{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NBN6HZIG2UY3UISU3K5IBNVLQS","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":"9c04c67cd041f22e5978e7beb675c4b9cdfbd58fc403b53ab16dbb2b8abc0f13","cross_cats_sorted":["math.AP","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2026-01-07T16:39:47Z","title_canon_sha256":"9299eed867fed8efa174031e1fbcad7b3c9ba35fadc63a433fb2f1ca2a8e9c00"},"schema_version":"1.0","source":{"id":"2601.04074","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.04074","created_at":"2026-07-28T01:22:27Z"},{"alias_kind":"arxiv_version","alias_value":"2601.04074v3","created_at":"2026-07-28T01:22:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.04074","created_at":"2026-07-28T01:22:27Z"},{"alias_kind":"pith_short_12","alias_value":"NBN6HZIG2UY3","created_at":"2026-07-28T01:22:27Z"},{"alias_kind":"pith_short_16","alias_value":"NBN6HZIG2UY3UISU","created_at":"2026-07-28T01:22:27Z"},{"alias_kind":"pith_short_8","alias_value":"NBN6HZIG","created_at":"2026-07-28T01:22:27Z"}],"graph_snapshots":[{"event_id":"sha256:800a467b4f8eb652cd26e15ef5f5f25fa3debec5b273c0559855241acbf7a078","target":"graph","created_at":"2026-07-28T01:22:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2601.04074/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we propose and investigate a multi-dimensional opinion dynamics model where people are characterised by both opinions and importance weights across these opinions. Opinion changes occur through binary interactions, with a novel coupling mechanism: the change in one topic depends on the weighted similarity across the full opinion vector. We state the kinetic equation for this process and derive its mean-field partial differential equation to describe the overall dynamics. Analytical computations and numerical simulations confirm that this model exhibits a variety of qualitatively ","authors_text":"Hanna Bartel, Marie-Therese Wolfram, Martin Burger","cross_cats":["math.AP","math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2026-01-07T16:39:47Z","title":"Multi-Dimensional Opinion Formation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.04074","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":"sha256:1996ba9ca1906840d052e8379e1908aeeb7a954171901471f5a4812246c91f43","target":"record","created_at":"2026-07-28T01:22:27Z","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":"9c04c67cd041f22e5978e7beb675c4b9cdfbd58fc403b53ab16dbb2b8abc0f13","cross_cats_sorted":["math.AP","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2026-01-07T16:39:47Z","title_canon_sha256":"9299eed867fed8efa174031e1fbcad7b3c9ba35fadc63a433fb2f1ca2a8e9c00"},"schema_version":"1.0","source":{"id":"2601.04074","kind":"arxiv","version":3}},"canonical_sha256":"685be3e506d531ba2254daba80b6ab848597616e00f2cd75dbd51957bf12bd02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"685be3e506d531ba2254daba80b6ab848597616e00f2cd75dbd51957bf12bd02","first_computed_at":"2026-07-28T01:22:27.269766Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T01:22:27.269766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IzR9++LnahP3TGcDGzq9/7/Vc2JkR3OJx5nt5KkxzhJaboGeaXMUZrgU5ccbBZ7flZq3meDJkmrvWGGLa91/Cg==","signature_status":"signed_v1","signed_at":"2026-07-28T01:22:27.270675Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.04074","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1996ba9ca1906840d052e8379e1908aeeb7a954171901471f5a4812246c91f43","sha256:800a467b4f8eb652cd26e15ef5f5f25fa3debec5b273c0559855241acbf7a078"],"state_sha256":"5efc3f142e1f7805e41321055f77837eb2adb4f44d8ad7700c7381d2a555a047"}