{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:YAAFEXJ6B4KIJP5VCRBMZCOT2K","short_pith_number":"pith:YAAFEXJ6","canonical_record":{"source":{"id":"2605.29767","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2026-05-28T11:12:35Z","cross_cats_sorted":["physics.comp-ph","physics.data-an"],"title_canon_sha256":"d9cc32e5384b08a8205b2e11700e214dbc8b9b2399e4a6ae96df96fdcc57e9e1","abstract_canon_sha256":"10db10b771deaadfd2e2562d027ac07c217f35c02839ccb62fa525c025f0e5a1"},"schema_version":"1.0"},"canonical_sha256":"c000525d3e0f1484bfb51442cc89d3d2822bc75b683b3a66cd3725a48c8b892c","source":{"kind":"arxiv","id":"2605.29767","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.29767","created_at":"2026-05-29T02:05:25Z"},{"alias_kind":"arxiv_version","alias_value":"2605.29767v1","created_at":"2026-05-29T02:05:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.29767","created_at":"2026-05-29T02:05:25Z"},{"alias_kind":"pith_short_12","alias_value":"YAAFEXJ6B4KI","created_at":"2026-05-29T02:05:25Z"},{"alias_kind":"pith_short_16","alias_value":"YAAFEXJ6B4KIJP5V","created_at":"2026-05-29T02:05:25Z"},{"alias_kind":"pith_short_8","alias_value":"YAAFEXJ6","created_at":"2026-05-29T02:05:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:YAAFEXJ6B4KIJP5VCRBMZCOT2K","target":"record","payload":{"canonical_record":{"source":{"id":"2605.29767","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2026-05-28T11:12:35Z","cross_cats_sorted":["physics.comp-ph","physics.data-an"],"title_canon_sha256":"d9cc32e5384b08a8205b2e11700e214dbc8b9b2399e4a6ae96df96fdcc57e9e1","abstract_canon_sha256":"10db10b771deaadfd2e2562d027ac07c217f35c02839ccb62fa525c025f0e5a1"},"schema_version":"1.0"},"canonical_sha256":"c000525d3e0f1484bfb51442cc89d3d2822bc75b683b3a66cd3725a48c8b892c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T02:05:25.606026Z","signature_b64":"UmA5JTpFXZbPaxkEHP1+VFrmNRknEVvctM9ksOMpERjA83+47oKxpNhJOfEKQc+iDYGUQ1u8hXKYJRcTYxuGDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c000525d3e0f1484bfb51442cc89d3d2822bc75b683b3a66cd3725a48c8b892c","last_reissued_at":"2026-05-29T02:05:25.605573Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T02:05:25.605573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.29767","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":"2026-05-29T02:05:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AeUhiqS8ED6RJqgxu7cxWr4keVR7L/K98BWypASiFA/GYHPXeGVsCINTDD6uYTtPGf4nMwEWM7O64iLLo49ZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T16:54:51.585180Z"},"content_sha256":"b792ac9db649ca64eb3d866124a404a7f55f9058699eaf6640f2efd1c337ec5e","schema_version":"1.0","event_id":"sha256:b792ac9db649ca64eb3d866124a404a7f55f9058699eaf6640f2efd1c337ec5e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:YAAFEXJ6B4KIJP5VCRBMZCOT2K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complex network topological and spectral determinants of extreme events","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph","physics.data-an"],"primary_cat":"nlin.CD","authors_text":"Christian Hechler, Klaus Lehnertz, Timo Br\\\"ohl, Ulrike Feudel","submitted_at":"2026-05-28T11:12:35Z","abstract_excerpt":"We study the impact of the coupling topology on the ability of various networked dynamical systems to generate extreme events. By determining the coupling strength that is necessary to generate an extreme event in the collective dynamics of a given system, we observe a power-law-like relationship between this coupling threshold and both topological (edge density) and spectral (algebraic connectivity) properties of various coupling topologies. Interestingly, this relationship appears to be largely independent of both the investigated system and the underlying mechanism to generate extreme event"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29767","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.29767/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-29T02:05:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"58bxRiR1bh/agMJ4girEyqfTpUtBvmKCKY0O2BzyvuVGc2CdeQwtDy15Fw3BGHFuJGbq6qrhg2TdR9cMEjEPCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T16:54:51.585770Z"},"content_sha256":"fa14455649c6d44d5267b7f0e063baeecf40d581e9d10240a164e58df2f205c9","schema_version":"1.0","event_id":"sha256:fa14455649c6d44d5267b7f0e063baeecf40d581e9d10240a164e58df2f205c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YAAFEXJ6B4KIJP5VCRBMZCOT2K/bundle.json","state_url":"https://pith.science/pith/YAAFEXJ6B4KIJP5VCRBMZCOT2K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YAAFEXJ6B4KIJP5VCRBMZCOT2K/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":"2026-05-30T16:54:51Z","links":{"resolver":"https://pith.science/pith/YAAFEXJ6B4KIJP5VCRBMZCOT2K","bundle":"https://pith.science/pith/YAAFEXJ6B4KIJP5VCRBMZCOT2K/bundle.json","state":"https://pith.science/pith/YAAFEXJ6B4KIJP5VCRBMZCOT2K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YAAFEXJ6B4KIJP5VCRBMZCOT2K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YAAFEXJ6B4KIJP5VCRBMZCOT2K","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":"10db10b771deaadfd2e2562d027ac07c217f35c02839ccb62fa525c025f0e5a1","cross_cats_sorted":["physics.comp-ph","physics.data-an"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2026-05-28T11:12:35Z","title_canon_sha256":"d9cc32e5384b08a8205b2e11700e214dbc8b9b2399e4a6ae96df96fdcc57e9e1"},"schema_version":"1.0","source":{"id":"2605.29767","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.29767","created_at":"2026-05-29T02:05:25Z"},{"alias_kind":"arxiv_version","alias_value":"2605.29767v1","created_at":"2026-05-29T02:05:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.29767","created_at":"2026-05-29T02:05:25Z"},{"alias_kind":"pith_short_12","alias_value":"YAAFEXJ6B4KI","created_at":"2026-05-29T02:05:25Z"},{"alias_kind":"pith_short_16","alias_value":"YAAFEXJ6B4KIJP5V","created_at":"2026-05-29T02:05:25Z"},{"alias_kind":"pith_short_8","alias_value":"YAAFEXJ6","created_at":"2026-05-29T02:05:25Z"}],"graph_snapshots":[{"event_id":"sha256:fa14455649c6d44d5267b7f0e063baeecf40d581e9d10240a164e58df2f205c9","target":"graph","created_at":"2026-05-29T02:05:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.29767/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the impact of the coupling topology on the ability of various networked dynamical systems to generate extreme events. By determining the coupling strength that is necessary to generate an extreme event in the collective dynamics of a given system, we observe a power-law-like relationship between this coupling threshold and both topological (edge density) and spectral (algebraic connectivity) properties of various coupling topologies. Interestingly, this relationship appears to be largely independent of both the investigated system and the underlying mechanism to generate extreme event","authors_text":"Christian Hechler, Klaus Lehnertz, Timo Br\\\"ohl, Ulrike Feudel","cross_cats":["physics.comp-ph","physics.data-an"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2026-05-28T11:12:35Z","title":"Complex network topological and spectral determinants of extreme events"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29767","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:b792ac9db649ca64eb3d866124a404a7f55f9058699eaf6640f2efd1c337ec5e","target":"record","created_at":"2026-05-29T02:05:25Z","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":"10db10b771deaadfd2e2562d027ac07c217f35c02839ccb62fa525c025f0e5a1","cross_cats_sorted":["physics.comp-ph","physics.data-an"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2026-05-28T11:12:35Z","title_canon_sha256":"d9cc32e5384b08a8205b2e11700e214dbc8b9b2399e4a6ae96df96fdcc57e9e1"},"schema_version":"1.0","source":{"id":"2605.29767","kind":"arxiv","version":1}},"canonical_sha256":"c000525d3e0f1484bfb51442cc89d3d2822bc75b683b3a66cd3725a48c8b892c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c000525d3e0f1484bfb51442cc89d3d2822bc75b683b3a66cd3725a48c8b892c","first_computed_at":"2026-05-29T02:05:25.605573Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-29T02:05:25.605573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UmA5JTpFXZbPaxkEHP1+VFrmNRknEVvctM9ksOMpERjA83+47oKxpNhJOfEKQc+iDYGUQ1u8hXKYJRcTYxuGDg==","signature_status":"signed_v1","signed_at":"2026-05-29T02:05:25.606026Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.29767","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b792ac9db649ca64eb3d866124a404a7f55f9058699eaf6640f2efd1c337ec5e","sha256:fa14455649c6d44d5267b7f0e063baeecf40d581e9d10240a164e58df2f205c9"],"state_sha256":"c18d095786e92f0f63ea7b1047ff04651cac09ff0362b3ac4a505d4e272b144b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9HUj7w5XdEp1am/IJtWhSboRH2YbWU+YvBL/a9+xkjEvefVnX+k1mEQahpCCnQVBg7FlkkNCtO9lNu7tlMKdCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T16:54:51.591242Z","bundle_sha256":"8611402a6f5a20e3eb774a10ff77ba82faa90771d4ace2eafa10ecda906fd838"}}