{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:SOS3TE3EKOKI6SE7HHRE5WU6DD","short_pith_number":"pith:SOS3TE3E","canonical_record":{"source":{"id":"1911.05509","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2019-11-13T14:41:22Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"8bfb91a68e1de3fcbd3993054d21e857badb1c475b93e98b281c1e95ede7d6bb","abstract_canon_sha256":"3bab0d1bc0e0568738d8b5986258fc1d2b6c1ed6c29489a75be58c2670a427cb"},"schema_version":"1.0"},"canonical_sha256":"93a5b9936453948f489f39e24eda9e18dcfc5721b0c0af9a3986b9be286dd7c0","source":{"kind":"arxiv","id":"1911.05509","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.05509","created_at":"2026-07-05T08:08:36Z"},{"alias_kind":"arxiv_version","alias_value":"1911.05509v3","created_at":"2026-07-05T08:08:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.05509","created_at":"2026-07-05T08:08:36Z"},{"alias_kind":"pith_short_12","alias_value":"SOS3TE3EKOKI","created_at":"2026-07-05T08:08:36Z"},{"alias_kind":"pith_short_16","alias_value":"SOS3TE3EKOKI6SE7","created_at":"2026-07-05T08:08:36Z"},{"alias_kind":"pith_short_8","alias_value":"SOS3TE3E","created_at":"2026-07-05T08:08:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:SOS3TE3EKOKI6SE7HHRE5WU6DD","target":"record","payload":{"canonical_record":{"source":{"id":"1911.05509","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2019-11-13T14:41:22Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"8bfb91a68e1de3fcbd3993054d21e857badb1c475b93e98b281c1e95ede7d6bb","abstract_canon_sha256":"3bab0d1bc0e0568738d8b5986258fc1d2b6c1ed6c29489a75be58c2670a427cb"},"schema_version":"1.0"},"canonical_sha256":"93a5b9936453948f489f39e24eda9e18dcfc5721b0c0af9a3986b9be286dd7c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:08:36.874564Z","signature_b64":"2ig/gLVia9+4RFuSZJIPHUULp/EQsUTxqmYHSMfEgfo4Qj/JsybdusMYrBytPiM37rYU9v0AV6QYSc0sCqlKCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93a5b9936453948f489f39e24eda9e18dcfc5721b0c0af9a3986b9be286dd7c0","last_reissued_at":"2026-07-05T08:08:36.874078Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:08:36.874078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1911.05509","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:08:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HJdBNDezqkJSkPYvkM/7UAZ9cJj3E7dEJJdSXHyaZpLjKR6zMEwhnzhR33PPVNOzyT2REirShbGsWaELtAXGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T12:05:10.799619Z"},"content_sha256":"a74f1bf270e61128e497cad7ef9fc747cadb5af992bb5b220afda2c2bed5b862","schema_version":"1.0","event_id":"sha256:a74f1bf270e61128e497cad7ef9fc747cadb5af992bb5b220afda2c2bed5b862"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:SOS3TE3EKOKI6SE7HHRE5WU6DD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Le probl\\`eme de la sch\\'ematisation de Grothendieck revisit\\'e","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.AG","authors_text":"Bertrand To\\\"en","submitted_at":"2019-11-13T14:41:22Z","abstract_excerpt":"The objective of this work is to reconsider the schematization problem of [6], with a particular focus on the global case over Z. For this, we prove the conjecture [Conj. 2.3.6][15] which gives a formula for the homotopy groups of the schematization of a simply connected homotopy type. We deduce from this several results on the behaviour of the schematization functor, which we propose as a solution to the schematization problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.05509","kind":"arxiv","version":3},"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/1911.05509/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":"2026-07-05T08:08:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z+yqytsVRBNpV1+L344kv8gQMjA5BEhQr+EG0tAwL8sX+Pl8eSrN8da6gf8hXbwXQ/bf69045T39PJhGf5i7BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T12:05:10.800421Z"},"content_sha256":"1865e513be6b1302d5c1f2691a7a20b2e1777b56a05304de0a1d8757dc90a31b","schema_version":"1.0","event_id":"sha256:1865e513be6b1302d5c1f2691a7a20b2e1777b56a05304de0a1d8757dc90a31b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SOS3TE3EKOKI6SE7HHRE5WU6DD/bundle.json","state_url":"https://pith.science/pith/SOS3TE3EKOKI6SE7HHRE5WU6DD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SOS3TE3EKOKI6SE7HHRE5WU6DD/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":"2026-08-13T12:05:10Z","links":{"resolver":"https://pith.science/pith/SOS3TE3EKOKI6SE7HHRE5WU6DD","bundle":"https://pith.science/pith/SOS3TE3EKOKI6SE7HHRE5WU6DD/bundle.json","state":"https://pith.science/pith/SOS3TE3EKOKI6SE7HHRE5WU6DD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SOS3TE3EKOKI6SE7HHRE5WU6DD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:SOS3TE3EKOKI6SE7HHRE5WU6DD","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":"3bab0d1bc0e0568738d8b5986258fc1d2b6c1ed6c29489a75be58c2670a427cb","cross_cats_sorted":["math.AT"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2019-11-13T14:41:22Z","title_canon_sha256":"8bfb91a68e1de3fcbd3993054d21e857badb1c475b93e98b281c1e95ede7d6bb"},"schema_version":"1.0","source":{"id":"1911.05509","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.05509","created_at":"2026-07-05T08:08:36Z"},{"alias_kind":"arxiv_version","alias_value":"1911.05509v3","created_at":"2026-07-05T08:08:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.05509","created_at":"2026-07-05T08:08:36Z"},{"alias_kind":"pith_short_12","alias_value":"SOS3TE3EKOKI","created_at":"2026-07-05T08:08:36Z"},{"alias_kind":"pith_short_16","alias_value":"SOS3TE3EKOKI6SE7","created_at":"2026-07-05T08:08:36Z"},{"alias_kind":"pith_short_8","alias_value":"SOS3TE3E","created_at":"2026-07-05T08:08:36Z"}],"graph_snapshots":[{"event_id":"sha256:1865e513be6b1302d5c1f2691a7a20b2e1777b56a05304de0a1d8757dc90a31b","target":"graph","created_at":"2026-07-05T08:08:36Z","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/1911.05509/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The objective of this work is to reconsider the schematization problem of [6], with a particular focus on the global case over Z. For this, we prove the conjecture [Conj. 2.3.6][15] which gives a formula for the homotopy groups of the schematization of a simply connected homotopy type. We deduce from this several results on the behaviour of the schematization functor, which we propose as a solution to the schematization problem.","authors_text":"Bertrand To\\\"en","cross_cats":["math.AT"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2019-11-13T14:41:22Z","title":"Le probl\\`eme de la sch\\'ematisation de Grothendieck revisit\\'e"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.05509","kind":"arxiv","version":3},"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:a74f1bf270e61128e497cad7ef9fc747cadb5af992bb5b220afda2c2bed5b862","target":"record","created_at":"2026-07-05T08:08:36Z","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":"3bab0d1bc0e0568738d8b5986258fc1d2b6c1ed6c29489a75be58c2670a427cb","cross_cats_sorted":["math.AT"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2019-11-13T14:41:22Z","title_canon_sha256":"8bfb91a68e1de3fcbd3993054d21e857badb1c475b93e98b281c1e95ede7d6bb"},"schema_version":"1.0","source":{"id":"1911.05509","kind":"arxiv","version":3}},"canonical_sha256":"93a5b9936453948f489f39e24eda9e18dcfc5721b0c0af9a3986b9be286dd7c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93a5b9936453948f489f39e24eda9e18dcfc5721b0c0af9a3986b9be286dd7c0","first_computed_at":"2026-07-05T08:08:36.874078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:08:36.874078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2ig/gLVia9+4RFuSZJIPHUULp/EQsUTxqmYHSMfEgfo4Qj/JsybdusMYrBytPiM37rYU9v0AV6QYSc0sCqlKCw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:08:36.874564Z","signed_message":"canonical_sha256_bytes"},"source_id":"1911.05509","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a74f1bf270e61128e497cad7ef9fc747cadb5af992bb5b220afda2c2bed5b862","sha256:1865e513be6b1302d5c1f2691a7a20b2e1777b56a05304de0a1d8757dc90a31b"],"state_sha256":"95c6f4df4b0e7132b5dd3e1984eff078cd14a8fd6629e3b96e9a55dd5a264eda"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gZ20G3Z3YD1P7dv2YT3mWpSmMPsVeG7TT4nVN2+lcMVJM/4Mw7o3so3xIXJ99K+aimn6VtcYm32y1iLChrRECw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T12:05:10.823086Z","bundle_sha256":"93e9ecb614317ad23287752e4607f977cd701a9fcadf742d9cb3cc3c96743218"}}