{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CS5BUPX3CXYW2OMCIED2ZRDHJ2","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":"975fe78524c51e5404f0202fa9799e6055660d81199bca335123e4476c32f46a","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-06-21T14:36:05Z","title_canon_sha256":"953f45bed1dbcdea9139948114d8f6010a1c0b4c6502ee6ecf02df45f24676c4"},"schema_version":"1.0","source":{"id":"1606.06599","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06599","created_at":"2026-05-18T01:12:09Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06599v1","created_at":"2026-05-18T01:12:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06599","created_at":"2026-05-18T01:12:09Z"},{"alias_kind":"pith_short_12","alias_value":"CS5BUPX3CXYW","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CS5BUPX3CXYW2OMC","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CS5BUPX3","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:5994e606bee0b0a97fc4dc79c617b6f046e88405897cfa972405ae675474dae7","target":"graph","created_at":"2026-05-18T01:12:09Z","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":"When we elastically impose a homogeneous, affine deformation on amorphous solids, they also undergo an inhomogeneous, non-affine deformation, which can have a crucial impact on the overall elastic response. To correctly understand the elastic modulus $M$, it is therefore necessary to take into account not only the affine modulus $M_A$, but also the non-affine modulus $M_N$ that arises from the non-affine deformation. In the present work, we study the bulk ($M=K$) and shear ($M=G$) moduli in static jammed particulate packings over a range of packing fractions $\\varphi$. One novelty of this work","authors_text":"Hideyuki Mizuno, Kuniyasu Saitoh, Leonardo E. Silbert","cross_cats":["cond-mat.dis-nn","cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-06-21T14:36:05Z","title":"Elastic Moduli and Vibrational Modes in Jammed Particulate Packings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06599","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":"sha256:4847c4abc58c6e91f855423907ecf9b4222074996dad040c5493ab51eb34145f","target":"record","created_at":"2026-05-18T01:12:09Z","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":"975fe78524c51e5404f0202fa9799e6055660d81199bca335123e4476c32f46a","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-06-21T14:36:05Z","title_canon_sha256":"953f45bed1dbcdea9139948114d8f6010a1c0b4c6502ee6ecf02df45f24676c4"},"schema_version":"1.0","source":{"id":"1606.06599","kind":"arxiv","version":1}},"canonical_sha256":"14ba1a3efb15f16d39824107acc4674e97bd48493473fd1ec2ed98f482510138","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14ba1a3efb15f16d39824107acc4674e97bd48493473fd1ec2ed98f482510138","first_computed_at":"2026-05-18T01:12:09.125929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:09.125929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/jfMdJIuJdI+vT59Cpq7m0z81tPSIsCE87nV3GVGJeWDR1tKGZ3/grnhLtaGIeuwobHz7Ly6sk8TErmgYUoNCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:09.126553Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.06599","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4847c4abc58c6e91f855423907ecf9b4222074996dad040c5493ab51eb34145f","sha256:5994e606bee0b0a97fc4dc79c617b6f046e88405897cfa972405ae675474dae7"],"state_sha256":"c69473f7e5e117b0d962affd575233981601659658b73b8c3c2b736afd7d9ec9"}