{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7K742DFTDTWBI2RAOO2ELNZYDO","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":"600e312ffcc209d3a9c57ad292fa347a0911925c3feeb65368bd97ad954026fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-11-12T06:32:05Z","title_canon_sha256":"e76f6520d654c9bc1dcefea296760c0a89ed5622c1210cc10beccd7c5a0adf57"},"schema_version":"1.0","source":{"id":"1511.03795","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03795","created_at":"2026-05-18T01:12:07Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03795v3","created_at":"2026-05-18T01:12:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03795","created_at":"2026-05-18T01:12:07Z"},{"alias_kind":"pith_short_12","alias_value":"7K742DFTDTWB","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7K742DFTDTWBI2RA","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7K742DFT","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:58ac06a209a71a8e017e8ce818d50e2e526c24842bb6c17846918d712ca20001","target":"graph","created_at":"2026-05-18T01:12:07Z","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":"Aggregation of like-charged polymers is widely observed in biological and soft matter systems. In many systems, bundles are formed when a short-range attraction of diverse physical origin like charge-bridging, hydrogen-bonding or hydrophobic interaction, overcomes the longer- range charge repulsion. In this Letter, we present a general mechanism of bundle formation in these systems as the breaking of the translational invariance in parallel aligned polymers with competing interactions of this type. We derive a criterion for finite-sized bundle formation as well as for macroscopic phase separat","authors_text":"P. Benetatos, Sandipan Dutta, Y.S. Jho","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-11-12T06:32:05Z","title":"Bundle formation in parallel aligned polymers with competing interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03795","kind":"arxiv","version":3},"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":"sha256:4c1b8c86dfbc7ebc245a558efbefce0abe2f1ad5280357b22e2b2c727da56747","target":"record","created_at":"2026-05-18T01:12:07Z","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":"600e312ffcc209d3a9c57ad292fa347a0911925c3feeb65368bd97ad954026fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-11-12T06:32:05Z","title_canon_sha256":"e76f6520d654c9bc1dcefea296760c0a89ed5622c1210cc10beccd7c5a0adf57"},"schema_version":"1.0","source":{"id":"1511.03795","kind":"arxiv","version":3}},"canonical_sha256":"fabfcd0cb31cec146a2073b445b7381ba67b711cb0bb46fd37ff79e45719c9e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fabfcd0cb31cec146a2073b445b7381ba67b711cb0bb46fd37ff79e45719c9e0","first_computed_at":"2026-05-18T01:12:07.498529Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:07.498529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r74HRaVzezHtYP1zsW0Qzd/ZigmhdK5K/owFM5dMaU4/2k1Q6IEiXYjZt3Tn+4cu+jnJXdJscBeTIYdaHL0aAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:07.498921Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.03795","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c1b8c86dfbc7ebc245a558efbefce0abe2f1ad5280357b22e2b2c727da56747","sha256:58ac06a209a71a8e017e8ce818d50e2e526c24842bb6c17846918d712ca20001"],"state_sha256":"8740ea9daa98d098df16bbff3a009b9afdeb3d63745c91304e3ae580f2d789f5"}