{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:5MK4VSHCYUE7AHXLHEX3AYYXJ6","short_pith_number":"pith:5MK4VSHC","schema_version":"1.0","canonical_sha256":"eb15cac8e2c509f01eeb392fb063174f912b3f7730aa63aefe3275d81a98e876","source":{"kind":"arxiv","id":"1201.0069","version":1},"attestation_state":"computed","paper":{"title":"Gibbs paradox and a possible mechanism of like-charge attraction in colloids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Chi-Lun Lee, Yiing-Rei Chen","submitted_at":"2011-12-30T06:01:28Z","abstract_excerpt":"Based on a reconsideration of the Gibbs paradox, we show that a residual, non-extensive term in entropy turns up upon mixing identical particles, whether they are indistinguishable or not. The positive contribution from this residual entropy leads to a decrease in free energy, and we suggest that this entropic mechanism may serve as a source of like-charge attractions between a pair of colloidal particles or other macroions. For a system of two colloidal particles along with their neutralizing counterions, such decrease in free energy is of a few thermal energies and therefore crucial to the e"},"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":"1201.0069","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-12-30T06:01:28Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"da2fe75c505722c9dbdf8bc01f47815ebf19895b74a0a2cb326448fd31e24cf5","abstract_canon_sha256":"16423f6ce1d3d4b5b4b48bd6357217629bdfa80e44764684a7603f0a1399e758"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:26.351184Z","signature_b64":"OD8xgBeZ5xUaTqfgCVp4g903BQyhzMpKYgx2hxQAINKfHau1oFVMoJKwfh+q21MQAheMOZWJ1Vm/QabTempbCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb15cac8e2c509f01eeb392fb063174f912b3f7730aa63aefe3275d81a98e876","last_reissued_at":"2026-05-18T04:05:26.350676Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:26.350676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gibbs paradox and a possible mechanism of like-charge attraction in colloids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Chi-Lun Lee, Yiing-Rei Chen","submitted_at":"2011-12-30T06:01:28Z","abstract_excerpt":"Based on a reconsideration of the Gibbs paradox, we show that a residual, non-extensive term in entropy turns up upon mixing identical particles, whether they are indistinguishable or not. The positive contribution from this residual entropy leads to a decrease in free energy, and we suggest that this entropic mechanism may serve as a source of like-charge attractions between a pair of colloidal particles or other macroions. For a system of two colloidal particles along with their neutralizing counterions, such decrease in free energy is of a few thermal energies and therefore crucial to the e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0069","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":"1201.0069","created_at":"2026-05-18T04:05:26.350758+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.0069v1","created_at":"2026-05-18T04:05:26.350758+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0069","created_at":"2026-05-18T04:05:26.350758+00:00"},{"alias_kind":"pith_short_12","alias_value":"5MK4VSHCYUE7","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"5MK4VSHCYUE7AHXL","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"5MK4VSHC","created_at":"2026-05-18T12:26:20.644004+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/5MK4VSHCYUE7AHXLHEX3AYYXJ6","json":"https://pith.science/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6.json","graph_json":"https://pith.science/api/pith-number/5MK4VSHCYUE7AHXLHEX3AYYXJ6/graph.json","events_json":"https://pith.science/api/pith-number/5MK4VSHCYUE7AHXLHEX3AYYXJ6/events.json","paper":"https://pith.science/paper/5MK4VSHC"},"agent_actions":{"view_html":"https://pith.science/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6","download_json":"https://pith.science/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6.json","view_paper":"https://pith.science/paper/5MK4VSHC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.0069&json=true","fetch_graph":"https://pith.science/api/pith-number/5MK4VSHCYUE7AHXLHEX3AYYXJ6/graph.json","fetch_events":"https://pith.science/api/pith-number/5MK4VSHCYUE7AHXLHEX3AYYXJ6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6/action/storage_attestation","attest_author":"https://pith.science/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6/action/author_attestation","sign_citation":"https://pith.science/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6/action/citation_signature","submit_replication":"https://pith.science/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6/action/replication_record"}},"created_at":"2026-05-18T04:05:26.350758+00:00","updated_at":"2026-05-18T04:05:26.350758+00:00"}