{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:DDV62XKGGPLXYP4XFTRGFG7RMF","short_pith_number":"pith:DDV62XKG","canonical_record":{"source":{"id":"cond-mat/0209332","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2002-09-13T21:42:04Z","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","physics.chem-ph","q-bio.BM"],"title_canon_sha256":"a99c048f8fa86727a2def0fc0fbc92f8e82985424f4bc0c96b107a5bd923dd80","abstract_canon_sha256":"513ebba2678494d4015e27fb811fe1bc175061af09e13aedc2e93b2155c77142"},"schema_version":"1.0"},"canonical_sha256":"18ebed5d4633d77c3f972ce2629bf16159a04eec25bc17191bba83731dfe89cc","source":{"kind":"arxiv","id":"cond-mat/0209332","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0209332","created_at":"2026-05-18T01:06:58Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0209332v1","created_at":"2026-05-18T01:06:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0209332","created_at":"2026-05-18T01:06:58Z"},{"alias_kind":"pith_short_12","alias_value":"DDV62XKGGPLX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"DDV62XKGGPLXYP4X","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"DDV62XKG","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:DDV62XKGGPLXYP4XFTRGFG7RMF","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0209332","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2002-09-13T21:42:04Z","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","physics.chem-ph","q-bio.BM"],"title_canon_sha256":"a99c048f8fa86727a2def0fc0fbc92f8e82985424f4bc0c96b107a5bd923dd80","abstract_canon_sha256":"513ebba2678494d4015e27fb811fe1bc175061af09e13aedc2e93b2155c77142"},"schema_version":"1.0"},"canonical_sha256":"18ebed5d4633d77c3f972ce2629bf16159a04eec25bc17191bba83731dfe89cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:58.898047Z","signature_b64":"m8Yifaw3OGlFPxkRoK6wnreGxA4fe1AyrsREb2qw7atGPrDyKp7FYUworTD2ZWjqhOqeHRhj10f/uFWXj/v7DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18ebed5d4633d77c3f972ce2629bf16159a04eec25bc17191bba83731dfe89cc","last_reissued_at":"2026-05-18T01:06:58.897238Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:58.897238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0209332","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":"2026-05-18T01:06:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E7AtQvlLBA/wPu1ESHkN49lgjG79LEXwFUHIokvPfLG6/pWsF5LoSUkcVoSYNBc2YTyYe0WM7aHGpJYTUTFBAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:25:59.002445Z"},"content_sha256":"74607d8fd0de32978639f2682352320471d42b571fc6295f46caa7b764a1d41a","schema_version":"1.0","event_id":"sha256:74607d8fd0de32978639f2682352320471d42b571fc6295f46caa7b764a1d41a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:DDV62XKGGPLXYP4XFTRGFG7RMF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Raft Instability of Biopolymer Gels","license":"","headline":"","cross_cats":["cond-mat.stat-mech","physics.bio-ph","physics.chem-ph","q-bio.BM"],"primary_cat":"cond-mat.soft","authors_text":"I. Borukhov, R. F. Bruinsma (UCLA, USA)","submitted_at":"2002-09-13T21:42:04Z","abstract_excerpt":"Following recent X-ray diffraction experiments by Wong, Li, and Safinya on biopolymer gels, we apply Onsager excluded volume theory to a nematic mixture of rigid rods and strong ``$\\pi/2$'' cross-linkers obtaining a long-ranged, highly anisotropic depletion attraction between the linkers. This attraction leads to breakdown of the percolation theory for this class of gels, to breakdown of Onsager's second-order virial method, and to formation of heterogeneities in the form of raft-like ribbons."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0209332","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":"2026-05-18T01:06:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BgTCaSpnRMAk3ijmWVcd8b+qt1w6me+0iSeZL3RymUdCMxGTW4CoRW/5Yacd/hB0RQYI9MKyAaB+0aACLMBdDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:25:59.003216Z"},"content_sha256":"9438b1e03fbeafc2f918ed39ea9ba52d07c17b12d696b97809627da7619fb5ec","schema_version":"1.0","event_id":"sha256:9438b1e03fbeafc2f918ed39ea9ba52d07c17b12d696b97809627da7619fb5ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DDV62XKGGPLXYP4XFTRGFG7RMF/bundle.json","state_url":"https://pith.science/pith/DDV62XKGGPLXYP4XFTRGFG7RMF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DDV62XKGGPLXYP4XFTRGFG7RMF/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":"2026-06-05T20:25:59Z","links":{"resolver":"https://pith.science/pith/DDV62XKGGPLXYP4XFTRGFG7RMF","bundle":"https://pith.science/pith/DDV62XKGGPLXYP4XFTRGFG7RMF/bundle.json","state":"https://pith.science/pith/DDV62XKGGPLXYP4XFTRGFG7RMF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DDV62XKGGPLXYP4XFTRGFG7RMF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:DDV62XKGGPLXYP4XFTRGFG7RMF","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":"513ebba2678494d4015e27fb811fe1bc175061af09e13aedc2e93b2155c77142","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","physics.chem-ph","q-bio.BM"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2002-09-13T21:42:04Z","title_canon_sha256":"a99c048f8fa86727a2def0fc0fbc92f8e82985424f4bc0c96b107a5bd923dd80"},"schema_version":"1.0","source":{"id":"cond-mat/0209332","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0209332","created_at":"2026-05-18T01:06:58Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0209332v1","created_at":"2026-05-18T01:06:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0209332","created_at":"2026-05-18T01:06:58Z"},{"alias_kind":"pith_short_12","alias_value":"DDV62XKGGPLX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"DDV62XKGGPLXYP4X","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"DDV62XKG","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:9438b1e03fbeafc2f918ed39ea9ba52d07c17b12d696b97809627da7619fb5ec","target":"graph","created_at":"2026-05-18T01:06:58Z","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":"Following recent X-ray diffraction experiments by Wong, Li, and Safinya on biopolymer gels, we apply Onsager excluded volume theory to a nematic mixture of rigid rods and strong ``$\\pi/2$'' cross-linkers obtaining a long-ranged, highly anisotropic depletion attraction between the linkers. This attraction leads to breakdown of the percolation theory for this class of gels, to breakdown of Onsager's second-order virial method, and to formation of heterogeneities in the form of raft-like ribbons.","authors_text":"I. Borukhov, R. F. Bruinsma (UCLA, USA)","cross_cats":["cond-mat.stat-mech","physics.bio-ph","physics.chem-ph","q-bio.BM"],"headline":"","license":"","primary_cat":"cond-mat.soft","submitted_at":"2002-09-13T21:42:04Z","title":"Raft Instability of Biopolymer Gels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0209332","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":"sha256:74607d8fd0de32978639f2682352320471d42b571fc6295f46caa7b764a1d41a","target":"record","created_at":"2026-05-18T01:06:58Z","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":"513ebba2678494d4015e27fb811fe1bc175061af09e13aedc2e93b2155c77142","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","physics.chem-ph","q-bio.BM"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2002-09-13T21:42:04Z","title_canon_sha256":"a99c048f8fa86727a2def0fc0fbc92f8e82985424f4bc0c96b107a5bd923dd80"},"schema_version":"1.0","source":{"id":"cond-mat/0209332","kind":"arxiv","version":1}},"canonical_sha256":"18ebed5d4633d77c3f972ce2629bf16159a04eec25bc17191bba83731dfe89cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18ebed5d4633d77c3f972ce2629bf16159a04eec25bc17191bba83731dfe89cc","first_computed_at":"2026-05-18T01:06:58.897238Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:58.897238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m8Yifaw3OGlFPxkRoK6wnreGxA4fe1AyrsREb2qw7atGPrDyKp7FYUworTD2ZWjqhOqeHRhj10f/uFWXj/v7DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:58.898047Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0209332","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74607d8fd0de32978639f2682352320471d42b571fc6295f46caa7b764a1d41a","sha256:9438b1e03fbeafc2f918ed39ea9ba52d07c17b12d696b97809627da7619fb5ec"],"state_sha256":"c296ca034490a51a763e05728acfcb1e4135ebeb7cde010d542eff629569d293"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4gTuhhbmlbc3Vte2lWQmYmZkMv4WvyGGMC9N7DWK27BMwXBWzDbtDr2Rkr8kh1Zj6Gtj13FfDP/HyfZRpuanBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:25:59.007070Z","bundle_sha256":"4bda9527ba0aff83fad592aaf09dddb25995b20d50b80b951638b3e73fa6d4fe"}}