{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:WZINTB3VGJFPETLN52EOXP7G5U","short_pith_number":"pith:WZINTB3V","schema_version":"1.0","canonical_sha256":"b650d98775324af24d6dee88ebbfe6ed0667a455504bf8bf4c206aa2d106ddfe","source":{"kind":"arxiv","id":"2506.12050","version":1},"attestation_state":"computed","paper":{"title":"Stackification via adjunction","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Zheng Wei","submitted_at":"2025-05-28T06:48:57Z","abstract_excerpt":"We establish a form of 2-adjunction (tentatively termed the *fundamental 2-adjunction*), building on the fundamental adjunction proposed by Olivia Caramello and Riccardo Zanfa, which provides a constructive method for the associated stack functor. Additionally, we investigate 2-local homeomorphisms through the lens of indexed fibrations."},"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":"2506.12050","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2025-05-28T06:48:57Z","cross_cats_sorted":[],"title_canon_sha256":"7bb120070e63162a1834b8e8d9acdf5edf0f02d1b086a2f4621eb1201b1777a8","abstract_canon_sha256":"8c2ed007ef01cf177e113aa2ea82cf104d6cefcd2b81dd81da3235a8debe656a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:21:16.253874Z","signature_b64":"FFmZgvn2WU+fhsx0dJ+PB4z2U5j/k1/o0Ihort7bZB3RGg8GBehvoTS6LPvjwvuTZ7ixo47GxKEN1pFNvlvdDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b650d98775324af24d6dee88ebbfe6ed0667a455504bf8bf4c206aa2d106ddfe","last_reissued_at":"2026-07-05T11:21:16.253484Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:21:16.253484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stackification via adjunction","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Zheng Wei","submitted_at":"2025-05-28T06:48:57Z","abstract_excerpt":"We establish a form of 2-adjunction (tentatively termed the *fundamental 2-adjunction*), building on the fundamental adjunction proposed by Olivia Caramello and Riccardo Zanfa, which provides a constructive method for the associated stack functor. Additionally, we investigate 2-local homeomorphisms through the lens of indexed fibrations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.12050","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/2506.12050/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":"2506.12050","created_at":"2026-07-05T11:21:16.253541+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.12050v1","created_at":"2026-07-05T11:21:16.253541+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.12050","created_at":"2026-07-05T11:21:16.253541+00:00"},{"alias_kind":"pith_short_12","alias_value":"WZINTB3VGJFP","created_at":"2026-07-05T11:21:16.253541+00:00"},{"alias_kind":"pith_short_16","alias_value":"WZINTB3VGJFPETLN","created_at":"2026-07-05T11:21:16.253541+00:00"},{"alias_kind":"pith_short_8","alias_value":"WZINTB3V","created_at":"2026-07-05T11:21:16.253541+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.12050","citing_title":"Stackification via adjunction","ref_index":2,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WZINTB3VGJFPETLN52EOXP7G5U","json":"https://pith.science/pith/WZINTB3VGJFPETLN52EOXP7G5U.json","graph_json":"https://pith.science/api/pith-number/WZINTB3VGJFPETLN52EOXP7G5U/graph.json","events_json":"https://pith.science/api/pith-number/WZINTB3VGJFPETLN52EOXP7G5U/events.json","paper":"https://pith.science/paper/WZINTB3V"},"agent_actions":{"view_html":"https://pith.science/pith/WZINTB3VGJFPETLN52EOXP7G5U","download_json":"https://pith.science/pith/WZINTB3VGJFPETLN52EOXP7G5U.json","view_paper":"https://pith.science/paper/WZINTB3V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.12050&json=true","fetch_graph":"https://pith.science/api/pith-number/WZINTB3VGJFPETLN52EOXP7G5U/graph.json","fetch_events":"https://pith.science/api/pith-number/WZINTB3VGJFPETLN52EOXP7G5U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WZINTB3VGJFPETLN52EOXP7G5U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WZINTB3VGJFPETLN52EOXP7G5U/action/storage_attestation","attest_author":"https://pith.science/pith/WZINTB3VGJFPETLN52EOXP7G5U/action/author_attestation","sign_citation":"https://pith.science/pith/WZINTB3VGJFPETLN52EOXP7G5U/action/citation_signature","submit_replication":"https://pith.science/pith/WZINTB3VGJFPETLN52EOXP7G5U/action/replication_record"}},"created_at":"2026-07-05T11:21:16.253541+00:00","updated_at":"2026-07-05T11:21:16.253541+00:00"}