{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:WZJVUKDMM5F7JZBUYGFCIZM4YG","short_pith_number":"pith:WZJVUKDM","canonical_record":{"source":{"id":"2606.00789","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-30T16:11:31Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"b1df648b08cc9cef9459e92f3a1bb85606959156d7b7c1b7eb30d2d26b33f66d","abstract_canon_sha256":"9db96597a438b1c4da0d6d7cfe2964ae9d64427ca4732b55bc09e9aa2534b244"},"schema_version":"1.0"},"canonical_sha256":"b6535a286c674bf4e434c18a24659cc1b221d0f145a86ccfbf7aa158fc9ef994","source":{"kind":"arxiv","id":"2606.00789","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.00789","created_at":"2026-06-02T01:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"2606.00789v1","created_at":"2026-06-02T01:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.00789","created_at":"2026-06-02T01:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"WZJVUKDMM5F7","created_at":"2026-06-02T01:04:05Z"},{"alias_kind":"pith_short_16","alias_value":"WZJVUKDMM5F7JZBU","created_at":"2026-06-02T01:04:05Z"},{"alias_kind":"pith_short_8","alias_value":"WZJVUKDM","created_at":"2026-06-02T01:04:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:WZJVUKDMM5F7JZBUYGFCIZM4YG","target":"record","payload":{"canonical_record":{"source":{"id":"2606.00789","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-30T16:11:31Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"b1df648b08cc9cef9459e92f3a1bb85606959156d7b7c1b7eb30d2d26b33f66d","abstract_canon_sha256":"9db96597a438b1c4da0d6d7cfe2964ae9d64427ca4732b55bc09e9aa2534b244"},"schema_version":"1.0"},"canonical_sha256":"b6535a286c674bf4e434c18a24659cc1b221d0f145a86ccfbf7aa158fc9ef994","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T01:04:05.870100Z","signature_b64":"5kvtRsJeNc8cfUhoPgLViJF9iHKnUQFklnSz0hvM1GMfuLXsiahkBGPpY7vgAXikt2KADrxwhEnUitGhLhw9BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6535a286c674bf4e434c18a24659cc1b221d0f145a86ccfbf7aa158fc9ef994","last_reissued_at":"2026-06-02T01:04:05.869603Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T01:04:05.869603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.00789","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":"2026-06-02T01:04:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t+V8+WYw60PEDpOz3SFz54trnNMT2pKoLXJJsJgPJ/yGvQfMVgVLoSqKvjMtCEIklcEEN1UN6NRt61fGtqkFBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:01:38.419690Z"},"content_sha256":"f1a122db43810dcd348a15102f45f199150de486e566640d3dbf50a889ab61b1","schema_version":"1.0","event_id":"sha256:f1a122db43810dcd348a15102f45f199150de486e566640d3dbf50a889ab61b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:WZJVUKDMM5F7JZBUYGFCIZM4YG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pre-failure response spectra predict finite-amplitude fragility","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Surachate Limkumnerd","submitted_at":"2026-05-30T16:11:31Z","abstract_excerpt":"Failure theories often identify a single leading route to failure: the most unstable mode, weakest link, minimum-action escape path, or optimal perturbation. Yet finite-amplitude susceptibility depends not only on the nearest route but on how much of perturbation space lies near dangerous directions. We cast this distinction as a fragility problem: for each perturbation direction, the failure distance is the smallest amplitude that crosses a prescribed boundary, and the fragility curve is the fraction of directions that fail below a given amplitude. Measuring this curve directly requires nonli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.00789","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/2606.00789/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":"2026-06-02T01:04:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fXlIq7fQcleHQPQ0OilJL+/WgZ86UNeFbpaYdfu2Tl6Kz02IUU3G/ZwY0+pjTNx30WyBPZJQHE2Fy0oUFIN+Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:01:38.420065Z"},"content_sha256":"2cc9d5b77dcd46812c65cf977c5f96e4883cebdc46735dd733c39bc76d8b77c5","schema_version":"1.0","event_id":"sha256:2cc9d5b77dcd46812c65cf977c5f96e4883cebdc46735dd733c39bc76d8b77c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WZJVUKDMM5F7JZBUYGFCIZM4YG/bundle.json","state_url":"https://pith.science/pith/WZJVUKDMM5F7JZBUYGFCIZM4YG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WZJVUKDMM5F7JZBUYGFCIZM4YG/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":"2026-06-03T14:01:38Z","links":{"resolver":"https://pith.science/pith/WZJVUKDMM5F7JZBUYGFCIZM4YG","bundle":"https://pith.science/pith/WZJVUKDMM5F7JZBUYGFCIZM4YG/bundle.json","state":"https://pith.science/pith/WZJVUKDMM5F7JZBUYGFCIZM4YG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WZJVUKDMM5F7JZBUYGFCIZM4YG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:WZJVUKDMM5F7JZBUYGFCIZM4YG","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":"9db96597a438b1c4da0d6d7cfe2964ae9d64427ca4732b55bc09e9aa2534b244","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-30T16:11:31Z","title_canon_sha256":"b1df648b08cc9cef9459e92f3a1bb85606959156d7b7c1b7eb30d2d26b33f66d"},"schema_version":"1.0","source":{"id":"2606.00789","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.00789","created_at":"2026-06-02T01:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"2606.00789v1","created_at":"2026-06-02T01:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.00789","created_at":"2026-06-02T01:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"WZJVUKDMM5F7","created_at":"2026-06-02T01:04:05Z"},{"alias_kind":"pith_short_16","alias_value":"WZJVUKDMM5F7JZBU","created_at":"2026-06-02T01:04:05Z"},{"alias_kind":"pith_short_8","alias_value":"WZJVUKDM","created_at":"2026-06-02T01:04:05Z"}],"graph_snapshots":[{"event_id":"sha256:2cc9d5b77dcd46812c65cf977c5f96e4883cebdc46735dd733c39bc76d8b77c5","target":"graph","created_at":"2026-06-02T01:04:05Z","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/2606.00789/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Failure theories often identify a single leading route to failure: the most unstable mode, weakest link, minimum-action escape path, or optimal perturbation. Yet finite-amplitude susceptibility depends not only on the nearest route but on how much of perturbation space lies near dangerous directions. We cast this distinction as a fragility problem: for each perturbation direction, the failure distance is the smallest amplitude that crosses a prescribed boundary, and the fragility curve is the fraction of directions that fail below a given amplitude. Measuring this curve directly requires nonli","authors_text":"Surachate Limkumnerd","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-30T16:11:31Z","title":"Pre-failure response spectra predict finite-amplitude fragility"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.00789","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:f1a122db43810dcd348a15102f45f199150de486e566640d3dbf50a889ab61b1","target":"record","created_at":"2026-06-02T01:04:05Z","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":"9db96597a438b1c4da0d6d7cfe2964ae9d64427ca4732b55bc09e9aa2534b244","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-30T16:11:31Z","title_canon_sha256":"b1df648b08cc9cef9459e92f3a1bb85606959156d7b7c1b7eb30d2d26b33f66d"},"schema_version":"1.0","source":{"id":"2606.00789","kind":"arxiv","version":1}},"canonical_sha256":"b6535a286c674bf4e434c18a24659cc1b221d0f145a86ccfbf7aa158fc9ef994","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6535a286c674bf4e434c18a24659cc1b221d0f145a86ccfbf7aa158fc9ef994","first_computed_at":"2026-06-02T01:04:05.869603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T01:04:05.869603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5kvtRsJeNc8cfUhoPgLViJF9iHKnUQFklnSz0hvM1GMfuLXsiahkBGPpY7vgAXikt2KADrxwhEnUitGhLhw9BQ==","signature_status":"signed_v1","signed_at":"2026-06-02T01:04:05.870100Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.00789","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1a122db43810dcd348a15102f45f199150de486e566640d3dbf50a889ab61b1","sha256:2cc9d5b77dcd46812c65cf977c5f96e4883cebdc46735dd733c39bc76d8b77c5"],"state_sha256":"d328581882b71815c6d565d86462f0d3493a940ceb43231df063a5ab933db1ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NVQ8a3Q0m989dZ6cUz1XS/y0DhZ6g+gUUQ/hShpMVP6ZlEQ5nwGTY9wLbhbxuAQPpMVViVcExzhUfCMvL2ImBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T14:01:38.422040Z","bundle_sha256":"ead098e86742042c782a7c1e11264a12dac13a7464bbeade6b7c215d1d62ceaf"}}