{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5BSRJJXVC6N57TKE7RWZO5YIEG","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":"7643e767de8ed4c5f142a0cfb370e55f0d1ec8a04c69b707fd6857af716c4360","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","q-bio.SC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-07-14T13:38:37Z","title_canon_sha256":"745a97d97a626bf5680cd5c35801017b7dffdb977db75ce9a5c79aa4477be583"},"schema_version":"1.0","source":{"id":"2607.12766","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.12766","created_at":"2026-07-15T01:22:16Z"},{"alias_kind":"arxiv_version","alias_value":"2607.12766v1","created_at":"2026-07-15T01:22:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.12766","created_at":"2026-07-15T01:22:16Z"},{"alias_kind":"pith_short_12","alias_value":"5BSRJJXVC6N5","created_at":"2026-07-15T01:22:16Z"},{"alias_kind":"pith_short_16","alias_value":"5BSRJJXVC6N57TKE","created_at":"2026-07-15T01:22:16Z"},{"alias_kind":"pith_short_8","alias_value":"5BSRJJXV","created_at":"2026-07-15T01:22:16Z"}],"graph_snapshots":[{"event_id":"sha256:e63f2e5fbc54c1896d9383562c5c491feb4ac185d55d2a23a22762aea4bacab6","target":"graph","created_at":"2026-07-15T01:22:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.12766/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A fundamental question in receptor-mediated endocytosis remains unanswered: what initial driving force brings ligands and receptors into close proximity? While previous models assume pre-existing contact and overlook this initiation problem, we propose that entropic forces from nanoscale biomolecules in crowded cellular environments provide the essential driving mechanism. We develop a unified continuum model rooted in the Onsager variational principle, where engulfment depth serves as the generalized coordinate and the driving force derives from a free energy landscape of entropic, binding, m","authors_text":"Hao Wu, Jinjie Liu, Zhong-Can Ou-Yang","cross_cats":["cond-mat.stat-mech","physics.bio-ph","q-bio.SC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-07-14T13:38:37Z","title":"Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.12766","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:f1f84f7a3a1a4214066e87f7332134ade6643a81b2fb8961fb27e6e694f86573","target":"record","created_at":"2026-07-15T01:22:16Z","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":"7643e767de8ed4c5f142a0cfb370e55f0d1ec8a04c69b707fd6857af716c4360","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","q-bio.SC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-07-14T13:38:37Z","title_canon_sha256":"745a97d97a626bf5680cd5c35801017b7dffdb977db75ce9a5c79aa4477be583"},"schema_version":"1.0","source":{"id":"2607.12766","kind":"arxiv","version":1}},"canonical_sha256":"e86514a6f5179bdfcd44fc6d977708219496232d1a6f5680d7c171ce29667e90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e86514a6f5179bdfcd44fc6d977708219496232d1a6f5680d7c171ce29667e90","first_computed_at":"2026-07-15T01:22:16.745088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-15T01:22:16.745088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/WpZHumuy69FwL6ShUaBl0bUxCm+uAiGixrMgi8E4xCORjs5Fo7rx5Hl9x7j4DtyjXVj8ZZEX5KvkxXJRjZWAA==","signature_status":"signed_v1","signed_at":"2026-07-15T01:22:16.745947Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.12766","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1f84f7a3a1a4214066e87f7332134ade6643a81b2fb8961fb27e6e694f86573","sha256:e63f2e5fbc54c1896d9383562c5c491feb4ac185d55d2a23a22762aea4bacab6"],"state_sha256":"1f405e1f210b815fcfc9c0caa1390cc5cc2e747b39c5d55216aa76edee2e9ae1"}