{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:APZ2JUTZM75XKIUPBOIS4Y433X","short_pith_number":"pith:APZ2JUTZ","canonical_record":{"source":{"id":"cond-mat/0307326","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2003-07-14T14:48:05Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"7c01dd10e5f3d475edc3a620f9b033373a7e84d966f38c6b1f1bb34a4f4e6702","abstract_canon_sha256":"df641f565b13a6a1f8222a3ca59dea24c5c879d779b407f1a487494b0263518a"},"schema_version":"1.0"},"canonical_sha256":"03f3a4d27967fb75228f0b912e639bddf2d4ef68637fe84272d263145d8efa2f","source":{"kind":"arxiv","id":"cond-mat/0307326","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0307326","created_at":"2026-07-04T14:20:14Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0307326v1","created_at":"2026-07-04T14:20:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0307326","created_at":"2026-07-04T14:20:14Z"},{"alias_kind":"pith_short_12","alias_value":"APZ2JUTZM75X","created_at":"2026-07-04T14:20:14Z"},{"alias_kind":"pith_short_16","alias_value":"APZ2JUTZM75XKIUP","created_at":"2026-07-04T14:20:14Z"},{"alias_kind":"pith_short_8","alias_value":"APZ2JUTZ","created_at":"2026-07-04T14:20:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:APZ2JUTZM75XKIUPBOIS4Y433X","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0307326","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2003-07-14T14:48:05Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"7c01dd10e5f3d475edc3a620f9b033373a7e84d966f38c6b1f1bb34a4f4e6702","abstract_canon_sha256":"df641f565b13a6a1f8222a3ca59dea24c5c879d779b407f1a487494b0263518a"},"schema_version":"1.0"},"canonical_sha256":"03f3a4d27967fb75228f0b912e639bddf2d4ef68637fe84272d263145d8efa2f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:20:14.343560Z","signature_b64":"PFF/5Rfo9IpXkPJMOQs7MfPBEu7iEXiiI41MbMENWZNlOA6TXuhB01SXnQj+xiWiJ0qX/jJ9y3wXwTMI/vsvBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03f3a4d27967fb75228f0b912e639bddf2d4ef68637fe84272d263145d8efa2f","last_reissued_at":"2026-07-04T14:20:14.343182Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:20:14.343182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0307326","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":"2026-07-04T14:20:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FCmavXCD5VHktlXj2zm9Tvqiw3Y+U2bpj9dHbdVPyqADwXeNlA1xRgB3HN8WbsA7BSAMsAZQ/Yi5Pg8nTKYMAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T02:09:22.580573Z"},"content_sha256":"5852ae330365a302175f543bdd378664ded32fd49fa5efb8858870beafaf3f54","schema_version":"1.0","event_id":"sha256:5852ae330365a302175f543bdd378664ded32fd49fa5efb8858870beafaf3f54"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:APZ2JUTZM75XKIUPBOIS4Y433X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Instabilities in complex mixtures with a large number of components","license":"","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.soft","authors_text":"Jose A. Cuesta, Richard P. Sear","submitted_at":"2003-07-14T14:48:05Z","abstract_excerpt":"Inside living cells are complex mixtures of thousands of components. It is hopeless to try to characterise all the individual interactions in these mixtures. Thus, we develop a statistical approach to approximating them, and examine the conditions under which the mixtures phase separate. The approach approximates the matrix of second virial coefficients of the mixture by a random matrix, and determines the stability of the mixture from the spectrum of such random matrices."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0307326","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0307326/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:20:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JHhSdfDkA1zh8ItuPcLTmMg1TiSWrRqpDBB+55BTwmZNdDJ8Y75TufT0f1CSlp4vWpM3LDCT3oZHoc0VicMLCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T02:09:22.581136Z"},"content_sha256":"08a990108dd2629568451cf1967b4097b60c38c3b6efe826be7a865f13d9e627","schema_version":"1.0","event_id":"sha256:08a990108dd2629568451cf1967b4097b60c38c3b6efe826be7a865f13d9e627"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/APZ2JUTZM75XKIUPBOIS4Y433X/bundle.json","state_url":"https://pith.science/pith/APZ2JUTZM75XKIUPBOIS4Y433X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/APZ2JUTZM75XKIUPBOIS4Y433X/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":"2026-08-09T02:09:22Z","links":{"resolver":"https://pith.science/pith/APZ2JUTZM75XKIUPBOIS4Y433X","bundle":"https://pith.science/pith/APZ2JUTZM75XKIUPBOIS4Y433X/bundle.json","state":"https://pith.science/pith/APZ2JUTZM75XKIUPBOIS4Y433X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/APZ2JUTZM75XKIUPBOIS4Y433X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:APZ2JUTZM75XKIUPBOIS4Y433X","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":"df641f565b13a6a1f8222a3ca59dea24c5c879d779b407f1a487494b0263518a","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2003-07-14T14:48:05Z","title_canon_sha256":"7c01dd10e5f3d475edc3a620f9b033373a7e84d966f38c6b1f1bb34a4f4e6702"},"schema_version":"1.0","source":{"id":"cond-mat/0307326","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0307326","created_at":"2026-07-04T14:20:14Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0307326v1","created_at":"2026-07-04T14:20:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0307326","created_at":"2026-07-04T14:20:14Z"},{"alias_kind":"pith_short_12","alias_value":"APZ2JUTZM75X","created_at":"2026-07-04T14:20:14Z"},{"alias_kind":"pith_short_16","alias_value":"APZ2JUTZM75XKIUP","created_at":"2026-07-04T14:20:14Z"},{"alias_kind":"pith_short_8","alias_value":"APZ2JUTZ","created_at":"2026-07-04T14:20:14Z"}],"graph_snapshots":[{"event_id":"sha256:08a990108dd2629568451cf1967b4097b60c38c3b6efe826be7a865f13d9e627","target":"graph","created_at":"2026-07-04T14:20:14Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0307326/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Inside living cells are complex mixtures of thousands of components. It is hopeless to try to characterise all the individual interactions in these mixtures. Thus, we develop a statistical approach to approximating them, and examine the conditions under which the mixtures phase separate. The approach approximates the matrix of second virial coefficients of the mixture by a random matrix, and determines the stability of the mixture from the spectrum of such random matrices.","authors_text":"Jose A. Cuesta, Richard P. Sear","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"","primary_cat":"cond-mat.soft","submitted_at":"2003-07-14T14:48:05Z","title":"Instabilities in complex mixtures with a large number of components"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0307326","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":"sha256:5852ae330365a302175f543bdd378664ded32fd49fa5efb8858870beafaf3f54","target":"record","created_at":"2026-07-04T14:20:14Z","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":"df641f565b13a6a1f8222a3ca59dea24c5c879d779b407f1a487494b0263518a","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2003-07-14T14:48:05Z","title_canon_sha256":"7c01dd10e5f3d475edc3a620f9b033373a7e84d966f38c6b1f1bb34a4f4e6702"},"schema_version":"1.0","source":{"id":"cond-mat/0307326","kind":"arxiv","version":1}},"canonical_sha256":"03f3a4d27967fb75228f0b912e639bddf2d4ef68637fe84272d263145d8efa2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03f3a4d27967fb75228f0b912e639bddf2d4ef68637fe84272d263145d8efa2f","first_computed_at":"2026-07-04T14:20:14.343182Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:20:14.343182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PFF/5Rfo9IpXkPJMOQs7MfPBEu7iEXiiI41MbMENWZNlOA6TXuhB01SXnQj+xiWiJ0qX/jJ9y3wXwTMI/vsvBg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:20:14.343560Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0307326","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5852ae330365a302175f543bdd378664ded32fd49fa5efb8858870beafaf3f54","sha256:08a990108dd2629568451cf1967b4097b60c38c3b6efe826be7a865f13d9e627"],"state_sha256":"4d60683394c0ee32aee58505c957cff4534b91ae4bb45dde26ff27c6b0b9d6ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CHxAm2HHkfjkLdez9nMi0Tj+ggOjwHjwaajZATaCotRCiOmIPaCjZ9U6naczlCaeWKa5yis7ob9Lf63aw2L+Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T02:09:22.585387Z","bundle_sha256":"756152df2e6a3d7563dd6e3567bd894174be12169fcb2fcf28e352c7b1a99df8"}}