{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:W37IZUVTTP2WRXN6O6RUCHUSTB","short_pith_number":"pith:W37IZUVT","schema_version":"1.0","canonical_sha256":"b6fe8cd2b39bf568ddbe77a3411e92987479e1bf42b1e8e4bd04a2c841a62d0b","source":{"kind":"arxiv","id":"1905.08856","version":1},"attestation_state":"computed","paper":{"title":"Distributed Pattern Formation in a Ring","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["cs.DS","cs.SI"],"primary_cat":"cs.DC","authors_text":"Anne-Laure Ehresmann, Jaroslav Opatrny, Lata Narayanan, Manuel Lafond","submitted_at":"2019-05-21T20:21:31Z","abstract_excerpt":"Motivated by concerns about diversity in social networks, we consider the following pattern formation problems in rings. Assume $n$ mobile agents are located at the nodes of an $n$-node ring network. Each agent is assigned a colour from the set $\\{c_1, c_2, \\ldots, c_q \\}$. The ring is divided into $k$ contiguous {\\em blocks} or neighbourhoods of length $p$. The agents are required to rearrange themselves in a distributed manner to satisfy given diversity requirements: in each block $j$ and for each colour $c_i$, there must be exactly $n_i(j) >0$ agents of colour $c_i$ in block $j$. Agents are"},"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":"1905.08856","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.DC","submitted_at":"2019-05-21T20:21:31Z","cross_cats_sorted":["cs.DS","cs.SI"],"title_canon_sha256":"8eb8090c071059756678f66449682fbc301fdff76f4523376bf2e20d866a3158","abstract_canon_sha256":"833e0b81d6b94081f9f20cb8c7e7bc3b9b96aab37fe6ed234c909acd19e2ecae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:25.051813Z","signature_b64":"wbSGjx+e17DpRJJfqmMBEBxvSgeGxP19n47CKMagn9Ce/4fziTAj5ZnTGt8qOz6T/4KZ1rpx23SFAPUX8XFHAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6fe8cd2b39bf568ddbe77a3411e92987479e1bf42b1e8e4bd04a2c841a62d0b","last_reissued_at":"2026-05-17T23:45:25.051378Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:25.051378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Distributed Pattern Formation in a Ring","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["cs.DS","cs.SI"],"primary_cat":"cs.DC","authors_text":"Anne-Laure Ehresmann, Jaroslav Opatrny, Lata Narayanan, Manuel Lafond","submitted_at":"2019-05-21T20:21:31Z","abstract_excerpt":"Motivated by concerns about diversity in social networks, we consider the following pattern formation problems in rings. Assume $n$ mobile agents are located at the nodes of an $n$-node ring network. Each agent is assigned a colour from the set $\\{c_1, c_2, \\ldots, c_q \\}$. The ring is divided into $k$ contiguous {\\em blocks} or neighbourhoods of length $p$. The agents are required to rearrange themselves in a distributed manner to satisfy given diversity requirements: in each block $j$ and for each colour $c_i$, there must be exactly $n_i(j) >0$ agents of colour $c_i$ in block $j$. Agents are"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.08856","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1905.08856","created_at":"2026-05-17T23:45:25.051447+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.08856v1","created_at":"2026-05-17T23:45:25.051447+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.08856","created_at":"2026-05-17T23:45:25.051447+00:00"},{"alias_kind":"pith_short_12","alias_value":"W37IZUVTTP2W","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"W37IZUVTTP2WRXN6","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"W37IZUVT","created_at":"2026-05-18T12:33:30.264802+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/W37IZUVTTP2WRXN6O6RUCHUSTB","json":"https://pith.science/pith/W37IZUVTTP2WRXN6O6RUCHUSTB.json","graph_json":"https://pith.science/api/pith-number/W37IZUVTTP2WRXN6O6RUCHUSTB/graph.json","events_json":"https://pith.science/api/pith-number/W37IZUVTTP2WRXN6O6RUCHUSTB/events.json","paper":"https://pith.science/paper/W37IZUVT"},"agent_actions":{"view_html":"https://pith.science/pith/W37IZUVTTP2WRXN6O6RUCHUSTB","download_json":"https://pith.science/pith/W37IZUVTTP2WRXN6O6RUCHUSTB.json","view_paper":"https://pith.science/paper/W37IZUVT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.08856&json=true","fetch_graph":"https://pith.science/api/pith-number/W37IZUVTTP2WRXN6O6RUCHUSTB/graph.json","fetch_events":"https://pith.science/api/pith-number/W37IZUVTTP2WRXN6O6RUCHUSTB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W37IZUVTTP2WRXN6O6RUCHUSTB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W37IZUVTTP2WRXN6O6RUCHUSTB/action/storage_attestation","attest_author":"https://pith.science/pith/W37IZUVTTP2WRXN6O6RUCHUSTB/action/author_attestation","sign_citation":"https://pith.science/pith/W37IZUVTTP2WRXN6O6RUCHUSTB/action/citation_signature","submit_replication":"https://pith.science/pith/W37IZUVTTP2WRXN6O6RUCHUSTB/action/replication_record"}},"created_at":"2026-05-17T23:45:25.051447+00:00","updated_at":"2026-05-17T23:45:25.051447+00:00"}