{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:5MK4VSHCYUE7AHXLHEX3AYYXJ6","short_pith_number":"pith:5MK4VSHC","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"},"canonical_sha256":"eb15cac8e2c509f01eeb392fb063174f912b3f7730aa63aefe3275d81a98e876","source":{"kind":"arxiv","id":"1201.0069","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0069","created_at":"2026-05-18T04:05:26Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0069v1","created_at":"2026-05-18T04:05:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0069","created_at":"2026-05-18T04:05:26Z"},{"alias_kind":"pith_short_12","alias_value":"5MK4VSHCYUE7","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5MK4VSHCYUE7AHXL","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5MK4VSHC","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:5MK4VSHCYUE7AHXLHEX3AYYXJ6","target":"record","payload":{"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"},"canonical_sha256":"eb15cac8e2c509f01eeb392fb063174f912b3f7730aa63aefe3275d81a98e876","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"},"source_kind":"arxiv","source_id":"1201.0069","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":"2026-05-18T04:05:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1SRLW5MSXGtHnycrKCsYe9TlDt85hIjEOwtrSj8st/Hod1TrIh2JtvTSDQUSgKwt6nCHtDQCLWzNOsAy2STDCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:34:21.143812Z"},"content_sha256":"ff43c581e9a54c787efc55e67d0d33be9ab6b9a0da602e32f8a8bdcd7e205970","schema_version":"1.0","event_id":"sha256:ff43c581e9a54c787efc55e67d0d33be9ab6b9a0da602e32f8a8bdcd7e205970"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:5MK4VSHCYUE7AHXLHEX3AYYXJ6","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:05:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"06VPUjIZ52/dOkRhEJ4zun5GyMqyigRAONWPSEUW7Uz+7cECo3Sy+uG+HJEmtbbVPBW2p6xYmJ7szRmtybhBBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:34:21.144490Z"},"content_sha256":"aaba416e247fac75f18097de7082e729dbd0499bb192621822a34f2c73dc9aee","schema_version":"1.0","event_id":"sha256:aaba416e247fac75f18097de7082e729dbd0499bb192621822a34f2c73dc9aee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6/bundle.json","state_url":"https://pith.science/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6/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":"2026-06-04T20:34:21Z","links":{"resolver":"https://pith.science/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6","bundle":"https://pith.science/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6/bundle.json","state":"https://pith.science/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5MK4VSHCYUE7AHXLHEX3AYYXJ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5MK4VSHCYUE7AHXLHEX3AYYXJ6","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":"16423f6ce1d3d4b5b4b48bd6357217629bdfa80e44764684a7603f0a1399e758","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-12-30T06:01:28Z","title_canon_sha256":"da2fe75c505722c9dbdf8bc01f47815ebf19895b74a0a2cb326448fd31e24cf5"},"schema_version":"1.0","source":{"id":"1201.0069","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0069","created_at":"2026-05-18T04:05:26Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0069v1","created_at":"2026-05-18T04:05:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0069","created_at":"2026-05-18T04:05:26Z"},{"alias_kind":"pith_short_12","alias_value":"5MK4VSHCYUE7","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5MK4VSHCYUE7AHXL","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5MK4VSHC","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:aaba416e247fac75f18097de7082e729dbd0499bb192621822a34f2c73dc9aee","target":"graph","created_at":"2026-05-18T04:05:26Z","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":"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","authors_text":"Chi-Lun Lee, Yiing-Rei Chen","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-12-30T06:01:28Z","title":"Gibbs paradox and a possible mechanism of like-charge attraction in colloids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0069","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:ff43c581e9a54c787efc55e67d0d33be9ab6b9a0da602e32f8a8bdcd7e205970","target":"record","created_at":"2026-05-18T04:05:26Z","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":"16423f6ce1d3d4b5b4b48bd6357217629bdfa80e44764684a7603f0a1399e758","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-12-30T06:01:28Z","title_canon_sha256":"da2fe75c505722c9dbdf8bc01f47815ebf19895b74a0a2cb326448fd31e24cf5"},"schema_version":"1.0","source":{"id":"1201.0069","kind":"arxiv","version":1}},"canonical_sha256":"eb15cac8e2c509f01eeb392fb063174f912b3f7730aa63aefe3275d81a98e876","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb15cac8e2c509f01eeb392fb063174f912b3f7730aa63aefe3275d81a98e876","first_computed_at":"2026-05-18T04:05:26.350676Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:26.350676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OD8xgBeZ5xUaTqfgCVp4g903BQyhzMpKYgx2hxQAINKfHau1oFVMoJKwfh+q21MQAheMOZWJ1Vm/QabTempbCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:26.351184Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0069","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff43c581e9a54c787efc55e67d0d33be9ab6b9a0da602e32f8a8bdcd7e205970","sha256:aaba416e247fac75f18097de7082e729dbd0499bb192621822a34f2c73dc9aee"],"state_sha256":"ce48bcd82461582b0dabcbc8d6d19789303e682882179d8f344e728f646bdb01"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WErvhWmeI6jlR90LqvnxHjmtwojl+6gmfPhp4FdaVvUE8hEIGDfJJZVqmJiaJrwGwgGBI4s1FlQl99iTHz51BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T20:34:21.148129Z","bundle_sha256":"7ea14b6bdd55172d7b813be1d48f95ccb2c1180e8da42a17829e10d519653d49"}}