{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:HKAQ2MNUJINDED4OHRIUQTI3PS","short_pith_number":"pith:HKAQ2MNU","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"},"canonical_sha256":"3a810d31b44a1a320f8e3c51484d1b7c9109211039ab3e3505fc321c62cdd71e","source":{"kind":"arxiv","id":"1307.7337","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7337","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7337v2","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7337","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"pith_short_12","alias_value":"HKAQ2MNUJIND","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HKAQ2MNUJINDED4O","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HKAQ2MNU","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:HKAQ2MNUJINDED4OHRIUQTI3PS","target":"record","payload":{"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"},"canonical_sha256":"3a810d31b44a1a320f8e3c51484d1b7c9109211039ab3e3505fc321c62cdd71e","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"},"source_kind":"arxiv","source_id":"1307.7337","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:11:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nco0b9FUP6+KfAgQf5xzjt32GaEHw13jdyFS9gvIRoNMAi4U36VnB11DK+2VqU5M6wKvAu3uLnMi5ZqWXf8JCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T23:39:04.847253Z"},"content_sha256":"3a5fef1526a63df18a69f44c099c426b2df35273c3a23a7c4f95313354671420","schema_version":"1.0","event_id":"sha256:3a5fef1526a63df18a69f44c099c426b2df35273c3a23a7c4f95313354671420"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:HKAQ2MNUJINDED4OHRIUQTI3PS","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:11:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oJMBlljGlQuZGmtHD4V08hMID2dqX1U+r7U/UJzjpHWs0RoT1DFusgWlBuxNr/I6gOo5B9081Nv+XV9j3MAnBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T23:39:04.847629Z"},"content_sha256":"ec9b369ba3d04993c0178d84a3ef4342b6e44f2a453925457feaee2858a125cd","schema_version":"1.0","event_id":"sha256:ec9b369ba3d04993c0178d84a3ef4342b6e44f2a453925457feaee2858a125cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HKAQ2MNUJINDED4OHRIUQTI3PS/bundle.json","state_url":"https://pith.science/pith/HKAQ2MNUJINDED4OHRIUQTI3PS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HKAQ2MNUJINDED4OHRIUQTI3PS/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":"2026-06-22T23:39:04Z","links":{"resolver":"https://pith.science/pith/HKAQ2MNUJINDED4OHRIUQTI3PS","bundle":"https://pith.science/pith/HKAQ2MNUJINDED4OHRIUQTI3PS/bundle.json","state":"https://pith.science/pith/HKAQ2MNUJINDED4OHRIUQTI3PS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HKAQ2MNUJINDED4OHRIUQTI3PS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HKAQ2MNUJINDED4OHRIUQTI3PS","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":"90f601efcddc4760c83acfc4c62b235d9c472879f71c7761ce561d110e1307a3","cross_cats_sorted":["cond-mat.stat-mech","q-bio.BM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-28T06:58:01Z","title_canon_sha256":"6fdb882cac2e67ea5c3d746ef077761342caf388c631f9a4492140b72a305b69"},"schema_version":"1.0","source":{"id":"1307.7337","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7337","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7337v2","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7337","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"pith_short_12","alias_value":"HKAQ2MNUJIND","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HKAQ2MNUJINDED4O","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HKAQ2MNU","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:ec9b369ba3d04993c0178d84a3ef4342b6e44f2a453925457feaee2858a125cd","target":"graph","created_at":"2026-05-18T03:11:12Z","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":"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","authors_text":"Annette Zippelius, Eugene M. Terentjev, Panayotis Benetatos","cross_cats":["cond-mat.stat-mech","q-bio.BM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-28T06:58:01Z","title":"Bundling in brushes of directed and semiflexible polymers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7337","kind":"arxiv","version":2},"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":"sha256:3a5fef1526a63df18a69f44c099c426b2df35273c3a23a7c4f95313354671420","target":"record","created_at":"2026-05-18T03:11:12Z","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":"90f601efcddc4760c83acfc4c62b235d9c472879f71c7761ce561d110e1307a3","cross_cats_sorted":["cond-mat.stat-mech","q-bio.BM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-28T06:58:01Z","title_canon_sha256":"6fdb882cac2e67ea5c3d746ef077761342caf388c631f9a4492140b72a305b69"},"schema_version":"1.0","source":{"id":"1307.7337","kind":"arxiv","version":2}},"canonical_sha256":"3a810d31b44a1a320f8e3c51484d1b7c9109211039ab3e3505fc321c62cdd71e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a810d31b44a1a320f8e3c51484d1b7c9109211039ab3e3505fc321c62cdd71e","first_computed_at":"2026-05-18T03:11:12.690340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:12.690340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JLka3jvDfms0IrUCF6w0j89IA4z5ZyqTb/tLsvXjOM5ePztM/w7SfrUnghvmIV0B1EkUu87pkrZjO3Mw5qUoBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:12.691667Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.7337","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a5fef1526a63df18a69f44c099c426b2df35273c3a23a7c4f95313354671420","sha256:ec9b369ba3d04993c0178d84a3ef4342b6e44f2a453925457feaee2858a125cd"],"state_sha256":"1f2a33bfbfe5087d6aa4d49ed4071333eecbb431ccf2c958da28031d9c8bc3f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tXSCZ0+1oaqowrPSZjJqOcRWyLE5mbSl4W/Ta22g5deKP9OGrwFI19ZRth4sfCswaL5RbQ+DY18QClz7YH4wAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T23:39:04.849535Z","bundle_sha256":"62974dd9e7491e86d5ce1a1e0721d57fdae37da711f69d92aa2b0be2a675bf62"}}