{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2Y4MHQHZP7JMUDXWINHAOMBY2W","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":"41b07b9858eb3c68b6c0cead2ba74024ea101374af5d2a7b88cff97ad65ae2c3","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-02-26T09:40:30Z","title_canon_sha256":"49f8c304898d84aed7a6c8572a1b95fdc898133a2dd884e2a085ad4aed99af88"},"schema_version":"1.0","source":{"id":"1402.6473","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.6473","created_at":"2026-05-18T02:41:08Z"},{"alias_kind":"arxiv_version","alias_value":"1402.6473v5","created_at":"2026-05-18T02:41:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.6473","created_at":"2026-05-18T02:41:08Z"},{"alias_kind":"pith_short_12","alias_value":"2Y4MHQHZP7JM","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2Y4MHQHZP7JMUDXW","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2Y4MHQHZ","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:f0438077c4f9034f86f47d2deeee1f1dbf2bb10fd8feccf61214b5bf3a7925c2","target":"graph","created_at":"2026-05-18T02:41:08Z","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":"Shear modulus of frictionless granular materials near the jamming transition under oscillatory shear is numerically investigated. It is found that the shear modulus $G$ satisfies a scaling law to interpolate between $G \\sim (\\phi - \\phi_J)^{1/2}$ and $G \\sim \\gamma_0^{-1/2}(\\phi-\\phi_J)$ for a linear spring model of the elastic interaction between contacting grains, where $\\phi$, $\\phi_J$, and $\\gamma_0$ are, respectively, the volume fraction of grains, the fraction at the jamming point, and the amplitude of the oscillatory shear. The linear relation between the shear modulus and $\\phi - \\phi_","authors_text":"Hisao Hayakawa, Michio Otsuki","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-02-26T09:40:30Z","title":"Avalanche contribution to shear modulus of granular materials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.6473","kind":"arxiv","version":5},"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":"sha256:0a919096b8f8fe8d7d71cdb851ecd84689698fbd5bc4b896821fd20ef713602c","target":"record","created_at":"2026-05-18T02:41:08Z","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":"41b07b9858eb3c68b6c0cead2ba74024ea101374af5d2a7b88cff97ad65ae2c3","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-02-26T09:40:30Z","title_canon_sha256":"49f8c304898d84aed7a6c8572a1b95fdc898133a2dd884e2a085ad4aed99af88"},"schema_version":"1.0","source":{"id":"1402.6473","kind":"arxiv","version":5}},"canonical_sha256":"d638c3c0f97fd2ca0ef6434e073038d5889edf7f50ee370333bd931ed68e8a14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d638c3c0f97fd2ca0ef6434e073038d5889edf7f50ee370333bd931ed68e8a14","first_computed_at":"2026-05-18T02:41:08.646824Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:08.646824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f8iOC1uhrcg2M75zPsTPqGyrcSX2yHQ4cJ4BzyCAEcm/9JcIR9p9NHEekK22H7b8SFfuKOxtMC27r+h6oK81BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:08.647328Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.6473","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a919096b8f8fe8d7d71cdb851ecd84689698fbd5bc4b896821fd20ef713602c","sha256:f0438077c4f9034f86f47d2deeee1f1dbf2bb10fd8feccf61214b5bf3a7925c2"],"state_sha256":"4dfbf4a4c8659033537db9f3bf339c6861177a93c57f247c1a8ca0addd4d1eed"}