{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:SGME5KTK54ZRAEHJG3A7QEMX3N","short_pith_number":"pith:SGME5KTK","canonical_record":{"source":{"id":"1401.8028","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2014-01-30T23:25:46Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"b25c8e9e8c3eea4418680e16c90d31fdc6643d200b2b0f285b363f5728014c0b","abstract_canon_sha256":"58759c4179c69c9e073097320c8d4a587e4177f01f123ac2e2bcf9da13dc0cee"},"schema_version":"1.0"},"canonical_sha256":"91984eaa6aef331010e936c1f81197db46022926b8c2c93854d4f2f724f37903","source":{"kind":"arxiv","id":"1401.8028","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.8028","created_at":"2026-05-18T02:47:52Z"},{"alias_kind":"arxiv_version","alias_value":"1401.8028v2","created_at":"2026-05-18T02:47:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.8028","created_at":"2026-05-18T02:47:52Z"},{"alias_kind":"pith_short_12","alias_value":"SGME5KTK54ZR","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SGME5KTK54ZRAEHJ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SGME5KTK","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:SGME5KTK54ZRAEHJG3A7QEMX3N","target":"record","payload":{"canonical_record":{"source":{"id":"1401.8028","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2014-01-30T23:25:46Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"b25c8e9e8c3eea4418680e16c90d31fdc6643d200b2b0f285b363f5728014c0b","abstract_canon_sha256":"58759c4179c69c9e073097320c8d4a587e4177f01f123ac2e2bcf9da13dc0cee"},"schema_version":"1.0"},"canonical_sha256":"91984eaa6aef331010e936c1f81197db46022926b8c2c93854d4f2f724f37903","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:52.759515Z","signature_b64":"nWFSMuot/KXepho8lUkjq8sLaRebOJCoImBlGJIu3od6FQwUskh9C8o4YVPZnjJp1i6vN9aM389Yoi1f8rzBAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91984eaa6aef331010e936c1f81197db46022926b8c2c93854d4f2f724f37903","last_reissued_at":"2026-05-18T02:47:52.759040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:52.759040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.8028","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:47:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9MhlNphEJjFQ87Ea2Z6OhMQWl+f1IQHXsduvRu8bQ7lJb5VUhoibhlJLbx4ypIRHpAFxoUMZ8SRzXvU0e7kZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:52:12.345126Z"},"content_sha256":"01f22eb2d069cc3661b99238adee9989fd9a10e100b2d530952a209a70d5f5a4","schema_version":"1.0","event_id":"sha256:01f22eb2d069cc3661b99238adee9989fd9a10e100b2d530952a209a70d5f5a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:SGME5KTK54ZRAEHJG3A7QEMX3N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Implicit dose-response curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"q-bio.QM","authors_text":"Alicia Dickenstein, Mercedes P\\'erez Mill\\'an","submitted_at":"2014-01-30T23:25:46Z","abstract_excerpt":"We develop tools from computational algebraic geometry for the study of steady state features of autonomous polynomial dynamical systems via elimination of variables. In particular, we obtain nontrivial bounds for the steady state concentration of a given species in biochemical reaction networks with mass-action kinetics. This species is understood as the output of the network and we thus bound the maximal response of the system. The improved bounds give smaller starting boxes to launch numerical methods. We apply our results to the sequential enzymatic network studied in Markevich et al.(2004"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.8028","kind":"arxiv","version":2},"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":"2026-05-18T02:47:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n8A1PlQqZuXd4O06WLWrw19VE31Ot8hvK3FVogJWH7NNxTjDOKOW59FO33A1URy1sPC+xcxduPaImI+c8RXZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:52:12.345492Z"},"content_sha256":"6284f18c877e08ad936a90f40be7f2169a97f5710b1d02ce6cdb393eb7ca3509","schema_version":"1.0","event_id":"sha256:6284f18c877e08ad936a90f40be7f2169a97f5710b1d02ce6cdb393eb7ca3509"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SGME5KTK54ZRAEHJG3A7QEMX3N/bundle.json","state_url":"https://pith.science/pith/SGME5KTK54ZRAEHJG3A7QEMX3N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SGME5KTK54ZRAEHJG3A7QEMX3N/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":"2026-05-28T08:52:12Z","links":{"resolver":"https://pith.science/pith/SGME5KTK54ZRAEHJG3A7QEMX3N","bundle":"https://pith.science/pith/SGME5KTK54ZRAEHJG3A7QEMX3N/bundle.json","state":"https://pith.science/pith/SGME5KTK54ZRAEHJG3A7QEMX3N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SGME5KTK54ZRAEHJG3A7QEMX3N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SGME5KTK54ZRAEHJG3A7QEMX3N","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":"58759c4179c69c9e073097320c8d4a587e4177f01f123ac2e2bcf9da13dc0cee","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2014-01-30T23:25:46Z","title_canon_sha256":"b25c8e9e8c3eea4418680e16c90d31fdc6643d200b2b0f285b363f5728014c0b"},"schema_version":"1.0","source":{"id":"1401.8028","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.8028","created_at":"2026-05-18T02:47:52Z"},{"alias_kind":"arxiv_version","alias_value":"1401.8028v2","created_at":"2026-05-18T02:47:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.8028","created_at":"2026-05-18T02:47:52Z"},{"alias_kind":"pith_short_12","alias_value":"SGME5KTK54ZR","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SGME5KTK54ZRAEHJ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SGME5KTK","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:6284f18c877e08ad936a90f40be7f2169a97f5710b1d02ce6cdb393eb7ca3509","target":"graph","created_at":"2026-05-18T02:47:52Z","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 develop tools from computational algebraic geometry for the study of steady state features of autonomous polynomial dynamical systems via elimination of variables. In particular, we obtain nontrivial bounds for the steady state concentration of a given species in biochemical reaction networks with mass-action kinetics. This species is understood as the output of the network and we thus bound the maximal response of the system. The improved bounds give smaller starting boxes to launch numerical methods. We apply our results to the sequential enzymatic network studied in Markevich et al.(2004","authors_text":"Alicia Dickenstein, Mercedes P\\'erez Mill\\'an","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2014-01-30T23:25:46Z","title":"Implicit dose-response curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.8028","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":"sha256:01f22eb2d069cc3661b99238adee9989fd9a10e100b2d530952a209a70d5f5a4","target":"record","created_at":"2026-05-18T02:47:52Z","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":"58759c4179c69c9e073097320c8d4a587e4177f01f123ac2e2bcf9da13dc0cee","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2014-01-30T23:25:46Z","title_canon_sha256":"b25c8e9e8c3eea4418680e16c90d31fdc6643d200b2b0f285b363f5728014c0b"},"schema_version":"1.0","source":{"id":"1401.8028","kind":"arxiv","version":2}},"canonical_sha256":"91984eaa6aef331010e936c1f81197db46022926b8c2c93854d4f2f724f37903","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91984eaa6aef331010e936c1f81197db46022926b8c2c93854d4f2f724f37903","first_computed_at":"2026-05-18T02:47:52.759040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:52.759040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nWFSMuot/KXepho8lUkjq8sLaRebOJCoImBlGJIu3od6FQwUskh9C8o4YVPZnjJp1i6vN9aM389Yoi1f8rzBAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:52.759515Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.8028","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01f22eb2d069cc3661b99238adee9989fd9a10e100b2d530952a209a70d5f5a4","sha256:6284f18c877e08ad936a90f40be7f2169a97f5710b1d02ce6cdb393eb7ca3509"],"state_sha256":"89fa034b7caf98f4ed97d79bdaff151c54a2b1c2e07b7b8ca87196a3a732c7c5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LoM3ctvy5RwPvK/ATtQDEv59mjPNmrYe9+E8UYZzZr6hucu0QOeO2qSQtBWknSQqzpGIFGtgwCNUW4luCLBZAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T08:52:12.347547Z","bundle_sha256":"3ba8da7131df9674aaba64a0ba537efd8258778f1ce1192329674c6a4ab5e47c"}}