{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:2PLPA3YUI4Z6KZL3Y5EUFNFX4N","short_pith_number":"pith:2PLPA3YU","canonical_record":{"source":{"id":"1508.01855","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-08T05:22:50Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"474599fe4fda3ac940fdf43c0246f2b589479681ccacfb8bb4b07f8815fa3000","abstract_canon_sha256":"4d8cd0566bdc1b3db059e09930d2059d9b3776f92bd695661d89a18387f53d25"},"schema_version":"1.0"},"canonical_sha256":"d3d6f06f144733e5657bc74942b4b7e377972376afb44384fd473f25669368e2","source":{"kind":"arxiv","id":"1508.01855","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.01855","created_at":"2026-05-18T01:24:53Z"},{"alias_kind":"arxiv_version","alias_value":"1508.01855v1","created_at":"2026-05-18T01:24:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01855","created_at":"2026-05-18T01:24:53Z"},{"alias_kind":"pith_short_12","alias_value":"2PLPA3YUI4Z6","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2PLPA3YUI4Z6KZL3","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2PLPA3YU","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:2PLPA3YUI4Z6KZL3Y5EUFNFX4N","target":"record","payload":{"canonical_record":{"source":{"id":"1508.01855","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-08T05:22:50Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"474599fe4fda3ac940fdf43c0246f2b589479681ccacfb8bb4b07f8815fa3000","abstract_canon_sha256":"4d8cd0566bdc1b3db059e09930d2059d9b3776f92bd695661d89a18387f53d25"},"schema_version":"1.0"},"canonical_sha256":"d3d6f06f144733e5657bc74942b4b7e377972376afb44384fd473f25669368e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:53.301215Z","signature_b64":"dibpx23cv4gk0ltVF82Ji4HNhIAf+o/pnNWc+BIZ8jnu7vo2yu8ETlSz0duef5fICRQsPQjNWD5buHluWDtLBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3d6f06f144733e5657bc74942b4b7e377972376afb44384fd473f25669368e2","last_reissued_at":"2026-05-18T01:24:53.300537Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:53.300537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.01855","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VgPKktnv3PSVan4d4u0DZLKo6U2Tp39Bi2n/+jzHfIZH1ixsxRNRECuH7r7uDF9zw9U5MYFrSU0w8LKL1XWHCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:42:58.937736Z"},"content_sha256":"f500c59bc21f8f56bb4402d294fac6de174875097871c5dfac10036950c33701","schema_version":"1.0","event_id":"sha256:f500c59bc21f8f56bb4402d294fac6de174875097871c5dfac10036950c33701"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:2PLPA3YUI4Z6KZL3Y5EUFNFX4N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Functional Renormalisation Group analysis of a Tensorial Group Field Theory on $\\mathbb{R}^3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Daniele Oriti, Joseph Ben Geloun, Riccardo Martini","submitted_at":"2015-08-08T05:22:50Z","abstract_excerpt":"We study a model of Tensorial Group Field Theory (TGFT) on $\\mathbb{R}^3$ from the point of view of the Functional Renormalisation Group. This is the first attempt to apply a renormalisation procedure to a TGFT model defined over a non-compact group manifold. IR divergences (with respect to the metric on $\\mathbb{R}$) coming from the non-compactness of the group are regularised via compactification, and a thermodynamic limit is then taken. We identify then IR and UV fixed points of the RG flow and find strong hints of a phase transition of the TGFT system from a symmetric to a broken or conden"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01855","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hiS+26BygwPE3/5QIaluGbtBPa6gdMH5zeezu9NifRyF2onfTd7Tpi/ySu4dqwDtb+GY8AH0G1KQdVKOmLeFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:42:58.938081Z"},"content_sha256":"9b0ea5113d3b19ef6dec8b6d7ebf5b881b4fabf4ddb995fe850d75282b31fd62","schema_version":"1.0","event_id":"sha256:9b0ea5113d3b19ef6dec8b6d7ebf5b881b4fabf4ddb995fe850d75282b31fd62"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2PLPA3YUI4Z6KZL3Y5EUFNFX4N/bundle.json","state_url":"https://pith.science/pith/2PLPA3YUI4Z6KZL3Y5EUFNFX4N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2PLPA3YUI4Z6KZL3Y5EUFNFX4N/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T22:42:58Z","links":{"resolver":"https://pith.science/pith/2PLPA3YUI4Z6KZL3Y5EUFNFX4N","bundle":"https://pith.science/pith/2PLPA3YUI4Z6KZL3Y5EUFNFX4N/bundle.json","state":"https://pith.science/pith/2PLPA3YUI4Z6KZL3Y5EUFNFX4N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2PLPA3YUI4Z6KZL3Y5EUFNFX4N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2PLPA3YUI4Z6KZL3Y5EUFNFX4N","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":"4d8cd0566bdc1b3db059e09930d2059d9b3776f92bd695661d89a18387f53d25","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-08T05:22:50Z","title_canon_sha256":"474599fe4fda3ac940fdf43c0246f2b589479681ccacfb8bb4b07f8815fa3000"},"schema_version":"1.0","source":{"id":"1508.01855","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.01855","created_at":"2026-05-18T01:24:53Z"},{"alias_kind":"arxiv_version","alias_value":"1508.01855v1","created_at":"2026-05-18T01:24:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01855","created_at":"2026-05-18T01:24:53Z"},{"alias_kind":"pith_short_12","alias_value":"2PLPA3YUI4Z6","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2PLPA3YUI4Z6KZL3","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2PLPA3YU","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:9b0ea5113d3b19ef6dec8b6d7ebf5b881b4fabf4ddb995fe850d75282b31fd62","target":"graph","created_at":"2026-05-18T01:24:53Z","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":"We study a model of Tensorial Group Field Theory (TGFT) on $\\mathbb{R}^3$ from the point of view of the Functional Renormalisation Group. This is the first attempt to apply a renormalisation procedure to a TGFT model defined over a non-compact group manifold. IR divergences (with respect to the metric on $\\mathbb{R}$) coming from the non-compactness of the group are regularised via compactification, and a thermodynamic limit is then taken. We identify then IR and UV fixed points of the RG flow and find strong hints of a phase transition of the TGFT system from a symmetric to a broken or conden","authors_text":"Daniele Oriti, Joseph Ben Geloun, Riccardo Martini","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-08T05:22:50Z","title":"Functional Renormalisation Group analysis of a Tensorial Group Field Theory on $\\mathbb{R}^3$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01855","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:f500c59bc21f8f56bb4402d294fac6de174875097871c5dfac10036950c33701","target":"record","created_at":"2026-05-18T01:24:53Z","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":"4d8cd0566bdc1b3db059e09930d2059d9b3776f92bd695661d89a18387f53d25","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-08T05:22:50Z","title_canon_sha256":"474599fe4fda3ac940fdf43c0246f2b589479681ccacfb8bb4b07f8815fa3000"},"schema_version":"1.0","source":{"id":"1508.01855","kind":"arxiv","version":1}},"canonical_sha256":"d3d6f06f144733e5657bc74942b4b7e377972376afb44384fd473f25669368e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3d6f06f144733e5657bc74942b4b7e377972376afb44384fd473f25669368e2","first_computed_at":"2026-05-18T01:24:53.300537Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:53.300537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dibpx23cv4gk0ltVF82Ji4HNhIAf+o/pnNWc+BIZ8jnu7vo2yu8ETlSz0duef5fICRQsPQjNWD5buHluWDtLBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:53.301215Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.01855","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f500c59bc21f8f56bb4402d294fac6de174875097871c5dfac10036950c33701","sha256:9b0ea5113d3b19ef6dec8b6d7ebf5b881b4fabf4ddb995fe850d75282b31fd62"],"state_sha256":"9639890e57965cb6b480b078e162f07409d0b4fab3c63e73bdc6786bdd157559"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CqKGG3hPab62szNxbA1np1tglIeADeLEaNA9Pzel3lWWoKHQNf7AfSyoWPjALtEk3tNn4wYOP5n4m8SlhzhdBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T22:42:58.940275Z","bundle_sha256":"6ed27f3fdab6fbed46303dcec94f22b1e6564056a31037f0c3c2daf02fed0df6"}}