{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:36TT6D3LLCRGPVWNTODSMFILXY","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":"6a90c59eac7eeb0d7f7f9eda68f755ed86aa5db3e7a495e2ae32a84a6ecf4bb4","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-06T10:12:08Z","title_canon_sha256":"b7d3627cb4112f21943fce5db8e6073f1d55c24d39f673bf256aba7798fd6c34"},"schema_version":"1.0","source":{"id":"1101.1179","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1179","created_at":"2026-05-18T02:23:05Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1179v3","created_at":"2026-05-18T02:23:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1179","created_at":"2026-05-18T02:23:05Z"},{"alias_kind":"pith_short_12","alias_value":"36TT6D3LLCRG","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"36TT6D3LLCRGPVWN","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"36TT6D3L","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:52161b5d1e313521b9436242053322c20a727ea3c940273384566e722d638817","target":"graph","created_at":"2026-05-18T02:23:05Z","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":"Topological invariants in terms of the Green's function in momentum and real space determine properties of smooth textures within topological media. In space dimension D=1 the topological invariant N_3 in terms of the Green's function G(\\omega,k_x,x) determines the fermion number of the 1D soliton, while in space dimension D=3 the topological invariant N_5 in terms of the Green's function G(\\omega,k_x,k_y,k_z,z) determines quantization of Hall conductivity in the soliton plane within the topological insulators.","authors_text":"G.E. Volovik, Jukka I. Vayrynen","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-06T10:12:08Z","title":"Soft topological objects in topological media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1179","kind":"arxiv","version":3},"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":"sha256:47f39d587f9364d24c272c42893a5b5d3abc7f42fe16c9cf38d7e23960ec1570","target":"record","created_at":"2026-05-18T02:23:05Z","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":"6a90c59eac7eeb0d7f7f9eda68f755ed86aa5db3e7a495e2ae32a84a6ecf4bb4","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-06T10:12:08Z","title_canon_sha256":"b7d3627cb4112f21943fce5db8e6073f1d55c24d39f673bf256aba7798fd6c34"},"schema_version":"1.0","source":{"id":"1101.1179","kind":"arxiv","version":3}},"canonical_sha256":"dfa73f0f6b58a267d6cd9b8726150bbe34c7453b84f5f2722f0d47edbc3f6237","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dfa73f0f6b58a267d6cd9b8726150bbe34c7453b84f5f2722f0d47edbc3f6237","first_computed_at":"2026-05-18T02:23:05.148719Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:05.148719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6aAR0Z0bgKQYsILqeiLhBQ+KAqans4ni1CAPB/TheOUe1AMuDRI3bWGY7IqVWyKWM90nNjyPVASIOYokQzemBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:05.149133Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.1179","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47f39d587f9364d24c272c42893a5b5d3abc7f42fe16c9cf38d7e23960ec1570","sha256:52161b5d1e313521b9436242053322c20a727ea3c940273384566e722d638817"],"state_sha256":"60f0a5c6c4c3d7ea8ed9adef5fec0190a1ea34c39260288238d8bc3b409d864c"}