{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:AHN552XR4HRULRUSQN6LL3GYDE","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":"1f7709d4040d5c5297ed9ef55e7fec32f1c1908e35772b8d6832505fa898e7ec","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.bio-ph","submitted_at":"2025-08-08T17:10:59Z","title_canon_sha256":"dd5148877a21f11639593af3116e3edd8e843d55ab8084c40926f1b4f3389d15"},"schema_version":"1.0","source":{"id":"2508.06599","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.06599","created_at":"2026-06-19T16:12:47Z"},{"alias_kind":"arxiv_version","alias_value":"2508.06599v5","created_at":"2026-06-19T16:12:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.06599","created_at":"2026-06-19T16:12:47Z"},{"alias_kind":"pith_short_12","alias_value":"AHN552XR4HRU","created_at":"2026-06-19T16:12:47Z"},{"alias_kind":"pith_short_16","alias_value":"AHN552XR4HRULRUS","created_at":"2026-06-19T16:12:47Z"},{"alias_kind":"pith_short_8","alias_value":"AHN552XR","created_at":"2026-06-19T16:12:47Z"}],"graph_snapshots":[{"event_id":"sha256:016659c4a4dc5457a96b2880125ab55b351440d4eb094a06126af9dc6dab6bbf","target":"graph","created_at":"2026-06-19T16:12:47Z","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/2508.06599/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper considers systems in which two or more ligands bind independently to a common scaffold. Such systems arise in a range of applications, including immunotherapy and synthetic biology. We show that each stoichiometric compatibility class contains a unique steady state, and that this steady state is asymptotically stable. The main result gives a rigorous proof that the steady-state concentration of the fully bound complex, viewed as a function of the total scaffold concentration, has a unique maximum. This biphasic dose response is a characteristic feature of scaffolding systems and, in","authors_text":"Eduardo D. Sontag","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.bio-ph","submitted_at":"2025-08-08T17:10:59Z","title":"Dynamics and dose response in scaffold ligand binding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.06599","kind":"arxiv","version":5},"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":"sha256:90973442d955b626608873b6bedf3cea32328036293c3ccb9bd939f1ca18c8cf","target":"record","created_at":"2026-06-19T16:12:47Z","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":"1f7709d4040d5c5297ed9ef55e7fec32f1c1908e35772b8d6832505fa898e7ec","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.bio-ph","submitted_at":"2025-08-08T17:10:59Z","title_canon_sha256":"dd5148877a21f11639593af3116e3edd8e843d55ab8084c40926f1b4f3389d15"},"schema_version":"1.0","source":{"id":"2508.06599","kind":"arxiv","version":5}},"canonical_sha256":"01dbdeeaf1e1e345c692837cb5ecd81915fd0c08810c4657d9855367e3934fa0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01dbdeeaf1e1e345c692837cb5ecd81915fd0c08810c4657d9855367e3934fa0","first_computed_at":"2026-06-19T16:12:47.185003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:47.185003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UrT3LkgYkeZ63KxvtaBlJiUfMAtZiWe9zkWdqWEeBOS+e4F9NdG12L6ocuidsWaInsWCeE1ZSq7aCxufCAJpCg==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:47.185502Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.06599","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90973442d955b626608873b6bedf3cea32328036293c3ccb9bd939f1ca18c8cf","sha256:016659c4a4dc5457a96b2880125ab55b351440d4eb094a06126af9dc6dab6bbf"],"state_sha256":"267104cebd9493ddbdf0f13f9771cd97acdf5e096b166a40a0f395812175ae15"}