{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:VDOGJRT3J55FLKGSB5FPJFM4HR","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":"ff32d618f12a22a84e21eb96477cc4f344fb5e5ae9e57b3fa1ceec8a581b7b4e","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2020-07-31T11:51:07Z","title_canon_sha256":"2a10a3f761cd2af4405a072aaf9bc1c68a9b73e3a22d00cd2377c55fdc54be30"},"schema_version":"1.0","source":{"id":"2007.15986","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.15986","created_at":"2026-07-05T01:32:12Z"},{"alias_kind":"arxiv_version","alias_value":"2007.15986v1","created_at":"2026-07-05T01:32:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.15986","created_at":"2026-07-05T01:32:12Z"},{"alias_kind":"pith_short_12","alias_value":"VDOGJRT3J55F","created_at":"2026-07-05T01:32:12Z"},{"alias_kind":"pith_short_16","alias_value":"VDOGJRT3J55FLKGS","created_at":"2026-07-05T01:32:12Z"},{"alias_kind":"pith_short_8","alias_value":"VDOGJRT3","created_at":"2026-07-05T01:32:12Z"}],"graph_snapshots":[{"event_id":"sha256:5d0802988f547c1efefdc24b3b478dc353f9bd8a831db64d2f0f9a79afacccf5","target":"graph","created_at":"2026-07-05T01:32:12Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2007.15986/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In some physical and biological swarms, agents effectively move and interact along curved surfaces. The associated constraints and symmetries can affect collective-motion patterns, but little is known about pattern stability in the presence of surface curvature. To make progress, we construct a general model for self-propelled swarms moving on surfaces using Lagrangian mechanics. We find that the combination of self-propulsion, friction, mutual attraction, and surface curvature produce milling patterns where each agent in a swarm oscillates on a limit cycle, with different agents splayed along","authors_text":"George Stantchev, Ira B. Schwartz, Jason Hindes, Sayomi Kamimoto, Victoria Edwards","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2020-07-31T11:51:07Z","title":"Stability of milling patterns in self-propelled swarms on surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.15986","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:ca7efe071ce31e5727dc362313eefd64d853511359589ebccc8d6e1958ec4f22","target":"record","created_at":"2026-07-05T01:32:12Z","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":"ff32d618f12a22a84e21eb96477cc4f344fb5e5ae9e57b3fa1ceec8a581b7b4e","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2020-07-31T11:51:07Z","title_canon_sha256":"2a10a3f761cd2af4405a072aaf9bc1c68a9b73e3a22d00cd2377c55fdc54be30"},"schema_version":"1.0","source":{"id":"2007.15986","kind":"arxiv","version":1}},"canonical_sha256":"a8dc64c67b4f7a55a8d20f4af4959c3c57d61ce395c7196dfd66d09aab026cd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8dc64c67b4f7a55a8d20f4af4959c3c57d61ce395c7196dfd66d09aab026cd8","first_computed_at":"2026-07-05T01:32:12.099039Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:32:12.099039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T3z4d2hTNi/qtfAq78mYKwlSxM8iD6DjTsRlo2wpa3xSgYGMn6ePpM3Ykd0oW2YflxUCRo1ofnMjZbQophnQBA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:32:12.099438Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.15986","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca7efe071ce31e5727dc362313eefd64d853511359589ebccc8d6e1958ec4f22","sha256:5d0802988f547c1efefdc24b3b478dc353f9bd8a831db64d2f0f9a79afacccf5"],"state_sha256":"2cc4d777d57590adeb1627ef79b32a7623ad8152fd8687c5ae0a644693a6e0c5"}