{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SUIWMYC6TFFBD7VPHFTN7QJIYF","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":"1c573689700bf2427b25fc0535d4956a24aa4415bc1211f5b30ddf36f11daa1d","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-05-15T14:07:46Z","title_canon_sha256":"eebe72d8946abf6edb70f03b7cb84328325ecfc4226d8a0554e2f7e211eb251d"},"schema_version":"1.0","source":{"id":"1305.3484","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3484","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3484v2","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3484","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"SUIWMYC6TFFB","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SUIWMYC6TFFBD7VP","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SUIWMYC6","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:d661b45a9e882719e9ef8ecc59777f36b4bafeb038188952486c5526faa53cbf","target":"graph","created_at":"2026-05-18T03:15:43Z","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":"Solids are distinguished from fluids by their ability to resist shear. In traditional solids, the resistance to shear is associated with the emergence of broken translational symmetry as exhibited by a non-uniform density pattern. In this work, we focus on the emergence of shear-rigidity in a class of solids where this paradigm is challenged. Dry granular materials have no energetically or entropically preferred density modulations. We show that, in contrast to traditional solids, the emergence of shear rigidity in these granular solids is a collective process, which is controlled solely by bo","authors_text":"Bulbul Chakraborty, Dapeng Bi, Jie Zhang, R.P. Behringer, Sumantra Sarkar","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-05-15T14:07:46Z","title":"Origin of Rigidity in Dry Granular Solids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3484","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":"sha256:692bb5bb9871ad2b3f9475ee32c525467db7025bb7e6201ad46e208c4c57cbfa","target":"record","created_at":"2026-05-18T03:15:43Z","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":"1c573689700bf2427b25fc0535d4956a24aa4415bc1211f5b30ddf36f11daa1d","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-05-15T14:07:46Z","title_canon_sha256":"eebe72d8946abf6edb70f03b7cb84328325ecfc4226d8a0554e2f7e211eb251d"},"schema_version":"1.0","source":{"id":"1305.3484","kind":"arxiv","version":2}},"canonical_sha256":"951166605e994a11feaf3966dfc128c162bfebf204d0c4122d20a0626eacc84f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"951166605e994a11feaf3966dfc128c162bfebf204d0c4122d20a0626eacc84f","first_computed_at":"2026-05-18T03:15:43.102130Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:43.102130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VvDJfWzGkn8SIrh4a6j2HouPXQEuCUHOgXNLXYdRmwo0sG9nMSzZJrFz+bZWlLl18E+/QParHKGJUqstTKXYAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:43.102692Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.3484","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:692bb5bb9871ad2b3f9475ee32c525467db7025bb7e6201ad46e208c4c57cbfa","sha256:d661b45a9e882719e9ef8ecc59777f36b4bafeb038188952486c5526faa53cbf"],"state_sha256":"4e080a9bfe154c4e8fe6371e28b12a6d2c133323ce7b3d7aa1d2ee26451439f9"}