{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MP5DTXSLMAEM5BBXMR6IQ77NT7","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":"cb28576b50dad3a1882ea9da837a7f6765ebda37938fd81820619a9083733832","cross_cats_sorted":["q-bio.CB"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2018-07-25T08:39:44Z","title_canon_sha256":"d23bc25541259303e9cf7cbcf7ed703ef83f8a040532cdd5ac75ad539a3da8e7"},"schema_version":"1.0","source":{"id":"1807.09481","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.09481","created_at":"2026-07-05T02:04:25Z"},{"alias_kind":"arxiv_version","alias_value":"1807.09481v1","created_at":"2026-07-05T02:04:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.09481","created_at":"2026-07-05T02:04:25Z"},{"alias_kind":"pith_short_12","alias_value":"MP5DTXSLMAEM","created_at":"2026-07-05T02:04:25Z"},{"alias_kind":"pith_short_16","alias_value":"MP5DTXSLMAEM5BBX","created_at":"2026-07-05T02:04:25Z"},{"alias_kind":"pith_short_8","alias_value":"MP5DTXSL","created_at":"2026-07-05T02:04:25Z"}],"graph_snapshots":[{"event_id":"sha256:6f0b3e2cda945910200342c671898d5152790a6501404001e324a649d2d9dc5b","target":"graph","created_at":"2026-07-05T02:04:25Z","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/1807.09481/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An essential feature of the adaptive immune system is the proliferation of antigen-specific lymphocytes during an immune reaction to form a large pool of effector cells. This proliferation must be regulated to ensure an effective response to infection while avoiding immunopathology. Recent experiments in mice have demonstrated that the expansion of a specific clone of T cells in response to cognate antigen obeys a striking inverse power law with respect to the initial number of T cells. Here, we show that such a relationship arises naturally from a model in which T cell expansion is limited by","authors_text":"Alan S. Perelson, Andreas Mayer, Ned S. Wingreen, Yaojun Zhang","cross_cats":["q-bio.CB"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2018-07-25T08:39:44Z","title":"Regulation of T cell expansion by antigen presentation dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09481","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:ca3f661db883c701557549120d88cf58dd4b346af6b7df3425fd2de778dfc0a8","target":"record","created_at":"2026-07-05T02:04:25Z","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":"cb28576b50dad3a1882ea9da837a7f6765ebda37938fd81820619a9083733832","cross_cats_sorted":["q-bio.CB"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2018-07-25T08:39:44Z","title_canon_sha256":"d23bc25541259303e9cf7cbcf7ed703ef83f8a040532cdd5ac75ad539a3da8e7"},"schema_version":"1.0","source":{"id":"1807.09481","kind":"arxiv","version":1}},"canonical_sha256":"63fa39de4b6008ce8437647c887fed9ff7f94fe9efb603add9a1743ba2f82455","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63fa39de4b6008ce8437647c887fed9ff7f94fe9efb603add9a1743ba2f82455","first_computed_at":"2026-07-05T02:04:25.664272Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:04:25.664272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NsjnfUET3ChMsa3YVUiJXN9QzwKoOjn5y8BaJ+GLNEUy/vHtEhl5lJGch0ah/tsbGNLqyuWrxPVJxyGnkQ5eCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:04:25.664641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.09481","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca3f661db883c701557549120d88cf58dd4b346af6b7df3425fd2de778dfc0a8","sha256:6f0b3e2cda945910200342c671898d5152790a6501404001e324a649d2d9dc5b"],"state_sha256":"ee99ef56c2e0aa2a57e3fb88da43306a458e2120ea778c62df1919a4dfe0e43c"}