{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:5DX6EGYM5NNDBKGM5NMBLGTGPO","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":"3e64a54da5152469e846b42c47bdf7327cf4a5bf301d5111cf9a94f7839dd167","cross_cats_sorted":["cond-mat","nlin.AO","nlin.PS","patt-sol"],"license":"","primary_cat":"adap-org","submitted_at":"1995-06-08T22:35:50Z","title_canon_sha256":"395b849e5ba0fa69589dfccf2391e8f8f24bb271ba8f125858ff549ac214d211"},"schema_version":"1.0","source":{"id":"adap-org/9506001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"adap-org/9506001","created_at":"2026-05-18T01:37:43Z"},{"alias_kind":"arxiv_version","alias_value":"adap-org/9506001v1","created_at":"2026-05-18T01:37:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.adap-org/9506001","created_at":"2026-05-18T01:37:43Z"},{"alias_kind":"pith_short_12","alias_value":"5DX6EGYM5NND","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"5DX6EGYM5NNDBKGM","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"5DX6EGYM","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:79e09654e5db592c1a67f3b3a59ce0ac36619cc159ecb4f309e3e7bdcc7b5416","target":"graph","created_at":"2026-05-18T01:37:43Z","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 propose a non-equilibrium continuum dynamical model for the collective motion of large groups of biological organisms (e.g., flocks of birds, slime molds, etc.) Our model becomes highly non-trivial, and different from the equilibrium model, for $d<d_c=4$; nonetheless, we are able to determine its scaling exponents {\\it exactly} in $d=2$, and show that, unlike equilibrium systems, our model exhibits a broken continuous symmetry even in $d=2$. Our model describes a large universality class of microscopic rules, including those recently simulated by Viscek et. al.","authors_text":"John Toner(IBM T. J. Watson Research Center, Univ. of Oregon), Yuhai Tu (IBM T. J. Watson Research Center)","cross_cats":["cond-mat","nlin.AO","nlin.PS","patt-sol"],"headline":"","license":"","primary_cat":"adap-org","submitted_at":"1995-06-08T22:35:50Z","title":"How birds fly together: Long-range order in a two-dimensional dynamical XY model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"adap-org/9506001","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":"sha256:20cc1be1c8cda4ef4a732de30cc5e4ae652d369d430c53f403f84b13c2fe55dd","target":"record","created_at":"2026-05-18T01:37:43Z","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":"3e64a54da5152469e846b42c47bdf7327cf4a5bf301d5111cf9a94f7839dd167","cross_cats_sorted":["cond-mat","nlin.AO","nlin.PS","patt-sol"],"license":"","primary_cat":"adap-org","submitted_at":"1995-06-08T22:35:50Z","title_canon_sha256":"395b849e5ba0fa69589dfccf2391e8f8f24bb271ba8f125858ff549ac214d211"},"schema_version":"1.0","source":{"id":"adap-org/9506001","kind":"arxiv","version":1}},"canonical_sha256":"e8efe21b0ceb5a30a8cceb58159a667ba8bd0b7703d168b5953aa61829464352","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8efe21b0ceb5a30a8cceb58159a667ba8bd0b7703d168b5953aa61829464352","first_computed_at":"2026-05-18T01:37:43.313484Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:43.313484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HCHwFzqHW4a7bX+TBKX2ui5Ck3U+KQWkRVN+KVTeyEGVukktDcqyCp+vZtV+P4PWne2RB8Zg5vmnoBCkOUSOAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:43.314069Z","signed_message":"canonical_sha256_bytes"},"source_id":"adap-org/9506001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20cc1be1c8cda4ef4a732de30cc5e4ae652d369d430c53f403f84b13c2fe55dd","sha256:79e09654e5db592c1a67f3b3a59ce0ac36619cc159ecb4f309e3e7bdcc7b5416"],"state_sha256":"cab5894d76856cb71ef5f369f3c15593f0dd969875e894f3e95ec6f4058a7348"}