{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:4Q3XMSSOPJBGSTQUDMAUZJNQAV","short_pith_number":"pith:4Q3XMSSO","canonical_record":{"source":{"id":"1108.4341","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-08-22T15:11:50Z","cross_cats_sorted":["physics.bio-ph","q-bio.MN","q-bio.PE"],"title_canon_sha256":"e6af72885ebfec66e661506f05516f162d5e2989c622c24b00b4ceedfbd08ea2","abstract_canon_sha256":"4a80adcb81d01618df9acdd0225e0e9a89de19622d8340a537bb8d630c181cee"},"schema_version":"1.0"},"canonical_sha256":"e437764a4e7a42694e141b014ca5b0054807b91a7fd6fdf94309217503f20c4e","source":{"kind":"arxiv","id":"1108.4341","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4341","created_at":"2026-05-18T03:58:14Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4341v4","created_at":"2026-05-18T03:58:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4341","created_at":"2026-05-18T03:58:14Z"},{"alias_kind":"pith_short_12","alias_value":"4Q3XMSSOPJBG","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4Q3XMSSOPJBGSTQU","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4Q3XMSSO","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:4Q3XMSSOPJBGSTQUDMAUZJNQAV","target":"record","payload":{"canonical_record":{"source":{"id":"1108.4341","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-08-22T15:11:50Z","cross_cats_sorted":["physics.bio-ph","q-bio.MN","q-bio.PE"],"title_canon_sha256":"e6af72885ebfec66e661506f05516f162d5e2989c622c24b00b4ceedfbd08ea2","abstract_canon_sha256":"4a80adcb81d01618df9acdd0225e0e9a89de19622d8340a537bb8d630c181cee"},"schema_version":"1.0"},"canonical_sha256":"e437764a4e7a42694e141b014ca5b0054807b91a7fd6fdf94309217503f20c4e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:14.068464Z","signature_b64":"jdcq88AmIs4rJZNXL60DrCY1mKVAK9wkkCfBKLXf4l2mkfsysZn6lXCwFItVtngFhTH02FZ7qGbGXMwyIdnCAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e437764a4e7a42694e141b014ca5b0054807b91a7fd6fdf94309217503f20c4e","last_reissued_at":"2026-05-18T03:58:14.067829Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:14.067829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.4341","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:58:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nL71ih8OI4PfIu2LABLX9c9Ook4bq5rhIyYKTmG3tnv5e46rSkPJpQkLE03nSTKONEpodhKebSwzydSNoSjqDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:38:32.718914Z"},"content_sha256":"8be6ad0785596847ad18facbbdbe4e15496eb463af723b6ca68da321858e9b1f","schema_version":"1.0","event_id":"sha256:8be6ad0785596847ad18facbbdbe4e15496eb463af723b6ca68da321858e9b1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:4Q3XMSSOPJBGSTQUDMAUZJNQAV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Emergence of robustness against noise: A structural phase transition in evolved models of gene regulatory networks","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["physics.bio-ph","q-bio.MN","q-bio.PE"],"primary_cat":"cond-mat.dis-nn","authors_text":"Tiago P. Peixoto","submitted_at":"2011-08-22T15:11:50Z","abstract_excerpt":"We investigate the evolution of Boolean networks subject to a selective pressure which favors robustness against noise, as a model of evolved genetic regulatory systems. By mapping the evolutionary process into a statistical ensemble and minimizing its associated free energy, we find the structural properties which emerge as the selective pressure is increased and identify a phase transition from a random topology to a \"segregated core\" structure, where a smaller and more densely connected subset of the nodes is responsible for most of the regulation in the network. This segregated structure i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4341","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:58:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ApA0FjriWVHCOjusyl7HpJ2Atd6B3e63jP4rpYfIB98O6V9almrc5b6estmsPmly+iy0spdflE9+4oSQYvYgBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:38:32.719570Z"},"content_sha256":"d3bc877c7e5ee7d4e6ab1082ba4c6196ecbae7cff8021d405de30ebbb8e25dbd","schema_version":"1.0","event_id":"sha256:d3bc877c7e5ee7d4e6ab1082ba4c6196ecbae7cff8021d405de30ebbb8e25dbd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4Q3XMSSOPJBGSTQUDMAUZJNQAV/bundle.json","state_url":"https://pith.science/pith/4Q3XMSSOPJBGSTQUDMAUZJNQAV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4Q3XMSSOPJBGSTQUDMAUZJNQAV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T19:38:32Z","links":{"resolver":"https://pith.science/pith/4Q3XMSSOPJBGSTQUDMAUZJNQAV","bundle":"https://pith.science/pith/4Q3XMSSOPJBGSTQUDMAUZJNQAV/bundle.json","state":"https://pith.science/pith/4Q3XMSSOPJBGSTQUDMAUZJNQAV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4Q3XMSSOPJBGSTQUDMAUZJNQAV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4Q3XMSSOPJBGSTQUDMAUZJNQAV","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":"4a80adcb81d01618df9acdd0225e0e9a89de19622d8340a537bb8d630c181cee","cross_cats_sorted":["physics.bio-ph","q-bio.MN","q-bio.PE"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-08-22T15:11:50Z","title_canon_sha256":"e6af72885ebfec66e661506f05516f162d5e2989c622c24b00b4ceedfbd08ea2"},"schema_version":"1.0","source":{"id":"1108.4341","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4341","created_at":"2026-05-18T03:58:14Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4341v4","created_at":"2026-05-18T03:58:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4341","created_at":"2026-05-18T03:58:14Z"},{"alias_kind":"pith_short_12","alias_value":"4Q3XMSSOPJBG","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4Q3XMSSOPJBGSTQU","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4Q3XMSSO","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:d3bc877c7e5ee7d4e6ab1082ba4c6196ecbae7cff8021d405de30ebbb8e25dbd","target":"graph","created_at":"2026-05-18T03:58:14Z","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 investigate the evolution of Boolean networks subject to a selective pressure which favors robustness against noise, as a model of evolved genetic regulatory systems. By mapping the evolutionary process into a statistical ensemble and minimizing its associated free energy, we find the structural properties which emerge as the selective pressure is increased and identify a phase transition from a random topology to a \"segregated core\" structure, where a smaller and more densely connected subset of the nodes is responsible for most of the regulation in the network. This segregated structure i","authors_text":"Tiago P. Peixoto","cross_cats":["physics.bio-ph","q-bio.MN","q-bio.PE"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-08-22T15:11:50Z","title":"Emergence of robustness against noise: A structural phase transition in evolved models of gene regulatory networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4341","kind":"arxiv","version":4},"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":"sha256:8be6ad0785596847ad18facbbdbe4e15496eb463af723b6ca68da321858e9b1f","target":"record","created_at":"2026-05-18T03:58:14Z","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":"4a80adcb81d01618df9acdd0225e0e9a89de19622d8340a537bb8d630c181cee","cross_cats_sorted":["physics.bio-ph","q-bio.MN","q-bio.PE"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-08-22T15:11:50Z","title_canon_sha256":"e6af72885ebfec66e661506f05516f162d5e2989c622c24b00b4ceedfbd08ea2"},"schema_version":"1.0","source":{"id":"1108.4341","kind":"arxiv","version":4}},"canonical_sha256":"e437764a4e7a42694e141b014ca5b0054807b91a7fd6fdf94309217503f20c4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e437764a4e7a42694e141b014ca5b0054807b91a7fd6fdf94309217503f20c4e","first_computed_at":"2026-05-18T03:58:14.067829Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:14.067829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jdcq88AmIs4rJZNXL60DrCY1mKVAK9wkkCfBKLXf4l2mkfsysZn6lXCwFItVtngFhTH02FZ7qGbGXMwyIdnCAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:14.068464Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4341","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8be6ad0785596847ad18facbbdbe4e15496eb463af723b6ca68da321858e9b1f","sha256:d3bc877c7e5ee7d4e6ab1082ba4c6196ecbae7cff8021d405de30ebbb8e25dbd"],"state_sha256":"c65778292ccb8491917e7eb3511939c32ccdcfe2866862cc502c3173011d2e42"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZTlrOU4WfcDIMwQkIB9rGOSB3apOez964MCN1qTDo2jklTrwsuLJCG25C73VVnoFVZz3SE8/tqwgi3SfHDaLBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:38:32.722742Z","bundle_sha256":"ec8b9fbb1ce86ef37d55a529d86b5d253d06df9e7a649ead15e98cb38788f05c"}}