{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LKXM46BPHNG6D34A3TODGYFXRW","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":"9f20366f18de248743597d4183588415ee107898f85334dff48929101f1ef531","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-08-22T15:40:24Z","title_canon_sha256":"c4fcdb00b3ead466f959331f538d7999dcea61b3a1ed53a2348719e83ff65c45"},"schema_version":"1.0","source":{"id":"1108.4354","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4354","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4354v1","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4354","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"pith_short_12","alias_value":"LKXM46BPHNG6","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LKXM46BPHNG6D34A","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LKXM46BP","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:0c3ae0cc2140ae7bb17b52fc94798009c5a4b580c4a7af5f7548074b1a4e8e2f","target":"graph","created_at":"2026-05-18T02:00:49Z","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 present a model for disordered 3D fiber networks to study their linear and nonlinear elasticity over a wide range of network densities and fiber lengths. In contrast to previous 2D models, these 3D networks with binary cross-links are under-constrained with respect to fiber stretching elasticity, suggesting that bending may dominate their response. We find that such networks exhibit a fiber length-controlled bending regime and a crossover to a stretch-dominated regime for lengths beyond a characteristic scale that depends on the fiber's elastic properties. Finally, by extending the model to","authors_text":"C. P. Broedersz, F. C. MacKintosh, M. Sheinman","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-08-22T15:40:24Z","title":"Length-Controlled Elasticity in 3D Fiber Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4354","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:c7c2e62bc383e4654cfd5e50c9801889d20cacb6073826897cd11827f0adeb4b","target":"record","created_at":"2026-05-18T02:00:49Z","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":"9f20366f18de248743597d4183588415ee107898f85334dff48929101f1ef531","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-08-22T15:40:24Z","title_canon_sha256":"c4fcdb00b3ead466f959331f538d7999dcea61b3a1ed53a2348719e83ff65c45"},"schema_version":"1.0","source":{"id":"1108.4354","kind":"arxiv","version":1}},"canonical_sha256":"5aaece782f3b4de1ef80dcdc3360b78d8ce20886383c4d88fa49b96910903dbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5aaece782f3b4de1ef80dcdc3360b78d8ce20886383c4d88fa49b96910903dbc","first_computed_at":"2026-05-18T02:00:49.810424Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:49.810424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kHG9olYVZ9TABuAPXBDIsgQ7MoW+0bmB3JQovcQtgRGUfZKeNYdfYMF91OT+OJqaTMLo4ThnhU+uCbMS1R0xDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:49.811134Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4354","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7c2e62bc383e4654cfd5e50c9801889d20cacb6073826897cd11827f0adeb4b","sha256:0c3ae0cc2140ae7bb17b52fc94798009c5a4b580c4a7af5f7548074b1a4e8e2f"],"state_sha256":"b061bbf34bb45968500c711ef9a6238384b1a46a15345cfcc08f961aedbaa36c"}