{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:BH3SME2FM3CIKFOVFK7ZHRQMXF","short_pith_number":"pith:BH3SME2F","schema_version":"1.0","canonical_sha256":"09f726134566c48515d52abf93c60cb96aad1acae769d85e47282e3e9e667575","source":{"kind":"arxiv","id":"1612.02452","version":2},"attestation_state":"computed","paper":{"title":"Asymptotic safety in three-dimensional SU(2) Group Field Theory: evidence in the local potential approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Sylvain Carrozza, Vincent Lahoche","submitted_at":"2016-12-07T21:15:51Z","abstract_excerpt":"We study the functional renormalization group of a three-dimensional tensorial Group Field Theory (GFT) with gauge group SU(2). This model generates (generalized) lattice gauge theory amplitudes, and is known to be perturbatively renormalizable up to order 6 melonic interactions. We consider a series of truncations of the exact Wetterich--Morris equation, which retain increasingly many perturbatively irrelevant melonic interactions. This tensorial analogue of the ordinary local potential approximation allows to investigate the existence of non-perturbative fixed points of the renormalization g"},"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":"1612.02452","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-07T21:15:51Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c270bc628b4754ff61a4c9d164b005aee73d0cdabb242127882f983019d4d23a","abstract_canon_sha256":"7c584ff6d01f1a81b6646f5d068337a9a3baba2a2324d481c82b4d7f30eb5377"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:15.745490Z","signature_b64":"XMcI0LOaehC5uhFesG75O1ENY1kQVqdtnAiJ8Q3arkbFaGZ0yWM+ryaOhtAqFuk5o6hNFOM/mBHpsQlUez64BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09f726134566c48515d52abf93c60cb96aad1acae769d85e47282e3e9e667575","last_reissued_at":"2026-05-18T00:44:15.744748Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:15.744748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic safety in three-dimensional SU(2) Group Field Theory: evidence in the local potential approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Sylvain Carrozza, Vincent Lahoche","submitted_at":"2016-12-07T21:15:51Z","abstract_excerpt":"We study the functional renormalization group of a three-dimensional tensorial Group Field Theory (GFT) with gauge group SU(2). This model generates (generalized) lattice gauge theory amplitudes, and is known to be perturbatively renormalizable up to order 6 melonic interactions. We consider a series of truncations of the exact Wetterich--Morris equation, which retain increasingly many perturbatively irrelevant melonic interactions. This tensorial analogue of the ordinary local potential approximation allows to investigate the existence of non-perturbative fixed points of the renormalization g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02452","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":"1612.02452","created_at":"2026-05-18T00:44:15.744864+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.02452v2","created_at":"2026-05-18T00:44:15.744864+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02452","created_at":"2026-05-18T00:44:15.744864+00:00"},{"alias_kind":"pith_short_12","alias_value":"BH3SME2FM3CI","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"BH3SME2FM3CIKFOV","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"BH3SME2F","created_at":"2026-05-18T12:30:07.202191+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/BH3SME2FM3CIKFOVFK7ZHRQMXF","json":"https://pith.science/pith/BH3SME2FM3CIKFOVFK7ZHRQMXF.json","graph_json":"https://pith.science/api/pith-number/BH3SME2FM3CIKFOVFK7ZHRQMXF/graph.json","events_json":"https://pith.science/api/pith-number/BH3SME2FM3CIKFOVFK7ZHRQMXF/events.json","paper":"https://pith.science/paper/BH3SME2F"},"agent_actions":{"view_html":"https://pith.science/pith/BH3SME2FM3CIKFOVFK7ZHRQMXF","download_json":"https://pith.science/pith/BH3SME2FM3CIKFOVFK7ZHRQMXF.json","view_paper":"https://pith.science/paper/BH3SME2F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.02452&json=true","fetch_graph":"https://pith.science/api/pith-number/BH3SME2FM3CIKFOVFK7ZHRQMXF/graph.json","fetch_events":"https://pith.science/api/pith-number/BH3SME2FM3CIKFOVFK7ZHRQMXF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BH3SME2FM3CIKFOVFK7ZHRQMXF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BH3SME2FM3CIKFOVFK7ZHRQMXF/action/storage_attestation","attest_author":"https://pith.science/pith/BH3SME2FM3CIKFOVFK7ZHRQMXF/action/author_attestation","sign_citation":"https://pith.science/pith/BH3SME2FM3CIKFOVFK7ZHRQMXF/action/citation_signature","submit_replication":"https://pith.science/pith/BH3SME2FM3CIKFOVFK7ZHRQMXF/action/replication_record"}},"created_at":"2026-05-18T00:44:15.744864+00:00","updated_at":"2026-05-18T00:44:15.744864+00:00"}