{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:C7PXLUQRBNUKZC7PKHSBK3QHLR","short_pith_number":"pith:C7PXLUQR","schema_version":"1.0","canonical_sha256":"17df75d2110b68ac8bef51e4156e075c6109e4ac6844d1d00d6db63b39a377bb","source":{"kind":"arxiv","id":"1804.07804","version":1},"attestation_state":"computed","paper":{"title":"The jamming transition is a k-core percolation transition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Flaviano Morone, H. A. Vinutha, Hernan A. Makse, Kate Burleson-Lesser, Srikanth Sastry","submitted_at":"2018-04-20T19:15:04Z","abstract_excerpt":"We explain the structural origin of the jamming transition in jammed matter as the sudden appearance of k-cores at precise coordination numbers which are related not to the isostatic point, but to the sudden emergence of the 3- and 4-cores as given by k-core percolation theory. At the transition, the k-core variables freeze and the k-core dominates the appearance of rigidity. Surprisingly, the 3-D simulation results can be explained with the result of mean-field k-core percolation in the Erdos-Renyi network. That is, the finite-dimensional transition seems to be explained by the infinite-dimen"},"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":"1804.07804","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2018-04-20T19:15:04Z","cross_cats_sorted":[],"title_canon_sha256":"dcd09cdf38fa7e6a75a6cc6e81fbb2f6569958aa96360e11662b02665043a9ad","abstract_canon_sha256":"9c989f566d05470bf00f3de641cfd88e43ce4e45f02acffd68c832c985b71752"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:56.348050Z","signature_b64":"ECXvlxTEaWVX0VJ0MBs8ne1tLlqTLoGerwGrnKzNcsW/UZxSuznY7CKGD8+6vh1GydAr8eCLCx3vC90nM1v8BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17df75d2110b68ac8bef51e4156e075c6109e4ac6844d1d00d6db63b39a377bb","last_reissued_at":"2026-05-18T00:00:56.347459Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:56.347459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The jamming transition is a k-core percolation transition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Flaviano Morone, H. A. Vinutha, Hernan A. Makse, Kate Burleson-Lesser, Srikanth Sastry","submitted_at":"2018-04-20T19:15:04Z","abstract_excerpt":"We explain the structural origin of the jamming transition in jammed matter as the sudden appearance of k-cores at precise coordination numbers which are related not to the isostatic point, but to the sudden emergence of the 3- and 4-cores as given by k-core percolation theory. At the transition, the k-core variables freeze and the k-core dominates the appearance of rigidity. Surprisingly, the 3-D simulation results can be explained with the result of mean-field k-core percolation in the Erdos-Renyi network. That is, the finite-dimensional transition seems to be explained by the infinite-dimen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.07804","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":"1804.07804","created_at":"2026-05-18T00:00:56.347545+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.07804v1","created_at":"2026-05-18T00:00:56.347545+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.07804","created_at":"2026-05-18T00:00:56.347545+00:00"},{"alias_kind":"pith_short_12","alias_value":"C7PXLUQRBNUK","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_16","alias_value":"C7PXLUQRBNUKZC7P","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_8","alias_value":"C7PXLUQR","created_at":"2026-05-18T12:32:16.446611+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/C7PXLUQRBNUKZC7PKHSBK3QHLR","json":"https://pith.science/pith/C7PXLUQRBNUKZC7PKHSBK3QHLR.json","graph_json":"https://pith.science/api/pith-number/C7PXLUQRBNUKZC7PKHSBK3QHLR/graph.json","events_json":"https://pith.science/api/pith-number/C7PXLUQRBNUKZC7PKHSBK3QHLR/events.json","paper":"https://pith.science/paper/C7PXLUQR"},"agent_actions":{"view_html":"https://pith.science/pith/C7PXLUQRBNUKZC7PKHSBK3QHLR","download_json":"https://pith.science/pith/C7PXLUQRBNUKZC7PKHSBK3QHLR.json","view_paper":"https://pith.science/paper/C7PXLUQR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.07804&json=true","fetch_graph":"https://pith.science/api/pith-number/C7PXLUQRBNUKZC7PKHSBK3QHLR/graph.json","fetch_events":"https://pith.science/api/pith-number/C7PXLUQRBNUKZC7PKHSBK3QHLR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C7PXLUQRBNUKZC7PKHSBK3QHLR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C7PXLUQRBNUKZC7PKHSBK3QHLR/action/storage_attestation","attest_author":"https://pith.science/pith/C7PXLUQRBNUKZC7PKHSBK3QHLR/action/author_attestation","sign_citation":"https://pith.science/pith/C7PXLUQRBNUKZC7PKHSBK3QHLR/action/citation_signature","submit_replication":"https://pith.science/pith/C7PXLUQRBNUKZC7PKHSBK3QHLR/action/replication_record"}},"created_at":"2026-05-18T00:00:56.347545+00:00","updated_at":"2026-05-18T00:00:56.347545+00:00"}