{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SAWXFNXCQLWDQ2OCKAP746O7MR","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":"36b035a9adc9956cca54d984f3f7eef59b2824ae763a52063d9a6283a2b4cf69","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-08-11T21:18:18Z","title_canon_sha256":"c8b678f6c7893cb33bcc567a5beea65a78b5c76620c26fdf9b2b6a2d8693357b"},"schema_version":"1.0","source":{"id":"1708.03707","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03707","created_at":"2026-05-18T00:38:08Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03707v1","created_at":"2026-05-18T00:38:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03707","created_at":"2026-05-18T00:38:08Z"},{"alias_kind":"pith_short_12","alias_value":"SAWXFNXCQLWD","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SAWXFNXCQLWDQ2OC","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SAWXFNXC","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:e1e764edd3fc1d327fdf8d76435b1dbfd63070e36e2d67fda606e650a749ef7e","target":"graph","created_at":"2026-05-18T00:38:08Z","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"},"paper":{"abstract_excerpt":"We consider affine buildings with refined chamber structure. For each vertex in the refined chamber structure we construct a contraction, based at the vertex, that is used to prove exactness of Schneider-Stuhler resolutions of arbitrary depth.","authors_text":"Gordan Savin, Mladen Bestvina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-08-11T21:18:18Z","title":"Bounded contractions for affine buildings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03707","kind":"arxiv","version":1},"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":"sha256:4e891299268247906e7498d9e5bec23a03f1d00dcc6bccf3598555f47a29e92d","target":"record","created_at":"2026-05-18T00:38:08Z","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":"36b035a9adc9956cca54d984f3f7eef59b2824ae763a52063d9a6283a2b4cf69","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-08-11T21:18:18Z","title_canon_sha256":"c8b678f6c7893cb33bcc567a5beea65a78b5c76620c26fdf9b2b6a2d8693357b"},"schema_version":"1.0","source":{"id":"1708.03707","kind":"arxiv","version":1}},"canonical_sha256":"902d72b6e282ec3869c2501ffe79df646bbb2b8e49e9785bafdab9f5e32692b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"902d72b6e282ec3869c2501ffe79df646bbb2b8e49e9785bafdab9f5e32692b0","first_computed_at":"2026-05-18T00:38:08.094409Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:08.094409Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hRZbxQ7eKpcOFBOspd9KOhFfbRJ/IhXk+z9csTaYVe7Ih2VSvMyO+WMuBIqiJxmVu1CsXeschz87HD5Yzlt9Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:08.094805Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03707","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e891299268247906e7498d9e5bec23a03f1d00dcc6bccf3598555f47a29e92d","sha256:e1e764edd3fc1d327fdf8d76435b1dbfd63070e36e2d67fda606e650a749ef7e"],"state_sha256":"98e86b1bc7b2ca37065e74884faadaba9f0b4b9d5b42181c7120cf00f751a146"}