{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:R324PFTBNPP4XVHPPSDUTUTRAO","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":"408a7ffd98eb2c4aa0190f77a8b4cf425475dadae8c306e17ac8abc67d3fe6ee","cross_cats_sorted":["q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-12-09T10:31:57Z","title_canon_sha256":"2f74f7d3cb833c001924dd16cacdb47d80982170ca91c0bf89528079ea3f6d6d"},"schema_version":"1.0","source":{"id":"1112.2066","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2066","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2066v2","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2066","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"pith_short_12","alias_value":"R324PFTBNPP4","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"R324PFTBNPP4XVHP","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"R324PFTB","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:c2cae9a5342829ed3c2b450a50b19e06910607a58609fe188053a357adceccab","target":"graph","created_at":"2026-05-18T02:21:27Z","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"},"paper":{"abstract_excerpt":"We introduce a class of weighted graphs whose properties are meant to mimic the topological features of idiotypic networks, namely the interaction networks involving the B-core of the immune system. Each node is endowed with a bit-string representing the idiotypic specificity of the corresponding B cell and a proper distance between any couple of bit-strings provides the coupling strength between the two nodes. We show that a biased distribution of the entries in bit-strings can yield fringes in the (weighted) degree distribution, small-worlds features, and scaling laws, in agreement with expe","authors_text":"Adriano Barra, Elena Agliari, Lorenzo Asti, Luca Ferrucci","cross_cats":["q-bio.MN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-12-09T10:31:57Z","title":"Organization and evolution of synthetic idiotypic networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2066","kind":"arxiv","version":2},"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":"sha256:4fc22c96c3dbcdffa3112a196d7f6f2215623267f4a332b9a76a65f5a86dfa94","target":"record","created_at":"2026-05-18T02:21:27Z","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":"408a7ffd98eb2c4aa0190f77a8b4cf425475dadae8c306e17ac8abc67d3fe6ee","cross_cats_sorted":["q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-12-09T10:31:57Z","title_canon_sha256":"2f74f7d3cb833c001924dd16cacdb47d80982170ca91c0bf89528079ea3f6d6d"},"schema_version":"1.0","source":{"id":"1112.2066","kind":"arxiv","version":2}},"canonical_sha256":"8ef5c796616bdfcbd4ef7c8749d27103a5c1889042c4cb257d37e4082751f586","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ef5c796616bdfcbd4ef7c8749d27103a5c1889042c4cb257d37e4082751f586","first_computed_at":"2026-05-18T02:21:27.333917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:27.333917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pJGKfnrAdgcJ/l3sy3jEZyomDzdfMrs7wfKEPFqkOVfjqShyTCDCMB8ZkAvrd9PWrH4nJjnmaROzTLhpXzAvCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:27.334671Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.2066","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fc22c96c3dbcdffa3112a196d7f6f2215623267f4a332b9a76a65f5a86dfa94","sha256:c2cae9a5342829ed3c2b450a50b19e06910607a58609fe188053a357adceccab"],"state_sha256":"b367bacf59b59d5660f9d6cab4083d69ca27f166457c38095fd4a8bc8c711edb"}