{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:64ZF7IJLVV6O5F2ERRON7XYWAK","short_pith_number":"pith:64ZF7IJL","canonical_record":{"source":{"id":"2508.16469","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2025-08-22T15:37:05Z","cross_cats_sorted":[],"title_canon_sha256":"06d561ee490fba49ec2a81dbce90c8706e21ee2f2c61ad0aa5a09a72a7d21371","abstract_canon_sha256":"4569065774b811aff3880d0f8ef54664ab722378f769f7ee348747d9dc3413b5"},"schema_version":"1.0"},"canonical_sha256":"f7325fa12bad7cee97448c5cdfdf16029381e2d5c71bdac46dd2a5856751c67b","source":{"kind":"arxiv","id":"2508.16469","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.16469","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"arxiv_version","alias_value":"2508.16469v2","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.16469","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"pith_short_12","alias_value":"64ZF7IJLVV6O","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"pith_short_16","alias_value":"64ZF7IJLVV6O5F2E","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"pith_short_8","alias_value":"64ZF7IJL","created_at":"2026-06-09T02:08:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:64ZF7IJLVV6O5F2ERRON7XYWAK","target":"record","payload":{"canonical_record":{"source":{"id":"2508.16469","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2025-08-22T15:37:05Z","cross_cats_sorted":[],"title_canon_sha256":"06d561ee490fba49ec2a81dbce90c8706e21ee2f2c61ad0aa5a09a72a7d21371","abstract_canon_sha256":"4569065774b811aff3880d0f8ef54664ab722378f769f7ee348747d9dc3413b5"},"schema_version":"1.0"},"canonical_sha256":"f7325fa12bad7cee97448c5cdfdf16029381e2d5c71bdac46dd2a5856751c67b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T02:08:32.645064Z","signature_b64":"Tmg8TYMB9aliJ3QhUobN/VgDP6+/Blxt4SvBjEleY4/VDMT7qEVeCJ9Gib79lOwCk6WKrzgDyh+kIiCi3aMrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7325fa12bad7cee97448c5cdfdf16029381e2d5c71bdac46dd2a5856751c67b","last_reissued_at":"2026-06-09T02:08:32.643978Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T02:08:32.643978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.16469","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-09T02:08:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IiGAIiUcuToO6apWYmOz3IpUsZ57/YdxmVoes5NjlYc8Nsaj8bapWVDJcT9CY8aO6Xp1jaAqBAVGMrJgJpbBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T04:58:24.339821Z"},"content_sha256":"675a8de989c3f2970ec6d7556f5d43507dae8639a98633a73a06520d7996b37a","schema_version":"1.0","event_id":"sha256:675a8de989c3f2970ec6d7556f5d43507dae8639a98633a73a06520d7996b37a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:64ZF7IJLVV6O5F2ERRON7XYWAK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Delay-Independent Stability of Nonlinear Delay Differential Equations via Isospectral Reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Benjamin Webb, Quinlan Leishman","submitted_at":"2025-08-22T15:37:05Z","abstract_excerpt":"Time delays arise naturally in a wide range of natural and technological systems, yet their influence on the stability remains a challenge to characterize, particularly for nonlinear systems. In this paper, we develop a stability framework that yields a delay-independent criterion for global exponential stability in a broad class of nonlinear, nonautonomous delay differential equations. Our approach is based on a novel method that associates the delayed system with a sequence of finite-dimensional matrices of increasing size, which are analyzed using the graph-theoretic technique of isospectra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.16469","kind":"arxiv","version":2},"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/2508.16469/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":"2026-06-09T02:08:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gK2uYgI6cSXFUxw9f2pWLCpEK5YwHEsKfVxQwm/+LYXkpOca+n7OB/0NPpskuRltqgh+1jSSDRiaRN3QEa/IAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T04:58:24.340190Z"},"content_sha256":"acdec342b042eda65ac4fb77f1aa1811eb57096931de1918462cacb4fae0dbe1","schema_version":"1.0","event_id":"sha256:acdec342b042eda65ac4fb77f1aa1811eb57096931de1918462cacb4fae0dbe1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/64ZF7IJLVV6O5F2ERRON7XYWAK/bundle.json","state_url":"https://pith.science/pith/64ZF7IJLVV6O5F2ERRON7XYWAK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/64ZF7IJLVV6O5F2ERRON7XYWAK/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":"2026-06-21T04:58:24Z","links":{"resolver":"https://pith.science/pith/64ZF7IJLVV6O5F2ERRON7XYWAK","bundle":"https://pith.science/pith/64ZF7IJLVV6O5F2ERRON7XYWAK/bundle.json","state":"https://pith.science/pith/64ZF7IJLVV6O5F2ERRON7XYWAK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/64ZF7IJLVV6O5F2ERRON7XYWAK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:64ZF7IJLVV6O5F2ERRON7XYWAK","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":"4569065774b811aff3880d0f8ef54664ab722378f769f7ee348747d9dc3413b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2025-08-22T15:37:05Z","title_canon_sha256":"06d561ee490fba49ec2a81dbce90c8706e21ee2f2c61ad0aa5a09a72a7d21371"},"schema_version":"1.0","source":{"id":"2508.16469","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.16469","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"arxiv_version","alias_value":"2508.16469v2","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.16469","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"pith_short_12","alias_value":"64ZF7IJLVV6O","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"pith_short_16","alias_value":"64ZF7IJLVV6O5F2E","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"pith_short_8","alias_value":"64ZF7IJL","created_at":"2026-06-09T02:08:32Z"}],"graph_snapshots":[{"event_id":"sha256:acdec342b042eda65ac4fb77f1aa1811eb57096931de1918462cacb4fae0dbe1","target":"graph","created_at":"2026-06-09T02:08:32Z","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/2508.16469/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Time delays arise naturally in a wide range of natural and technological systems, yet their influence on the stability remains a challenge to characterize, particularly for nonlinear systems. In this paper, we develop a stability framework that yields a delay-independent criterion for global exponential stability in a broad class of nonlinear, nonautonomous delay differential equations. Our approach is based on a novel method that associates the delayed system with a sequence of finite-dimensional matrices of increasing size, which are analyzed using the graph-theoretic technique of isospectra","authors_text":"Benjamin Webb, Quinlan Leishman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2025-08-22T15:37:05Z","title":"Delay-Independent Stability of Nonlinear Delay Differential Equations via Isospectral Reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.16469","kind":"arxiv","version":2},"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":"sha256:675a8de989c3f2970ec6d7556f5d43507dae8639a98633a73a06520d7996b37a","target":"record","created_at":"2026-06-09T02:08:32Z","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":"4569065774b811aff3880d0f8ef54664ab722378f769f7ee348747d9dc3413b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2025-08-22T15:37:05Z","title_canon_sha256":"06d561ee490fba49ec2a81dbce90c8706e21ee2f2c61ad0aa5a09a72a7d21371"},"schema_version":"1.0","source":{"id":"2508.16469","kind":"arxiv","version":2}},"canonical_sha256":"f7325fa12bad7cee97448c5cdfdf16029381e2d5c71bdac46dd2a5856751c67b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7325fa12bad7cee97448c5cdfdf16029381e2d5c71bdac46dd2a5856751c67b","first_computed_at":"2026-06-09T02:08:32.643978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T02:08:32.643978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tmg8TYMB9aliJ3QhUobN/VgDP6+/Blxt4SvBjEleY4/VDMT7qEVeCJ9Gib79lOwCk6WKrzgDyh+kIiCi3aMrBA==","signature_status":"signed_v1","signed_at":"2026-06-09T02:08:32.645064Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.16469","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:675a8de989c3f2970ec6d7556f5d43507dae8639a98633a73a06520d7996b37a","sha256:acdec342b042eda65ac4fb77f1aa1811eb57096931de1918462cacb4fae0dbe1"],"state_sha256":"7c451523a37113f0a0752ebf6904050827e398cad6ea1a9c7d5f2f17547f1603"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SJmTEr+3DgKKFUCOCzAFR4CbKMefECT0OGmYq23EjOwROwBWOqMLxQD2w9sYkxuuwV7ruqJ1mb+GSOlTFrXUCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T04:58:24.342222Z","bundle_sha256":"86322dccefa7434e5cbd9b5254b81f5e92428a333880b67e3a7184a1d7332dfd"}}