{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XZNLWHBOBW3JJ3KFGBQZAP3QMB","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":"ce6154ba3c41e13668493e8fd7bd7fe91c6b9987fbb944fcc1af07d025e23e78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-09-28T21:51:43Z","title_canon_sha256":"84e886345200a6974619e02c59eee4ee3025f9c0c07fcf3ada6e5f654d68e743"},"schema_version":"1.0","source":{"id":"1810.00094","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00094","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00094v1","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00094","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"pith_short_12","alias_value":"XZNLWHBOBW3J","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"XZNLWHBOBW3JJ3KF","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"XZNLWHBO","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:00440edad6e184afef9d73954331c7161ac2d9b43e931607fffbe8e73e1040c8","target":"graph","created_at":"2026-05-18T00:04:28Z","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":"This is an expository paper providing an overview of the unstable motivic homotopy category using the theory of $(\\infty,1)$-categories. In this paper, we examine two constructions in the literature and discuss their equivalence.","authors_text":"Thomas Brazelton","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-09-28T21:51:43Z","title":"Constructing the Unstable Motivic Homotopy Category Using $(\\infty,1)$-Categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00094","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:fe52e9c399206c416392b2634db8875b0f034a1b1e97cfad0db6fcabfe49c003","target":"record","created_at":"2026-05-18T00:04:28Z","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":"ce6154ba3c41e13668493e8fd7bd7fe91c6b9987fbb944fcc1af07d025e23e78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-09-28T21:51:43Z","title_canon_sha256":"84e886345200a6974619e02c59eee4ee3025f9c0c07fcf3ada6e5f654d68e743"},"schema_version":"1.0","source":{"id":"1810.00094","kind":"arxiv","version":1}},"canonical_sha256":"be5abb1c2e0db694ed453061903f70607f3256ed4485b63712d16ec9caedb3a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be5abb1c2e0db694ed453061903f70607f3256ed4485b63712d16ec9caedb3a1","first_computed_at":"2026-05-18T00:04:28.811943Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:28.811943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/piHrOsaGgDMGoYDoH5ySK2YV6I3sWHFXOhmJ9UToR/+yI7lKBt1mlS0KWl2HFkVccXtzLc9d2pXUS+JnsHvCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:28.812522Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.00094","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe52e9c399206c416392b2634db8875b0f034a1b1e97cfad0db6fcabfe49c003","sha256:00440edad6e184afef9d73954331c7161ac2d9b43e931607fffbe8e73e1040c8"],"state_sha256":"460406a35a367ad4580434ee7c6b82315b626c68b7b2d74de0d0906784afd02d"}