{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BMTWW2VBJRQ2ATQAEQT5A37NC2","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":"6509f0547f6616d9242edaa3d35800a2f1befa3e44c08dfd5f2aedfcbbef571d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-29T18:03:19Z","title_canon_sha256":"0df4eb1f5aa625b4992eb93974392cb5017ccad2684ffa0d9becd4138925c412"},"schema_version":"1.0","source":{"id":"1601.08211","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.08211","created_at":"2026-05-18T01:11:12Z"},{"alias_kind":"arxiv_version","alias_value":"1601.08211v1","created_at":"2026-05-18T01:11:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.08211","created_at":"2026-05-18T01:11:12Z"},{"alias_kind":"pith_short_12","alias_value":"BMTWW2VBJRQ2","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BMTWW2VBJRQ2ATQA","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BMTWW2VB","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:723909f3e3ea9cd975ec19db0b97c333b3e7e4deec6a6c8f7eaf19de8c560cd3","target":"graph","created_at":"2026-05-18T01:11:12Z","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":"Rank-d Tensorial Group Field Theories are quantum field theories defined on a group manifold $G^{\\times d}$, which represent a non-local generalization of standard QFT, and a candidate formalism for quantum gravity, since, when endowed with appropriate data, they can be interpreted as defining a field theoretic description of the fundamental building blocks of quantum spacetime. Their renormalisation analysis is crucial both for establishing their consistency as quantum field theories, and for studying the emergence of continuum spacetime and geometry from them. In this paper, we study the ren","authors_text":"Daniele Oriti, Joseph Ben Geloun, Riccardo Martini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-29T18:03:19Z","title":"Functional Renormalisation Group analysis of Tensorial Group Field Theories on $\\mathbb{R}^d$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.08211","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:e4ea93b70838b44f51a8ab3c7230589561d533cb5f390ec1e9dc99fd2d109829","target":"record","created_at":"2026-05-18T01:11:12Z","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":"6509f0547f6616d9242edaa3d35800a2f1befa3e44c08dfd5f2aedfcbbef571d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-29T18:03:19Z","title_canon_sha256":"0df4eb1f5aa625b4992eb93974392cb5017ccad2684ffa0d9becd4138925c412"},"schema_version":"1.0","source":{"id":"1601.08211","kind":"arxiv","version":1}},"canonical_sha256":"0b276b6aa14c61a04e002427d06fed16a06ef7ce4e05deae52fcc777be035184","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b276b6aa14c61a04e002427d06fed16a06ef7ce4e05deae52fcc777be035184","first_computed_at":"2026-05-18T01:11:12.833396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:12.833396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+XmsdScxlWds4zgxo+AK8tjJ0x0t4pOh603NrqLepyDJt8gulsuhO3MjMGDkLDfpFzzQYgoJdI+kF0ZAz+h3DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:12.833790Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.08211","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4ea93b70838b44f51a8ab3c7230589561d533cb5f390ec1e9dc99fd2d109829","sha256:723909f3e3ea9cd975ec19db0b97c333b3e7e4deec6a6c8f7eaf19de8c560cd3"],"state_sha256":"64b9a725f95c1805b1eb49e41f0b9e6cb84597949c306e8f1fed23b6160344aa"}