{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:SAOCBEFDKCV7NWZY2JL5FWCSUW","short_pith_number":"pith:SAOCBEFD","canonical_record":{"source":{"id":"1402.2998","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-02-12T22:36:03Z","cross_cats_sorted":["physics.bio-ph","q-bio.QM"],"title_canon_sha256":"43bae4caef213d2ece1eb13b3ed3b97de543d29759617029d9e893ff48c52937","abstract_canon_sha256":"dadbaa82fcb3492d926f596f297aca5d8583b14d43b8b073a6a09324953973cc"},"schema_version":"1.0"},"canonical_sha256":"901c2090a350abf6db38d257d2d852a5b91321e25a927fe86c6080a369bf2fe3","source":{"kind":"arxiv","id":"1402.2998","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2998","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2998v2","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2998","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"pith_short_12","alias_value":"SAOCBEFDKCV7","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SAOCBEFDKCV7NWZY","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SAOCBEFD","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:SAOCBEFDKCV7NWZY2JL5FWCSUW","target":"record","payload":{"canonical_record":{"source":{"id":"1402.2998","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-02-12T22:36:03Z","cross_cats_sorted":["physics.bio-ph","q-bio.QM"],"title_canon_sha256":"43bae4caef213d2ece1eb13b3ed3b97de543d29759617029d9e893ff48c52937","abstract_canon_sha256":"dadbaa82fcb3492d926f596f297aca5d8583b14d43b8b073a6a09324953973cc"},"schema_version":"1.0"},"canonical_sha256":"901c2090a350abf6db38d257d2d852a5b91321e25a927fe86c6080a369bf2fe3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:38.718059Z","signature_b64":"72KIH4FTYCWEcvCWjlbz93ANhUwqbRDkPbQZpLbZ8oCQJx/7Qo8BcDTqhBd++2CRgHgObaZ7o5hFxf5qeFTBCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"901c2090a350abf6db38d257d2d852a5b91321e25a927fe86c6080a369bf2fe3","last_reissued_at":"2026-05-18T01:44:38.717526Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:38.717526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.2998","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":"2026-05-18T01:44:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p3SNTtgte5Yq9bMkyTlU5/u9jz4spMkAA5O+/PefjWzHZH5EkqjO3oGh0sgy0D3AOKzZxKiHgGA753A4qgLRBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T08:00:08.342169Z"},"content_sha256":"2b1d02a80f460535345b81548c248b3093acc81beac144c5c7d175ba967a2ea5","schema_version":"1.0","event_id":"sha256:2b1d02a80f460535345b81548c248b3093acc81beac144c5c7d175ba967a2ea5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:SAOCBEFDKCV7NWZY2JL5FWCSUW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Alignment and Nonlinear Elasticity in Biopolymer Gels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph","q-bio.QM"],"primary_cat":"cond-mat.soft","authors_text":"Herbert Levine, Jingchen Feng, Leonard M. Sander, Xiaoming Mao","submitted_at":"2014-02-12T22:36:03Z","abstract_excerpt":"We present a Landau type theory for the non-linear elasticity of biopolymer gels with a part of the order parameter describing induced nematic order of fibers in the gel. We attribute the non-linear elastic behavior of these materials to fiber alignment induced by strain. We suggest an application to contact guidance of cell motility in tissue. We compare our theory to simulation of a disordered lattice model for biopolymers. We treat homogeneous deformations such as simple shear, hydrostatic expansion, and simple extension, and obtain good agreement between theory and simulation. We also cons"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2998","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":"2026-05-18T01:44:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wfp8RD2pD+OAgUejItJLSkutRgfZ4BnZ8/b8JD7TrpioU+p5NON14GP3MlxWNyGJE5Aj0V3695+xF8j60tdqDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T08:00:08.342686Z"},"content_sha256":"52871d09aac8567afb5ce6b7ec3fbd632bb3c6b0d2e674c89830772f30af453f","schema_version":"1.0","event_id":"sha256:52871d09aac8567afb5ce6b7ec3fbd632bb3c6b0d2e674c89830772f30af453f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SAOCBEFDKCV7NWZY2JL5FWCSUW/bundle.json","state_url":"https://pith.science/pith/SAOCBEFDKCV7NWZY2JL5FWCSUW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SAOCBEFDKCV7NWZY2JL5FWCSUW/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":"2026-05-22T08:00:08Z","links":{"resolver":"https://pith.science/pith/SAOCBEFDKCV7NWZY2JL5FWCSUW","bundle":"https://pith.science/pith/SAOCBEFDKCV7NWZY2JL5FWCSUW/bundle.json","state":"https://pith.science/pith/SAOCBEFDKCV7NWZY2JL5FWCSUW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SAOCBEFDKCV7NWZY2JL5FWCSUW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SAOCBEFDKCV7NWZY2JL5FWCSUW","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":"dadbaa82fcb3492d926f596f297aca5d8583b14d43b8b073a6a09324953973cc","cross_cats_sorted":["physics.bio-ph","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-02-12T22:36:03Z","title_canon_sha256":"43bae4caef213d2ece1eb13b3ed3b97de543d29759617029d9e893ff48c52937"},"schema_version":"1.0","source":{"id":"1402.2998","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2998","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2998v2","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2998","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"pith_short_12","alias_value":"SAOCBEFDKCV7","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SAOCBEFDKCV7NWZY","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SAOCBEFD","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:52871d09aac8567afb5ce6b7ec3fbd632bb3c6b0d2e674c89830772f30af453f","target":"graph","created_at":"2026-05-18T01:44:38Z","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 Landau type theory for the non-linear elasticity of biopolymer gels with a part of the order parameter describing induced nematic order of fibers in the gel. We attribute the non-linear elastic behavior of these materials to fiber alignment induced by strain. We suggest an application to contact guidance of cell motility in tissue. We compare our theory to simulation of a disordered lattice model for biopolymers. We treat homogeneous deformations such as simple shear, hydrostatic expansion, and simple extension, and obtain good agreement between theory and simulation. We also cons","authors_text":"Herbert Levine, Jingchen Feng, Leonard M. Sander, Xiaoming Mao","cross_cats":["physics.bio-ph","q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-02-12T22:36:03Z","title":"Alignment and Nonlinear Elasticity in Biopolymer Gels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2998","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":"sha256:2b1d02a80f460535345b81548c248b3093acc81beac144c5c7d175ba967a2ea5","target":"record","created_at":"2026-05-18T01:44:38Z","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":"dadbaa82fcb3492d926f596f297aca5d8583b14d43b8b073a6a09324953973cc","cross_cats_sorted":["physics.bio-ph","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-02-12T22:36:03Z","title_canon_sha256":"43bae4caef213d2ece1eb13b3ed3b97de543d29759617029d9e893ff48c52937"},"schema_version":"1.0","source":{"id":"1402.2998","kind":"arxiv","version":2}},"canonical_sha256":"901c2090a350abf6db38d257d2d852a5b91321e25a927fe86c6080a369bf2fe3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"901c2090a350abf6db38d257d2d852a5b91321e25a927fe86c6080a369bf2fe3","first_computed_at":"2026-05-18T01:44:38.717526Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:38.717526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"72KIH4FTYCWEcvCWjlbz93ANhUwqbRDkPbQZpLbZ8oCQJx/7Qo8BcDTqhBd++2CRgHgObaZ7o5hFxf5qeFTBCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:38.718059Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.2998","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b1d02a80f460535345b81548c248b3093acc81beac144c5c7d175ba967a2ea5","sha256:52871d09aac8567afb5ce6b7ec3fbd632bb3c6b0d2e674c89830772f30af453f"],"state_sha256":"f56d4f41101ec17f8de59bf73c16a9c83014695b0b1c401b3e36d88f309d6aef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"my/ZLVJIAvuJz0txXaoytgpUMtEVC82eVoEPTpnorB/NbqnHuHKuHJVvxQ4Nv+QKzGCDk+RbtOHbXk6lfmx5Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T08:00:08.346003Z","bundle_sha256":"78fadd571999fe8b62f127e7a7f99e10e37629d53abb48a7ab19af86cfbfb8ee"}}