{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:B73EIYPUCBO4DG6U2ZLHGZZPUL","short_pith_number":"pith:B73EIYPU","schema_version":"1.0","canonical_sha256":"0ff64461f4105dc19bd4d65673672fa2eeb4e41b00d2a0ecf943c7347fdd48ec","source":{"kind":"arxiv","id":"0903.4844","version":3},"attestation_state":"computed","paper":{"title":"Quantification of Biological Robustness at the Systemic Level","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.QM"],"primary_cat":"q-bio.SC","authors_text":"Aniket Magarkar, Anirban Banerji, Shweta Kolhi","submitted_at":"2009-03-27T16:43:00Z","abstract_excerpt":"Biological systems possess negative entropy. In them, one form of order produces another, more organized form of order. We propose a formal scheme to calculate robustness of an entire biological system by quantifying the negative entropy present in it. Our Methodology is based upon a computational implementation of two-person non-cooperative finite zero-sum game between positive (physico-chemical) and negative (biological) entropy, present in the system(TCA cycle, for this work). Biochemical analogue of Nash equilibrium, proposed here, could measure the robustness in TCA cycle in exact numeric"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0903.4844","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.SC","submitted_at":"2009-03-27T16:43:00Z","cross_cats_sorted":["q-bio.QM"],"title_canon_sha256":"093ea8a040411b1c53567f8212a1c0ef5c105624f1f59070cf3cb689bec2ed08","abstract_canon_sha256":"0ccf2a83693270e30402ceca97ce48303fc34fde8b182202532dc2560e9c788c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:59.528109Z","signature_b64":"37CPOg18LW0OmppMI6jUTjOQAsC1V+XBxlVqKIUWbFy6RlJBacghJYeOwbcWiT08/2mbf4tlGLevEYFy9121CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ff64461f4105dc19bd4d65673672fa2eeb4e41b00d2a0ecf943c7347fdd48ec","last_reissued_at":"2026-05-18T04:05:59.527693Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:59.527693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantification of Biological Robustness at the Systemic Level","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.QM"],"primary_cat":"q-bio.SC","authors_text":"Aniket Magarkar, Anirban Banerji, Shweta Kolhi","submitted_at":"2009-03-27T16:43:00Z","abstract_excerpt":"Biological systems possess negative entropy. In them, one form of order produces another, more organized form of order. We propose a formal scheme to calculate robustness of an entire biological system by quantifying the negative entropy present in it. Our Methodology is based upon a computational implementation of two-person non-cooperative finite zero-sum game between positive (physico-chemical) and negative (biological) entropy, present in the system(TCA cycle, for this work). Biochemical analogue of Nash equilibrium, proposed here, could measure the robustness in TCA cycle in exact numeric"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.4844","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0903.4844","created_at":"2026-05-18T04:05:59.527748+00:00"},{"alias_kind":"arxiv_version","alias_value":"0903.4844v3","created_at":"2026-05-18T04:05:59.527748+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.4844","created_at":"2026-05-18T04:05:59.527748+00:00"},{"alias_kind":"pith_short_12","alias_value":"B73EIYPUCBO4","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"B73EIYPUCBO4DG6U","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"B73EIYPU","created_at":"2026-05-18T12:25:58.837520+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B73EIYPUCBO4DG6U2ZLHGZZPUL","json":"https://pith.science/pith/B73EIYPUCBO4DG6U2ZLHGZZPUL.json","graph_json":"https://pith.science/api/pith-number/B73EIYPUCBO4DG6U2ZLHGZZPUL/graph.json","events_json":"https://pith.science/api/pith-number/B73EIYPUCBO4DG6U2ZLHGZZPUL/events.json","paper":"https://pith.science/paper/B73EIYPU"},"agent_actions":{"view_html":"https://pith.science/pith/B73EIYPUCBO4DG6U2ZLHGZZPUL","download_json":"https://pith.science/pith/B73EIYPUCBO4DG6U2ZLHGZZPUL.json","view_paper":"https://pith.science/paper/B73EIYPU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0903.4844&json=true","fetch_graph":"https://pith.science/api/pith-number/B73EIYPUCBO4DG6U2ZLHGZZPUL/graph.json","fetch_events":"https://pith.science/api/pith-number/B73EIYPUCBO4DG6U2ZLHGZZPUL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B73EIYPUCBO4DG6U2ZLHGZZPUL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B73EIYPUCBO4DG6U2ZLHGZZPUL/action/storage_attestation","attest_author":"https://pith.science/pith/B73EIYPUCBO4DG6U2ZLHGZZPUL/action/author_attestation","sign_citation":"https://pith.science/pith/B73EIYPUCBO4DG6U2ZLHGZZPUL/action/citation_signature","submit_replication":"https://pith.science/pith/B73EIYPUCBO4DG6U2ZLHGZZPUL/action/replication_record"}},"created_at":"2026-05-18T04:05:59.527748+00:00","updated_at":"2026-05-18T04:05:59.527748+00:00"}