{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:K7OPNBVOG2FLH35OYIXNPVL775","short_pith_number":"pith:K7OPNBVO","canonical_record":{"source":{"id":"1711.07074","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-11-19T20:22:50Z","cross_cats_sorted":["math.CO","q-bio.MN"],"title_canon_sha256":"5d3aa2b6ebc458427dc4ee463129247b1d41451ec4f86de147e5e622e4c4c6ff","abstract_canon_sha256":"3931915a5c2dabe89e408995689ab4c7d41444f8fe50e1dc1e40d6e3622ef70e"},"schema_version":"1.0"},"canonical_sha256":"57dcf686ae368ab3efaec22ed7d57fff7053780c4d9bf47f87cb645771657bcc","source":{"kind":"arxiv","id":"1711.07074","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.07074","created_at":"2026-05-18T00:30:12Z"},{"alias_kind":"arxiv_version","alias_value":"1711.07074v1","created_at":"2026-05-18T00:30:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.07074","created_at":"2026-05-18T00:30:12Z"},{"alias_kind":"pith_short_12","alias_value":"K7OPNBVOG2FL","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"K7OPNBVOG2FLH35O","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"K7OPNBVO","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:K7OPNBVOG2FLH35OYIXNPVL775","target":"record","payload":{"canonical_record":{"source":{"id":"1711.07074","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-11-19T20:22:50Z","cross_cats_sorted":["math.CO","q-bio.MN"],"title_canon_sha256":"5d3aa2b6ebc458427dc4ee463129247b1d41451ec4f86de147e5e622e4c4c6ff","abstract_canon_sha256":"3931915a5c2dabe89e408995689ab4c7d41444f8fe50e1dc1e40d6e3622ef70e"},"schema_version":"1.0"},"canonical_sha256":"57dcf686ae368ab3efaec22ed7d57fff7053780c4d9bf47f87cb645771657bcc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:12.365432Z","signature_b64":"x0ScKtIKV8fRCRiAdK5E21fq51Qd7BYdNo58jAwT3P+ofKJmp3jK0y5FHAV1+xlWJjEk8BWYLwdvczJMdbuABA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57dcf686ae368ab3efaec22ed7d57fff7053780c4d9bf47f87cb645771657bcc","last_reissued_at":"2026-05-18T00:30:12.364459Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:12.364459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.07074","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":"2026-05-18T00:30:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dObLIWDgSswQ7WfCVkr76xT5jatKnA+SzKcEPAfN0JkFN3U/eSg9f2B7Zs4NT9FL34hsjfsFO2qCGaAgMMKUCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:53:57.478051Z"},"content_sha256":"b58c8e9b41e57109fc1dd4354f50027c79f8f028af60eac312dda5ef037b38fa","schema_version":"1.0","event_id":"sha256:b58c8e9b41e57109fc1dd4354f50027c79f8f028af60eac312dda5ef037b38fa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:K7OPNBVOG2FLH35OYIXNPVL775","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Node Balanced Steady States: Unifying and Generalizing Complex and Detailed Balanced Steady States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","q-bio.MN"],"primary_cat":"math.DS","authors_text":"Carsten Wiuf, Daniele Cappelletti, Elisenda Feliu","submitted_at":"2017-11-19T20:22:50Z","abstract_excerpt":"We introduce a unifying and generalizing framework for complex and detailed balanced steady states in chemical reaction network theory. To this end, we generalize the graph commonly used to represent a reaction network. Specifically, we introduce a graph, called a reaction graph, that has one edge for each reaction but potentially multiple nodes for each complex. A special class of steady states, called node balanced steady states, is naturally associated with such a reaction graph. We show that complex and detailed balanced steady states are special cases of node balanced steady states by cho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.07074","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":"2026-05-18T00:30:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HA+1UC4XPVnVAeSutb3Li0RiLWcGRiFm5qZIa+0DPwJoEgs40ySp2QKXgwglSsjr7vXQqgcO4+ePcbK/8jGZDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:53:57.478746Z"},"content_sha256":"b9a5708130d0d67fee09bdf65ef43ae937f0a8b659ac924e8ffe48360c54154f","schema_version":"1.0","event_id":"sha256:b9a5708130d0d67fee09bdf65ef43ae937f0a8b659ac924e8ffe48360c54154f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K7OPNBVOG2FLH35OYIXNPVL775/bundle.json","state_url":"https://pith.science/pith/K7OPNBVOG2FLH35OYIXNPVL775/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K7OPNBVOG2FLH35OYIXNPVL775/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":"2026-05-27T18:53:57Z","links":{"resolver":"https://pith.science/pith/K7OPNBVOG2FLH35OYIXNPVL775","bundle":"https://pith.science/pith/K7OPNBVOG2FLH35OYIXNPVL775/bundle.json","state":"https://pith.science/pith/K7OPNBVOG2FLH35OYIXNPVL775/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K7OPNBVOG2FLH35OYIXNPVL775/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:K7OPNBVOG2FLH35OYIXNPVL775","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":"3931915a5c2dabe89e408995689ab4c7d41444f8fe50e1dc1e40d6e3622ef70e","cross_cats_sorted":["math.CO","q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-11-19T20:22:50Z","title_canon_sha256":"5d3aa2b6ebc458427dc4ee463129247b1d41451ec4f86de147e5e622e4c4c6ff"},"schema_version":"1.0","source":{"id":"1711.07074","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.07074","created_at":"2026-05-18T00:30:12Z"},{"alias_kind":"arxiv_version","alias_value":"1711.07074v1","created_at":"2026-05-18T00:30:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.07074","created_at":"2026-05-18T00:30:12Z"},{"alias_kind":"pith_short_12","alias_value":"K7OPNBVOG2FL","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"K7OPNBVOG2FLH35O","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"K7OPNBVO","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:b9a5708130d0d67fee09bdf65ef43ae937f0a8b659ac924e8ffe48360c54154f","target":"graph","created_at":"2026-05-18T00:30:12Z","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 introduce a unifying and generalizing framework for complex and detailed balanced steady states in chemical reaction network theory. To this end, we generalize the graph commonly used to represent a reaction network. Specifically, we introduce a graph, called a reaction graph, that has one edge for each reaction but potentially multiple nodes for each complex. A special class of steady states, called node balanced steady states, is naturally associated with such a reaction graph. We show that complex and detailed balanced steady states are special cases of node balanced steady states by cho","authors_text":"Carsten Wiuf, Daniele Cappelletti, Elisenda Feliu","cross_cats":["math.CO","q-bio.MN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-11-19T20:22:50Z","title":"Node Balanced Steady States: Unifying and Generalizing Complex and Detailed Balanced Steady States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.07074","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:b58c8e9b41e57109fc1dd4354f50027c79f8f028af60eac312dda5ef037b38fa","target":"record","created_at":"2026-05-18T00:30:12Z","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":"3931915a5c2dabe89e408995689ab4c7d41444f8fe50e1dc1e40d6e3622ef70e","cross_cats_sorted":["math.CO","q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-11-19T20:22:50Z","title_canon_sha256":"5d3aa2b6ebc458427dc4ee463129247b1d41451ec4f86de147e5e622e4c4c6ff"},"schema_version":"1.0","source":{"id":"1711.07074","kind":"arxiv","version":1}},"canonical_sha256":"57dcf686ae368ab3efaec22ed7d57fff7053780c4d9bf47f87cb645771657bcc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57dcf686ae368ab3efaec22ed7d57fff7053780c4d9bf47f87cb645771657bcc","first_computed_at":"2026-05-18T00:30:12.364459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:12.364459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x0ScKtIKV8fRCRiAdK5E21fq51Qd7BYdNo58jAwT3P+ofKJmp3jK0y5FHAV1+xlWJjEk8BWYLwdvczJMdbuABA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:12.365432Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.07074","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b58c8e9b41e57109fc1dd4354f50027c79f8f028af60eac312dda5ef037b38fa","sha256:b9a5708130d0d67fee09bdf65ef43ae937f0a8b659ac924e8ffe48360c54154f"],"state_sha256":"480949915ee593798652432f8958d37d057962d9e3bf324fcf6ebfdb545e85aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H3YYlSKTUUMrxRtJ8WlySTtxhz5Bsv2gwcOg+nhydEn/s3pFd+SLZQvhLrwahYxCCXDe+n2+IN8UCkVebv1ADw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:53:57.483803Z","bundle_sha256":"26df93e0664bde8e75c9eba2f0aa6145c49ca739538b37aefacb69704a2e8ae2"}}