{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:MWJQ3IJKEXWD2ACK4YQPVJSI5D","short_pith_number":"pith:MWJQ3IJK","schema_version":"1.0","canonical_sha256":"65930da12a25ec3d004ae620faa648e8c6c5fa5aae3fa9ee8548215e5435b3f1","source":{"kind":"arxiv","id":"2001.00934","version":3},"attestation_state":"computed","paper":{"title":"Pedagogical comments about nonperturbative Ward-constrained melonic renormalization group flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dine Ousmane Samary, Vincent Lahoche","submitted_at":"2020-01-02T20:08:10Z","abstract_excerpt":"This paper, in addition to our recent works, intends to explore the behavior of the Wetterich flow equations in the portion of the theory space spanned by non-branching melons constrained with Ward-identities. We focus on a rank-5 just-renormalizable tensorial group field theory and consider a non-trivial extension of the local potential approximation namely effective vertex expansion for just-renormalizable quartic melonic interactions, disregarding effects coming from disconnected interactions. Investigating the dynamically constrained flow, we show explicitly that results weakly rely on the"},"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":"2001.00934","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-01-02T20:08:10Z","cross_cats_sorted":[],"title_canon_sha256":"1f8746deebe9abd541e9164eaafad4a42b93932f268807c51accc9cbfdaeb2f1","abstract_canon_sha256":"e8a5208f3572d19ddd3dcb19b832b7f4c0d2db07d0f3a642a83f6749ccc10ce0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:55:59.633583Z","signature_b64":"Lfc0V+XeFXf+WknEHCK4vvGJbh5yXa+EpYkLdZzw/Cuobd3793fPMSt0qax8qTDBOJ/i3ubO82bUcnNvUHwBCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65930da12a25ec3d004ae620faa648e8c6c5fa5aae3fa9ee8548215e5435b3f1","last_reissued_at":"2026-07-05T03:55:59.633168Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:55:59.633168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pedagogical comments about nonperturbative Ward-constrained melonic renormalization group flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dine Ousmane Samary, Vincent Lahoche","submitted_at":"2020-01-02T20:08:10Z","abstract_excerpt":"This paper, in addition to our recent works, intends to explore the behavior of the Wetterich flow equations in the portion of the theory space spanned by non-branching melons constrained with Ward-identities. We focus on a rank-5 just-renormalizable tensorial group field theory and consider a non-trivial extension of the local potential approximation namely effective vertex expansion for just-renormalizable quartic melonic interactions, disregarding effects coming from disconnected interactions. Investigating the dynamically constrained flow, we show explicitly that results weakly rely on the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.00934","kind":"arxiv","version":3},"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/2001.00934/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":"2001.00934","created_at":"2026-07-05T03:55:59.633221+00:00"},{"alias_kind":"arxiv_version","alias_value":"2001.00934v3","created_at":"2026-07-05T03:55:59.633221+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.00934","created_at":"2026-07-05T03:55:59.633221+00:00"},{"alias_kind":"pith_short_12","alias_value":"MWJQ3IJKEXWD","created_at":"2026-07-05T03:55:59.633221+00:00"},{"alias_kind":"pith_short_16","alias_value":"MWJQ3IJKEXWD2ACK","created_at":"2026-07-05T03:55:59.633221+00:00"},{"alias_kind":"pith_short_8","alias_value":"MWJQ3IJK","created_at":"2026-07-05T03:55:59.633221+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.05507","citing_title":"Stochastic dynamics for group field theories II: Methods for nonequilibrium renormalization group","ref_index":16,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MWJQ3IJKEXWD2ACK4YQPVJSI5D","json":"https://pith.science/pith/MWJQ3IJKEXWD2ACK4YQPVJSI5D.json","graph_json":"https://pith.science/api/pith-number/MWJQ3IJKEXWD2ACK4YQPVJSI5D/graph.json","events_json":"https://pith.science/api/pith-number/MWJQ3IJKEXWD2ACK4YQPVJSI5D/events.json","paper":"https://pith.science/paper/MWJQ3IJK"},"agent_actions":{"view_html":"https://pith.science/pith/MWJQ3IJKEXWD2ACK4YQPVJSI5D","download_json":"https://pith.science/pith/MWJQ3IJKEXWD2ACK4YQPVJSI5D.json","view_paper":"https://pith.science/paper/MWJQ3IJK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2001.00934&json=true","fetch_graph":"https://pith.science/api/pith-number/MWJQ3IJKEXWD2ACK4YQPVJSI5D/graph.json","fetch_events":"https://pith.science/api/pith-number/MWJQ3IJKEXWD2ACK4YQPVJSI5D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MWJQ3IJKEXWD2ACK4YQPVJSI5D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MWJQ3IJKEXWD2ACK4YQPVJSI5D/action/storage_attestation","attest_author":"https://pith.science/pith/MWJQ3IJKEXWD2ACK4YQPVJSI5D/action/author_attestation","sign_citation":"https://pith.science/pith/MWJQ3IJKEXWD2ACK4YQPVJSI5D/action/citation_signature","submit_replication":"https://pith.science/pith/MWJQ3IJKEXWD2ACK4YQPVJSI5D/action/replication_record"}},"created_at":"2026-07-05T03:55:59.633221+00:00","updated_at":"2026-07-05T03:55:59.633221+00:00"}