{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:HGOD7HNC7CMAM5RESCKO5KZ6HK","short_pith_number":"pith:HGOD7HNC","canonical_record":{"source":{"id":"1508.02497","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-08-11T07:18:14Z","cross_cats_sorted":[],"title_canon_sha256":"ddf4cd45788fa2cc6eb1b22f30e5c6148c3e5e458af786daabcc18abef3fa42a","abstract_canon_sha256":"0376e49147250d17955d81d289bd770f6038f30598b7c41576e96fc71f1e317a"},"schema_version":"1.0"},"canonical_sha256":"399c3f9da2f8980676249094eeab3e3ab51c3c9c786a8143c63d32ba4c5abdf1","source":{"kind":"arxiv","id":"1508.02497","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02497","created_at":"2026-05-18T01:35:26Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02497v2","created_at":"2026-05-18T01:35:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02497","created_at":"2026-05-18T01:35:26Z"},{"alias_kind":"pith_short_12","alias_value":"HGOD7HNC7CMA","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HGOD7HNC7CMAM5RE","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HGOD7HNC","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:HGOD7HNC7CMAM5RESCKO5KZ6HK","target":"record","payload":{"canonical_record":{"source":{"id":"1508.02497","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-08-11T07:18:14Z","cross_cats_sorted":[],"title_canon_sha256":"ddf4cd45788fa2cc6eb1b22f30e5c6148c3e5e458af786daabcc18abef3fa42a","abstract_canon_sha256":"0376e49147250d17955d81d289bd770f6038f30598b7c41576e96fc71f1e317a"},"schema_version":"1.0"},"canonical_sha256":"399c3f9da2f8980676249094eeab3e3ab51c3c9c786a8143c63d32ba4c5abdf1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:26.360260Z","signature_b64":"wCDCirRzJ7Ah6+yjzkuNfrnliXwD9wj2HIuSawfLrH+sz7rZAo2dCNWGo0d9fJtQp4z4fUcbr4lzKKdzx87kAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"399c3f9da2f8980676249094eeab3e3ab51c3c9c786a8143c63d32ba4c5abdf1","last_reissued_at":"2026-05-18T01:35:26.359507Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:26.359507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.02497","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A1ezLVjWdax6vcsNE1BLX5hTpi4VPTJ8VCT8J2p36v/XGiVZLGKb6+eftismFZbvExEZu6jk4nF1oobRu1DYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T19:25:41.087100Z"},"content_sha256":"f8e00d9fc37031a7895643849eb7e47ea60577cf153de5ce9f5731d014740d36","schema_version":"1.0","event_id":"sha256:f8e00d9fc37031a7895643849eb7e47ea60577cf153de5ce9f5731d014740d36"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:HGOD7HNC7CMAM5RESCKO5KZ6HK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Minority population in the one-dimensional Schelling model of segregation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DM","authors_text":"Andy Lewis-Pye, George Barmpalias, Richard Elwes","submitted_at":"2015-08-11T07:18:14Z","abstract_excerpt":"The Schelling model of segregation looks to explain the way in which a population of agents or particles of two types may come to organise itself into large homogeneous clusters, and can be seen as a variant of the Ising model in which the system is subjected to rapid cooling. While the model has been very extensively studied, the unperturbed (noiseless) version has largely resisted rigorous analysis, with most results in the literature pertaining to versions of the model in which noise is introduced into the dynamics so as to make it amenable to standard techniques from statistical mechanics "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02497","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MEhUEDfkUI+8Doh1U/D2H1ybN0okQu8D0ZLcrChzyyHvijcszT4bxJEZbvRJabaMwpUpjUo0Lr8+SrH1H4ScDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T19:25:41.087471Z"},"content_sha256":"270ce8ad1bed5b7f254a362402863edba576ab9b7912f36e0a9974cf5228aa49","schema_version":"1.0","event_id":"sha256:270ce8ad1bed5b7f254a362402863edba576ab9b7912f36e0a9974cf5228aa49"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HGOD7HNC7CMAM5RESCKO5KZ6HK/bundle.json","state_url":"https://pith.science/pith/HGOD7HNC7CMAM5RESCKO5KZ6HK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HGOD7HNC7CMAM5RESCKO5KZ6HK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-29T19:25:41Z","links":{"resolver":"https://pith.science/pith/HGOD7HNC7CMAM5RESCKO5KZ6HK","bundle":"https://pith.science/pith/HGOD7HNC7CMAM5RESCKO5KZ6HK/bundle.json","state":"https://pith.science/pith/HGOD7HNC7CMAM5RESCKO5KZ6HK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HGOD7HNC7CMAM5RESCKO5KZ6HK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HGOD7HNC7CMAM5RESCKO5KZ6HK","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":"0376e49147250d17955d81d289bd770f6038f30598b7c41576e96fc71f1e317a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-08-11T07:18:14Z","title_canon_sha256":"ddf4cd45788fa2cc6eb1b22f30e5c6148c3e5e458af786daabcc18abef3fa42a"},"schema_version":"1.0","source":{"id":"1508.02497","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02497","created_at":"2026-05-18T01:35:26Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02497v2","created_at":"2026-05-18T01:35:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02497","created_at":"2026-05-18T01:35:26Z"},{"alias_kind":"pith_short_12","alias_value":"HGOD7HNC7CMA","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HGOD7HNC7CMAM5RE","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HGOD7HNC","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:270ce8ad1bed5b7f254a362402863edba576ab9b7912f36e0a9974cf5228aa49","target":"graph","created_at":"2026-05-18T01:35:26Z","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":"The Schelling model of segregation looks to explain the way in which a population of agents or particles of two types may come to organise itself into large homogeneous clusters, and can be seen as a variant of the Ising model in which the system is subjected to rapid cooling. While the model has been very extensively studied, the unperturbed (noiseless) version has largely resisted rigorous analysis, with most results in the literature pertaining to versions of the model in which noise is introduced into the dynamics so as to make it amenable to standard techniques from statistical mechanics ","authors_text":"Andy Lewis-Pye, George Barmpalias, Richard Elwes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-08-11T07:18:14Z","title":"Minority population in the one-dimensional Schelling model of segregation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02497","kind":"arxiv","version":2},"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:f8e00d9fc37031a7895643849eb7e47ea60577cf153de5ce9f5731d014740d36","target":"record","created_at":"2026-05-18T01:35:26Z","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":"0376e49147250d17955d81d289bd770f6038f30598b7c41576e96fc71f1e317a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-08-11T07:18:14Z","title_canon_sha256":"ddf4cd45788fa2cc6eb1b22f30e5c6148c3e5e458af786daabcc18abef3fa42a"},"schema_version":"1.0","source":{"id":"1508.02497","kind":"arxiv","version":2}},"canonical_sha256":"399c3f9da2f8980676249094eeab3e3ab51c3c9c786a8143c63d32ba4c5abdf1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"399c3f9da2f8980676249094eeab3e3ab51c3c9c786a8143c63d32ba4c5abdf1","first_computed_at":"2026-05-18T01:35:26.359507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:26.359507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wCDCirRzJ7Ah6+yjzkuNfrnliXwD9wj2HIuSawfLrH+sz7rZAo2dCNWGo0d9fJtQp4z4fUcbr4lzKKdzx87kAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:26.360260Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.02497","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8e00d9fc37031a7895643849eb7e47ea60577cf153de5ce9f5731d014740d36","sha256:270ce8ad1bed5b7f254a362402863edba576ab9b7912f36e0a9974cf5228aa49"],"state_sha256":"6b8c35e0f61911d943c8c2df75af4b1c6abd2d58bea216ceaa712fe17cbd46de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sizkIbmO+hoNvgJVq+bAh0d+Dxnwv0dfH2APP0sQ14ob645+ilhCdBidw5P1jT8OeHkQqcRpRmJLiopCxy8jDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T19:25:41.090610Z","bundle_sha256":"5bdae17f2503c14a2a712d8a521d34766671bebd5f6ea67de6a7bb0ad446dce2"}}