{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SERG5BPODQBH6CNOBVOT76WXDI","short_pith_number":"pith:SERG5BPO","canonical_record":{"source":{"id":"1001.5053","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-01-28T14:44:12Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a59b2280e1f1facc8133b5d91a60f1ef8a3ddf57d7f6ad346ea29bbaaa056e53","abstract_canon_sha256":"07a426871343316cb67e93fa17314702082b161fb18bfb9751519e838f13f62e"},"schema_version":"1.0"},"canonical_sha256":"91226e85ee1c027f09ae0d5d3ffad71a008f2f1566a70f55e0c7636c1567fe9d","source":{"kind":"arxiv","id":"1001.5053","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.5053","created_at":"2026-05-18T04:41:34Z"},{"alias_kind":"arxiv_version","alias_value":"1001.5053v2","created_at":"2026-05-18T04:41:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.5053","created_at":"2026-05-18T04:41:34Z"},{"alias_kind":"pith_short_12","alias_value":"SERG5BPODQBH","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SERG5BPODQBH6CNO","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SERG5BPO","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SERG5BPODQBH6CNOBVOT76WXDI","target":"record","payload":{"canonical_record":{"source":{"id":"1001.5053","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-01-28T14:44:12Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a59b2280e1f1facc8133b5d91a60f1ef8a3ddf57d7f6ad346ea29bbaaa056e53","abstract_canon_sha256":"07a426871343316cb67e93fa17314702082b161fb18bfb9751519e838f13f62e"},"schema_version":"1.0"},"canonical_sha256":"91226e85ee1c027f09ae0d5d3ffad71a008f2f1566a70f55e0c7636c1567fe9d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:34.909589Z","signature_b64":"W7QeQwDtG2e7uYVrsc3Wo/IAzWOqlAz6f6RoicU2AI7zgTTCc4uQ+cwoNRmv/VBxljClpNcgAN7R7Qt8+v4kBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91226e85ee1c027f09ae0d5d3ffad71a008f2f1566a70f55e0c7636c1567fe9d","last_reissued_at":"2026-05-18T04:41:34.909112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:34.909112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.5053","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":"2026-05-18T04:41:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RWxciXN903HhA3+Xve4iihkpYCHVdB8azo7HQFLLWRSQPdyOkPvSmcuvXTxrl3tVhEyroHQ1fptVMY87BkWsAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:46:33.925999Z"},"content_sha256":"a250e13b101541a566cc1eb358147d0ac21ce40f0d36612839bf251626c464fe","schema_version":"1.0","event_id":"sha256:a250e13b101541a566cc1eb358147d0ac21ce40f0d36612839bf251626c464fe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SERG5BPODQBH6CNOBVOT76WXDI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bending crystals: Emergence of fractal dislocation structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"James P. Sethna, Stefanos Papanikolaou, Woosong Choi, Yong S. Chen","submitted_at":"2010-01-28T14:44:12Z","abstract_excerpt":"We provide a minimal continuum model for mesoscale plasticity, explaining the cellular dislocation structures observed in deformed crystals. Our dislocation density tensor evolves from random, smooth initial conditions to form self-similar structures strikingly similar to those seen experimentally - reproducing both the fractal morphologies and some features of the scaling of cell sizes and misorientations analyzed experimentally. Our model provides a framework for understanding emergent dislocation structures on the mesoscale, a bridge across a computationally demanding mesoscale gap in the m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.5053","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":""},"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":"2026-05-18T04:41:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cJH8lzYya9AFLRUpkAgRPmWdkzIsUlELqpdkMNKkg73bb4xccnxw8rrLSNG+elCahFqBr1rvnKwlIrSYDluHBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:46:33.926361Z"},"content_sha256":"33795c73110f9a5c481eb11e5eee40133e8194778f2c68738cc59ca7c3d45da4","schema_version":"1.0","event_id":"sha256:33795c73110f9a5c481eb11e5eee40133e8194778f2c68738cc59ca7c3d45da4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SERG5BPODQBH6CNOBVOT76WXDI/bundle.json","state_url":"https://pith.science/pith/SERG5BPODQBH6CNOBVOT76WXDI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SERG5BPODQBH6CNOBVOT76WXDI/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":"2026-05-28T06:46:33Z","links":{"resolver":"https://pith.science/pith/SERG5BPODQBH6CNOBVOT76WXDI","bundle":"https://pith.science/pith/SERG5BPODQBH6CNOBVOT76WXDI/bundle.json","state":"https://pith.science/pith/SERG5BPODQBH6CNOBVOT76WXDI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SERG5BPODQBH6CNOBVOT76WXDI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SERG5BPODQBH6CNOBVOT76WXDI","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":"07a426871343316cb67e93fa17314702082b161fb18bfb9751519e838f13f62e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-01-28T14:44:12Z","title_canon_sha256":"a59b2280e1f1facc8133b5d91a60f1ef8a3ddf57d7f6ad346ea29bbaaa056e53"},"schema_version":"1.0","source":{"id":"1001.5053","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.5053","created_at":"2026-05-18T04:41:34Z"},{"alias_kind":"arxiv_version","alias_value":"1001.5053v2","created_at":"2026-05-18T04:41:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.5053","created_at":"2026-05-18T04:41:34Z"},{"alias_kind":"pith_short_12","alias_value":"SERG5BPODQBH","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SERG5BPODQBH6CNO","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SERG5BPO","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:33795c73110f9a5c481eb11e5eee40133e8194778f2c68738cc59ca7c3d45da4","target":"graph","created_at":"2026-05-18T04:41:34Z","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":"We provide a minimal continuum model for mesoscale plasticity, explaining the cellular dislocation structures observed in deformed crystals. Our dislocation density tensor evolves from random, smooth initial conditions to form self-similar structures strikingly similar to those seen experimentally - reproducing both the fractal morphologies and some features of the scaling of cell sizes and misorientations analyzed experimentally. Our model provides a framework for understanding emergent dislocation structures on the mesoscale, a bridge across a computationally demanding mesoscale gap in the m","authors_text":"James P. Sethna, Stefanos Papanikolaou, Woosong Choi, Yong S. Chen","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-01-28T14:44:12Z","title":"Bending crystals: Emergence of fractal dislocation structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.5053","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:a250e13b101541a566cc1eb358147d0ac21ce40f0d36612839bf251626c464fe","target":"record","created_at":"2026-05-18T04:41:34Z","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":"07a426871343316cb67e93fa17314702082b161fb18bfb9751519e838f13f62e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-01-28T14:44:12Z","title_canon_sha256":"a59b2280e1f1facc8133b5d91a60f1ef8a3ddf57d7f6ad346ea29bbaaa056e53"},"schema_version":"1.0","source":{"id":"1001.5053","kind":"arxiv","version":2}},"canonical_sha256":"91226e85ee1c027f09ae0d5d3ffad71a008f2f1566a70f55e0c7636c1567fe9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91226e85ee1c027f09ae0d5d3ffad71a008f2f1566a70f55e0c7636c1567fe9d","first_computed_at":"2026-05-18T04:41:34.909112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:34.909112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W7QeQwDtG2e7uYVrsc3Wo/IAzWOqlAz6f6RoicU2AI7zgTTCc4uQ+cwoNRmv/VBxljClpNcgAN7R7Qt8+v4kBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:34.909589Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.5053","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a250e13b101541a566cc1eb358147d0ac21ce40f0d36612839bf251626c464fe","sha256:33795c73110f9a5c481eb11e5eee40133e8194778f2c68738cc59ca7c3d45da4"],"state_sha256":"cdd34fb917a1f444ad6fb8ce295f1266c097fd771ef0088a371f4256ce778eb8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vLZypAluQLjxSlUo0BS5WkqrNZJTA81goUyNl73C8tD8O2Ty9B08jo+v0e2x0Xc/zHZDJq5y9Jcp7iGDC6kOAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T06:46:33.928392Z","bundle_sha256":"95799a7e948c8e9a8dfe99f24045dc7e6186e0566f5abe11dd8a54db1514bd8f"}}