{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Y76GZPYSH24AJEL5O5GMLHEHTG","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":"650d0dbd19478fe495e7a0662d11d6f07359cf2563f942ad90522be784fe409d","cross_cats_sorted":["cond-mat.str-el","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-16T10:44:50Z","title_canon_sha256":"2d67bc813fa665f1bd259c971d0ed9b9917897f43362013300fd36b6732e64fe"},"schema_version":"1.0","source":{"id":"1211.3850","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3850","created_at":"2026-05-18T01:53:10Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3850v1","created_at":"2026-05-18T01:53:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3850","created_at":"2026-05-18T01:53:10Z"},{"alias_kind":"pith_short_12","alias_value":"Y76GZPYSH24A","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"Y76GZPYSH24AJEL5","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"Y76GZPYS","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:33d796f9c404229979f8f1ae71406ec19fe4e0befc82c061e74a15ca7acee088","target":"graph","created_at":"2026-05-18T01:53:10Z","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 study the thermal expectation value of the following observeable at finite temperature T and chemical potential \\mu : < L_{12} L_{34} ... L_{d-3,d-2} P_{d-1} > where L_{ij} denote the angular momenta, and P_i denotes the spatial momentum in d spacetime dimensions with d even. We call this observeable the thermal helicity. Using a variety of arguments, we motivate the surprising assertion that thermal helicity per unit volume is a polynomial in T and \\mu. Further, in field theories without chiral gravitino, we conjecture that this polynomial can be derived from the anomaly polynomial of the ","authors_text":"R. Loganayagam","cross_cats":["cond-mat.str-el","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-16T10:44:50Z","title":"Anomalies and the Helicity of the Thermal State"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3850","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":"sha256:1ad14e97bbd3ba1fbbe5e10c495a535f4fbb1126b9fc0d1957583b2b85ebee95","target":"record","created_at":"2026-05-18T01:53:10Z","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":"650d0dbd19478fe495e7a0662d11d6f07359cf2563f942ad90522be784fe409d","cross_cats_sorted":["cond-mat.str-el","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-16T10:44:50Z","title_canon_sha256":"2d67bc813fa665f1bd259c971d0ed9b9917897f43362013300fd36b6732e64fe"},"schema_version":"1.0","source":{"id":"1211.3850","kind":"arxiv","version":1}},"canonical_sha256":"c7fc6cbf123eb804917d774cc59c87998eb784b75d46a960e0d02adaf5a0eb64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7fc6cbf123eb804917d774cc59c87998eb784b75d46a960e0d02adaf5a0eb64","first_computed_at":"2026-05-18T01:53:10.446676Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:53:10.446676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O7t/5NZGzVYwaltGBG4lQAUqzF/O5H3NIH1IOvpgcMJvdJFgiccp/hCB1txMgzzgJI4fHDvhFmoijhvdAzecDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:53:10.447147Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.3850","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ad14e97bbd3ba1fbbe5e10c495a535f4fbb1126b9fc0d1957583b2b85ebee95","sha256:33d796f9c404229979f8f1ae71406ec19fe4e0befc82c061e74a15ca7acee088"],"state_sha256":"ec78941384f1476209b6e08e68f64ff9abead545e29b1225628ff9124937c397"}