{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:Y5VIRMRGPBC77DBWUDG2BHLEO2","short_pith_number":"pith:Y5VIRMRG","canonical_record":{"source":{"id":"cond-mat/9802138","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"1998-02-12T20:14:40Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"1841950cadb889694012492fd04922825c8776090955910167683b1c052db1aa","abstract_canon_sha256":"073e467ee6bb900ceeb3772ca0ec45e09a7de8f80da441ff5ee71ec88598fb0d"},"schema_version":"1.0"},"canonical_sha256":"c76a88b2267845ff8c36a0cda09d6476ba8a1fff29d7c6a0716653f7c7b8b1ef","source":{"kind":"arxiv","id":"cond-mat/9802138","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9802138","created_at":"2026-05-18T01:39:31Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9802138v1","created_at":"2026-05-18T01:39:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9802138","created_at":"2026-05-18T01:39:31Z"},{"alias_kind":"pith_short_12","alias_value":"Y5VIRMRGPBC7","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"Y5VIRMRGPBC77DBW","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"Y5VIRMRG","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:Y5VIRMRGPBC77DBWUDG2BHLEO2","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9802138","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"1998-02-12T20:14:40Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"1841950cadb889694012492fd04922825c8776090955910167683b1c052db1aa","abstract_canon_sha256":"073e467ee6bb900ceeb3772ca0ec45e09a7de8f80da441ff5ee71ec88598fb0d"},"schema_version":"1.0"},"canonical_sha256":"c76a88b2267845ff8c36a0cda09d6476ba8a1fff29d7c6a0716653f7c7b8b1ef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:31.121088Z","signature_b64":"hB5wPFmcebVKA32gIKEc0g0zafyzLMuRk3Tc2muPiPyVaFdES2gTvbwlRHHVJuor9L4MeRZhWBi3Bmst/3hZAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c76a88b2267845ff8c36a0cda09d6476ba8a1fff29d7c6a0716653f7c7b8b1ef","last_reissued_at":"2026-05-18T01:39:31.120481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:31.120481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9802138","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":"2026-05-18T01:39:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6o5VQzdWmClSd8VSyIJl9iFJJ9IdQqW1qM0BDfPjpHnHiVFpCMfVkUzM5d/EKIM/ECUu1HpxVo4MCumgZWDcCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:21:56.349800Z"},"content_sha256":"583817269ffac82edb9da541a2531189d745c2d5ca107d4684f9a91c95ba70e1","schema_version":"1.0","event_id":"sha256:583817269ffac82edb9da541a2531189d745c2d5ca107d4684f9a91c95ba70e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:Y5VIRMRGPBC77DBWUDG2BHLEO2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Debye-Hueckel-Bjerrum theory for charged colloids","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Marcia C. Barbosa, M. N. Tamashiro, Yan Levin","submitted_at":"1998-02-12T20:14:40Z","abstract_excerpt":"We formulate an extension of the Debye-Hueckel-Bjerrum theory [M. E. Fisher and Y. Levin, Phys. Rev. Lett. 71, 3826 (1993)] to the fluid state of a highly asymmetric charged colloid. Allowing for the formation of clusters consisting of one polyion and n condensed counterions, the total Helmholtz free energy of the colloidal suspension is constructed. The thermodynamic properties, such as the cluster-density distribution and the pressure, are obtained by the minimization of the free energy under the constraints of fixed number of polyions and counterions. In agreement with the current experimen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9802138","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":"2026-05-18T01:39:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+b5HOYReeMb2OlfzRVOJdb3F3mnz0T0MypCjkTlsxMkyREIwo0cWtHl2TaHEM4Dz+Me/YgXTG0faA26lbrczCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:21:56.350461Z"},"content_sha256":"e1fb655eb1d48e2e81c71bb7b139797c0955b7f285079b5f060a0bc193aa99f3","schema_version":"1.0","event_id":"sha256:e1fb655eb1d48e2e81c71bb7b139797c0955b7f285079b5f060a0bc193aa99f3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y5VIRMRGPBC77DBWUDG2BHLEO2/bundle.json","state_url":"https://pith.science/pith/Y5VIRMRGPBC77DBWUDG2BHLEO2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y5VIRMRGPBC77DBWUDG2BHLEO2/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":"2026-05-26T04:21:56Z","links":{"resolver":"https://pith.science/pith/Y5VIRMRGPBC77DBWUDG2BHLEO2","bundle":"https://pith.science/pith/Y5VIRMRGPBC77DBWUDG2BHLEO2/bundle.json","state":"https://pith.science/pith/Y5VIRMRGPBC77DBWUDG2BHLEO2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y5VIRMRGPBC77DBWUDG2BHLEO2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:Y5VIRMRGPBC77DBWUDG2BHLEO2","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":"073e467ee6bb900ceeb3772ca0ec45e09a7de8f80da441ff5ee71ec88598fb0d","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"1998-02-12T20:14:40Z","title_canon_sha256":"1841950cadb889694012492fd04922825c8776090955910167683b1c052db1aa"},"schema_version":"1.0","source":{"id":"cond-mat/9802138","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9802138","created_at":"2026-05-18T01:39:31Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9802138v1","created_at":"2026-05-18T01:39:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9802138","created_at":"2026-05-18T01:39:31Z"},{"alias_kind":"pith_short_12","alias_value":"Y5VIRMRGPBC7","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"Y5VIRMRGPBC77DBW","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"Y5VIRMRG","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:e1fb655eb1d48e2e81c71bb7b139797c0955b7f285079b5f060a0bc193aa99f3","target":"graph","created_at":"2026-05-18T01:39:31Z","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 formulate an extension of the Debye-Hueckel-Bjerrum theory [M. E. Fisher and Y. Levin, Phys. Rev. Lett. 71, 3826 (1993)] to the fluid state of a highly asymmetric charged colloid. Allowing for the formation of clusters consisting of one polyion and n condensed counterions, the total Helmholtz free energy of the colloidal suspension is constructed. The thermodynamic properties, such as the cluster-density distribution and the pressure, are obtained by the minimization of the free energy under the constraints of fixed number of polyions and counterions. In agreement with the current experimen","authors_text":"Marcia C. Barbosa, M. N. Tamashiro, Yan Levin","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.soft","submitted_at":"1998-02-12T20:14:40Z","title":"Debye-Hueckel-Bjerrum theory for charged colloids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9802138","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":"sha256:583817269ffac82edb9da541a2531189d745c2d5ca107d4684f9a91c95ba70e1","target":"record","created_at":"2026-05-18T01:39:31Z","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":"073e467ee6bb900ceeb3772ca0ec45e09a7de8f80da441ff5ee71ec88598fb0d","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"1998-02-12T20:14:40Z","title_canon_sha256":"1841950cadb889694012492fd04922825c8776090955910167683b1c052db1aa"},"schema_version":"1.0","source":{"id":"cond-mat/9802138","kind":"arxiv","version":1}},"canonical_sha256":"c76a88b2267845ff8c36a0cda09d6476ba8a1fff29d7c6a0716653f7c7b8b1ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c76a88b2267845ff8c36a0cda09d6476ba8a1fff29d7c6a0716653f7c7b8b1ef","first_computed_at":"2026-05-18T01:39:31.120481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:31.120481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hB5wPFmcebVKA32gIKEc0g0zafyzLMuRk3Tc2muPiPyVaFdES2gTvbwlRHHVJuor9L4MeRZhWBi3Bmst/3hZAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:31.121088Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9802138","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:583817269ffac82edb9da541a2531189d745c2d5ca107d4684f9a91c95ba70e1","sha256:e1fb655eb1d48e2e81c71bb7b139797c0955b7f285079b5f060a0bc193aa99f3"],"state_sha256":"ce087c9700156f7786d01f404d9161337e6d16220db8ca2db3f28c35f4da7c7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E9Rji9eIhq0Nm7MYm0NlyqSq+WLuFT2rq3oktWi9xVcjWp0MhP/ntQpza/btRNcePeZNDWpiDTnoYE1KrbuOBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:21:56.353839Z","bundle_sha256":"1122717e6bf9198f0b8b524e3c11a9572636bced145e704cfc6829bbcc5e6940"}}