{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:MQCSTU2YRHFR5Y3W72AI2VITFW","short_pith_number":"pith:MQCSTU2Y","canonical_record":{"source":{"id":"1612.08911","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-12-28T16:02:04Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.mtrl-sci","cond-mat.stat-mech"],"title_canon_sha256":"cb8b8a7adcab17877810ca4820ee12a7a8b39924097e9790d426b9960f9a50d3","abstract_canon_sha256":"7af3c74506f5963a26deb5c1710f31a59b818eb87f88e47a98a6c314300b1398"},"schema_version":"1.0"},"canonical_sha256":"640529d35889cb1ee376fe808d55132d877bf70b201c1ffd8f8c6162ce7e1e69","source":{"kind":"arxiv","id":"1612.08911","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08911","created_at":"2026-05-18T00:32:14Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08911v1","created_at":"2026-05-18T00:32:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08911","created_at":"2026-05-18T00:32:14Z"},{"alias_kind":"pith_short_12","alias_value":"MQCSTU2YRHFR","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MQCSTU2YRHFR5Y3W","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MQCSTU2Y","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:MQCSTU2YRHFR5Y3W72AI2VITFW","target":"record","payload":{"canonical_record":{"source":{"id":"1612.08911","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-12-28T16:02:04Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.mtrl-sci","cond-mat.stat-mech"],"title_canon_sha256":"cb8b8a7adcab17877810ca4820ee12a7a8b39924097e9790d426b9960f9a50d3","abstract_canon_sha256":"7af3c74506f5963a26deb5c1710f31a59b818eb87f88e47a98a6c314300b1398"},"schema_version":"1.0"},"canonical_sha256":"640529d35889cb1ee376fe808d55132d877bf70b201c1ffd8f8c6162ce7e1e69","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:14.149785Z","signature_b64":"Z/uNL2zW7GNcHKvJUaIltA0gRvB8z0spbP2o5nzYxqOKekH8VBIItPzPelpIA2x4LL7P3rdDJfAvbo2z555lDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"640529d35889cb1ee376fe808d55132d877bf70b201c1ffd8f8c6162ce7e1e69","last_reissued_at":"2026-05-18T00:32:14.149121Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:14.149121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.08911","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":"2026-05-18T00:32:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oK499HSUa9sbjDlfBBihzJbvacelXkFUD6v2URMJA7tGszCedOFhtRM7OAyP6iiImXAp4g6lEMCgjhZcHbX4Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:22:12.353645Z"},"content_sha256":"7142c5db6c47b0e5940e4eed8bf40c8e830c7da19c30fb5f298a39cb3459ecd1","schema_version":"1.0","event_id":"sha256:7142c5db6c47b0e5940e4eed8bf40c8e830c7da19c30fb5f298a39cb3459ecd1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:MQCSTU2YRHFR5Y3W72AI2VITFW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fiber networks below the isostatic point: fracture without stress concentration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.mtrl-sci","cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"D. Zeb Rocklin, Leonard M. Sander, Leyou Zhang, Xiaoming Mao","submitted_at":"2016-12-28T16:02:04Z","abstract_excerpt":"Crack nucleation is a ubiquitous phenomena during materials failure, because stress focuses on crack tips. It is known that exceptions to this general rule arise in the limit of strong disorder or vanishing mechanical stability, where stress distributes over a divergent length scale and the material displays diffusive damage. Here we show, using simulations, that a class of diluted lattices displays a new critical phase when they are below isostaticity, where stress never concentrates, damage always occurs over a divergent length scale, and catastrophic failure is avoided."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08911","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":"2026-05-18T00:32:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KHMaSxuk6ulHMMqzsgl9SflHa85WcmkQznsjSzyyiJYJoXbErpd31YdHbaRnZKO42o18qQ9sRxCpFeqgNnl5Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:22:12.354001Z"},"content_sha256":"ccc9cd95dc2c3d05f36967f5aaa0f4ff58b3fec5611094778e6f07661acff000","schema_version":"1.0","event_id":"sha256:ccc9cd95dc2c3d05f36967f5aaa0f4ff58b3fec5611094778e6f07661acff000"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MQCSTU2YRHFR5Y3W72AI2VITFW/bundle.json","state_url":"https://pith.science/pith/MQCSTU2YRHFR5Y3W72AI2VITFW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MQCSTU2YRHFR5Y3W72AI2VITFW/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":"2026-05-27T04:22:12Z","links":{"resolver":"https://pith.science/pith/MQCSTU2YRHFR5Y3W72AI2VITFW","bundle":"https://pith.science/pith/MQCSTU2YRHFR5Y3W72AI2VITFW/bundle.json","state":"https://pith.science/pith/MQCSTU2YRHFR5Y3W72AI2VITFW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MQCSTU2YRHFR5Y3W72AI2VITFW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MQCSTU2YRHFR5Y3W72AI2VITFW","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":"7af3c74506f5963a26deb5c1710f31a59b818eb87f88e47a98a6c314300b1398","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.mtrl-sci","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-12-28T16:02:04Z","title_canon_sha256":"cb8b8a7adcab17877810ca4820ee12a7a8b39924097e9790d426b9960f9a50d3"},"schema_version":"1.0","source":{"id":"1612.08911","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08911","created_at":"2026-05-18T00:32:14Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08911v1","created_at":"2026-05-18T00:32:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08911","created_at":"2026-05-18T00:32:14Z"},{"alias_kind":"pith_short_12","alias_value":"MQCSTU2YRHFR","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MQCSTU2YRHFR5Y3W","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MQCSTU2Y","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:ccc9cd95dc2c3d05f36967f5aaa0f4ff58b3fec5611094778e6f07661acff000","target":"graph","created_at":"2026-05-18T00:32:14Z","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":"Crack nucleation is a ubiquitous phenomena during materials failure, because stress focuses on crack tips. It is known that exceptions to this general rule arise in the limit of strong disorder or vanishing mechanical stability, where stress distributes over a divergent length scale and the material displays diffusive damage. Here we show, using simulations, that a class of diluted lattices displays a new critical phase when they are below isostaticity, where stress never concentrates, damage always occurs over a divergent length scale, and catastrophic failure is avoided.","authors_text":"D. Zeb Rocklin, Leonard M. Sander, Leyou Zhang, Xiaoming Mao","cross_cats":["cond-mat.dis-nn","cond-mat.mtrl-sci","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-12-28T16:02:04Z","title":"Fiber networks below the isostatic point: fracture without stress concentration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08911","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":"sha256:7142c5db6c47b0e5940e4eed8bf40c8e830c7da19c30fb5f298a39cb3459ecd1","target":"record","created_at":"2026-05-18T00:32:14Z","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":"7af3c74506f5963a26deb5c1710f31a59b818eb87f88e47a98a6c314300b1398","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.mtrl-sci","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-12-28T16:02:04Z","title_canon_sha256":"cb8b8a7adcab17877810ca4820ee12a7a8b39924097e9790d426b9960f9a50d3"},"schema_version":"1.0","source":{"id":"1612.08911","kind":"arxiv","version":1}},"canonical_sha256":"640529d35889cb1ee376fe808d55132d877bf70b201c1ffd8f8c6162ce7e1e69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"640529d35889cb1ee376fe808d55132d877bf70b201c1ffd8f8c6162ce7e1e69","first_computed_at":"2026-05-18T00:32:14.149121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:14.149121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z/uNL2zW7GNcHKvJUaIltA0gRvB8z0spbP2o5nzYxqOKekH8VBIItPzPelpIA2x4LL7P3rdDJfAvbo2z555lDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:14.149785Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08911","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7142c5db6c47b0e5940e4eed8bf40c8e830c7da19c30fb5f298a39cb3459ecd1","sha256:ccc9cd95dc2c3d05f36967f5aaa0f4ff58b3fec5611094778e6f07661acff000"],"state_sha256":"1982cd8933cc5695bafa25ee7fd4b7250e5687f49e03b6fec05eb275dd02d794"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ACTilTsjE0/L8ru66HCc59e0VP61t8jyzfRSrryd1JWu5ldi3JYYZ9aBWhzn773apYbm2tW1I4LohOI2CAJQDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T04:22:12.356111Z","bundle_sha256":"b574d0f5911efb19e152fa81fe6b3b14dcba164b04f059c67b8748aff23ddccf"}}