{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:PGS4VC7JNNZHBXYYUZP27OZB56","short_pith_number":"pith:PGS4VC7J","schema_version":"1.0","canonical_sha256":"79a5ca8be96b7270df18a65fafbb21efa69c41a5d9fecad0fc822e17bd5d04e7","source":{"kind":"arxiv","id":"2202.03970","version":1},"attestation_state":"computed","paper":{"title":"Renormalization of the $3D$ $SU(N)$ scalar energy-momentum tensor using the Wilson flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Andreas J\\\"uttner, Antonin Portelli, Ben Kitching-Morley, Elizabeth Dobson, Henrique Bergallo Rocha, Joseph K. L. Lee, Kostas Skenderis, Luigi Del Debbio, Valentin Nourry","submitted_at":"2022-02-08T16:18:50Z","abstract_excerpt":"In the holographic approach to cosmology, cosmological observables are described in terms of correlators of a three-dimensional boundary quantum field theory. As a concrete model, we study the $3D$ massless $SU(N)$ scalar matrix field theory with a $\\phi^4$ interaction. On the lattice, the energy-momentum tensor (EMT) in this theory can mix with the operator $\\phi^2$. We utilize the Wilson Flow to renormalize the EMT on the lattice, and present numerical results for the mixing coefficient for $N = 2$. Obtaining the renormalized EMT will allow us to make predictions for the CMB power spectra in"},"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":"2202.03970","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2022-02-08T16:18:50Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"459de82f4fb7c6f394b8b5521d8845929705a230bbcc3de458adeb7f0b1b4363","abstract_canon_sha256":"7ab38b89c126ea8509548e360340e83b602c2bcc0a03db60d5d9edd1281fdd36"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:55:22.245539Z","signature_b64":"sZGQAED+hPFBpXH9JlJb8TEw+4+1SFn7L7bzfhojMVuJ9yyT0YutVN9P9bajk1q2fifLRM6qx73JVirwzqw/Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79a5ca8be96b7270df18a65fafbb21efa69c41a5d9fecad0fc822e17bd5d04e7","last_reissued_at":"2026-07-05T03:55:22.245018Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:55:22.245018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renormalization of the $3D$ $SU(N)$ scalar energy-momentum tensor using the Wilson flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Andreas J\\\"uttner, Antonin Portelli, Ben Kitching-Morley, Elizabeth Dobson, Henrique Bergallo Rocha, Joseph K. L. Lee, Kostas Skenderis, Luigi Del Debbio, Valentin Nourry","submitted_at":"2022-02-08T16:18:50Z","abstract_excerpt":"In the holographic approach to cosmology, cosmological observables are described in terms of correlators of a three-dimensional boundary quantum field theory. As a concrete model, we study the $3D$ massless $SU(N)$ scalar matrix field theory with a $\\phi^4$ interaction. On the lattice, the energy-momentum tensor (EMT) in this theory can mix with the operator $\\phi^2$. We utilize the Wilson Flow to renormalize the EMT on the lattice, and present numerical results for the mixing coefficient for $N = 2$. Obtaining the renormalized EMT will allow us to make predictions for the CMB power spectra in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.03970","kind":"arxiv","version":1},"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/2202.03970/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":"2202.03970","created_at":"2026-07-05T03:55:22.245085+00:00"},{"alias_kind":"arxiv_version","alias_value":"2202.03970v1","created_at":"2026-07-05T03:55:22.245085+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.03970","created_at":"2026-07-05T03:55:22.245085+00:00"},{"alias_kind":"pith_short_12","alias_value":"PGS4VC7JNNZH","created_at":"2026-07-05T03:55:22.245085+00:00"},{"alias_kind":"pith_short_16","alias_value":"PGS4VC7JNNZHBXYY","created_at":"2026-07-05T03:55:22.245085+00:00"},{"alias_kind":"pith_short_8","alias_value":"PGS4VC7J","created_at":"2026-07-05T03:55:22.245085+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/PGS4VC7JNNZHBXYYUZP27OZB56","json":"https://pith.science/pith/PGS4VC7JNNZHBXYYUZP27OZB56.json","graph_json":"https://pith.science/api/pith-number/PGS4VC7JNNZHBXYYUZP27OZB56/graph.json","events_json":"https://pith.science/api/pith-number/PGS4VC7JNNZHBXYYUZP27OZB56/events.json","paper":"https://pith.science/paper/PGS4VC7J"},"agent_actions":{"view_html":"https://pith.science/pith/PGS4VC7JNNZHBXYYUZP27OZB56","download_json":"https://pith.science/pith/PGS4VC7JNNZHBXYYUZP27OZB56.json","view_paper":"https://pith.science/paper/PGS4VC7J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2202.03970&json=true","fetch_graph":"https://pith.science/api/pith-number/PGS4VC7JNNZHBXYYUZP27OZB56/graph.json","fetch_events":"https://pith.science/api/pith-number/PGS4VC7JNNZHBXYYUZP27OZB56/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PGS4VC7JNNZHBXYYUZP27OZB56/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PGS4VC7JNNZHBXYYUZP27OZB56/action/storage_attestation","attest_author":"https://pith.science/pith/PGS4VC7JNNZHBXYYUZP27OZB56/action/author_attestation","sign_citation":"https://pith.science/pith/PGS4VC7JNNZHBXYYUZP27OZB56/action/citation_signature","submit_replication":"https://pith.science/pith/PGS4VC7JNNZHBXYYUZP27OZB56/action/replication_record"}},"created_at":"2026-07-05T03:55:22.245085+00:00","updated_at":"2026-07-05T03:55:22.245085+00:00"}