{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:AY7N3FTFDOWEQBCNRLSCDERMTO","short_pith_number":"pith:AY7N3FTF","schema_version":"1.0","canonical_sha256":"063edd96651bac48044d8ae421922c9baec5f3ab9ef09ddcb80ec280b89c4cb8","source":{"kind":"arxiv","id":"1205.2427","version":2},"attestation_state":"computed","paper":{"title":"Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.mes-hall","authors_text":"Hiroki Isobe, Naoto Nagaosa","submitted_at":"2012-05-11T05:06:45Z","abstract_excerpt":"We study theoretically the quantum critical phenomenon of the phase transition between the trivial insulator and the topological insulator in (3+1) dimensions, which is described by a Dirac fermion coupled to the electromagnetic field. The renormalization group (RG) equations for the running coupling constant \\alpha, the speed of light c and electron v are derived. The almost exact analytic solutions to these RG equations are obtained to reveal that (i) c and v approach to the common value with combination c^2v being almost unrenormalized, (ii) the RG flow of \\alpha is the same as that of usua"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1205.2427","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-05-11T05:06:45Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"40f4d8be241a28aa5e5bac764c227c286869bc5630efa68bd52fe90f06a0130c","abstract_canon_sha256":"754d2b35240f8bc64b8a1575ba53fb3e91550d347c8c95cfbc1f1b96e18603d2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:56.280707Z","signature_b64":"Dcon8BIIzdkNgtd/HvN5XEKg/TbqGCgz8KBms8MG535QBHDD4yPIWwtIFulkxgRkZ4M9a+6+deNadNxxoaPoAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"063edd96651bac48044d8ae421922c9baec5f3ab9ef09ddcb80ec280b89c4cb8","last_reissued_at":"2026-05-18T03:41:56.279710Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:56.279710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.mes-hall","authors_text":"Hiroki Isobe, Naoto Nagaosa","submitted_at":"2012-05-11T05:06:45Z","abstract_excerpt":"We study theoretically the quantum critical phenomenon of the phase transition between the trivial insulator and the topological insulator in (3+1) dimensions, which is described by a Dirac fermion coupled to the electromagnetic field. The renormalization group (RG) equations for the running coupling constant \\alpha, the speed of light c and electron v are derived. The almost exact analytic solutions to these RG equations are obtained to reveal that (i) c and v approach to the common value with combination c^2v being almost unrenormalized, (ii) the RG flow of \\alpha is the same as that of usua"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2427","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1205.2427","created_at":"2026-05-18T03:41:56.279877+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.2427v2","created_at":"2026-05-18T03:41:56.279877+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2427","created_at":"2026-05-18T03:41:56.279877+00:00"},{"alias_kind":"pith_short_12","alias_value":"AY7N3FTFDOWE","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"AY7N3FTFDOWEQBCN","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"AY7N3FTF","created_at":"2026-05-18T12:26:58.693483+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AY7N3FTFDOWEQBCNRLSCDERMTO","json":"https://pith.science/pith/AY7N3FTFDOWEQBCNRLSCDERMTO.json","graph_json":"https://pith.science/api/pith-number/AY7N3FTFDOWEQBCNRLSCDERMTO/graph.json","events_json":"https://pith.science/api/pith-number/AY7N3FTFDOWEQBCNRLSCDERMTO/events.json","paper":"https://pith.science/paper/AY7N3FTF"},"agent_actions":{"view_html":"https://pith.science/pith/AY7N3FTFDOWEQBCNRLSCDERMTO","download_json":"https://pith.science/pith/AY7N3FTFDOWEQBCNRLSCDERMTO.json","view_paper":"https://pith.science/paper/AY7N3FTF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.2427&json=true","fetch_graph":"https://pith.science/api/pith-number/AY7N3FTFDOWEQBCNRLSCDERMTO/graph.json","fetch_events":"https://pith.science/api/pith-number/AY7N3FTFDOWEQBCNRLSCDERMTO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AY7N3FTFDOWEQBCNRLSCDERMTO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AY7N3FTFDOWEQBCNRLSCDERMTO/action/storage_attestation","attest_author":"https://pith.science/pith/AY7N3FTFDOWEQBCNRLSCDERMTO/action/author_attestation","sign_citation":"https://pith.science/pith/AY7N3FTFDOWEQBCNRLSCDERMTO/action/citation_signature","submit_replication":"https://pith.science/pith/AY7N3FTFDOWEQBCNRLSCDERMTO/action/replication_record"}},"created_at":"2026-05-18T03:41:56.279877+00:00","updated_at":"2026-05-18T03:41:56.279877+00:00"}