{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3MNTEDN42L2BVZP42OY3ZZLBOP","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":"874d8d67f4b25087544da0508f0b1fca2ebe00ed48cdba60dc739c99e0020b31","cross_cats_sorted":["math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-07T03:07:56Z","title_canon_sha256":"cd0e9620d7b758e64f2c8246edcd230e907280e77acc16316c9c7503fe02aa56"},"schema_version":"1.0","source":{"id":"1201.1528","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1528","created_at":"2026-05-18T01:26:39Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1528v1","created_at":"2026-05-18T01:26:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1528","created_at":"2026-05-18T01:26:39Z"},{"alias_kind":"pith_short_12","alias_value":"3MNTEDN42L2B","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3MNTEDN42L2BVZP4","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3MNTEDN4","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:2e5fb784f1551bee32f4754894a4e4b7cf315e9d3e64733a08f0bc0526b83f8e","target":"graph","created_at":"2026-05-18T01:26:39Z","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":"When B\\\"acklund transformations are applied repeatedly to any solution of the nonlinear equations describing electrodiffusion through a liquid junction separating two infinite well-stirred layers, they give rise to quantized ionic fluxes across the junction. A particular exact solution is shown to imply that these fluxes consist of quanta of electric charge.","authors_text":"A.J. Bracken, L. Bass","cross_cats":["math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-07T03:07:56Z","title":"Planck's Other Quanta: Corpuscular Electrodiffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1528","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":"sha256:56c924530ecca46527d1d72498ea9d9ea67f08164d44333ba2b85e452fa5c79b","target":"record","created_at":"2026-05-18T01:26:39Z","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":"874d8d67f4b25087544da0508f0b1fca2ebe00ed48cdba60dc739c99e0020b31","cross_cats_sorted":["math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-07T03:07:56Z","title_canon_sha256":"cd0e9620d7b758e64f2c8246edcd230e907280e77acc16316c9c7503fe02aa56"},"schema_version":"1.0","source":{"id":"1201.1528","kind":"arxiv","version":1}},"canonical_sha256":"db1b320dbcd2f41ae5fcd3b1bce56173de62251bcf1a9e75da9c20e34980f188","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db1b320dbcd2f41ae5fcd3b1bce56173de62251bcf1a9e75da9c20e34980f188","first_computed_at":"2026-05-18T01:26:39.913636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:39.913636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZPV2iwXoCtH1AAM38V09ub4oaqqR/4TchoIkypHESlcO4OIvP2ULrZvHnNZicmPLO4emrO3p0GkDEhcSWsvHDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:39.914260Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.1528","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56c924530ecca46527d1d72498ea9d9ea67f08164d44333ba2b85e452fa5c79b","sha256:2e5fb784f1551bee32f4754894a4e4b7cf315e9d3e64733a08f0bc0526b83f8e"],"state_sha256":"2f8f1b72b692d0f2cfb57b2075dc9a4f89ed7ee6fea27a89cf0d91bb05c9a5e9"}