{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:AHN552XR4HRULRUSQN6LL3GYDE","short_pith_number":"pith:AHN552XR","schema_version":"1.0","canonical_sha256":"01dbdeeaf1e1e345c692837cb5ecd81915fd0c08810c4657d9855367e3934fa0","source":{"kind":"arxiv","id":"2508.06599","version":5},"attestation_state":"computed","paper":{"title":"Dynamics and dose response in scaffold ligand binding","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.bio-ph","authors_text":"Eduardo D. Sontag","submitted_at":"2025-08-08T17:10:59Z","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"},"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":"2508.06599","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.bio-ph","submitted_at":"2025-08-08T17:10:59Z","cross_cats_sorted":[],"title_canon_sha256":"dd5148877a21f11639593af3116e3edd8e843d55ab8084c40926f1b4f3389d15","abstract_canon_sha256":"1f7709d4040d5c5297ed9ef55e7fec32f1c1908e35772b8d6832505fa898e7ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:47.185502Z","signature_b64":"UrT3LkgYkeZ63KxvtaBlJiUfMAtZiWe9zkWdqWEeBOS+e4F9NdG12L6ocuidsWaInsWCeE1ZSq7aCxufCAJpCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01dbdeeaf1e1e345c692837cb5ecd81915fd0c08810c4657d9855367e3934fa0","last_reissued_at":"2026-06-19T16:12:47.185003Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:47.185003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamics and dose response in scaffold ligand binding","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.bio-ph","authors_text":"Eduardo D. Sontag","submitted_at":"2025-08-08T17:10:59Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.06599","kind":"arxiv","version":5},"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/2508.06599/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":"2508.06599","created_at":"2026-06-19T16:12:47.185061+00:00"},{"alias_kind":"arxiv_version","alias_value":"2508.06599v5","created_at":"2026-06-19T16:12:47.185061+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.06599","created_at":"2026-06-19T16:12:47.185061+00:00"},{"alias_kind":"pith_short_12","alias_value":"AHN552XR4HRU","created_at":"2026-06-19T16:12:47.185061+00:00"},{"alias_kind":"pith_short_16","alias_value":"AHN552XR4HRULRUS","created_at":"2026-06-19T16:12:47.185061+00:00"},{"alias_kind":"pith_short_8","alias_value":"AHN552XR","created_at":"2026-06-19T16:12:47.185061+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/AHN552XR4HRULRUSQN6LL3GYDE","json":"https://pith.science/pith/AHN552XR4HRULRUSQN6LL3GYDE.json","graph_json":"https://pith.science/api/pith-number/AHN552XR4HRULRUSQN6LL3GYDE/graph.json","events_json":"https://pith.science/api/pith-number/AHN552XR4HRULRUSQN6LL3GYDE/events.json","paper":"https://pith.science/paper/AHN552XR"},"agent_actions":{"view_html":"https://pith.science/pith/AHN552XR4HRULRUSQN6LL3GYDE","download_json":"https://pith.science/pith/AHN552XR4HRULRUSQN6LL3GYDE.json","view_paper":"https://pith.science/paper/AHN552XR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2508.06599&json=true","fetch_graph":"https://pith.science/api/pith-number/AHN552XR4HRULRUSQN6LL3GYDE/graph.json","fetch_events":"https://pith.science/api/pith-number/AHN552XR4HRULRUSQN6LL3GYDE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AHN552XR4HRULRUSQN6LL3GYDE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AHN552XR4HRULRUSQN6LL3GYDE/action/storage_attestation","attest_author":"https://pith.science/pith/AHN552XR4HRULRUSQN6LL3GYDE/action/author_attestation","sign_citation":"https://pith.science/pith/AHN552XR4HRULRUSQN6LL3GYDE/action/citation_signature","submit_replication":"https://pith.science/pith/AHN552XR4HRULRUSQN6LL3GYDE/action/replication_record"}},"created_at":"2026-06-19T16:12:47.185061+00:00","updated_at":"2026-06-19T16:12:47.185061+00:00"}