{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:MAQU6EBV6TPZRV24536GSGM4Z2","short_pith_number":"pith:MAQU6EBV","schema_version":"1.0","canonical_sha256":"60214f1035f4df98d75ceefc69199ccebfbf5a6c305239f233f995fefdc953b5","source":{"kind":"arxiv","id":"1009.2058","version":1},"attestation_state":"computed","paper":{"title":"Lattice Multiverse Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"S. Gill Williamson","submitted_at":"2010-09-10T17:15:13Z","abstract_excerpt":"Will the cosmological multiverse, when described mathematically, have easily stated properties that are impossible to prove or disprove using mathematical physics? We explore this question by constructing lattice multiverses which exhibit such behavior even though they are much simpler mathematically than any likely cosmological multiverse."},"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":"1009.2058","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-10T17:15:13Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"26761ac7b5860795370244bb09f21a2e0096f5081847975eb6accc56d07dbd60","abstract_canon_sha256":"fc6abb4b67acab8f44301a104c4938c8e18303b7c5b4dc96596a25dc806e0742"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:05.529729Z","signature_b64":"+qt/t9XqyzsqYaNrjOO/hLl01v236AUG6nV/P96JTVp1gOz1iuNQKVGsyyRclfw310viFzfEEz0zrTJ1GtKmAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60214f1035f4df98d75ceefc69199ccebfbf5a6c305239f233f995fefdc953b5","last_reissued_at":"2026-05-18T04:41:05.529299Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:05.529299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lattice Multiverse Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"S. Gill Williamson","submitted_at":"2010-09-10T17:15:13Z","abstract_excerpt":"Will the cosmological multiverse, when described mathematically, have easily stated properties that are impossible to prove or disprove using mathematical physics? We explore this question by constructing lattice multiverses which exhibit such behavior even though they are much simpler mathematically than any likely cosmological multiverse."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2058","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":"1009.2058","created_at":"2026-05-18T04:41:05.529382+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.2058v1","created_at":"2026-05-18T04:41:05.529382+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2058","created_at":"2026-05-18T04:41:05.529382+00:00"},{"alias_kind":"pith_short_12","alias_value":"MAQU6EBV6TPZ","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"MAQU6EBV6TPZRV24","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"MAQU6EBV","created_at":"2026-05-18T12:26:10.704358+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/MAQU6EBV6TPZRV24536GSGM4Z2","json":"https://pith.science/pith/MAQU6EBV6TPZRV24536GSGM4Z2.json","graph_json":"https://pith.science/api/pith-number/MAQU6EBV6TPZRV24536GSGM4Z2/graph.json","events_json":"https://pith.science/api/pith-number/MAQU6EBV6TPZRV24536GSGM4Z2/events.json","paper":"https://pith.science/paper/MAQU6EBV"},"agent_actions":{"view_html":"https://pith.science/pith/MAQU6EBV6TPZRV24536GSGM4Z2","download_json":"https://pith.science/pith/MAQU6EBV6TPZRV24536GSGM4Z2.json","view_paper":"https://pith.science/paper/MAQU6EBV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.2058&json=true","fetch_graph":"https://pith.science/api/pith-number/MAQU6EBV6TPZRV24536GSGM4Z2/graph.json","fetch_events":"https://pith.science/api/pith-number/MAQU6EBV6TPZRV24536GSGM4Z2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MAQU6EBV6TPZRV24536GSGM4Z2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MAQU6EBV6TPZRV24536GSGM4Z2/action/storage_attestation","attest_author":"https://pith.science/pith/MAQU6EBV6TPZRV24536GSGM4Z2/action/author_attestation","sign_citation":"https://pith.science/pith/MAQU6EBV6TPZRV24536GSGM4Z2/action/citation_signature","submit_replication":"https://pith.science/pith/MAQU6EBV6TPZRV24536GSGM4Z2/action/replication_record"}},"created_at":"2026-05-18T04:41:05.529382+00:00","updated_at":"2026-05-18T04:41:05.529382+00:00"}