{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:QMDXFVAXHGZZJG64FNU6273VY5","short_pith_number":"pith:QMDXFVAX","canonical_record":{"source":{"id":"1902.04914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2019-02-13T14:21:52Z","cross_cats_sorted":[],"title_canon_sha256":"1edb70ecfce3001d53b56a12c483ef846d56893b202ee20f3c9392f2abdcc23b","abstract_canon_sha256":"ccbccafafa462cdcada18f3b1feaa52290553f876b9fa3ff14e9bb0958c5e45a"},"schema_version":"1.0"},"canonical_sha256":"830772d41739b3949bdc2b69ed7f75c77a4afeb6a29d1aa583342da2ef578e38","source":{"kind":"arxiv","id":"1902.04914","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.04914","created_at":"2026-05-17T23:50:19Z"},{"alias_kind":"arxiv_version","alias_value":"1902.04914v1","created_at":"2026-05-17T23:50:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04914","created_at":"2026-05-17T23:50:19Z"},{"alias_kind":"pith_short_12","alias_value":"QMDXFVAXHGZZ","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QMDXFVAXHGZZJG64","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QMDXFVAX","created_at":"2026-05-18T12:33:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:QMDXFVAXHGZZJG64FNU6273VY5","target":"record","payload":{"canonical_record":{"source":{"id":"1902.04914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2019-02-13T14:21:52Z","cross_cats_sorted":[],"title_canon_sha256":"1edb70ecfce3001d53b56a12c483ef846d56893b202ee20f3c9392f2abdcc23b","abstract_canon_sha256":"ccbccafafa462cdcada18f3b1feaa52290553f876b9fa3ff14e9bb0958c5e45a"},"schema_version":"1.0"},"canonical_sha256":"830772d41739b3949bdc2b69ed7f75c77a4afeb6a29d1aa583342da2ef578e38","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:19.345389Z","signature_b64":"d/anVjv26oR4GDQUHv1TSrxHMhvXdzk+5lclCAbXvpG+GOYlY5QDzSfu2EAONPXfkVtLbCwtAkiQw5cDuH1aAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"830772d41739b3949bdc2b69ed7f75c77a4afeb6a29d1aa583342da2ef578e38","last_reissued_at":"2026-05-17T23:50:19.344779Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:19.344779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.04914","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":"2026-05-17T23:50:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IPHZS1V7lsgRNC3iqJHwXaGpuixBfwrTfEn8Jc0TETZ9FltYLtSCIWjLSQDJMNlW/qFEuiN4Z/znK+2k3HXxBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:25:01.389094Z"},"content_sha256":"2e44e2aeb298f7fa2bc6dc95884f6469963d260ff6053c5d0cdd22703e4dcab6","schema_version":"1.0","event_id":"sha256:2e44e2aeb298f7fa2bc6dc95884f6469963d260ff6053c5d0cdd22703e4dcab6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:QMDXFVAXHGZZJG64FNU6273VY5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mode I crack tip fields: strain gradient plasticity theory versus J2 flow theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Emilio Mart\\'inez-Pa\\~neda, Norman A. Fleck","submitted_at":"2019-02-13T14:21:52Z","abstract_excerpt":"The mode I crack tip asymptotic response of a solid characterised by strain gradient plasticity is investigated. It is found that elastic strains dominate plastic strains near the crack tip, and thus the Cauchy stress and the strain state are given asymptotically by the elastic K-field. This crack tip elastic zone is embedded within an annular elasto-plastic zone. This feature is predicted by both a crack tip asymptotic analysis and a finite element computation. When small scale yielding applies, three distinct regimes exist: an outer elastic K field, an intermediate elasto-plastic field, and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04914","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":"2026-05-17T23:50:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gG9G5Y3vjfYbNrS5O3DAc+EdNaSgg7Clv9sK96agHFwFXfIO+A2WOFQtiTsL7rTiH2d2mnNTEeggU9pguI4lDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:25:01.389478Z"},"content_sha256":"dc5c027287b22730cc0654813e8900e6507d792181a34f94e01a1dea922a6c8a","schema_version":"1.0","event_id":"sha256:dc5c027287b22730cc0654813e8900e6507d792181a34f94e01a1dea922a6c8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QMDXFVAXHGZZJG64FNU6273VY5/bundle.json","state_url":"https://pith.science/pith/QMDXFVAXHGZZJG64FNU6273VY5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QMDXFVAXHGZZJG64FNU6273VY5/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":"2026-06-01T03:25:01Z","links":{"resolver":"https://pith.science/pith/QMDXFVAXHGZZJG64FNU6273VY5","bundle":"https://pith.science/pith/QMDXFVAXHGZZJG64FNU6273VY5/bundle.json","state":"https://pith.science/pith/QMDXFVAXHGZZJG64FNU6273VY5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QMDXFVAXHGZZJG64FNU6273VY5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QMDXFVAXHGZZJG64FNU6273VY5","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":"ccbccafafa462cdcada18f3b1feaa52290553f876b9fa3ff14e9bb0958c5e45a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2019-02-13T14:21:52Z","title_canon_sha256":"1edb70ecfce3001d53b56a12c483ef846d56893b202ee20f3c9392f2abdcc23b"},"schema_version":"1.0","source":{"id":"1902.04914","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.04914","created_at":"2026-05-17T23:50:19Z"},{"alias_kind":"arxiv_version","alias_value":"1902.04914v1","created_at":"2026-05-17T23:50:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04914","created_at":"2026-05-17T23:50:19Z"},{"alias_kind":"pith_short_12","alias_value":"QMDXFVAXHGZZ","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QMDXFVAXHGZZJG64","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QMDXFVAX","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:dc5c027287b22730cc0654813e8900e6507d792181a34f94e01a1dea922a6c8a","target":"graph","created_at":"2026-05-17T23:50:19Z","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":"The mode I crack tip asymptotic response of a solid characterised by strain gradient plasticity is investigated. It is found that elastic strains dominate plastic strains near the crack tip, and thus the Cauchy stress and the strain state are given asymptotically by the elastic K-field. This crack tip elastic zone is embedded within an annular elasto-plastic zone. This feature is predicted by both a crack tip asymptotic analysis and a finite element computation. When small scale yielding applies, three distinct regimes exist: an outer elastic K field, an intermediate elasto-plastic field, and ","authors_text":"Emilio Mart\\'inez-Pa\\~neda, Norman A. Fleck","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2019-02-13T14:21:52Z","title":"Mode I crack tip fields: strain gradient plasticity theory versus J2 flow theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04914","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":"sha256:2e44e2aeb298f7fa2bc6dc95884f6469963d260ff6053c5d0cdd22703e4dcab6","target":"record","created_at":"2026-05-17T23:50:19Z","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":"ccbccafafa462cdcada18f3b1feaa52290553f876b9fa3ff14e9bb0958c5e45a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2019-02-13T14:21:52Z","title_canon_sha256":"1edb70ecfce3001d53b56a12c483ef846d56893b202ee20f3c9392f2abdcc23b"},"schema_version":"1.0","source":{"id":"1902.04914","kind":"arxiv","version":1}},"canonical_sha256":"830772d41739b3949bdc2b69ed7f75c77a4afeb6a29d1aa583342da2ef578e38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"830772d41739b3949bdc2b69ed7f75c77a4afeb6a29d1aa583342da2ef578e38","first_computed_at":"2026-05-17T23:50:19.344779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:19.344779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d/anVjv26oR4GDQUHv1TSrxHMhvXdzk+5lclCAbXvpG+GOYlY5QDzSfu2EAONPXfkVtLbCwtAkiQw5cDuH1aAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:19.345389Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.04914","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e44e2aeb298f7fa2bc6dc95884f6469963d260ff6053c5d0cdd22703e4dcab6","sha256:dc5c027287b22730cc0654813e8900e6507d792181a34f94e01a1dea922a6c8a"],"state_sha256":"46152f1570f8070a0e99c5711958c11613d653ca9e9cbbb39a0dcbfcfbb35e23"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DTxP99RFRsie6RiloQa9DjACKbWI4jE2wvo69KWCzMqnRwm9U3iTWY3gIsCMZPJIBZ0s9mHAQs/cnPFkP+BxDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T03:25:01.391728Z","bundle_sha256":"02d1ee2b49d0b375c9cb2d5db9783ca91904c57a7fdf3d59ed858d94856a7ad8"}}