{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:MZLL6AFQWN7APPYQBNQFQO2IMP","short_pith_number":"pith:MZLL6AFQ","schema_version":"1.0","canonical_sha256":"6656bf00b0b37e07bf100b60583b4863d921b7f48d19a4ccdfef7c3100ad1367","source":{"kind":"arxiv","id":"1010.0936","version":2},"attestation_state":"computed","paper":{"title":"Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"Andreas W. W. Ludwig, Joel E. Moore, Shinsei Ryu","submitted_at":"2010-10-05T16:40:01Z","abstract_excerpt":"One of the defining properties of the conventional three-dimensional (\"$\\mathbb{Z}_2$-\", or \"spin-orbit\"-) topological insulator is its characteristic magnetoelectric effect, as described by axion electrodynamics. In this paper, we discuss an analogue of such a magnetoelectric effect in the thermal (or gravitational) and the magnetic dipole responses in all symmetry classes which admit topologically non-trivial insulators or superconductors to exist in three dimensions. In particular, for topological superconductors (or superfluids) with time-reversal symmetry which lack SU(2) spin rotation sy"},"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":"1010.0936","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-10-05T16:40:01Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"78e7a9753f816a682fd8df603f607c16e91a645d421948b6c381043f3135b240","abstract_canon_sha256":"a4be8185e3e16a3932c4360ee41ad783f5776724944663c88967378e36fe4882"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:43.859281Z","signature_b64":"szSHTzn/iS+LdZtjUx+fY5HxElxxfGGDMhmPbYsw5dITP8ClrLtu+XSPYZcg9pUEzNK10jbWFDYv7UM17EnxBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6656bf00b0b37e07bf100b60583b4863d921b7f48d19a4ccdfef7c3100ad1367","last_reissued_at":"2026-05-18T03:53:43.858706Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:43.858706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"Andreas W. W. Ludwig, Joel E. Moore, Shinsei Ryu","submitted_at":"2010-10-05T16:40:01Z","abstract_excerpt":"One of the defining properties of the conventional three-dimensional (\"$\\mathbb{Z}_2$-\", or \"spin-orbit\"-) topological insulator is its characteristic magnetoelectric effect, as described by axion electrodynamics. In this paper, we discuss an analogue of such a magnetoelectric effect in the thermal (or gravitational) and the magnetic dipole responses in all symmetry classes which admit topologically non-trivial insulators or superconductors to exist in three dimensions. In particular, for topological superconductors (or superfluids) with time-reversal symmetry which lack SU(2) spin rotation sy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0936","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":"1010.0936","created_at":"2026-05-18T03:53:43.858818+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.0936v2","created_at":"2026-05-18T03:53:43.858818+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0936","created_at":"2026-05-18T03:53:43.858818+00:00"},{"alias_kind":"pith_short_12","alias_value":"MZLL6AFQWN7A","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"MZLL6AFQWN7APPYQ","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"MZLL6AFQ","created_at":"2026-05-18T12:26:10.704358+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2510.15766","citing_title":"Subdimensional Entanglement Entropy: From Geometric-Topological Response to Mixed-State Holography","ref_index":15,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MZLL6AFQWN7APPYQBNQFQO2IMP","json":"https://pith.science/pith/MZLL6AFQWN7APPYQBNQFQO2IMP.json","graph_json":"https://pith.science/api/pith-number/MZLL6AFQWN7APPYQBNQFQO2IMP/graph.json","events_json":"https://pith.science/api/pith-number/MZLL6AFQWN7APPYQBNQFQO2IMP/events.json","paper":"https://pith.science/paper/MZLL6AFQ"},"agent_actions":{"view_html":"https://pith.science/pith/MZLL6AFQWN7APPYQBNQFQO2IMP","download_json":"https://pith.science/pith/MZLL6AFQWN7APPYQBNQFQO2IMP.json","view_paper":"https://pith.science/paper/MZLL6AFQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.0936&json=true","fetch_graph":"https://pith.science/api/pith-number/MZLL6AFQWN7APPYQBNQFQO2IMP/graph.json","fetch_events":"https://pith.science/api/pith-number/MZLL6AFQWN7APPYQBNQFQO2IMP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MZLL6AFQWN7APPYQBNQFQO2IMP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MZLL6AFQWN7APPYQBNQFQO2IMP/action/storage_attestation","attest_author":"https://pith.science/pith/MZLL6AFQWN7APPYQBNQFQO2IMP/action/author_attestation","sign_citation":"https://pith.science/pith/MZLL6AFQWN7APPYQBNQFQO2IMP/action/citation_signature","submit_replication":"https://pith.science/pith/MZLL6AFQWN7APPYQBNQFQO2IMP/action/replication_record"}},"created_at":"2026-05-18T03:53:43.858818+00:00","updated_at":"2026-05-18T03:53:43.858818+00:00"}