{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:CI33FBTZPWPSJNDRHRAL7NKC7E","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":"9482f13b21e5bc1273a6590170b1833da0ffbde6ad01d79979c9731bf1e43245","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2000-12-12T11:54:36Z","title_canon_sha256":"760f65a7bbf1bf1c77d2ceba84967a61a4fd9647aec8e00eb49ff284d41675e5"},"schema_version":"1.0","source":{"id":"cond-mat/0012195","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0012195","created_at":"2026-05-18T00:37:17Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0012195v1","created_at":"2026-05-18T00:37:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0012195","created_at":"2026-05-18T00:37:17Z"},{"alias_kind":"pith_short_12","alias_value":"CI33FBTZPWPS","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"CI33FBTZPWPSJNDR","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"CI33FBTZ","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:c90329ef0c84a7899494a1e359ef12fb5946fb9aa69f543bcbbdd441195071b9","target":"graph","created_at":"2026-05-18T00:37:17Z","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 discuss the momentum-space topology of 3+1 and 2+1 strongly correlated fermionic systems. For the 3+1 systems the important universality class is determined by the topologically stable Fermi points in momentum space. In the extreme limit of low energy the condensed matter system of this universality class acquires all the symmetries, which we know today in high energy physics: Lorentz invariance, gauge invariance, general covariance, etc. The chiral fermions as well as gauge bosons and gravity field arise as fermionic and bosonic collective modes of the system. This introduces the conceptua","authors_text":"G.E. Volovik","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"2000-12-12T11:54:36Z","title":"Interplay of real space and momentum space topologies in strongly correlated fermionic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0012195","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:d019edb4c56999010a93e02873723873bf62687d9f04a200e4bd5fbae38e9e75","target":"record","created_at":"2026-05-18T00:37:17Z","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":"9482f13b21e5bc1273a6590170b1833da0ffbde6ad01d79979c9731bf1e43245","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2000-12-12T11:54:36Z","title_canon_sha256":"760f65a7bbf1bf1c77d2ceba84967a61a4fd9647aec8e00eb49ff284d41675e5"},"schema_version":"1.0","source":{"id":"cond-mat/0012195","kind":"arxiv","version":1}},"canonical_sha256":"1237b286797d9f24b4713c40bfb542f9338095576237dd2f85c7d55da15350b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1237b286797d9f24b4713c40bfb542f9338095576237dd2f85c7d55da15350b0","first_computed_at":"2026-05-18T00:37:17.264049Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:17.264049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CT1boJjerId00+cmx7VnSU42rYE/GgYprCg4VnlfwP5CUiM+EwblRBDh8jgYKh187r/72SqS/ngqV7Gu6MQwCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:17.264791Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0012195","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d019edb4c56999010a93e02873723873bf62687d9f04a200e4bd5fbae38e9e75","sha256:c90329ef0c84a7899494a1e359ef12fb5946fb9aa69f543bcbbdd441195071b9"],"state_sha256":"f99527b4bea35dd5c4675158e97bdc15ef28059998b5d3cbbef34caff08db171"}