{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VNVREIELVYYB3DSRJW2F7PGKMO","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":"705156f33966a936bc27180051a20bcbe1def30494aea46bff8ce72a0e0232d8","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-06-19T20:09:12Z","title_canon_sha256":"ed3bab7e21bd2cc4d319fb29c5421acad7d3e44a610271a76502f956292ef085"},"schema_version":"1.0","source":{"id":"1106.3776","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3776","created_at":"2026-05-18T03:30:42Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3776v2","created_at":"2026-05-18T03:30:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3776","created_at":"2026-05-18T03:30:42Z"},{"alias_kind":"pith_short_12","alias_value":"VNVREIELVYYB","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VNVREIELVYYB3DSR","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VNVREIEL","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:6c5657545fbcba54fd68aa44428664788861c76c7100a720dd267da2515b606b","target":"graph","created_at":"2026-05-18T03:30:42Z","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 present an extension of the Edwards model for conformations of individual chain molecules in solvents in terms of fractional Brownian motion, and discuss the excluded volume effect on the end-to-end length of such trajectories or molecules.","authors_text":"Jinky Bornales, Ludwig Streit, Maria Jo\\~ao Oliveira","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-06-19T20:09:12Z","title":"Self-repelling fractional Brownian motion - a generalized Edwards model for chain polymers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3776","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":"sha256:9ef36df99ae0ba6b147baf19fc5011037f3662e26ac2c899b1d6b37b0b3cf719","target":"record","created_at":"2026-05-18T03:30:42Z","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":"705156f33966a936bc27180051a20bcbe1def30494aea46bff8ce72a0e0232d8","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-06-19T20:09:12Z","title_canon_sha256":"ed3bab7e21bd2cc4d319fb29c5421acad7d3e44a610271a76502f956292ef085"},"schema_version":"1.0","source":{"id":"1106.3776","kind":"arxiv","version":2}},"canonical_sha256":"ab6b12208bae301d8e514db45fbcca63a326c0b1c9d8b71c46226684066d73c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab6b12208bae301d8e514db45fbcca63a326c0b1c9d8b71c46226684066d73c8","first_computed_at":"2026-05-18T03:30:42.519974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:42.519974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XRhNzx8/EpRLiGPdthmLelrqrfQXPmZHZWhuMaaz2aSbElHCT3F5/Nr70kDzBWo1FBC1VkRiRoafI+LEu+IcAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:42.520620Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.3776","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ef36df99ae0ba6b147baf19fc5011037f3662e26ac2c899b1d6b37b0b3cf719","sha256:6c5657545fbcba54fd68aa44428664788861c76c7100a720dd267da2515b606b"],"state_sha256":"a8ffe5cd1460f56f156d6ddb45ea5bf72b14b8f782106a7c1b0ea5fba4479876"}