54e0dc87aac492e90130a74a9223d5304517974b6fe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:RVHJMY3YMSJYZ7AWHFZHATLYXK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stationary patterns in star networks of bistable units: Theory and application to chemical reactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","nlin.PS"],"primary_cat":"nlin.AO","authors_text":"Albert Diaz-Guilera, Albert Iribarne, Istvan Z Kiss, Michael Sebek, Nikos E Kouvaris","submitted_at":"2017-02-23T12:05:14Z","abstract_excerpt":"We present theoretical and experimental studies on pattern formation with bistable dynamical units coupled in a star network configuration. By applying a localized perturbation to the central or the peripheral elements, we demonstrate the subsequent spreading, pinning, or retraction of the activations; such analysis enables the characterization of the formation of stationary patterns of localized activity. The results are interpreted with a theoretical analysis of a simplified bistable reaction-diffusion model. Weak coupling results in trivial pinned states where the activation cannot propagat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07188","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":"2026-05-18T00:46:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pn1Bm6ZURaJaPrs/osVECPYL3SQptZDIyZSM47tQPCklPYhpLuFQlbLxl8t09FaV5w5daN6PjBKnMpWTAFWXDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:50:23.186079Z"},"content_sha256":"9df4586fb3fb2a8d5c0fa46b6203d89585a723fcd1d7e1d129c76db2c0eb723d","schema_version":"1.0","event_id":"sha256:9df4586fb3fb2a8d5c0fa46b6203d89585a723fcd1d7e1d129c76db2c0eb723d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RVHJMY3YMSJYZ7AWHFZHATLYXK/bundle.json","state_url":"https://pith.science/pith/RVHJMY3YMSJYZ7AWHFZHATLYXK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RVHJMY3YMSJYZ7AWHFZHATLYXK/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":"2026-06-01T13:50:23Z","links":{"resolver":"https://pith.science/pith/RVHJMY3YMSJYZ7AWHFZHATLYXK","bundle":"https://pith.science/pith/RVHJMY3YMSJYZ7AWHFZHATLYXK/bundle.json","state":"https://pith.science/pith/RVHJMY3YMSJYZ7AWHFZHATLYXK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RVHJMY3YMSJYZ7AWHFZHATLYXK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RVHJMY3YMSJYZ7AWHFZHATLYXK","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":"8bc44ef7171934a35be9c55d94697996cac97d83e6c930ba3a8570193c575411","cross_cats_sorted":["math.DS","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-02-23T12:05:14Z","title_canon_sha256":"cdd24eaf43cd83ae9dc4e7f77ea2f7f897c7695512700ce72dc81355d6583d08"},"schema_version":"1.0","source":{"id":"1702.07188","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07188","created_at":"2026-05-18T00:46:12Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07188v1","created_at":"2026-05-18T00:46:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07188","created_at":"2026-05-18T00:46:12Z"},{"alias_kind":"pith_short_12","alias_value":"RVHJMY3YMSJY","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"RVHJMY3YMSJYZ7AW","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"RVHJMY3Y","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:9df4586fb3fb2a8d5c0fa46b6203d89585a723fcd1d7e1d129c76db2c0eb723d","target":"graph","created_at":"2026-05-18T00:46:12Z","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 present theoretical and experimental studies on pattern formation with bistable dynamical units coupled in a star network configuration. By applying a localized perturbation to the central or the peripheral elements, we demonstrate the subsequent spreading, pinning, or retraction of the activations; such analysis enables the characterization of the formation of stationary patterns of localized activity. The results are interpreted with a theoretical analysis of a simplified bistable reaction-diffusion model. Weak coupling results in trivial pinned states where the activation cannot propagat","authors_text":"Albert Diaz-Guilera, Albert Iribarne, Istvan Z Kiss, Michael Sebek, Nikos E Kouvaris","cross_cats":["math.DS","nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-02-23T12:05:14Z","title":"Stationary patterns in star networks of bistable units: Theory and application to chemical reactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07188","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":"sha256:8ff423048dbc403d8a3ab54e0dc87aac492e90130a74a9223d5304517974b6fe","target":"record","created_at":"2026-05-18T00:46:12Z","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":"8bc44ef7171934a35be9c55d94697996cac97d83e6c930ba3a8570193c575411","cross_cats_sorted":["math.DS","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-02-23T12:05:14Z","title_canon_sha256":"cdd24eaf43cd83ae9dc4e7f77ea2f7f897c7695512700ce72dc81355d6583d08"},"schema_version":"1.0","source":{"id":"1702.07188","kind":"arxiv","version":1}},"canonical_sha256":"8d4e96637864938cfc163972704d78babfc0086d4009bc54d6316fe51ece34f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d4e96637864938cfc163972704d78babfc0086d4009bc54d6316fe51ece34f9","first_computed_at":"2026-05-18T00:46:12.563925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:12.563925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OYzyk6d624d1fhSDsnSmhc/5IU5jtsEmaAS2AMiYBFGksaJ+vslXFOutV5bCKXJh7lwrHXj6etOSsLkmYQ0UCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:12.564375Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.07188","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ff423048dbc403d8a3ab54e0dc87aac492e90130a74a9223d5304517974b6fe","sha256:9df4586fb3fb2a8d5c0fa46b6203d89585a723fcd1d7e1d129c76db2c0eb723d"],"state_sha256":"24a66a88a1733463a5e853a917afbf240222dd46aaac2d4aeee6149b3d618888"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8RYKbeJ0eJxvEYgwZZUw5oANpNZS+YEToBbI6AIVqjfLnJlmVOFCDFMtYI/CUR+qX5Uq59rflKAMRI29ijYMCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:50:23.188016Z","bundle_sha256":"27bfb9ee0371fbc4a261758c03a6eef5e5f244ee5025e39d74978b79e0da0413"}}