{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:IAYQ42VQRWQTZBDH4MABOVJ26E","short_pith_number":"pith:IAYQ42VQ","canonical_record":{"source":{"id":"1502.07251","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2015-02-25T19:17:41Z","cross_cats_sorted":[],"title_canon_sha256":"de7284eef1e420aa46c3fd23f3138292111536b6e84b3e97f26e081ca4a663c0","abstract_canon_sha256":"4b11d51f051a4c4bcbac2ad124a66d3e5f5f3552e7fa3fb7cb5eb68c03999e35"},"schema_version":"1.0"},"canonical_sha256":"40310e6ab08da13c8467e30017553af1119bc9af4ad288ee1fe43a3d88aa4ce4","source":{"kind":"arxiv","id":"1502.07251","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07251","created_at":"2026-05-18T01:35:32Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07251v5","created_at":"2026-05-18T01:35:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07251","created_at":"2026-05-18T01:35:32Z"},{"alias_kind":"pith_short_12","alias_value":"IAYQ42VQRWQT","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IAYQ42VQRWQTZBDH","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IAYQ42VQ","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:IAYQ42VQRWQTZBDH4MABOVJ26E","target":"record","payload":{"canonical_record":{"source":{"id":"1502.07251","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2015-02-25T19:17:41Z","cross_cats_sorted":[],"title_canon_sha256":"de7284eef1e420aa46c3fd23f3138292111536b6e84b3e97f26e081ca4a663c0","abstract_canon_sha256":"4b11d51f051a4c4bcbac2ad124a66d3e5f5f3552e7fa3fb7cb5eb68c03999e35"},"schema_version":"1.0"},"canonical_sha256":"40310e6ab08da13c8467e30017553af1119bc9af4ad288ee1fe43a3d88aa4ce4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:32.322849Z","signature_b64":"jViove2e8MLilckXZnCrKQuIB7euedBvS2fgGMgjliOhnZBQAGa/b1KmVB3V3NYXMsBJIiSTsi1g+m1udgdpBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40310e6ab08da13c8467e30017553af1119bc9af4ad288ee1fe43a3d88aa4ce4","last_reissued_at":"2026-05-18T01:35:32.322331Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:32.322331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.07251","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J8ycPzGUOb/sOi2/W67phQqRQQNoBT1pn4rm12BoBD0wo+97mqs2j7R4Z6nSu3PHk3GvCslmgekYdcXb7nb4Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:31:52.084300Z"},"content_sha256":"b74b0078c1a0a155b1bfbd825377ab98116e026e0f7d1125cad4e133e37a858e","schema_version":"1.0","event_id":"sha256:b74b0078c1a0a155b1bfbd825377ab98116e026e0f7d1125cad4e133e37a858e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:IAYQ42VQRWQTZBDH4MABOVJ26E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mass Action and Conservation of Current","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.OT","authors_text":"Bob Eisenberg","submitted_at":"2015-02-25T19:17:41Z","abstract_excerpt":"The law of mass action is used widely. The law of mass action does not automatically conserve current, as is clear from mathematics of a simple case, chosen to illustrate the issues. The law of mass action does not force a series of chemical reactions to have the same current flow everywhere. Interruption of far-away current does not stop current everywhere in a series of chemical reactions, and so does not obey Maxwell equations. An additional constraint and equation is needed to enforce the global continuity of current flow. The additional constraint is introduced in this paper in the specia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07251","kind":"arxiv","version":5},"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":"2026-05-18T01:35:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HJLGMPvqrOeGohY+CNQNRMqHsIU1w6HP/iJRG68hEt0oH48v6i+FRCrRSbZ0HvofrnwcBEChg9EU3H8nMCCIAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:31:52.085001Z"},"content_sha256":"ee2119a57b972f7e7f8685f50d4aea7edfc241efec3596ec24060b6ce64a5b60","schema_version":"1.0","event_id":"sha256:ee2119a57b972f7e7f8685f50d4aea7edfc241efec3596ec24060b6ce64a5b60"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IAYQ42VQRWQTZBDH4MABOVJ26E/bundle.json","state_url":"https://pith.science/pith/IAYQ42VQRWQTZBDH4MABOVJ26E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IAYQ42VQRWQTZBDH4MABOVJ26E/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":"2026-05-27T18:31:52Z","links":{"resolver":"https://pith.science/pith/IAYQ42VQRWQTZBDH4MABOVJ26E","bundle":"https://pith.science/pith/IAYQ42VQRWQTZBDH4MABOVJ26E/bundle.json","state":"https://pith.science/pith/IAYQ42VQRWQTZBDH4MABOVJ26E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IAYQ42VQRWQTZBDH4MABOVJ26E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IAYQ42VQRWQTZBDH4MABOVJ26E","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":"4b11d51f051a4c4bcbac2ad124a66d3e5f5f3552e7fa3fb7cb5eb68c03999e35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2015-02-25T19:17:41Z","title_canon_sha256":"de7284eef1e420aa46c3fd23f3138292111536b6e84b3e97f26e081ca4a663c0"},"schema_version":"1.0","source":{"id":"1502.07251","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07251","created_at":"2026-05-18T01:35:32Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07251v5","created_at":"2026-05-18T01:35:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07251","created_at":"2026-05-18T01:35:32Z"},{"alias_kind":"pith_short_12","alias_value":"IAYQ42VQRWQT","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IAYQ42VQRWQTZBDH","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IAYQ42VQ","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:ee2119a57b972f7e7f8685f50d4aea7edfc241efec3596ec24060b6ce64a5b60","target":"graph","created_at":"2026-05-18T01:35:32Z","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":"The law of mass action is used widely. The law of mass action does not automatically conserve current, as is clear from mathematics of a simple case, chosen to illustrate the issues. The law of mass action does not force a series of chemical reactions to have the same current flow everywhere. Interruption of far-away current does not stop current everywhere in a series of chemical reactions, and so does not obey Maxwell equations. An additional constraint and equation is needed to enforce the global continuity of current flow. The additional constraint is introduced in this paper in the specia","authors_text":"Bob Eisenberg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2015-02-25T19:17:41Z","title":"Mass Action and Conservation of Current"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07251","kind":"arxiv","version":5},"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:b74b0078c1a0a155b1bfbd825377ab98116e026e0f7d1125cad4e133e37a858e","target":"record","created_at":"2026-05-18T01:35:32Z","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":"4b11d51f051a4c4bcbac2ad124a66d3e5f5f3552e7fa3fb7cb5eb68c03999e35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2015-02-25T19:17:41Z","title_canon_sha256":"de7284eef1e420aa46c3fd23f3138292111536b6e84b3e97f26e081ca4a663c0"},"schema_version":"1.0","source":{"id":"1502.07251","kind":"arxiv","version":5}},"canonical_sha256":"40310e6ab08da13c8467e30017553af1119bc9af4ad288ee1fe43a3d88aa4ce4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40310e6ab08da13c8467e30017553af1119bc9af4ad288ee1fe43a3d88aa4ce4","first_computed_at":"2026-05-18T01:35:32.322331Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:32.322331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jViove2e8MLilckXZnCrKQuIB7euedBvS2fgGMgjliOhnZBQAGa/b1KmVB3V3NYXMsBJIiSTsi1g+m1udgdpBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:32.322849Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.07251","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b74b0078c1a0a155b1bfbd825377ab98116e026e0f7d1125cad4e133e37a858e","sha256:ee2119a57b972f7e7f8685f50d4aea7edfc241efec3596ec24060b6ce64a5b60"],"state_sha256":"9c849a54a78b31efae6ce05e3ece6882eb49bef16736cf335a246e41a8b85366"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7b/8++7B7VOlsJe1C60hEVYwma6Gs7T2kOa4nUu1O+4S6pHGUrc6I7aToVP/vY6tFqAiRddM1EVcahvWFGhJCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:31:52.088425Z","bundle_sha256":"7795dffa9136d65569036a8a1537c1095b12dbc6d250f4eee46975fe34adc580"}}