{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:VBU5PDLFQFX52G7JEVXNF5AAT5","short_pith_number":"pith:VBU5PDLF","schema_version":"1.0","canonical_sha256":"a869d78d65816fdd1be9256ed2f4009f477927e1ece49f570a7ba3749cf19dbd","source":{"kind":"arxiv","id":"1202.5243","version":1},"attestation_state":"computed","paper":{"title":"Trajectory entanglement in dense granular materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Fr\\'ed\\'eric Lechenault, James G. Puckett, Jean-Luc Thiffeault, Karen E. Daniels","submitted_at":"2012-02-23T17:44:06Z","abstract_excerpt":"The particle-scale dynamics of granular materials have commonly been characterized by the self-diffusion coefficient $D$. However, this measure discards the collective and topological information known to be an important characteristic of particle trajectories in dense systems. Direct measurement of the entanglement of particle space-time trajectories can be obtained via the topological braid entropy $\\Sbraid$, which has previously been used to quantify mixing efficiency in fluid systems. Here, we investigate the utility of $\\Sbraid$ in characterizing the dynamics of a dense, driven granular m"},"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":"1202.5243","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-02-23T17:44:06Z","cross_cats_sorted":[],"title_canon_sha256":"86fa1fd8944e6fa468eec2b44872d9237c6c85c6a8fee09f0efdd46843ed0bcc","abstract_canon_sha256":"bb670e5ec780dfab8a59ee60cefd7af643af13ee8524569308fe554357233e95"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:52.712101Z","signature_b64":"5bmtfUpWYwNdRKAit7ZwdJFqnMvjbHgJh9r2yeiCSgom9d2GdiFlz38+PDiKlau+Gm0KRGXDnp6v0jx2bZBFBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a869d78d65816fdd1be9256ed2f4009f477927e1ece49f570a7ba3749cf19dbd","last_reissued_at":"2026-05-18T03:24:52.711383Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:52.711383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Trajectory entanglement in dense granular materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Fr\\'ed\\'eric Lechenault, James G. Puckett, Jean-Luc Thiffeault, Karen E. Daniels","submitted_at":"2012-02-23T17:44:06Z","abstract_excerpt":"The particle-scale dynamics of granular materials have commonly been characterized by the self-diffusion coefficient $D$. However, this measure discards the collective and topological information known to be an important characteristic of particle trajectories in dense systems. Direct measurement of the entanglement of particle space-time trajectories can be obtained via the topological braid entropy $\\Sbraid$, which has previously been used to quantify mixing efficiency in fluid systems. Here, we investigate the utility of $\\Sbraid$ in characterizing the dynamics of a dense, driven granular m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5243","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":"1202.5243","created_at":"2026-05-18T03:24:52.711497+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.5243v1","created_at":"2026-05-18T03:24:52.711497+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5243","created_at":"2026-05-18T03:24:52.711497+00:00"},{"alias_kind":"pith_short_12","alias_value":"VBU5PDLFQFX5","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"VBU5PDLFQFX52G7J","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"VBU5PDLF","created_at":"2026-05-18T12:27:25.539911+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/VBU5PDLFQFX52G7JEVXNF5AAT5","json":"https://pith.science/pith/VBU5PDLFQFX52G7JEVXNF5AAT5.json","graph_json":"https://pith.science/api/pith-number/VBU5PDLFQFX52G7JEVXNF5AAT5/graph.json","events_json":"https://pith.science/api/pith-number/VBU5PDLFQFX52G7JEVXNF5AAT5/events.json","paper":"https://pith.science/paper/VBU5PDLF"},"agent_actions":{"view_html":"https://pith.science/pith/VBU5PDLFQFX52G7JEVXNF5AAT5","download_json":"https://pith.science/pith/VBU5PDLFQFX52G7JEVXNF5AAT5.json","view_paper":"https://pith.science/paper/VBU5PDLF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.5243&json=true","fetch_graph":"https://pith.science/api/pith-number/VBU5PDLFQFX52G7JEVXNF5AAT5/graph.json","fetch_events":"https://pith.science/api/pith-number/VBU5PDLFQFX52G7JEVXNF5AAT5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VBU5PDLFQFX52G7JEVXNF5AAT5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VBU5PDLFQFX52G7JEVXNF5AAT5/action/storage_attestation","attest_author":"https://pith.science/pith/VBU5PDLFQFX52G7JEVXNF5AAT5/action/author_attestation","sign_citation":"https://pith.science/pith/VBU5PDLFQFX52G7JEVXNF5AAT5/action/citation_signature","submit_replication":"https://pith.science/pith/VBU5PDLFQFX52G7JEVXNF5AAT5/action/replication_record"}},"created_at":"2026-05-18T03:24:52.711497+00:00","updated_at":"2026-05-18T03:24:52.711497+00:00"}