{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NZSUXDD4VWCKEKQW636Q22GG6N","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":"c591020ff7922a3ab09c77df6385df910825a6883dd0ea98f18101081611da06","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-11T19:51:03Z","title_canon_sha256":"2fca3f66fade3637d5f8f6aa961c771c8962f15dcf2b326c98045755a9381ad3"},"schema_version":"1.0","source":{"id":"1811.04464","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.04464","created_at":"2026-05-17T23:45:35Z"},{"alias_kind":"arxiv_version","alias_value":"1811.04464v1","created_at":"2026-05-17T23:45:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.04464","created_at":"2026-05-17T23:45:35Z"},{"alias_kind":"pith_short_12","alias_value":"NZSUXDD4VWCK","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NZSUXDD4VWCKEKQW","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NZSUXDD4","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:277d77e4e6faced2b160346daa4d1db1cba92b07035f893a3c675ce49e75b0aa","target":"graph","created_at":"2026-05-17T23:45:35Z","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":"4-manifolds have special topological properties which can be used to get a different view on quantum mechanics. One important property (connected with exotic smoothness) is the natural appearance of 3-manifold wild embeddings (Alexanders horned sphere) which can be interpreted as quantum states. This relation can be confirmed by using the Turaev-Drinfeld quantization procedure. Every part of the wild embedding admits a hyperbolic geometry uncovering a deep connection between quantum mechanics and hyperbolic geometry. Then the corresponding symmetry is used to get a dimensional reduction from 4","authors_text":"Torsten Asselmeyer-Maluga","cross_cats":["hep-th","math-ph","math.GT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-11T19:51:03Z","title":"Hyperbolic groups, 4-manifolds and Quantum Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.04464","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":"sha256:0abb975386abbe5451ac87c336ce20ab67e0bf86edd68948e3439427ec7b631e","target":"record","created_at":"2026-05-17T23:45:35Z","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":"c591020ff7922a3ab09c77df6385df910825a6883dd0ea98f18101081611da06","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-11T19:51:03Z","title_canon_sha256":"2fca3f66fade3637d5f8f6aa961c771c8962f15dcf2b326c98045755a9381ad3"},"schema_version":"1.0","source":{"id":"1811.04464","kind":"arxiv","version":1}},"canonical_sha256":"6e654b8c7cad84a22a16f6fd0d68c6f3620364e3f374640169e62a9514767fde","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e654b8c7cad84a22a16f6fd0d68c6f3620364e3f374640169e62a9514767fde","first_computed_at":"2026-05-17T23:45:35.219679Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:35.219679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bIPm7VFFaB959PnsZoqT4cecJBHsV43ZOwhhSJGxezFgHGsyLQdJLZ3JLZzqV1pAQ+HCRfbhtNXJoSY5gDJjBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:35.220378Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.04464","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0abb975386abbe5451ac87c336ce20ab67e0bf86edd68948e3439427ec7b631e","sha256:277d77e4e6faced2b160346daa4d1db1cba92b07035f893a3c675ce49e75b0aa"],"state_sha256":"7be115518f4373c01cd9c5f44c75092e69f0a442a8f71117d5bad1047f6fbdcf"}