{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:IXC23BEDSKDVF7BGMUYNOA4IJF","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":"09539e6926ddebb071dd2c87f74b912fd0e7370454079f8329d6c39e1dcd5671","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2009-02-04T08:54:08Z","title_canon_sha256":"2af3c86fc8e2e66140a57c22b5d6274904ee44cdcbe665834b99d257ee6964ff"},"schema_version":"1.0","source":{"id":"0902.0664","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.0664","created_at":"2026-05-18T04:07:43Z"},{"alias_kind":"arxiv_version","alias_value":"0902.0664v2","created_at":"2026-05-18T04:07:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.0664","created_at":"2026-05-18T04:07:43Z"},{"alias_kind":"pith_short_12","alias_value":"IXC23BEDSKDV","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"IXC23BEDSKDVF7BG","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"IXC23BED","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:ac6bb6075a3387622e8ddef8e6bf13a5ba91d79eaa642eb9e4ff30922f80809a","target":"graph","created_at":"2026-05-18T04:07:43Z","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":"Context-dependent nature of biological phenomena are well documented in every branch of biology. While there have been few previous attempts to (implicitly) model various facets of biological context-dependence, a formal and general mathematical construct to model the wide spectrum of context-dependence, eludes the students of biology. An objective and rigorous model, from both 'bottom-up' as well as 'top-down' perspective, is proposed here to serve as the template to describe the various kinds of context-dependence that we encounter in different branches of biology. Interactions between biolo","authors_text":"Anirban Banerji","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2009-02-04T08:54:08Z","title":"A (possible) mathematical model to describe biological \"context-dependence\" : case study with protein structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.0664","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:b98eb4224194db770b4ae06d0204b9d0e8e9ee3b8a2cf5499475cb6a25c5c870","target":"record","created_at":"2026-05-18T04:07:43Z","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":"09539e6926ddebb071dd2c87f74b912fd0e7370454079f8329d6c39e1dcd5671","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2009-02-04T08:54:08Z","title_canon_sha256":"2af3c86fc8e2e66140a57c22b5d6274904ee44cdcbe665834b99d257ee6964ff"},"schema_version":"1.0","source":{"id":"0902.0664","kind":"arxiv","version":2}},"canonical_sha256":"45c5ad8483928752fc266530d7038849717be4b31514e17634331567b0b76c83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45c5ad8483928752fc266530d7038849717be4b31514e17634331567b0b76c83","first_computed_at":"2026-05-18T04:07:43.310250Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:43.310250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IFvsBTO37Q7HsPE8Dw2gJrN50uMYJDerCVrzL8+FH54Zr13zeGcaWir2v4/8HGZaXa6TeE2d0GJzFx+SARFACg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:43.310771Z","signed_message":"canonical_sha256_bytes"},"source_id":"0902.0664","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b98eb4224194db770b4ae06d0204b9d0e8e9ee3b8a2cf5499475cb6a25c5c870","sha256:ac6bb6075a3387622e8ddef8e6bf13a5ba91d79eaa642eb9e4ff30922f80809a"],"state_sha256":"1d6e34625860d39db6a77c0abc9cc061d71f924893428e351446a13e67259a49"}