{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:OPOVJ2QZ35RL63T3OKYZM7DUHA","short_pith_number":"pith:OPOVJ2QZ","canonical_record":{"source":{"id":"1612.01122","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-12-04T14:08:14Z","cross_cats_sorted":[],"title_canon_sha256":"abe674c0bd823ea56b35f70766e74b8fc4c5682305262cbe996ebf1f0c750e64","abstract_canon_sha256":"b6c687f975ec1eb06c79d31a1353b9d15f09c9408adba27d105c3c1493e7155a"},"schema_version":"1.0"},"canonical_sha256":"73dd54ea19df62bf6e7b72b1967c74382965cd65c2dbcc54c2c5b776a6a2d5db","source":{"kind":"arxiv","id":"1612.01122","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.01122","created_at":"2026-05-18T00:51:12Z"},{"alias_kind":"arxiv_version","alias_value":"1612.01122v1","created_at":"2026-05-18T00:51:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.01122","created_at":"2026-05-18T00:51:12Z"},{"alias_kind":"pith_short_12","alias_value":"OPOVJ2QZ35RL","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OPOVJ2QZ35RL63T3","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OPOVJ2QZ","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:OPOVJ2QZ35RL63T3OKYZM7DUHA","target":"record","payload":{"canonical_record":{"source":{"id":"1612.01122","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-12-04T14:08:14Z","cross_cats_sorted":[],"title_canon_sha256":"abe674c0bd823ea56b35f70766e74b8fc4c5682305262cbe996ebf1f0c750e64","abstract_canon_sha256":"b6c687f975ec1eb06c79d31a1353b9d15f09c9408adba27d105c3c1493e7155a"},"schema_version":"1.0"},"canonical_sha256":"73dd54ea19df62bf6e7b72b1967c74382965cd65c2dbcc54c2c5b776a6a2d5db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:12.865410Z","signature_b64":"YKsSYlmyexyY+uy5BCFH6tpAqdZm26iJPMEwhxzf3hCatqzB4JXNhh0lk4uVl/zjSQBNYdrUpXborYeX76NXAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73dd54ea19df62bf6e7b72b1967c74382965cd65c2dbcc54c2c5b776a6a2d5db","last_reissued_at":"2026-05-18T00:51:12.864669Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:12.864669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.01122","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":"2026-05-18T00:51:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MMwjXUiOOYn9PTLdncdfIoGyrmQjezdQazaxG5SpndliwVMWq2UpFqcJX0eZUZp1Fosx9x8Niq5IPmUd9mhiCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T08:19:14.089122Z"},"content_sha256":"6170e0fab98758beb12f48c9d61004a5ca362959d86309dbdcb6aa3d30c6cbb6","schema_version":"1.0","event_id":"sha256:6170e0fab98758beb12f48c9d61004a5ca362959d86309dbdcb6aa3d30c6cbb6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:OPOVJ2QZ35RL63T3OKYZM7DUHA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polydisperse polymer brushes: internal structure, critical behavior, and interaction with flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Alexander M. Skvortsov, Friederike Schmid, Leonid I. Klushin, Shuanhu Qi","submitted_at":"2016-12-04T14:08:14Z","abstract_excerpt":"We study the effect of polydispersity on the structure of polymer brushes by analytical theory, a numerical self-consistent field approach, and Monte Carlo simulations. The polydispersity is represented by the Schulz-Zimm chain-length distribution. We specifically focus on three different polydispersities representing sharp, moderate and extremely wide chain length distributions and derive explicit analytical expressions for the chain end distributions in these brushes. The results are in very good agreement with numerical data obtained with self-consistent field calculations and Monte Carlo s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.01122","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":"2026-05-18T00:51:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oNDBg5BHKksdTSW4dbMFyhqGxGg0GrczqubKexdbWfkBWU7ov1Yw1rwXrLcVkVcMqTZhL6FI1YjGXNffXTsBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T08:19:14.089735Z"},"content_sha256":"61e09635a624e5f58cfd6fa338312432efe7e8ef47f1e58f5b391b92c80cf275","schema_version":"1.0","event_id":"sha256:61e09635a624e5f58cfd6fa338312432efe7e8ef47f1e58f5b391b92c80cf275"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OPOVJ2QZ35RL63T3OKYZM7DUHA/bundle.json","state_url":"https://pith.science/pith/OPOVJ2QZ35RL63T3OKYZM7DUHA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OPOVJ2QZ35RL63T3OKYZM7DUHA/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":"2026-05-24T08:19:14Z","links":{"resolver":"https://pith.science/pith/OPOVJ2QZ35RL63T3OKYZM7DUHA","bundle":"https://pith.science/pith/OPOVJ2QZ35RL63T3OKYZM7DUHA/bundle.json","state":"https://pith.science/pith/OPOVJ2QZ35RL63T3OKYZM7DUHA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OPOVJ2QZ35RL63T3OKYZM7DUHA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OPOVJ2QZ35RL63T3OKYZM7DUHA","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":"b6c687f975ec1eb06c79d31a1353b9d15f09c9408adba27d105c3c1493e7155a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-12-04T14:08:14Z","title_canon_sha256":"abe674c0bd823ea56b35f70766e74b8fc4c5682305262cbe996ebf1f0c750e64"},"schema_version":"1.0","source":{"id":"1612.01122","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.01122","created_at":"2026-05-18T00:51:12Z"},{"alias_kind":"arxiv_version","alias_value":"1612.01122v1","created_at":"2026-05-18T00:51:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.01122","created_at":"2026-05-18T00:51:12Z"},{"alias_kind":"pith_short_12","alias_value":"OPOVJ2QZ35RL","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OPOVJ2QZ35RL63T3","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OPOVJ2QZ","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:61e09635a624e5f58cfd6fa338312432efe7e8ef47f1e58f5b391b92c80cf275","target":"graph","created_at":"2026-05-18T00:51:12Z","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 study the effect of polydispersity on the structure of polymer brushes by analytical theory, a numerical self-consistent field approach, and Monte Carlo simulations. The polydispersity is represented by the Schulz-Zimm chain-length distribution. We specifically focus on three different polydispersities representing sharp, moderate and extremely wide chain length distributions and derive explicit analytical expressions for the chain end distributions in these brushes. The results are in very good agreement with numerical data obtained with self-consistent field calculations and Monte Carlo s","authors_text":"Alexander M. Skvortsov, Friederike Schmid, Leonid I. Klushin, Shuanhu Qi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-12-04T14:08:14Z","title":"Polydisperse polymer brushes: internal structure, critical behavior, and interaction with flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.01122","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":"sha256:6170e0fab98758beb12f48c9d61004a5ca362959d86309dbdcb6aa3d30c6cbb6","target":"record","created_at":"2026-05-18T00:51:12Z","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":"b6c687f975ec1eb06c79d31a1353b9d15f09c9408adba27d105c3c1493e7155a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-12-04T14:08:14Z","title_canon_sha256":"abe674c0bd823ea56b35f70766e74b8fc4c5682305262cbe996ebf1f0c750e64"},"schema_version":"1.0","source":{"id":"1612.01122","kind":"arxiv","version":1}},"canonical_sha256":"73dd54ea19df62bf6e7b72b1967c74382965cd65c2dbcc54c2c5b776a6a2d5db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73dd54ea19df62bf6e7b72b1967c74382965cd65c2dbcc54c2c5b776a6a2d5db","first_computed_at":"2026-05-18T00:51:12.864669Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:12.864669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YKsSYlmyexyY+uy5BCFH6tpAqdZm26iJPMEwhxzf3hCatqzB4JXNhh0lk4uVl/zjSQBNYdrUpXborYeX76NXAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:12.865410Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.01122","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6170e0fab98758beb12f48c9d61004a5ca362959d86309dbdcb6aa3d30c6cbb6","sha256:61e09635a624e5f58cfd6fa338312432efe7e8ef47f1e58f5b391b92c80cf275"],"state_sha256":"5c1170504936bade0f0e63228175192ad65fe9566437116e2a1d985530533a3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mVjslnSvS5q4ZzquiNAbsa5h1p4OAzkAbBv9U7ZXecu9p2L2fBFF5qz8zpB/OZDItA8LSrLwTtFEhX8FsFKPDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T08:19:14.093197Z","bundle_sha256":"a85834da48c765b4bcab8554976a3cad52d63b2968dcc503c382a80cc87f3780"}}