{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:VNYRE2RHXV5OB5D6Z325D6MIQY","short_pith_number":"pith:VNYRE2RH","canonical_record":{"source":{"id":"1908.03910","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-11T13:52:04Z","cross_cats_sorted":[],"title_canon_sha256":"48310caec6a37ae09aa9f97ba5ea6e1925ac3406757630e69ac8ac6874b1e604","abstract_canon_sha256":"2a8baa687573c94dd71740d1e5dcd044b3b75ecef9ccad82c18c8f58afec664d"},"schema_version":"1.0"},"canonical_sha256":"ab71126a27bd7ae0f47ecef5d1f9888607bf0fa616926001e60364b1d31a2f27","source":{"kind":"arxiv","id":"1908.03910","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.03910","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"arxiv_version","alias_value":"1908.03910v2","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03910","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"pith_short_12","alias_value":"VNYRE2RHXV5O","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"pith_short_16","alias_value":"VNYRE2RHXV5OB5D6","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"pith_short_8","alias_value":"VNYRE2RH","created_at":"2026-07-05T00:35:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:VNYRE2RHXV5OB5D6Z325D6MIQY","target":"record","payload":{"canonical_record":{"source":{"id":"1908.03910","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-11T13:52:04Z","cross_cats_sorted":[],"title_canon_sha256":"48310caec6a37ae09aa9f97ba5ea6e1925ac3406757630e69ac8ac6874b1e604","abstract_canon_sha256":"2a8baa687573c94dd71740d1e5dcd044b3b75ecef9ccad82c18c8f58afec664d"},"schema_version":"1.0"},"canonical_sha256":"ab71126a27bd7ae0f47ecef5d1f9888607bf0fa616926001e60364b1d31a2f27","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:35:01.550083Z","signature_b64":"kqJJ19ug6LmojBmBfeppf2u+sMonRhc+j4HoOq3jgBPjhTH8pxpKXbWuOQm5WlQnjv9phvO3snPBS9wPbBzSBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab71126a27bd7ae0f47ecef5d1f9888607bf0fa616926001e60364b1d31a2f27","last_reissued_at":"2026-07-05T00:35:01.549576Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:35:01.549576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.03910","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:35:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QiaD9Forn/F7WUi/3ONcZk4ZEETbK2MJMUN4iwY52iWxd/N4ZSGpw77BLU1r4yJcul24PulRqghv6yrhji3pDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T11:32:21.679346Z"},"content_sha256":"be1543043862f1806222556a7b7c799b7d32fe12583776e5e3c64c57d8b562b4","schema_version":"1.0","event_id":"sha256:be1543043862f1806222556a7b7c799b7d32fe12583776e5e3c64c57d8b562b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:VNYRE2RHXV5OB5D6Z325D6MIQY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ward-constrained melonic renormalization group flow for the rank-four $\\phi^6$ tensorial group field theory","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dine Ousmane Samary, Vincent Lahoche","submitted_at":"2019-08-11T13:52:04Z","abstract_excerpt":"The nontrivial fixed point discovered for $\\phi^4$-marginal couplings in tensorial group field theories have been showed to be incompatible with Ward-Takahashi identities. In this previous analysis we have stated that the case of models with interactions of order greater than four could probably lead to a fixed point compatible with local Ward's identities. In this paper we focus on a rank-4 Abelian $\\phi^6$-just renormalizable tensorial group field theory and describe the renormalization group flow over the sub-theory space where Ward constraint is satisfied along the flow, by using an improv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03910","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/1908.03910/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:35:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H67Sgxr21Fx9P+PiW0hWNMQPJ7iwbxl7lLjsFNjOiN0DILa6yV1liRWhBKvQxOvs5okueM17c0NNaFtJOa9VCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T11:32:21.680237Z"},"content_sha256":"68b83ee45b5ca9af5a7a3aeb2af21e93c2afd972a7ca9389075955f613eddbf9","schema_version":"1.0","event_id":"sha256:68b83ee45b5ca9af5a7a3aeb2af21e93c2afd972a7ca9389075955f613eddbf9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VNYRE2RHXV5OB5D6Z325D6MIQY/bundle.json","state_url":"https://pith.science/pith/VNYRE2RHXV5OB5D6Z325D6MIQY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VNYRE2RHXV5OB5D6Z325D6MIQY/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":"2026-08-15T11:32:21Z","links":{"resolver":"https://pith.science/pith/VNYRE2RHXV5OB5D6Z325D6MIQY","bundle":"https://pith.science/pith/VNYRE2RHXV5OB5D6Z325D6MIQY/bundle.json","state":"https://pith.science/pith/VNYRE2RHXV5OB5D6Z325D6MIQY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VNYRE2RHXV5OB5D6Z325D6MIQY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VNYRE2RHXV5OB5D6Z325D6MIQY","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":"2a8baa687573c94dd71740d1e5dcd044b3b75ecef9ccad82c18c8f58afec664d","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-11T13:52:04Z","title_canon_sha256":"48310caec6a37ae09aa9f97ba5ea6e1925ac3406757630e69ac8ac6874b1e604"},"schema_version":"1.0","source":{"id":"1908.03910","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.03910","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"arxiv_version","alias_value":"1908.03910v2","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03910","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"pith_short_12","alias_value":"VNYRE2RHXV5O","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"pith_short_16","alias_value":"VNYRE2RHXV5OB5D6","created_at":"2026-07-05T00:35:01Z"},{"alias_kind":"pith_short_8","alias_value":"VNYRE2RH","created_at":"2026-07-05T00:35:01Z"}],"graph_snapshots":[{"event_id":"sha256:68b83ee45b5ca9af5a7a3aeb2af21e93c2afd972a7ca9389075955f613eddbf9","target":"graph","created_at":"2026-07-05T00:35:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.03910/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The nontrivial fixed point discovered for $\\phi^4$-marginal couplings in tensorial group field theories have been showed to be incompatible with Ward-Takahashi identities. In this previous analysis we have stated that the case of models with interactions of order greater than four could probably lead to a fixed point compatible with local Ward's identities. In this paper we focus on a rank-4 Abelian $\\phi^6$-just renormalizable tensorial group field theory and describe the renormalization group flow over the sub-theory space where Ward constraint is satisfied along the flow, by using an improv","authors_text":"Dine Ousmane Samary, Vincent Lahoche","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-11T13:52:04Z","title":"Ward-constrained melonic renormalization group flow for the rank-four $\\phi^6$ tensorial group field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03910","kind":"arxiv","version":2},"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:be1543043862f1806222556a7b7c799b7d32fe12583776e5e3c64c57d8b562b4","target":"record","created_at":"2026-07-05T00:35:01Z","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":"2a8baa687573c94dd71740d1e5dcd044b3b75ecef9ccad82c18c8f58afec664d","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-11T13:52:04Z","title_canon_sha256":"48310caec6a37ae09aa9f97ba5ea6e1925ac3406757630e69ac8ac6874b1e604"},"schema_version":"1.0","source":{"id":"1908.03910","kind":"arxiv","version":2}},"canonical_sha256":"ab71126a27bd7ae0f47ecef5d1f9888607bf0fa616926001e60364b1d31a2f27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab71126a27bd7ae0f47ecef5d1f9888607bf0fa616926001e60364b1d31a2f27","first_computed_at":"2026-07-05T00:35:01.549576Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:35:01.549576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kqJJ19ug6LmojBmBfeppf2u+sMonRhc+j4HoOq3jgBPjhTH8pxpKXbWuOQm5WlQnjv9phvO3snPBS9wPbBzSBw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:35:01.550083Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.03910","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be1543043862f1806222556a7b7c799b7d32fe12583776e5e3c64c57d8b562b4","sha256:68b83ee45b5ca9af5a7a3aeb2af21e93c2afd972a7ca9389075955f613eddbf9"],"state_sha256":"a28e0b2da08fb7a240e54e6c6bd21c38243765b4bdf31d2768a5cb6647ab0ca6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3KtAI1cbhcLBGJ0DY/HtOtJqylNY1tz/zs0yB6WEh5yuxKUeSf5NXpA8Fa7WnNPiLG1IOG16/rA1StR6cUNqBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T11:32:21.686493Z","bundle_sha256":"a46eb2aaaba8afcdb4d9a89510b997c69da1bb6bf84385ff84e932cedc943cb3"}}