{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:PFUUVCRELXORO7I6XL5US4F7JA","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":"156e7d0a87826c6eb64d61ad38d62d2ad4699fc510a1b0cf0d0a94dc04ba610d","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-01-06T09:27:22Z","title_canon_sha256":"1723c0964413bf7c5b218abe504e05ad16a384ac6e37292ac10685ee81f5f59a"},"schema_version":"1.0","source":{"id":"1401.1018","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.1018","created_at":"2026-05-18T02:39:23Z"},{"alias_kind":"arxiv_version","alias_value":"1401.1018v3","created_at":"2026-05-18T02:39:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.1018","created_at":"2026-05-18T02:39:23Z"},{"alias_kind":"pith_short_12","alias_value":"PFUUVCRELXOR","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PFUUVCRELXORO7I6","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PFUUVCRE","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:7cd567ee8ec4b8b16fff103d2d42278285d3b5d94c473b32f82d4d4719adb55a","target":"graph","created_at":"2026-05-18T02:39:23Z","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":"A new protocol for linearization of the Poisson-Boltzmann equation is proposed and the resultant electrostatic equation coincides formally with the Debye-Huckel equation, the solution of which is well known for many electrostatic problems. The protocol is examined on the example of electrostatically stabilized nano-bubbles and it is shown that stable nano-bubbles could be present in aqueous solutions of anionic surfactants near the critical temperature, if the surface potential is constant. At constant surface charge non nano-bubble could exist.","authors_text":"R. Tsekov","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-01-06T09:27:22Z","title":"A novel protocol for linearization of the Poisson-Boltzmann equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.1018","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":"sha256:833f8993ea2838d40b9fa51386db520d9358ceaacf1082ad20f4fe097ee3aa41","target":"record","created_at":"2026-05-18T02:39:23Z","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":"156e7d0a87826c6eb64d61ad38d62d2ad4699fc510a1b0cf0d0a94dc04ba610d","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-01-06T09:27:22Z","title_canon_sha256":"1723c0964413bf7c5b218abe504e05ad16a384ac6e37292ac10685ee81f5f59a"},"schema_version":"1.0","source":{"id":"1401.1018","kind":"arxiv","version":3}},"canonical_sha256":"79694a8a245ddd177d1ebafb4970bf480cba30e6d773785afba66dea0257bd31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79694a8a245ddd177d1ebafb4970bf480cba30e6d773785afba66dea0257bd31","first_computed_at":"2026-05-18T02:39:23.906623Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:23.906623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nfh6kyC18nvKK/5+3XVzvO07eIxFhB9BNZvZMxsDjuXoNBsTyqHovmjWhqMbQ+jYMcuRx0BpY1Im18J9oQLiCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:23.907014Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.1018","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:833f8993ea2838d40b9fa51386db520d9358ceaacf1082ad20f4fe097ee3aa41","sha256:7cd567ee8ec4b8b16fff103d2d42278285d3b5d94c473b32f82d4d4719adb55a"],"state_sha256":"ca9d0aaad88d05e8cb05dbacdd281bd92b3c77785bd1e4237e3b0fee3cf13670"}