{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:GRSF6OZ6HYJRVAPXFIBMRAEY7L","short_pith_number":"pith:GRSF6OZ6","schema_version":"1.0","canonical_sha256":"34645f3b3e3e131a81f72a02c88098faf1fb071cf074b022f8c1612af1bddd90","source":{"kind":"arxiv","id":"1802.02284","version":1},"attestation_state":"computed","paper":{"title":"$\\infty$-topoi and Natural Phenomena: Generation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CT","math.MP"],"primary_cat":"math.AG","authors_text":"Renaud Gauthier","submitted_at":"2018-02-07T01:56:05Z","abstract_excerpt":"We show that the Segal topos of derived stacks over simplicial commutative $k$-algebras, which can be used to model natural phenomena, has a subobject classifier, something we regard as being a source from which dynamics is generated. This is done by considering the $\\infty$-category associated to such a Segal topos, which turns out to be an $\\infty$-topos. At this point we have the formalism of Higher topoi at our disposal to deal with Higher Category Theory concepts in a transparent manner."},"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":"1802.02284","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-07T01:56:05Z","cross_cats_sorted":["math-ph","math.CT","math.MP"],"title_canon_sha256":"f15e97f913f5987a7d6652b7701fa5c4a82fb0181b3facac4ff5ec99c88f399c","abstract_canon_sha256":"759bd83e1030e77e099dc4b1391bbee747c7b5a69a86453afe483e69da45ded9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:08.694229Z","signature_b64":"te+TD2u24uAuVnpZE1uYY+Cl7huOgwbkoGdM157QEFlRwiIYBdL7vX7AAhsm/IZ7afrY8n5tayzs9jzzd9VQBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34645f3b3e3e131a81f72a02c88098faf1fb071cf074b022f8c1612af1bddd90","last_reissued_at":"2026-05-18T00:24:08.693630Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:08.693630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$\\infty$-topoi and Natural Phenomena: Generation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CT","math.MP"],"primary_cat":"math.AG","authors_text":"Renaud Gauthier","submitted_at":"2018-02-07T01:56:05Z","abstract_excerpt":"We show that the Segal topos of derived stacks over simplicial commutative $k$-algebras, which can be used to model natural phenomena, has a subobject classifier, something we regard as being a source from which dynamics is generated. This is done by considering the $\\infty$-category associated to such a Segal topos, which turns out to be an $\\infty$-topos. At this point we have the formalism of Higher topoi at our disposal to deal with Higher Category Theory concepts in a transparent manner."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.02284","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":"1802.02284","created_at":"2026-05-18T00:24:08.693726+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.02284v1","created_at":"2026-05-18T00:24:08.693726+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.02284","created_at":"2026-05-18T00:24:08.693726+00:00"},{"alias_kind":"pith_short_12","alias_value":"GRSF6OZ6HYJR","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"GRSF6OZ6HYJRVAPX","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"GRSF6OZ6","created_at":"2026-05-18T12:32:25.280505+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/GRSF6OZ6HYJRVAPXFIBMRAEY7L","json":"https://pith.science/pith/GRSF6OZ6HYJRVAPXFIBMRAEY7L.json","graph_json":"https://pith.science/api/pith-number/GRSF6OZ6HYJRVAPXFIBMRAEY7L/graph.json","events_json":"https://pith.science/api/pith-number/GRSF6OZ6HYJRVAPXFIBMRAEY7L/events.json","paper":"https://pith.science/paper/GRSF6OZ6"},"agent_actions":{"view_html":"https://pith.science/pith/GRSF6OZ6HYJRVAPXFIBMRAEY7L","download_json":"https://pith.science/pith/GRSF6OZ6HYJRVAPXFIBMRAEY7L.json","view_paper":"https://pith.science/paper/GRSF6OZ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.02284&json=true","fetch_graph":"https://pith.science/api/pith-number/GRSF6OZ6HYJRVAPXFIBMRAEY7L/graph.json","fetch_events":"https://pith.science/api/pith-number/GRSF6OZ6HYJRVAPXFIBMRAEY7L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GRSF6OZ6HYJRVAPXFIBMRAEY7L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GRSF6OZ6HYJRVAPXFIBMRAEY7L/action/storage_attestation","attest_author":"https://pith.science/pith/GRSF6OZ6HYJRVAPXFIBMRAEY7L/action/author_attestation","sign_citation":"https://pith.science/pith/GRSF6OZ6HYJRVAPXFIBMRAEY7L/action/citation_signature","submit_replication":"https://pith.science/pith/GRSF6OZ6HYJRVAPXFIBMRAEY7L/action/replication_record"}},"created_at":"2026-05-18T00:24:08.693726+00:00","updated_at":"2026-05-18T00:24:08.693726+00:00"}