{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:B4GFNZDJXHEOFXAMAE36H4MNB2","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":"41d74ac033099735db668a06506d44e8e5ea2f8149dcba4dfa4a34c3ae319744","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-09-11T21:58:35Z","title_canon_sha256":"2a24b461edbc79a59dc70f3eaa8a079b1625e94b451d47642b36f8c90f677a88"},"schema_version":"1.0","source":{"id":"1209.2450","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2450","created_at":"2026-05-18T03:45:43Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2450v1","created_at":"2026-05-18T03:45:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2450","created_at":"2026-05-18T03:45:43Z"},{"alias_kind":"pith_short_12","alias_value":"B4GFNZDJXHEO","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"B4GFNZDJXHEOFXAM","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"B4GFNZDJ","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:6f441228b5abe5ae5bd978d0ad2b970a5afb76bcc397b78d4597c9dc6176796b","target":"graph","created_at":"2026-05-18T03:45:43Z","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 give a purely geometrical smooth characterization of closed infrasolv manifolds and orbifolds by showing that, up to diffeomorphism, these are precisely the spaces which admit a collapse with bounded curvature and diameter to compact flat orbifolds. Moreover, we distinguish irreducible smooth fake tori geometrically from standard ones by proving that the former have non-vanishing D-minimal volume.","authors_text":"Oliver Baues, Wilderich Tuschmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-09-11T21:58:35Z","title":"Seifert fiberings and collapsing of infrasolv spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2450","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":"sha256:186dd4a9f69b1fed1d6ba2f0acef67c3bb1c1f35983e13dac5f47356bb513b54","target":"record","created_at":"2026-05-18T03:45:43Z","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":"41d74ac033099735db668a06506d44e8e5ea2f8149dcba4dfa4a34c3ae319744","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-09-11T21:58:35Z","title_canon_sha256":"2a24b461edbc79a59dc70f3eaa8a079b1625e94b451d47642b36f8c90f677a88"},"schema_version":"1.0","source":{"id":"1209.2450","kind":"arxiv","version":1}},"canonical_sha256":"0f0c56e469b9c8e2dc0c0137e3f18d0e944e6a6c0caaf5f5a43e6cd5e95d25ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f0c56e469b9c8e2dc0c0137e3f18d0e944e6a6c0caaf5f5a43e6cd5e95d25ca","first_computed_at":"2026-05-18T03:45:43.118234Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:43.118234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vgZGSTF/AWeIBICg3XAKYw/rVC/bPOGBwq+hjwl0vE/58cNOL2N6sqOxg5ne9UaADBESdZAVTfANYVAa619wDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:43.118919Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.2450","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:186dd4a9f69b1fed1d6ba2f0acef67c3bb1c1f35983e13dac5f47356bb513b54","sha256:6f441228b5abe5ae5bd978d0ad2b970a5afb76bcc397b78d4597c9dc6176796b"],"state_sha256":"7cb415dd0dccb7e7473fc25e062ffa7762fb96762a5b3fa6121ef2e447bdd1dd"}