{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ZF2MBRKQYP4TLEZM4FQ3BO7CDZ","short_pith_number":"pith:ZF2MBRKQ","canonical_record":{"source":{"id":"1708.06579","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-08-22T12:22:58Z","cross_cats_sorted":["q-bio.MN"],"title_canon_sha256":"5f5766fa05913724ba596eaeb5c771dc6b7760ff5cb19eb10f2f2be6b8c1df97","abstract_canon_sha256":"32de1ac890f9d06b204cf258e26c851bbc8edaa170e7966ed4503d87e363365f"},"schema_version":"1.0"},"canonical_sha256":"c974c0c550c3f935932ce161b0bbe21e4aac8414bae1737d75fe0c9aa2f449bc","source":{"kind":"arxiv","id":"1708.06579","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.06579","created_at":"2026-05-18T00:37:33Z"},{"alias_kind":"arxiv_version","alias_value":"1708.06579v1","created_at":"2026-05-18T00:37:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.06579","created_at":"2026-05-18T00:37:33Z"},{"alias_kind":"pith_short_12","alias_value":"ZF2MBRKQYP4T","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZF2MBRKQYP4TLEZM","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZF2MBRKQ","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ZF2MBRKQYP4TLEZM4FQ3BO7CDZ","target":"record","payload":{"canonical_record":{"source":{"id":"1708.06579","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-08-22T12:22:58Z","cross_cats_sorted":["q-bio.MN"],"title_canon_sha256":"5f5766fa05913724ba596eaeb5c771dc6b7760ff5cb19eb10f2f2be6b8c1df97","abstract_canon_sha256":"32de1ac890f9d06b204cf258e26c851bbc8edaa170e7966ed4503d87e363365f"},"schema_version":"1.0"},"canonical_sha256":"c974c0c550c3f935932ce161b0bbe21e4aac8414bae1737d75fe0c9aa2f449bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:33.110434Z","signature_b64":"/w5lehxipAW4AHxtUYDgv0Xq6nYY5c4+W6DVubxujbNEw9dMWc7T4WFYnq1cEDEDR556VOuSDVdzNBPhexSUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c974c0c550c3f935932ce161b0bbe21e4aac8414bae1737d75fe0c9aa2f449bc","last_reissued_at":"2026-05-18T00:37:33.110049Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:33.110049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.06579","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:37:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NKpHbwGh8RK5UCc+hv4imWRrWY6qRD6XiQXQ5pGNBVGJxp0AKIMgkLv85iMPmMb1Dn1Re09bchpRKCPrlYlnAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:59:42.021464Z"},"content_sha256":"68d022206af4fc3219fdf2183f794c481128fbe3d6d179fde45bbea467ddb91d","schema_version":"1.0","event_id":"sha256:68d022206af4fc3219fdf2183f794c481128fbe3d6d179fde45bbea467ddb91d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ZF2MBRKQYP4TLEZM4FQ3BO7CDZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effect of cell heterogeneity on isogenic populations with the synthetic genetic toggle switch network: bifurcation analysis of two-dimensional Cell Population Balance Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.MN"],"primary_cat":"q-bio.PE","authors_text":"Andreas G. Boudouvis, Michail E. Kavousanakis, Panagiotis Chrysinas","submitted_at":"2017-08-22T12:22:58Z","abstract_excerpt":"The dynamics of gene regulatory networks are often modeled with the assumption of cellular homogeneity. However, this assumption contradicts the plethora of experimental results in a variety of systems, which designates that cell populations are heterogeneous systems in the sense that properties such as size, shape, and DNA/RNA content are unevenly distributed amongst their individuals. In order to address the implications of heterogeneity, we utilize the so-called cell population balance (CPB) models. Here, we solve numerically multivariable CPB models to study the effect of heterogeneity on "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06579","kind":"arxiv","version":1},"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":"2026-05-18T00:37:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CR8Mp7wRauJpHCxTEdTc6CUPpaaBXtqa/GokRYWDyY38r57XeSe3TN+hUUrMjCSFSAlpli24UX0EqwyB21UVCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:59:42.021817Z"},"content_sha256":"207966834b5f2b400a9e22387226b51ae845915a8795a39555be3453f375e7b5","schema_version":"1.0","event_id":"sha256:207966834b5f2b400a9e22387226b51ae845915a8795a39555be3453f375e7b5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZF2MBRKQYP4TLEZM4FQ3BO7CDZ/bundle.json","state_url":"https://pith.science/pith/ZF2MBRKQYP4TLEZM4FQ3BO7CDZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZF2MBRKQYP4TLEZM4FQ3BO7CDZ/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":"2026-06-04T04:59:42Z","links":{"resolver":"https://pith.science/pith/ZF2MBRKQYP4TLEZM4FQ3BO7CDZ","bundle":"https://pith.science/pith/ZF2MBRKQYP4TLEZM4FQ3BO7CDZ/bundle.json","state":"https://pith.science/pith/ZF2MBRKQYP4TLEZM4FQ3BO7CDZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZF2MBRKQYP4TLEZM4FQ3BO7CDZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZF2MBRKQYP4TLEZM4FQ3BO7CDZ","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":"32de1ac890f9d06b204cf258e26c851bbc8edaa170e7966ed4503d87e363365f","cross_cats_sorted":["q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-08-22T12:22:58Z","title_canon_sha256":"5f5766fa05913724ba596eaeb5c771dc6b7760ff5cb19eb10f2f2be6b8c1df97"},"schema_version":"1.0","source":{"id":"1708.06579","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.06579","created_at":"2026-05-18T00:37:33Z"},{"alias_kind":"arxiv_version","alias_value":"1708.06579v1","created_at":"2026-05-18T00:37:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.06579","created_at":"2026-05-18T00:37:33Z"},{"alias_kind":"pith_short_12","alias_value":"ZF2MBRKQYP4T","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZF2MBRKQYP4TLEZM","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZF2MBRKQ","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:207966834b5f2b400a9e22387226b51ae845915a8795a39555be3453f375e7b5","target":"graph","created_at":"2026-05-18T00:37:33Z","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":"The dynamics of gene regulatory networks are often modeled with the assumption of cellular homogeneity. However, this assumption contradicts the plethora of experimental results in a variety of systems, which designates that cell populations are heterogeneous systems in the sense that properties such as size, shape, and DNA/RNA content are unevenly distributed amongst their individuals. In order to address the implications of heterogeneity, we utilize the so-called cell population balance (CPB) models. Here, we solve numerically multivariable CPB models to study the effect of heterogeneity on ","authors_text":"Andreas G. Boudouvis, Michail E. Kavousanakis, Panagiotis Chrysinas","cross_cats":["q-bio.MN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-08-22T12:22:58Z","title":"Effect of cell heterogeneity on isogenic populations with the synthetic genetic toggle switch network: bifurcation analysis of two-dimensional Cell Population Balance Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06579","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":"sha256:68d022206af4fc3219fdf2183f794c481128fbe3d6d179fde45bbea467ddb91d","target":"record","created_at":"2026-05-18T00:37:33Z","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":"32de1ac890f9d06b204cf258e26c851bbc8edaa170e7966ed4503d87e363365f","cross_cats_sorted":["q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-08-22T12:22:58Z","title_canon_sha256":"5f5766fa05913724ba596eaeb5c771dc6b7760ff5cb19eb10f2f2be6b8c1df97"},"schema_version":"1.0","source":{"id":"1708.06579","kind":"arxiv","version":1}},"canonical_sha256":"c974c0c550c3f935932ce161b0bbe21e4aac8414bae1737d75fe0c9aa2f449bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c974c0c550c3f935932ce161b0bbe21e4aac8414bae1737d75fe0c9aa2f449bc","first_computed_at":"2026-05-18T00:37:33.110049Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:33.110049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/w5lehxipAW4AHxtUYDgv0Xq6nYY5c4+W6DVubxujbNEw9dMWc7T4WFYnq1cEDEDR556VOuSDVdzNBPhexSUAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:33.110434Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.06579","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68d022206af4fc3219fdf2183f794c481128fbe3d6d179fde45bbea467ddb91d","sha256:207966834b5f2b400a9e22387226b51ae845915a8795a39555be3453f375e7b5"],"state_sha256":"1654d510fdab6e559a20e0422afca7bcb1d1345bd30a8872d29f842f07b55c1e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vu9VE8DEhCq5dzAniGQSvwStQ0uhCHXHO8ORuF2AoDw1TzmQHxZdXLr3ig19ugMLFeV3G8+4bc9Y698jMcDiAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T04:59:42.023753Z","bundle_sha256":"71bf69283e6a984f4f92dd0b55fa3b1df8343afafd86d4895adacbbbda9b5a8a"}}