{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:5KLFIFWPNJ2YJRQS3PXR6APSFL","short_pith_number":"pith:5KLFIFWP","canonical_record":{"source":{"id":"1109.3670","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2011-09-16T17:27:57Z","cross_cats_sorted":["math.AG","math.DS"],"title_canon_sha256":"707b97d2b652c4c36c730d067244fba2cbc64c477eff511370e9ddbd8d21dcec","abstract_canon_sha256":"80d36dcd07eddab5243eb7b619eb3b0e3d0a66bbc64a79a5d4121d6220757bab"},"schema_version":"1.0"},"canonical_sha256":"ea965416cf6a7584c612dbef1f01f22ad29db75bb629d783a4dd8410968d6c7d","source":{"kind":"arxiv","id":"1109.3670","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3670","created_at":"2026-05-18T02:00:31Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3670v3","created_at":"2026-05-18T02:00:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3670","created_at":"2026-05-18T02:00:31Z"},{"alias_kind":"pith_short_12","alias_value":"5KLFIFWPNJ2Y","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5KLFIFWPNJ2YJRQS","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5KLFIFWP","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:5KLFIFWPNJ2YJRQS3PXR6APSFL","target":"record","payload":{"canonical_record":{"source":{"id":"1109.3670","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2011-09-16T17:27:57Z","cross_cats_sorted":["math.AG","math.DS"],"title_canon_sha256":"707b97d2b652c4c36c730d067244fba2cbc64c477eff511370e9ddbd8d21dcec","abstract_canon_sha256":"80d36dcd07eddab5243eb7b619eb3b0e3d0a66bbc64a79a5d4121d6220757bab"},"schema_version":"1.0"},"canonical_sha256":"ea965416cf6a7584c612dbef1f01f22ad29db75bb629d783a4dd8410968d6c7d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:31.734457Z","signature_b64":"yE2mPSfG3c98w2T5nNzEak9BjkaTtxKpfI4twMBJ5Go+MNWHb+suwoUoFa40IZLCZpfKEDP4wVM7pq3jQVgsAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea965416cf6a7584c612dbef1f01f22ad29db75bb629d783a4dd8410968d6c7d","last_reissued_at":"2026-05-18T02:00:31.733783Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:31.733783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.3670","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:00:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E2mRZAVYK5/Vox66tnB1uk/IoPpPy4x8Tkn/dVt+BpqC24T/z6np66MGjHpzvz9KSr0LTQupPrZ/0f5z7xIQBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T11:12:12.572567Z"},"content_sha256":"8ca0e2ea4896a8617ce2adc204273ef9f494a66e7b880c1b7c114c9fe016a75c","schema_version":"1.0","event_id":"sha256:8ca0e2ea4896a8617ce2adc204273ef9f494a66e7b880c1b7c114c9fe016a75c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:5KLFIFWPNJ2YJRQS3PXR6APSFL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A parameter-free model discrimination criterion based on steady-state coplanarity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.DS"],"primary_cat":"q-bio.QM","authors_text":"Heather A. Harrington, Kenneth L. Ho, Michael P. H. Stumpf, Thomas Thorne","submitted_at":"2011-09-16T17:27:57Z","abstract_excerpt":"We describe a novel procedure for deciding when a mass-action model is incompatible with observed steady-state data that does not require any parameter estimation. Thus, we avoid the difficulties of nonlinear optimization typically associated with methods based on parameter fitting. The key idea is to use the model equations to construct a transformation of the original variables such that any set of steady states of the model under that transformation lies on a common plane, irrespective of the values of the model parameters. Model rejection can then be performed by assessing the degree to wh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3670","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:00:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pK3fNy2ukvfgWbc2qBzCAwOjMvgAb3bXTsUdHNOMgdZ53Ee72sQNj+yJlkUgEzoGSZDWkpnKGY8/s3NH2td7Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T11:12:12.573212Z"},"content_sha256":"8f90b71bb718a7a71f3561d0a45855fe590304b051f5b30f6ff2afae346a57df","schema_version":"1.0","event_id":"sha256:8f90b71bb718a7a71f3561d0a45855fe590304b051f5b30f6ff2afae346a57df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5KLFIFWPNJ2YJRQS3PXR6APSFL/bundle.json","state_url":"https://pith.science/pith/5KLFIFWPNJ2YJRQS3PXR6APSFL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5KLFIFWPNJ2YJRQS3PXR6APSFL/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":"2026-05-25T11:12:12Z","links":{"resolver":"https://pith.science/pith/5KLFIFWPNJ2YJRQS3PXR6APSFL","bundle":"https://pith.science/pith/5KLFIFWPNJ2YJRQS3PXR6APSFL/bundle.json","state":"https://pith.science/pith/5KLFIFWPNJ2YJRQS3PXR6APSFL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5KLFIFWPNJ2YJRQS3PXR6APSFL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5KLFIFWPNJ2YJRQS3PXR6APSFL","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":"80d36dcd07eddab5243eb7b619eb3b0e3d0a66bbc64a79a5d4121d6220757bab","cross_cats_sorted":["math.AG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2011-09-16T17:27:57Z","title_canon_sha256":"707b97d2b652c4c36c730d067244fba2cbc64c477eff511370e9ddbd8d21dcec"},"schema_version":"1.0","source":{"id":"1109.3670","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3670","created_at":"2026-05-18T02:00:31Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3670v3","created_at":"2026-05-18T02:00:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3670","created_at":"2026-05-18T02:00:31Z"},{"alias_kind":"pith_short_12","alias_value":"5KLFIFWPNJ2Y","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5KLFIFWPNJ2YJRQS","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5KLFIFWP","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:8f90b71bb718a7a71f3561d0a45855fe590304b051f5b30f6ff2afae346a57df","target":"graph","created_at":"2026-05-18T02:00:31Z","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 describe a novel procedure for deciding when a mass-action model is incompatible with observed steady-state data that does not require any parameter estimation. Thus, we avoid the difficulties of nonlinear optimization typically associated with methods based on parameter fitting. The key idea is to use the model equations to construct a transformation of the original variables such that any set of steady states of the model under that transformation lies on a common plane, irrespective of the values of the model parameters. Model rejection can then be performed by assessing the degree to wh","authors_text":"Heather A. Harrington, Kenneth L. Ho, Michael P. H. Stumpf, Thomas Thorne","cross_cats":["math.AG","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2011-09-16T17:27:57Z","title":"A parameter-free model discrimination criterion based on steady-state coplanarity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3670","kind":"arxiv","version":3},"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":"sha256:8ca0e2ea4896a8617ce2adc204273ef9f494a66e7b880c1b7c114c9fe016a75c","target":"record","created_at":"2026-05-18T02:00:31Z","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":"80d36dcd07eddab5243eb7b619eb3b0e3d0a66bbc64a79a5d4121d6220757bab","cross_cats_sorted":["math.AG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2011-09-16T17:27:57Z","title_canon_sha256":"707b97d2b652c4c36c730d067244fba2cbc64c477eff511370e9ddbd8d21dcec"},"schema_version":"1.0","source":{"id":"1109.3670","kind":"arxiv","version":3}},"canonical_sha256":"ea965416cf6a7584c612dbef1f01f22ad29db75bb629d783a4dd8410968d6c7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea965416cf6a7584c612dbef1f01f22ad29db75bb629d783a4dd8410968d6c7d","first_computed_at":"2026-05-18T02:00:31.733783Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:31.733783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yE2mPSfG3c98w2T5nNzEak9BjkaTtxKpfI4twMBJ5Go+MNWHb+suwoUoFa40IZLCZpfKEDP4wVM7pq3jQVgsAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:31.734457Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3670","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ca0e2ea4896a8617ce2adc204273ef9f494a66e7b880c1b7c114c9fe016a75c","sha256:8f90b71bb718a7a71f3561d0a45855fe590304b051f5b30f6ff2afae346a57df"],"state_sha256":"6a300279c17f402319fe6165842b541c079479eb940ec3741fe97984653b2b61"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uO9vhi7C1SMXQkM63yu81F7JrnzoBiVMXw4orOobxozBFRmv5DyMd1ny4X+mpneRHPu6s0CQlPp4JIDJhuKlDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T11:12:12.576649Z","bundle_sha256":"b2c546a880e42d635418723a3f881efec95b47713e678324a368efa6de31cb47"}}