{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CQYM6ZDEXPUV6YXUMAS6NUZ5KW","short_pith_number":"pith:CQYM6ZDE","schema_version":"1.0","canonical_sha256":"1430cf6464bbe95f62f46025e6d33d558c5d8a8cd8df78e5531d8e5daff62d22","source":{"kind":"arxiv","id":"1706.06153","version":1},"attestation_state":"computed","paper":{"title":"Linking microscopic and macroscopic response in disordered solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Andrea J. Liu, Daniel Hexner, Sidney R. Nagel","submitted_at":"2017-06-19T19:43:20Z","abstract_excerpt":"The modulus of a rigid network of harmonic springs depends on the sum of the energies in each of the bonds due to the applied distortion: compression in the case of the bulk modulus, $B$, or shear in the case of the shear modulus, $\\mathcal{G}$. The distortion need not be global and we introduce a local modulus, $L_{i}$, associated with changing the equilibrium length of a single bond, $i$, in the network. We show that $L_{i}$ is useful for understanding many aspects of the mechanical response of the entire system. For example, it allows an understanding, and efficient computation, of how each"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1706.06153","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-06-19T19:43:20Z","cross_cats_sorted":[],"title_canon_sha256":"6e4e1a81109c7445717d65a2622d2e3518ded08eddd05d4ae70fe9e2bd76ddf7","abstract_canon_sha256":"13a91e540ced63db2f007040c4f47be4d54807c8406646c65a4fdf89aaf619f9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:32.542464Z","signature_b64":"oHIVLW8jh+SZ4D+O+vvQw+DtGj8mnvKiqVxDC1Xy5HGXirMFR/mMZeXyr4vv5c6ndog77sOJhQ7m30/0m+XfAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1430cf6464bbe95f62f46025e6d33d558c5d8a8cd8df78e5531d8e5daff62d22","last_reissued_at":"2026-05-18T00:13:32.542009Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:32.542009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linking microscopic and macroscopic response in disordered solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Andrea J. Liu, Daniel Hexner, Sidney R. Nagel","submitted_at":"2017-06-19T19:43:20Z","abstract_excerpt":"The modulus of a rigid network of harmonic springs depends on the sum of the energies in each of the bonds due to the applied distortion: compression in the case of the bulk modulus, $B$, or shear in the case of the shear modulus, $\\mathcal{G}$. The distortion need not be global and we introduce a local modulus, $L_{i}$, associated with changing the equilibrium length of a single bond, $i$, in the network. We show that $L_{i}$ is useful for understanding many aspects of the mechanical response of the entire system. For example, it allows an understanding, and efficient computation, of how each"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06153","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1706.06153","created_at":"2026-05-18T00:13:32.542087+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.06153v1","created_at":"2026-05-18T00:13:32.542087+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06153","created_at":"2026-05-18T00:13:32.542087+00:00"},{"alias_kind":"pith_short_12","alias_value":"CQYM6ZDEXPUV","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CQYM6ZDEXPUV6YXU","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CQYM6ZDE","created_at":"2026-05-18T12:31:10.602751+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.09495","citing_title":"Enabling Structure-Only Initialization and Out-of-Distribution Generalization in GNN-based Molecular Dynamics Simulators","ref_index":203,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CQYM6ZDEXPUV6YXUMAS6NUZ5KW","json":"https://pith.science/pith/CQYM6ZDEXPUV6YXUMAS6NUZ5KW.json","graph_json":"https://pith.science/api/pith-number/CQYM6ZDEXPUV6YXUMAS6NUZ5KW/graph.json","events_json":"https://pith.science/api/pith-number/CQYM6ZDEXPUV6YXUMAS6NUZ5KW/events.json","paper":"https://pith.science/paper/CQYM6ZDE"},"agent_actions":{"view_html":"https://pith.science/pith/CQYM6ZDEXPUV6YXUMAS6NUZ5KW","download_json":"https://pith.science/pith/CQYM6ZDEXPUV6YXUMAS6NUZ5KW.json","view_paper":"https://pith.science/paper/CQYM6ZDE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.06153&json=true","fetch_graph":"https://pith.science/api/pith-number/CQYM6ZDEXPUV6YXUMAS6NUZ5KW/graph.json","fetch_events":"https://pith.science/api/pith-number/CQYM6ZDEXPUV6YXUMAS6NUZ5KW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CQYM6ZDEXPUV6YXUMAS6NUZ5KW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CQYM6ZDEXPUV6YXUMAS6NUZ5KW/action/storage_attestation","attest_author":"https://pith.science/pith/CQYM6ZDEXPUV6YXUMAS6NUZ5KW/action/author_attestation","sign_citation":"https://pith.science/pith/CQYM6ZDEXPUV6YXUMAS6NUZ5KW/action/citation_signature","submit_replication":"https://pith.science/pith/CQYM6ZDEXPUV6YXUMAS6NUZ5KW/action/replication_record"}},"created_at":"2026-05-18T00:13:32.542087+00:00","updated_at":"2026-05-18T00:13:32.542087+00:00"}