{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:HNGODIPPJHYSMEYL4353ZIY2XV","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":"8539e41164faa9f02099f26ec29d5748f2d6949024358681fb6fc20cff6ce416","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-10-06T18:00:12Z","title_canon_sha256":"c214f27038a713e37f3f2a1bb2f6deabcfeb3d8def9cef1f3958b8651ff8baee"},"schema_version":"1.0","source":{"id":"2110.02980","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.02980","created_at":"2026-07-05T03:53:06Z"},{"alias_kind":"arxiv_version","alias_value":"2110.02980v2","created_at":"2026-07-05T03:53:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.02980","created_at":"2026-07-05T03:53:06Z"},{"alias_kind":"pith_short_12","alias_value":"HNGODIPPJHYS","created_at":"2026-07-05T03:53:06Z"},{"alias_kind":"pith_short_16","alias_value":"HNGODIPPJHYSMEYL","created_at":"2026-07-05T03:53:06Z"},{"alias_kind":"pith_short_8","alias_value":"HNGODIPP","created_at":"2026-07-05T03:53:06Z"}],"graph_snapshots":[{"event_id":"sha256:253d748159fa3a7e84c54e2e9600e28735369bc49f8b370447a0f31b17f2f0fc","target":"graph","created_at":"2026-07-05T03:53:06Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2110.02980/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The entropic order parameters measure in a universal geometric way the statistics of non-local operators responsible for generalized symmetries. In this article, we compute entropic order parameters in weakly coupled gauge theories. To perform this computation, the natural route of evaluating expectation values of physical (smeared) non-local operators is prevented by known difficulties in constructing suitable smeared Wilson loops. We circumvent this problem by studying the smeared non-local class operators in the enlarged non-gauge invariant Hilbert space. This provides a generic approach fo","authors_text":"Horacio Casini, Javier M. Magan, Pedro J. Martinez","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-10-06T18:00:12Z","title":"Entropic order parameters in weakly coupled gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.02980","kind":"arxiv","version":2},"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:ee22bcb889131489c10094c4b12b3395055418ae58546ad01caf58c8bd3355d4","target":"record","created_at":"2026-07-05T03:53:06Z","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":"8539e41164faa9f02099f26ec29d5748f2d6949024358681fb6fc20cff6ce416","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-10-06T18:00:12Z","title_canon_sha256":"c214f27038a713e37f3f2a1bb2f6deabcfeb3d8def9cef1f3958b8651ff8baee"},"schema_version":"1.0","source":{"id":"2110.02980","kind":"arxiv","version":2}},"canonical_sha256":"3b4ce1a1ef49f126130be6fbbca31abd63566d76a044d6ff294314512367c4ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b4ce1a1ef49f126130be6fbbca31abd63566d76a044d6ff294314512367c4ab","first_computed_at":"2026-07-05T03:53:06.344445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:53:06.344445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DL6z7QLg4cqCWzMC1ed5YlVG3E0q7Z8Dxpd/uRK5E9Bg/vYMN0tEAzs2x9/atgNdr/34MrLqPv+gnTvZtVWzAw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:53:06.344903Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.02980","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee22bcb889131489c10094c4b12b3395055418ae58546ad01caf58c8bd3355d4","sha256:253d748159fa3a7e84c54e2e9600e28735369bc49f8b370447a0f31b17f2f0fc"],"state_sha256":"6368a03600d95b9b294218376f3a18610006fddf2445f404b054466909e4b859"}