{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1998:24HAVGVSM2MWL4SDUGR6DPXDQH","short_pith_number":"pith:24HAVGVS","schema_version":"1.0","canonical_sha256":"d70e0a9ab2669965f243a1a3e1bee381cdf4ea1386da2398063546dfba93926d","source":{"kind":"arxiv","id":"cond-mat/9807004","version":1},"attestation_state":"computed","paper":{"title":"Granular matter instability: A structural rigidity point of view","license":"","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.soft","authors_text":"Brazil), Cristian F. Moukarzel (UFF","submitted_at":"1998-07-01T01:20:27Z","abstract_excerpt":"Stress paths in granular matter often suffer sudden large-scale rearrangements when the system is slightly perturbed, i.e. granular systems are unstable. We show in this paper that the observed instability is due to the minimally rigid, or isostatic, character of the system's contact network. It is first demonstrated that the contact network of a granular packing becomes isostatic (minimally rigid) in any dimension in the limit of large stiffness-to-load ratio. We next show that, in this isostatic limit, the load-stress response function becomes power-law distributed and takes exponentially la"},"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":"cond-mat/9807004","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"1998-07-01T01:20:27Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"96c9d4a670b63a365123c73c7936bdc563e7bee89697b67cc422681bb2ef724e","abstract_canon_sha256":"792c2191836da30f3e6c8752cd654cfecbde3bbf7a26fc8d33d46b9814c04976"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:23:09.369741Z","signature_b64":"iFEgbfRn9i7GXISCdgrfFUllT6MDv5eepm1gCsPpwXbJTsJiVa0YPkfGl2BjJjVwJybxhKzAMcZDwpCIQUjJAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d70e0a9ab2669965f243a1a3e1bee381cdf4ea1386da2398063546dfba93926d","last_reissued_at":"2026-07-04T14:23:09.369288Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:23:09.369288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Granular matter instability: A structural rigidity point of view","license":"","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.soft","authors_text":"Brazil), Cristian F. Moukarzel (UFF","submitted_at":"1998-07-01T01:20:27Z","abstract_excerpt":"Stress paths in granular matter often suffer sudden large-scale rearrangements when the system is slightly perturbed, i.e. granular systems are unstable. We show in this paper that the observed instability is due to the minimally rigid, or isostatic, character of the system's contact network. It is first demonstrated that the contact network of a granular packing becomes isostatic (minimally rigid) in any dimension in the limit of large stiffness-to-load ratio. We next show that, in this isostatic limit, the load-stress response function becomes power-law distributed and takes exponentially la"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9807004","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/9807004/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"cond-mat/9807004","created_at":"2026-07-04T14:23:09.369355+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9807004v1","created_at":"2026-07-04T14:23:09.369355+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9807004","created_at":"2026-07-04T14:23:09.369355+00:00"},{"alias_kind":"pith_short_12","alias_value":"24HAVGVSM2MW","created_at":"2026-07-04T14:23:09.369355+00:00"},{"alias_kind":"pith_short_16","alias_value":"24HAVGVSM2MWL4SD","created_at":"2026-07-04T14:23:09.369355+00:00"},{"alias_kind":"pith_short_8","alias_value":"24HAVGVS","created_at":"2026-07-04T14:23:09.369355+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/24HAVGVSM2MWL4SDUGR6DPXDQH","json":"https://pith.science/pith/24HAVGVSM2MWL4SDUGR6DPXDQH.json","graph_json":"https://pith.science/api/pith-number/24HAVGVSM2MWL4SDUGR6DPXDQH/graph.json","events_json":"https://pith.science/api/pith-number/24HAVGVSM2MWL4SDUGR6DPXDQH/events.json","paper":"https://pith.science/paper/24HAVGVS"},"agent_actions":{"view_html":"https://pith.science/pith/24HAVGVSM2MWL4SDUGR6DPXDQH","download_json":"https://pith.science/pith/24HAVGVSM2MWL4SDUGR6DPXDQH.json","view_paper":"https://pith.science/paper/24HAVGVS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/9807004&json=true","fetch_graph":"https://pith.science/api/pith-number/24HAVGVSM2MWL4SDUGR6DPXDQH/graph.json","fetch_events":"https://pith.science/api/pith-number/24HAVGVSM2MWL4SDUGR6DPXDQH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/24HAVGVSM2MWL4SDUGR6DPXDQH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/24HAVGVSM2MWL4SDUGR6DPXDQH/action/storage_attestation","attest_author":"https://pith.science/pith/24HAVGVSM2MWL4SDUGR6DPXDQH/action/author_attestation","sign_citation":"https://pith.science/pith/24HAVGVSM2MWL4SDUGR6DPXDQH/action/citation_signature","submit_replication":"https://pith.science/pith/24HAVGVSM2MWL4SDUGR6DPXDQH/action/replication_record"}},"created_at":"2026-07-04T14:23:09.369355+00:00","updated_at":"2026-07-04T14:23:09.369355+00:00"}