{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:HKAQ2MNUJINDED4OHRIUQTI3PS","short_pith_number":"pith:HKAQ2MNU","schema_version":"1.0","canonical_sha256":"3a810d31b44a1a320f8e3c51484d1b7c9109211039ab3e3505fc321c62cdd71e","source":{"kind":"arxiv","id":"1307.7337","version":2},"attestation_state":"computed","paper":{"title":"Bundling in brushes of directed and semiflexible polymers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","q-bio.BM"],"primary_cat":"cond-mat.soft","authors_text":"Annette Zippelius, Eugene M. Terentjev, Panayotis Benetatos","submitted_at":"2013-07-28T06:58:01Z","abstract_excerpt":"We explore the effect of an attractive interaction between parallel-aligned polymers, which are perpendicularly grafted on a substrate. Such an attractive interaction could be due to, e.g., reversible cross-links. The competition between permanent grafting favoring a homogeneous state of the polymer brush and the attraction, which tends to induce in-plane collapse of the aligned polymers, gives rise to an instability of the homogeneous phase to a bundled state. In this latter state the in-plane translational symmetry is spontaneously broken and the density is modulated with a finite wavelength"},"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":"1307.7337","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-28T06:58:01Z","cross_cats_sorted":["cond-mat.stat-mech","q-bio.BM"],"title_canon_sha256":"6fdb882cac2e67ea5c3d746ef077761342caf388c631f9a4492140b72a305b69","abstract_canon_sha256":"90f601efcddc4760c83acfc4c62b235d9c472879f71c7761ce561d110e1307a3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:12.691667Z","signature_b64":"JLka3jvDfms0IrUCF6w0j89IA4z5ZyqTb/tLsvXjOM5ePztM/w7SfrUnghvmIV0B1EkUu87pkrZjO3Mw5qUoBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a810d31b44a1a320f8e3c51484d1b7c9109211039ab3e3505fc321c62cdd71e","last_reissued_at":"2026-05-18T03:11:12.690340Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:12.690340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bundling in brushes of directed and semiflexible polymers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","q-bio.BM"],"primary_cat":"cond-mat.soft","authors_text":"Annette Zippelius, Eugene M. Terentjev, Panayotis Benetatos","submitted_at":"2013-07-28T06:58:01Z","abstract_excerpt":"We explore the effect of an attractive interaction between parallel-aligned polymers, which are perpendicularly grafted on a substrate. Such an attractive interaction could be due to, e.g., reversible cross-links. The competition between permanent grafting favoring a homogeneous state of the polymer brush and the attraction, which tends to induce in-plane collapse of the aligned polymers, gives rise to an instability of the homogeneous phase to a bundled state. In this latter state the in-plane translational symmetry is spontaneously broken and the density is modulated with a finite wavelength"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7337","kind":"arxiv","version":2},"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":"1307.7337","created_at":"2026-05-18T03:11:12.690853+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.7337v2","created_at":"2026-05-18T03:11:12.690853+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7337","created_at":"2026-05-18T03:11:12.690853+00:00"},{"alias_kind":"pith_short_12","alias_value":"HKAQ2MNUJIND","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"HKAQ2MNUJINDED4O","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"HKAQ2MNU","created_at":"2026-05-18T12:27:46.883200+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/HKAQ2MNUJINDED4OHRIUQTI3PS","json":"https://pith.science/pith/HKAQ2MNUJINDED4OHRIUQTI3PS.json","graph_json":"https://pith.science/api/pith-number/HKAQ2MNUJINDED4OHRIUQTI3PS/graph.json","events_json":"https://pith.science/api/pith-number/HKAQ2MNUJINDED4OHRIUQTI3PS/events.json","paper":"https://pith.science/paper/HKAQ2MNU"},"agent_actions":{"view_html":"https://pith.science/pith/HKAQ2MNUJINDED4OHRIUQTI3PS","download_json":"https://pith.science/pith/HKAQ2MNUJINDED4OHRIUQTI3PS.json","view_paper":"https://pith.science/paper/HKAQ2MNU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.7337&json=true","fetch_graph":"https://pith.science/api/pith-number/HKAQ2MNUJINDED4OHRIUQTI3PS/graph.json","fetch_events":"https://pith.science/api/pith-number/HKAQ2MNUJINDED4OHRIUQTI3PS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HKAQ2MNUJINDED4OHRIUQTI3PS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HKAQ2MNUJINDED4OHRIUQTI3PS/action/storage_attestation","attest_author":"https://pith.science/pith/HKAQ2MNUJINDED4OHRIUQTI3PS/action/author_attestation","sign_citation":"https://pith.science/pith/HKAQ2MNUJINDED4OHRIUQTI3PS/action/citation_signature","submit_replication":"https://pith.science/pith/HKAQ2MNUJINDED4OHRIUQTI3PS/action/replication_record"}},"created_at":"2026-05-18T03:11:12.690853+00:00","updated_at":"2026-05-18T03:11:12.690853+00:00"}