{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PV5ZMAS3LSPOJGMYAGS34U2L65","short_pith_number":"pith:PV5ZMAS3","schema_version":"1.0","canonical_sha256":"7d7b96025b5c9ee4999801a5be534bf76ab34e8b0e44547b49c2cd062f5c476f","source":{"kind":"arxiv","id":"1608.07699","version":4},"attestation_state":"computed","paper":{"title":"Stability for inner fibrations revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Danny Stevenson","submitted_at":"2016-08-27T11:52:51Z","abstract_excerpt":"In this paper we prove a stability result for inner fibrations in terms of the wide, or fat join operation on simplicial sets. We also prove some additional results on inner anodyne morphisms that may be of independent interest."},"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":"1608.07699","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-08-27T11:52:51Z","cross_cats_sorted":[],"title_canon_sha256":"693b78eae752a9b033bea137b7906b512383bb6f77b541e95687a07124a8a9fa","abstract_canon_sha256":"629564210e9fa1b06d56c6770ce276ea0c5cebcb06d4038dc8a39b6e5910babb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:13.964071Z","signature_b64":"CVU6Af9PafR9wdBF/gDefarNbQT1HjKvAre6eA2Lin0Logm0rUl/6+dRcJQ8dylwnsheFMu6j/3VVA2PiOyoCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d7b96025b5c9ee4999801a5be534bf76ab34e8b0e44547b49c2cd062f5c476f","last_reissued_at":"2026-05-18T00:10:13.963419Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:13.963419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability for inner fibrations revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Danny Stevenson","submitted_at":"2016-08-27T11:52:51Z","abstract_excerpt":"In this paper we prove a stability result for inner fibrations in terms of the wide, or fat join operation on simplicial sets. We also prove some additional results on inner anodyne morphisms that may be of independent interest."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.07699","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":""},"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":"1608.07699","created_at":"2026-05-18T00:10:13.963518+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.07699v4","created_at":"2026-05-18T00:10:13.963518+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.07699","created_at":"2026-05-18T00:10:13.963518+00:00"},{"alias_kind":"pith_short_12","alias_value":"PV5ZMAS3LSPO","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"PV5ZMAS3LSPOJGMY","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"PV5ZMAS3","created_at":"2026-05-18T12:30:39.010887+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/PV5ZMAS3LSPOJGMYAGS34U2L65","json":"https://pith.science/pith/PV5ZMAS3LSPOJGMYAGS34U2L65.json","graph_json":"https://pith.science/api/pith-number/PV5ZMAS3LSPOJGMYAGS34U2L65/graph.json","events_json":"https://pith.science/api/pith-number/PV5ZMAS3LSPOJGMYAGS34U2L65/events.json","paper":"https://pith.science/paper/PV5ZMAS3"},"agent_actions":{"view_html":"https://pith.science/pith/PV5ZMAS3LSPOJGMYAGS34U2L65","download_json":"https://pith.science/pith/PV5ZMAS3LSPOJGMYAGS34U2L65.json","view_paper":"https://pith.science/paper/PV5ZMAS3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.07699&json=true","fetch_graph":"https://pith.science/api/pith-number/PV5ZMAS3LSPOJGMYAGS34U2L65/graph.json","fetch_events":"https://pith.science/api/pith-number/PV5ZMAS3LSPOJGMYAGS34U2L65/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PV5ZMAS3LSPOJGMYAGS34U2L65/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PV5ZMAS3LSPOJGMYAGS34U2L65/action/storage_attestation","attest_author":"https://pith.science/pith/PV5ZMAS3LSPOJGMYAGS34U2L65/action/author_attestation","sign_citation":"https://pith.science/pith/PV5ZMAS3LSPOJGMYAGS34U2L65/action/citation_signature","submit_replication":"https://pith.science/pith/PV5ZMAS3LSPOJGMYAGS34U2L65/action/replication_record"}},"created_at":"2026-05-18T00:10:13.963518+00:00","updated_at":"2026-05-18T00:10:13.963518+00:00"}