{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:TOIZDGJM23UFIGT7EJMBPKMCR7","short_pith_number":"pith:TOIZDGJM","canonical_record":{"source":{"id":"2304.10631","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-04-20T20:19:06Z","cross_cats_sorted":[],"title_canon_sha256":"680cb6b8228449995713ea3b97d8ce20dad538ec22e8fcfdf8bcc3bf462513ae","abstract_canon_sha256":"51e5019811409aefee906b861f05504f5a2c8f2832a4af5e44a393a354f6c8ea"},"schema_version":"1.0"},"canonical_sha256":"9b9191992cd6e8541a7f225817a9828fcb9c16f258e8c9fc6729a38dac2d33e5","source":{"kind":"arxiv","id":"2304.10631","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.10631","created_at":"2026-07-03T00:16:48Z"},{"alias_kind":"arxiv_version","alias_value":"2304.10631v4","created_at":"2026-07-03T00:16:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.10631","created_at":"2026-07-03T00:16:48Z"},{"alias_kind":"pith_short_12","alias_value":"TOIZDGJM23UF","created_at":"2026-07-03T00:16:48Z"},{"alias_kind":"pith_short_16","alias_value":"TOIZDGJM23UFIGT7","created_at":"2026-07-03T00:16:48Z"},{"alias_kind":"pith_short_8","alias_value":"TOIZDGJM","created_at":"2026-07-03T00:16:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:TOIZDGJM23UFIGT7EJMBPKMCR7","target":"record","payload":{"canonical_record":{"source":{"id":"2304.10631","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-04-20T20:19:06Z","cross_cats_sorted":[],"title_canon_sha256":"680cb6b8228449995713ea3b97d8ce20dad538ec22e8fcfdf8bcc3bf462513ae","abstract_canon_sha256":"51e5019811409aefee906b861f05504f5a2c8f2832a4af5e44a393a354f6c8ea"},"schema_version":"1.0"},"canonical_sha256":"9b9191992cd6e8541a7f225817a9828fcb9c16f258e8c9fc6729a38dac2d33e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-03T00:16:48.972457Z","signature_b64":"0/9n/wASO7osyT2xpdXaljtKKNOlsE9sO9ru+bspCoKeYnvgHRnj4XdMp6ekb09fEJU6138kcnTXWR0FLBrKBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b9191992cd6e8541a7f225817a9828fcb9c16f258e8c9fc6729a38dac2d33e5","last_reissued_at":"2026-07-03T00:16:48.971935Z","signature_status":"signed_v1","first_computed_at":"2026-07-03T00:16:48.971935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2304.10631","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-03T00:16:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m65N3CCU5tV2J7HEEYsDQB9Ng6ghD34bhA+9CZWYizWNXS4f1sl0TSSoCU2aZFEOnBAv33yBSDFPhLKxvujYBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T15:53:43.598650Z"},"content_sha256":"a8a98d46bca82faf4783951123b8d77b7670cde5d9f2e5895eb509fc9840dccf","schema_version":"1.0","event_id":"sha256:a8a98d46bca82faf4783951123b8d77b7670cde5d9f2e5895eb509fc9840dccf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:TOIZDGJM23UFIGT7EJMBPKMCR7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Motivic Homotopy Type of Algebraic Stacks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jack Hall, Neeraj Deshmukh","submitted_at":"2023-04-20T20:19:06Z","abstract_excerpt":"We construct smooth presentations of algebraic stacks that are local epimorphisms in the Morel-Voevodsky $\\mathbb{A}^1$-homotopy category. As a consequence we show that the motive of a smooth stack (in Voevodsky's triangulated category of motives) has many of the same properties as the motive of a smooth scheme."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.10631","kind":"arxiv","version":4},"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/2304.10631/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-03T00:16:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+EkCdwsjTFKBVGyMOYJ7+luH/Khkj0ggLVold563gqhUjD9Ri5vbRhbkIY44qqvWOSJqUzElqvRcleIylF7gBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T15:53:43.599384Z"},"content_sha256":"b83da00e4abd2f9d7474dc5644e96c83b805003050168223b7786450fedaf9fe","schema_version":"1.0","event_id":"sha256:b83da00e4abd2f9d7474dc5644e96c83b805003050168223b7786450fedaf9fe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TOIZDGJM23UFIGT7EJMBPKMCR7/bundle.json","state_url":"https://pith.science/pith/TOIZDGJM23UFIGT7EJMBPKMCR7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TOIZDGJM23UFIGT7EJMBPKMCR7/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":"2026-08-12T15:53:43Z","links":{"resolver":"https://pith.science/pith/TOIZDGJM23UFIGT7EJMBPKMCR7","bundle":"https://pith.science/pith/TOIZDGJM23UFIGT7EJMBPKMCR7/bundle.json","state":"https://pith.science/pith/TOIZDGJM23UFIGT7EJMBPKMCR7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TOIZDGJM23UFIGT7EJMBPKMCR7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:TOIZDGJM23UFIGT7EJMBPKMCR7","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":"51e5019811409aefee906b861f05504f5a2c8f2832a4af5e44a393a354f6c8ea","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-04-20T20:19:06Z","title_canon_sha256":"680cb6b8228449995713ea3b97d8ce20dad538ec22e8fcfdf8bcc3bf462513ae"},"schema_version":"1.0","source":{"id":"2304.10631","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.10631","created_at":"2026-07-03T00:16:48Z"},{"alias_kind":"arxiv_version","alias_value":"2304.10631v4","created_at":"2026-07-03T00:16:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.10631","created_at":"2026-07-03T00:16:48Z"},{"alias_kind":"pith_short_12","alias_value":"TOIZDGJM23UF","created_at":"2026-07-03T00:16:48Z"},{"alias_kind":"pith_short_16","alias_value":"TOIZDGJM23UFIGT7","created_at":"2026-07-03T00:16:48Z"},{"alias_kind":"pith_short_8","alias_value":"TOIZDGJM","created_at":"2026-07-03T00:16:48Z"}],"graph_snapshots":[{"event_id":"sha256:b83da00e4abd2f9d7474dc5644e96c83b805003050168223b7786450fedaf9fe","target":"graph","created_at":"2026-07-03T00:16:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2304.10631/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct smooth presentations of algebraic stacks that are local epimorphisms in the Morel-Voevodsky $\\mathbb{A}^1$-homotopy category. As a consequence we show that the motive of a smooth stack (in Voevodsky's triangulated category of motives) has many of the same properties as the motive of a smooth scheme.","authors_text":"Jack Hall, Neeraj Deshmukh","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-04-20T20:19:06Z","title":"On the Motivic Homotopy Type of Algebraic Stacks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.10631","kind":"arxiv","version":4},"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:a8a98d46bca82faf4783951123b8d77b7670cde5d9f2e5895eb509fc9840dccf","target":"record","created_at":"2026-07-03T00:16:48Z","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":"51e5019811409aefee906b861f05504f5a2c8f2832a4af5e44a393a354f6c8ea","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-04-20T20:19:06Z","title_canon_sha256":"680cb6b8228449995713ea3b97d8ce20dad538ec22e8fcfdf8bcc3bf462513ae"},"schema_version":"1.0","source":{"id":"2304.10631","kind":"arxiv","version":4}},"canonical_sha256":"9b9191992cd6e8541a7f225817a9828fcb9c16f258e8c9fc6729a38dac2d33e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b9191992cd6e8541a7f225817a9828fcb9c16f258e8c9fc6729a38dac2d33e5","first_computed_at":"2026-07-03T00:16:48.971935Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-03T00:16:48.971935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0/9n/wASO7osyT2xpdXaljtKKNOlsE9sO9ru+bspCoKeYnvgHRnj4XdMp6ekb09fEJU6138kcnTXWR0FLBrKBA==","signature_status":"signed_v1","signed_at":"2026-07-03T00:16:48.972457Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.10631","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8a98d46bca82faf4783951123b8d77b7670cde5d9f2e5895eb509fc9840dccf","sha256:b83da00e4abd2f9d7474dc5644e96c83b805003050168223b7786450fedaf9fe"],"state_sha256":"0b50e510cd4bf9156672632fd92a415a153416329e980f8685e56acfdf53e9c0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2qO2Fv4qvw7hsLP82v3Psu0dq9qeseytJlG8jaV/owsUY9yrmST3/PuijvokssJvoF4cD3IM6ulYITjaVrfBDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T15:53:43.604908Z","bundle_sha256":"fa84d718f48ad4be36e0f14ba5708cbda6eddf15f3dc8c4ddde7e17c27e7e2f4"}}