{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7DQ5L6CXVDLQ3LBX2SFFGZPQAM","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":"04f424ce78c9dfd172aa5516b12108c159b908652ef94e13b2a5753ecb32b4b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-08-03T18:52:45Z","title_canon_sha256":"7a5da1296def7c577c22771ee1de57f3724e36782074e4efa66c82149007e077"},"schema_version":"1.0","source":{"id":"1508.00526","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.00526","created_at":"2026-05-18T01:07:52Z"},{"alias_kind":"arxiv_version","alias_value":"1508.00526v5","created_at":"2026-05-18T01:07:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00526","created_at":"2026-05-18T01:07:52Z"},{"alias_kind":"pith_short_12","alias_value":"7DQ5L6CXVDLQ","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"7DQ5L6CXVDLQ3LBX","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"7DQ5L6CX","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:d60dfb9c69f93d021ba74694f00a0794b975dfa03b70fb738d45e1e1bb28fea4","target":"graph","created_at":"2026-05-18T01:07:52Z","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 go back and forth between, on the one hand, presentations of arithmetic and Kac-Moody groups and, on the other hand, presentations of profinite groups, deducing along the way new results on both.","authors_text":"Alexander Lubotzky, Bertrand R\\'emy (CMLS), Inna Capdeboscq (WMI)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-08-03T18:52:45Z","title":"Presentations: from Kac-Moody groups to profinite and back"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00526","kind":"arxiv","version":5},"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":"sha256:781983e7dffbe0daf15ec030411f1564b16927d1475c2e240da667f8f7c7e2b3","target":"record","created_at":"2026-05-18T01:07:52Z","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":"04f424ce78c9dfd172aa5516b12108c159b908652ef94e13b2a5753ecb32b4b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-08-03T18:52:45Z","title_canon_sha256":"7a5da1296def7c577c22771ee1de57f3724e36782074e4efa66c82149007e077"},"schema_version":"1.0","source":{"id":"1508.00526","kind":"arxiv","version":5}},"canonical_sha256":"f8e1d5f857a8d70dac37d48a5365f0031fdb40962c62808672a776992895561e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8e1d5f857a8d70dac37d48a5365f0031fdb40962c62808672a776992895561e","first_computed_at":"2026-05-18T01:07:52.431440Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:52.431440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/KYJdtYwy9dzdWBsABkZkAEs0JTVtgFDWCrWeWpiPZ/0+/0qwIwL6qI/PuX9buYGn9rROgy6KPbF0+IDrKWlCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:52.431824Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.00526","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:781983e7dffbe0daf15ec030411f1564b16927d1475c2e240da667f8f7c7e2b3","sha256:d60dfb9c69f93d021ba74694f00a0794b975dfa03b70fb738d45e1e1bb28fea4"],"state_sha256":"c7e9a86bb3f51cc6bf4c7dbb17306334c6e50da971d9382b4e2e648a42f01b97"}