{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:D2CN27DKDOB2FA6J6G4O3DUSX2","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":"7351bbfb354284fc01dbce1902fb0da4ddcfb53fbedc948f64fbf8b61dba980e","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2017-01-24T07:46:17Z","title_canon_sha256":"0a848f7679329ef723dc95285c9ce008d71c6f9ef1aac14959491b0ca4676200"},"schema_version":"1.0","source":{"id":"1701.06757","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06757","created_at":"2026-05-18T00:48:25Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06757v2","created_at":"2026-05-18T00:48:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06757","created_at":"2026-05-18T00:48:25Z"},{"alias_kind":"pith_short_12","alias_value":"D2CN27DKDOB2","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"D2CN27DKDOB2FA6J","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"D2CN27DK","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:b86d62639723829a171b4636feaafb2c2fb26d6f52b44226e6da4f3bf74944f5","target":"graph","created_at":"2026-05-18T00:48:25Z","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":"A compact hyperbolic \"cobweb\" manifold (hyperbolic space form) of symbol $Cw(6,6,6)$ will be constructed in Fig.1,4,5 as a representant of a presumably infinite series $Cw(2p,2p,2p)$ $(3 \\le p \\in \\bN$ natural numbers). This is a by-product of our investigations \\cite{MSz16}. In that work dense ball packings and coverings of hyperbolic space $\\HYP$ have been constructed on the base of complete hyperbolic Coxeter orthoschemes $\\mathcal{O}=W_{uvw}$ and its extended reflection groups $\\bG$ (see diagram in Fig.~3. and picture of fundamental domain in Fig.~2). Now $u=v=w=6 (=2p)$. Thus the maximal ","authors_text":"Emil Moln\\'ar, Jen\\H{o} Szirmai","cross_cats":["math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2017-01-24T07:46:17Z","title":"On hyperbolic cobweb manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06757","kind":"arxiv","version":2},"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":"sha256:059b365231d2db949b03e30f2b2e8a0bd62657f43462ecd374c652cd2bd0d280","target":"record","created_at":"2026-05-18T00:48:25Z","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":"7351bbfb354284fc01dbce1902fb0da4ddcfb53fbedc948f64fbf8b61dba980e","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2017-01-24T07:46:17Z","title_canon_sha256":"0a848f7679329ef723dc95285c9ce008d71c6f9ef1aac14959491b0ca4676200"},"schema_version":"1.0","source":{"id":"1701.06757","kind":"arxiv","version":2}},"canonical_sha256":"1e84dd7c6a1b83a283c9f1b8ed8e92beb6e41c6ba32b99c9e846cd4122fa5411","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e84dd7c6a1b83a283c9f1b8ed8e92beb6e41c6ba32b99c9e846cd4122fa5411","first_computed_at":"2026-05-18T00:48:25.845942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:25.845942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XikFnBCnljPmKXkcetGMhhNxBK6y+AfNv2Nz+OM/UTn/aEgsHrA6lgT4syHIAlox+qV045GFfnjKGCTKvC5/Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:25.846414Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.06757","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:059b365231d2db949b03e30f2b2e8a0bd62657f43462ecd374c652cd2bd0d280","sha256:b86d62639723829a171b4636feaafb2c2fb26d6f52b44226e6da4f3bf74944f5"],"state_sha256":"bf162808640f4a3f8b178ccf3ce4d757169bae01891c444ae20f0e289bb034de"}