{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:R4FHELIC3F5RMXFEKXZLRLPUNA","short_pith_number":"pith:R4FHELIC","schema_version":"1.0","canonical_sha256":"8f0a722d02d97b165ca455f2b8adf46814666b58f19fcb3746e1569d4040cb17","source":{"kind":"arxiv","id":"2208.09461","version":2},"attestation_state":"computed","paper":{"title":"Non-reciprocal forces and exceptional phase transitions in metric and topological flocks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Charles Packard, Daniel M. Sussman","submitted_at":"2022-08-19T17:38:27Z","abstract_excerpt":"Many models of flocking involve alignment rules based on the mean orientation of neighboring particles, which we show introduces microscopic non-reciprocal interactions. In the absence of this microscopic non-reciprocity an exceptional phase transition is predicted at low noise strength within the Toner-Tu framework of polar aligning matter; we demonstrate this transition via large-scale numerical simulations. By coarse-graining the microscopic non-reciprocal forces found in more common models of flocking, we identify additional terms in a hydrodynamic description which lead to a highly ordere"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2208.09461","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2022-08-19T17:38:27Z","cross_cats_sorted":[],"title_canon_sha256":"38d24dc6ad623067fef816db56ba75f193f1c8329781f34ee3e94b922af76e6f","abstract_canon_sha256":"5767779c8007220189da3bc8301a505ed6c2a5e6f9702b8e8a0c6c3cbca90630"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:51:19.107888Z","signature_b64":"c6Okmam5NlXnJG4W/UChTVlol/UBjsLMRutN/gy/S/Wru/9wqYPZIyyTM5oJQiY4qjnjDeLlMjlQiuSIQXHrDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f0a722d02d97b165ca455f2b8adf46814666b58f19fcb3746e1569d4040cb17","last_reissued_at":"2026-07-05T06:51:19.107195Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:51:19.107195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-reciprocal forces and exceptional phase transitions in metric and topological flocks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Charles Packard, Daniel M. Sussman","submitted_at":"2022-08-19T17:38:27Z","abstract_excerpt":"Many models of flocking involve alignment rules based on the mean orientation of neighboring particles, which we show introduces microscopic non-reciprocal interactions. In the absence of this microscopic non-reciprocity an exceptional phase transition is predicted at low noise strength within the Toner-Tu framework of polar aligning matter; we demonstrate this transition via large-scale numerical simulations. By coarse-graining the microscopic non-reciprocal forces found in more common models of flocking, we identify additional terms in a hydrodynamic description which lead to a highly ordere"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.09461","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2208.09461/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2208.09461","created_at":"2026-07-05T06:51:19.107292+00:00"},{"alias_kind":"arxiv_version","alias_value":"2208.09461v2","created_at":"2026-07-05T06:51:19.107292+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.09461","created_at":"2026-07-05T06:51:19.107292+00:00"},{"alias_kind":"pith_short_12","alias_value":"R4FHELIC3F5R","created_at":"2026-07-05T06:51:19.107292+00:00"},{"alias_kind":"pith_short_16","alias_value":"R4FHELIC3F5RMXFE","created_at":"2026-07-05T06:51:19.107292+00:00"},{"alias_kind":"pith_short_8","alias_value":"R4FHELIC","created_at":"2026-07-05T06:51:19.107292+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.10657","citing_title":"Spatially patterned phases in a reaction-time-symmetry-broken model of flocking","ref_index":41,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/R4FHELIC3F5RMXFEKXZLRLPUNA","json":"https://pith.science/pith/R4FHELIC3F5RMXFEKXZLRLPUNA.json","graph_json":"https://pith.science/api/pith-number/R4FHELIC3F5RMXFEKXZLRLPUNA/graph.json","events_json":"https://pith.science/api/pith-number/R4FHELIC3F5RMXFEKXZLRLPUNA/events.json","paper":"https://pith.science/paper/R4FHELIC"},"agent_actions":{"view_html":"https://pith.science/pith/R4FHELIC3F5RMXFEKXZLRLPUNA","download_json":"https://pith.science/pith/R4FHELIC3F5RMXFEKXZLRLPUNA.json","view_paper":"https://pith.science/paper/R4FHELIC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2208.09461&json=true","fetch_graph":"https://pith.science/api/pith-number/R4FHELIC3F5RMXFEKXZLRLPUNA/graph.json","fetch_events":"https://pith.science/api/pith-number/R4FHELIC3F5RMXFEKXZLRLPUNA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R4FHELIC3F5RMXFEKXZLRLPUNA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R4FHELIC3F5RMXFEKXZLRLPUNA/action/storage_attestation","attest_author":"https://pith.science/pith/R4FHELIC3F5RMXFEKXZLRLPUNA/action/author_attestation","sign_citation":"https://pith.science/pith/R4FHELIC3F5RMXFEKXZLRLPUNA/action/citation_signature","submit_replication":"https://pith.science/pith/R4FHELIC3F5RMXFEKXZLRLPUNA/action/replication_record"}},"created_at":"2026-07-05T06:51:19.107292+00:00","updated_at":"2026-07-05T06:51:19.107292+00:00"}