{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:QPINOCV6HMF6DT6HK2PDOW6MTE","short_pith_number":"pith:QPINOCV6","schema_version":"1.0","canonical_sha256":"83d0d70abe3b0be1cfc7569e375bcc99340a9248a511ece8ce4d702473cc2274","source":{"kind":"arxiv","id":"1603.05892","version":1},"attestation_state":"computed","paper":{"title":"Beyond Poisson-Boltzmann: Numerical sampling of charge density fluctuations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Fr\\'ed\\'eric Poitevin, Henri Orland, Marc Delarue","submitted_at":"2016-03-18T15:26:27Z","abstract_excerpt":"We present a method aimed at sampling charge density fluctuations in Coulomb systems. The derivation follows from a functional integral representation of the partition function in terms of charge density fluctuations. Starting from the mean-field solution given by the Poisson-Boltzmann equation, an original approach is proposed to numerically sample fluctuations around it, through the propagation of a Langevin like stochastic partial differential equation (SPDE). The diffusion tensor of the SPDE can be chosen so as to avoid the numerical complexity linked to long-range Coulomb interactions, ef"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1603.05892","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-03-18T15:26:27Z","cross_cats_sorted":[],"title_canon_sha256":"e07d7eadc385a769f347ded9281b1cd2186229cdd71d1ddb1646cc5729182234","abstract_canon_sha256":"5e41b593273bcc8bd140a2ec38fe2ca14e39f212c9745dd715ad90cc5b6b6e98"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:53.353690Z","signature_b64":"vZ+ip+taldr2JmEMRdvaGIy1qPzGc2zFbFWC4J7YE41U70p6DkRjAQzLnBqNqbA0OinxY/i2k/2e9fco6rMtBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83d0d70abe3b0be1cfc7569e375bcc99340a9248a511ece8ce4d702473cc2274","last_reissued_at":"2026-05-18T01:18:53.353135Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:53.353135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Beyond Poisson-Boltzmann: Numerical sampling of charge density fluctuations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Fr\\'ed\\'eric Poitevin, Henri Orland, Marc Delarue","submitted_at":"2016-03-18T15:26:27Z","abstract_excerpt":"We present a method aimed at sampling charge density fluctuations in Coulomb systems. The derivation follows from a functional integral representation of the partition function in terms of charge density fluctuations. Starting from the mean-field solution given by the Poisson-Boltzmann equation, an original approach is proposed to numerically sample fluctuations around it, through the propagation of a Langevin like stochastic partial differential equation (SPDE). The diffusion tensor of the SPDE can be chosen so as to avoid the numerical complexity linked to long-range Coulomb interactions, ef"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05892","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1603.05892","created_at":"2026-05-18T01:18:53.353232+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.05892v1","created_at":"2026-05-18T01:18:53.353232+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05892","created_at":"2026-05-18T01:18:53.353232+00:00"},{"alias_kind":"pith_short_12","alias_value":"QPINOCV6HMF6","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"QPINOCV6HMF6DT6H","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"QPINOCV6","created_at":"2026-05-18T12:30:41.710351+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QPINOCV6HMF6DT6HK2PDOW6MTE","json":"https://pith.science/pith/QPINOCV6HMF6DT6HK2PDOW6MTE.json","graph_json":"https://pith.science/api/pith-number/QPINOCV6HMF6DT6HK2PDOW6MTE/graph.json","events_json":"https://pith.science/api/pith-number/QPINOCV6HMF6DT6HK2PDOW6MTE/events.json","paper":"https://pith.science/paper/QPINOCV6"},"agent_actions":{"view_html":"https://pith.science/pith/QPINOCV6HMF6DT6HK2PDOW6MTE","download_json":"https://pith.science/pith/QPINOCV6HMF6DT6HK2PDOW6MTE.json","view_paper":"https://pith.science/paper/QPINOCV6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.05892&json=true","fetch_graph":"https://pith.science/api/pith-number/QPINOCV6HMF6DT6HK2PDOW6MTE/graph.json","fetch_events":"https://pith.science/api/pith-number/QPINOCV6HMF6DT6HK2PDOW6MTE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QPINOCV6HMF6DT6HK2PDOW6MTE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QPINOCV6HMF6DT6HK2PDOW6MTE/action/storage_attestation","attest_author":"https://pith.science/pith/QPINOCV6HMF6DT6HK2PDOW6MTE/action/author_attestation","sign_citation":"https://pith.science/pith/QPINOCV6HMF6DT6HK2PDOW6MTE/action/citation_signature","submit_replication":"https://pith.science/pith/QPINOCV6HMF6DT6HK2PDOW6MTE/action/replication_record"}},"created_at":"2026-05-18T01:18:53.353232+00:00","updated_at":"2026-05-18T01:18:53.353232+00:00"}