{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:BSHGGCQ3WQDT6FLW7MVYQIJ2YL","short_pith_number":"pith:BSHGGCQ3","schema_version":"1.0","canonical_sha256":"0c8e630a1bb4073f1576fb2b88213ac2f91f8f768f14b484c5c5087d8d75aa6f","source":{"kind":"arxiv","id":"2605.22499","version":1},"attestation_state":"computed","paper":{"title":"A condensed proof of the pro-\\'etale and \\'etale exodromy theorems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AG","authors_text":"Remy van Dobben de Bruyn","submitted_at":"2026-05-21T13:50:18Z","abstract_excerpt":"The exodromy correspondence of Barwick, Glasman, and Haine computes constructible sheaves of spaces on a scheme $X$ as an $\\infty$-category of continuous functors from the profinite category $\\operatorname{Gal}(X)$. Viewing $\\operatorname{Gal}(X)$ instead as a condensed category, this was extended by Wolf to an exodromy correspondence for pro-\\'etale sheaves. Using the condensed perspective from the outset, we give a quick and self-contained proof of the pro-\\'etale exodromy theorem. This is used to extract an exodromy theorem for (Postnikov complete) \\'etale sheaves that does not yet appear i"},"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":"2605.22499","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-05-21T13:50:18Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"6db59bb82d98d50245a667a2ab9cf9b4ad245f6975ca1722459308536b34d18a","abstract_canon_sha256":"71f1fb3d57687010a77ad1fcc2ab0b6a0aa206bab19f30491b7a0cd4c9550076"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T01:04:47.770748Z","signature_b64":"x6tcE6ema1WuO5ue7j9S/iJq80ReOqn703rgySH4oGnV7QcuzyXGkL0emMXIFHTP5uHx0xGnuqKvGUwTIGdMAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c8e630a1bb4073f1576fb2b88213ac2f91f8f768f14b484c5c5087d8d75aa6f","last_reissued_at":"2026-05-22T01:04:47.770118Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T01:04:47.770118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A condensed proof of the pro-\\'etale and \\'etale exodromy theorems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AG","authors_text":"Remy van Dobben de Bruyn","submitted_at":"2026-05-21T13:50:18Z","abstract_excerpt":"The exodromy correspondence of Barwick, Glasman, and Haine computes constructible sheaves of spaces on a scheme $X$ as an $\\infty$-category of continuous functors from the profinite category $\\operatorname{Gal}(X)$. Viewing $\\operatorname{Gal}(X)$ instead as a condensed category, this was extended by Wolf to an exodromy correspondence for pro-\\'etale sheaves. Using the condensed perspective from the outset, we give a quick and self-contained proof of the pro-\\'etale exodromy theorem. This is used to extract an exodromy theorem for (Postnikov complete) \\'etale sheaves that does not yet appear i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22499","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.22499/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.22499","created_at":"2026-05-22T01:04:47.770227+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.22499v1","created_at":"2026-05-22T01:04:47.770227+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22499","created_at":"2026-05-22T01:04:47.770227+00:00"},{"alias_kind":"pith_short_12","alias_value":"BSHGGCQ3WQDT","created_at":"2026-05-22T01:04:47.770227+00:00"},{"alias_kind":"pith_short_16","alias_value":"BSHGGCQ3WQDT6FLW","created_at":"2026-05-22T01:04:47.770227+00:00"},{"alias_kind":"pith_short_8","alias_value":"BSHGGCQ3","created_at":"2026-05-22T01:04:47.770227+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/BSHGGCQ3WQDT6FLW7MVYQIJ2YL","json":"https://pith.science/pith/BSHGGCQ3WQDT6FLW7MVYQIJ2YL.json","graph_json":"https://pith.science/api/pith-number/BSHGGCQ3WQDT6FLW7MVYQIJ2YL/graph.json","events_json":"https://pith.science/api/pith-number/BSHGGCQ3WQDT6FLW7MVYQIJ2YL/events.json","paper":"https://pith.science/paper/BSHGGCQ3"},"agent_actions":{"view_html":"https://pith.science/pith/BSHGGCQ3WQDT6FLW7MVYQIJ2YL","download_json":"https://pith.science/pith/BSHGGCQ3WQDT6FLW7MVYQIJ2YL.json","view_paper":"https://pith.science/paper/BSHGGCQ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.22499&json=true","fetch_graph":"https://pith.science/api/pith-number/BSHGGCQ3WQDT6FLW7MVYQIJ2YL/graph.json","fetch_events":"https://pith.science/api/pith-number/BSHGGCQ3WQDT6FLW7MVYQIJ2YL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BSHGGCQ3WQDT6FLW7MVYQIJ2YL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BSHGGCQ3WQDT6FLW7MVYQIJ2YL/action/storage_attestation","attest_author":"https://pith.science/pith/BSHGGCQ3WQDT6FLW7MVYQIJ2YL/action/author_attestation","sign_citation":"https://pith.science/pith/BSHGGCQ3WQDT6FLW7MVYQIJ2YL/action/citation_signature","submit_replication":"https://pith.science/pith/BSHGGCQ3WQDT6FLW7MVYQIJ2YL/action/replication_record"}},"created_at":"2026-05-22T01:04:47.770227+00:00","updated_at":"2026-05-22T01:04:47.770227+00:00"}