{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:NLDKYELI3YA3RVULHNMSULSOIB","short_pith_number":"pith:NLDKYELI","schema_version":"1.0","canonical_sha256":"6ac6ac1168de01b8d68b3b592a2e4e40622433773047027faea6ffa63e3b1fa5","source":{"kind":"arxiv","id":"2407.21793","version":2},"attestation_state":"computed","paper":{"title":"Non-equilibrium dynamics of symmetry-resolved entanglement and entanglement asymmetry: Exact asymptotics in Rule 54","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CG","nlin.SI","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Katja Klobas","submitted_at":"2024-07-31T17:59:50Z","abstract_excerpt":"Symmetry resolved entanglement and entanglement asymmetry are two measures of quantum correlations sensitive to symmetries of the system. Here we discuss their non-equilibrium dynamics in the Rule 54 cellular automaton, a simple, yet interacting, integrable model. Both quantities can be expressed in terms of the more analytically tractable \"charged moments\", i.e. traces of powers of a suitably deformed density matrix, via a replica trick. We express them in terms of a tensor network, which we contract in space using a system of local algebraic relations. This gives the asymptotic form for the "},"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":"2407.21793","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-07-31T17:59:50Z","cross_cats_sorted":["nlin.CG","nlin.SI","quant-ph"],"title_canon_sha256":"e06874769f977b26d5eaff6db92fc3b401a340e746aa380b86c3c007a6b4ee06","abstract_canon_sha256":"79d3eae11e183fd4294d83b1845e2420934088a4d1b37739ced6378d1995b7ab"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:06:29.705458Z","signature_b64":"/aPc6mp65w7SkgoD7LQbLAHEDUNapGq7kpI8oQQb966aPm5hW/8QOeljp0SbznbZbbS0d8Rpi8AAzUG+L3oODA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ac6ac1168de01b8d68b3b592a2e4e40622433773047027faea6ffa63e3b1fa5","last_reissued_at":"2026-07-05T10:06:29.704912Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:06:29.704912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-equilibrium dynamics of symmetry-resolved entanglement and entanglement asymmetry: Exact asymptotics in Rule 54","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CG","nlin.SI","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Katja Klobas","submitted_at":"2024-07-31T17:59:50Z","abstract_excerpt":"Symmetry resolved entanglement and entanglement asymmetry are two measures of quantum correlations sensitive to symmetries of the system. Here we discuss their non-equilibrium dynamics in the Rule 54 cellular automaton, a simple, yet interacting, integrable model. Both quantities can be expressed in terms of the more analytically tractable \"charged moments\", i.e. traces of powers of a suitably deformed density matrix, via a replica trick. We express them in terms of a tensor network, which we contract in space using a system of local algebraic relations. This gives the asymptotic form for the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.21793","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.21793/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2407.21793","created_at":"2026-07-05T10:06:29.704976+00:00"},{"alias_kind":"arxiv_version","alias_value":"2407.21793v2","created_at":"2026-07-05T10:06:29.704976+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.21793","created_at":"2026-07-05T10:06:29.704976+00:00"},{"alias_kind":"pith_short_12","alias_value":"NLDKYELI3YA3","created_at":"2026-07-05T10:06:29.704976+00:00"},{"alias_kind":"pith_short_16","alias_value":"NLDKYELI3YA3RVUL","created_at":"2026-07-05T10:06:29.704976+00:00"},{"alias_kind":"pith_short_8","alias_value":"NLDKYELI","created_at":"2026-07-05T10:06:29.704976+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.06612","citing_title":"Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench","ref_index":48,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NLDKYELI3YA3RVULHNMSULSOIB","json":"https://pith.science/pith/NLDKYELI3YA3RVULHNMSULSOIB.json","graph_json":"https://pith.science/api/pith-number/NLDKYELI3YA3RVULHNMSULSOIB/graph.json","events_json":"https://pith.science/api/pith-number/NLDKYELI3YA3RVULHNMSULSOIB/events.json","paper":"https://pith.science/paper/NLDKYELI"},"agent_actions":{"view_html":"https://pith.science/pith/NLDKYELI3YA3RVULHNMSULSOIB","download_json":"https://pith.science/pith/NLDKYELI3YA3RVULHNMSULSOIB.json","view_paper":"https://pith.science/paper/NLDKYELI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2407.21793&json=true","fetch_graph":"https://pith.science/api/pith-number/NLDKYELI3YA3RVULHNMSULSOIB/graph.json","fetch_events":"https://pith.science/api/pith-number/NLDKYELI3YA3RVULHNMSULSOIB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NLDKYELI3YA3RVULHNMSULSOIB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NLDKYELI3YA3RVULHNMSULSOIB/action/storage_attestation","attest_author":"https://pith.science/pith/NLDKYELI3YA3RVULHNMSULSOIB/action/author_attestation","sign_citation":"https://pith.science/pith/NLDKYELI3YA3RVULHNMSULSOIB/action/citation_signature","submit_replication":"https://pith.science/pith/NLDKYELI3YA3RVULHNMSULSOIB/action/replication_record"}},"created_at":"2026-07-05T10:06:29.704976+00:00","updated_at":"2026-07-05T10:06:29.704976+00:00"}