{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:P2TJPO2FE63P3PRG3UYBMUCEPV","short_pith_number":"pith:P2TJPO2F","canonical_record":{"source":{"id":"1901.04383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-01-14T16:28:06Z","cross_cats_sorted":[],"title_canon_sha256":"d61eca288da27432b3756004e8d48dc32112aab913a3f6acdd58280df717fa10","abstract_canon_sha256":"fe440d34937f31020b6a11af632ff80b547877e0a62491c7472efca85e799272"},"schema_version":"1.0"},"canonical_sha256":"7ea697bb4527b6fdbe26dd301650447d6b44a1c8d3daebc81e985225da3cc58d","source":{"kind":"arxiv","id":"1901.04383","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.04383","created_at":"2026-05-17T23:46:47Z"},{"alias_kind":"arxiv_version","alias_value":"1901.04383v1","created_at":"2026-05-17T23:46:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.04383","created_at":"2026-05-17T23:46:47Z"},{"alias_kind":"pith_short_12","alias_value":"P2TJPO2FE63P","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"P2TJPO2FE63P3PRG","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"P2TJPO2F","created_at":"2026-05-18T12:33:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:P2TJPO2FE63P3PRG3UYBMUCEPV","target":"record","payload":{"canonical_record":{"source":{"id":"1901.04383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-01-14T16:28:06Z","cross_cats_sorted":[],"title_canon_sha256":"d61eca288da27432b3756004e8d48dc32112aab913a3f6acdd58280df717fa10","abstract_canon_sha256":"fe440d34937f31020b6a11af632ff80b547877e0a62491c7472efca85e799272"},"schema_version":"1.0"},"canonical_sha256":"7ea697bb4527b6fdbe26dd301650447d6b44a1c8d3daebc81e985225da3cc58d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:47.595713Z","signature_b64":"Ecnqn7/HDX5XtdjA3ShtXWnuRj4IfTLpzB4rMQ+lHsdhqSQqi6GICVY3iNm4PBNqfiptnHH2DiI6bJN7N0FtAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ea697bb4527b6fdbe26dd301650447d6b44a1c8d3daebc81e985225da3cc58d","last_reissued_at":"2026-05-17T23:46:47.595212Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:47.595212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.04383","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":"2026-05-17T23:46:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h2GrzOtWkW7EaI61FDT9X2b2uIuET1eQ2h8vTDwZhw0vpcM+VRzvzFg800c9x1UY002pD1joaUusJO1K98RYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:08:03.514179Z"},"content_sha256":"c7911b582819fcd846aa27ec248aac6766c20d0d19e2bd37ca17eff71a256022","schema_version":"1.0","event_id":"sha256:c7911b582819fcd846aa27ec248aac6766c20d0d19e2bd37ca17eff71a256022"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:P2TJPO2FE63P3PRG3UYBMUCEPV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Excitable wave patterns in temporal systems with two long delays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Francesco Marino, Giovanni Giacomelli","submitted_at":"2019-01-14T16:28:06Z","abstract_excerpt":"Excitable waves arise in many spatially-extended systems of either biological, chemical, or physical nature due to the interplay between local reaction and diffusion processes. Here we demonstrate that similar phenomena are encoded in the time-dynamics of an excitable system with two, hierarchically long delays. The transition from 1D localized structures to curved wave-segments is experimentally observed in an excitable semiconductor laser with two feedback loops and reproduced by numerical simulations of a prototypical model. While closely related to those found in 2D excitable media, wave p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.04383","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":"2026-05-17T23:46:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b7u5cQP7ieMoYC4NRhjBcfsTKSbc2LRNy4JdPLurFQ/mt+Spq2djYI1PBGL+6aleVUPalyM4O3Kphj/QI92iDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:08:03.514753Z"},"content_sha256":"6a70271a14ef17b1aaea647035c2a4ed7ccead6586834e41dc249841c5ffbb42","schema_version":"1.0","event_id":"sha256:6a70271a14ef17b1aaea647035c2a4ed7ccead6586834e41dc249841c5ffbb42"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P2TJPO2FE63P3PRG3UYBMUCEPV/bundle.json","state_url":"https://pith.science/pith/P2TJPO2FE63P3PRG3UYBMUCEPV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P2TJPO2FE63P3PRG3UYBMUCEPV/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":"2026-06-03T08:08:03Z","links":{"resolver":"https://pith.science/pith/P2TJPO2FE63P3PRG3UYBMUCEPV","bundle":"https://pith.science/pith/P2TJPO2FE63P3PRG3UYBMUCEPV/bundle.json","state":"https://pith.science/pith/P2TJPO2FE63P3PRG3UYBMUCEPV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P2TJPO2FE63P3PRG3UYBMUCEPV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:P2TJPO2FE63P3PRG3UYBMUCEPV","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":"fe440d34937f31020b6a11af632ff80b547877e0a62491c7472efca85e799272","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-01-14T16:28:06Z","title_canon_sha256":"d61eca288da27432b3756004e8d48dc32112aab913a3f6acdd58280df717fa10"},"schema_version":"1.0","source":{"id":"1901.04383","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.04383","created_at":"2026-05-17T23:46:47Z"},{"alias_kind":"arxiv_version","alias_value":"1901.04383v1","created_at":"2026-05-17T23:46:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.04383","created_at":"2026-05-17T23:46:47Z"},{"alias_kind":"pith_short_12","alias_value":"P2TJPO2FE63P","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"P2TJPO2FE63P3PRG","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"P2TJPO2F","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:6a70271a14ef17b1aaea647035c2a4ed7ccead6586834e41dc249841c5ffbb42","target":"graph","created_at":"2026-05-17T23:46:47Z","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":"Excitable waves arise in many spatially-extended systems of either biological, chemical, or physical nature due to the interplay between local reaction and diffusion processes. Here we demonstrate that similar phenomena are encoded in the time-dynamics of an excitable system with two, hierarchically long delays. The transition from 1D localized structures to curved wave-segments is experimentally observed in an excitable semiconductor laser with two feedback loops and reproduced by numerical simulations of a prototypical model. While closely related to those found in 2D excitable media, wave p","authors_text":"Francesco Marino, Giovanni Giacomelli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-01-14T16:28:06Z","title":"Excitable wave patterns in temporal systems with two long delays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.04383","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:c7911b582819fcd846aa27ec248aac6766c20d0d19e2bd37ca17eff71a256022","target":"record","created_at":"2026-05-17T23:46:47Z","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":"fe440d34937f31020b6a11af632ff80b547877e0a62491c7472efca85e799272","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-01-14T16:28:06Z","title_canon_sha256":"d61eca288da27432b3756004e8d48dc32112aab913a3f6acdd58280df717fa10"},"schema_version":"1.0","source":{"id":"1901.04383","kind":"arxiv","version":1}},"canonical_sha256":"7ea697bb4527b6fdbe26dd301650447d6b44a1c8d3daebc81e985225da3cc58d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ea697bb4527b6fdbe26dd301650447d6b44a1c8d3daebc81e985225da3cc58d","first_computed_at":"2026-05-17T23:46:47.595212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:47.595212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ecnqn7/HDX5XtdjA3ShtXWnuRj4IfTLpzB4rMQ+lHsdhqSQqi6GICVY3iNm4PBNqfiptnHH2DiI6bJN7N0FtAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:47.595713Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.04383","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7911b582819fcd846aa27ec248aac6766c20d0d19e2bd37ca17eff71a256022","sha256:6a70271a14ef17b1aaea647035c2a4ed7ccead6586834e41dc249841c5ffbb42"],"state_sha256":"5f24b0a52949da7b6914bb5d617edef172dd4f212d26bf58955a27fa8bb1c981"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pZ7LumLq+AiFXmnXNxZBe71/zwbZxTxYbDrgKlNnTz+sKsrEhTEqRUjFZ7EbhPvWafqB09ow9XVk9f0SPqfZDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:08:03.517399Z","bundle_sha256":"f0c413d89761d7c3e482aaa279e433a410ed30a56063a5ba8208a56f799cfd6a"}}