{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:2EHWTOOTEJK2VFQBPUBIGJPARZ","short_pith_number":"pith:2EHWTOOT","schema_version":"1.0","canonical_sha256":"d10f69b9d32255aa96017d028325e08e6dc3d3ae4b61bef487e9ddf1778eddea","source":{"kind":"arxiv","id":"1706.00839","version":2},"attestation_state":"computed","paper":{"title":"On Large $N$ Limit of Symmetric Traceless Tensor Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Grigory Tarnopolsky, Igor R. Klebanov","submitted_at":"2017-06-02T20:17:53Z","abstract_excerpt":"For some theories where the degrees of freedom are tensors of rank $3$ or higher, there exist solvable large $N$ limits dominated by the melonic diagrams. Simple examples are provided by models containing one rank-$3$ tensor in the tri-fundamental representation of the $O(N)^3$ symmetry group. When the quartic interaction is assumed to have a special tetrahedral index structure, the coupling constant $g$ must be scaled as $N^{-3/2}$ in the melonic large $N$ limit. In this paper we consider the combinatorics of a large $N$ theory of one fully symmetric and traceless rank-$3$ tensor with the tet"},"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":"1706.00839","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-02T20:17:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cbc074836740620b50b767e80f1cf7cedf03c939cab1087940a076ff28863f2a","abstract_canon_sha256":"e49dd7bcb59932e52950924a3d15ec7c87795dd0528f0a0f0afe38993291491b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:09.756682Z","signature_b64":"8JyCWBKQ+lKkhRDH6McbUCvcuBe4ef2aBTXD7jdh36fEOnaGp+DfQH/Rueadn3ct7WcH8ds1pBlt9SzekoOgCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d10f69b9d32255aa96017d028325e08e6dc3d3ae4b61bef487e9ddf1778eddea","last_reissued_at":"2026-05-18T00:32:09.755950Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:09.755950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Large $N$ Limit of Symmetric Traceless Tensor Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Grigory Tarnopolsky, Igor R. Klebanov","submitted_at":"2017-06-02T20:17:53Z","abstract_excerpt":"For some theories where the degrees of freedom are tensors of rank $3$ or higher, there exist solvable large $N$ limits dominated by the melonic diagrams. Simple examples are provided by models containing one rank-$3$ tensor in the tri-fundamental representation of the $O(N)^3$ symmetry group. When the quartic interaction is assumed to have a special tetrahedral index structure, the coupling constant $g$ must be scaled as $N^{-3/2}$ in the melonic large $N$ limit. In this paper we consider the combinatorics of a large $N$ theory of one fully symmetric and traceless rank-$3$ tensor with the tet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00839","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":"1706.00839","created_at":"2026-05-18T00:32:09.756082+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.00839v2","created_at":"2026-05-18T00:32:09.756082+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00839","created_at":"2026-05-18T00:32:09.756082+00:00"},{"alias_kind":"pith_short_12","alias_value":"2EHWTOOTEJK2","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"2EHWTOOTEJK2VFQB","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"2EHWTOOT","created_at":"2026-05-18T12:30:55.937587+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.03531","citing_title":"Notes on Tensor Models and Tensor Field Theories","ref_index":85,"is_internal_anchor":true},{"citing_arxiv_id":"2604.19714","citing_title":"Bootstrapping Tensor Integrals","ref_index":18,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2EHWTOOTEJK2VFQBPUBIGJPARZ","json":"https://pith.science/pith/2EHWTOOTEJK2VFQBPUBIGJPARZ.json","graph_json":"https://pith.science/api/pith-number/2EHWTOOTEJK2VFQBPUBIGJPARZ/graph.json","events_json":"https://pith.science/api/pith-number/2EHWTOOTEJK2VFQBPUBIGJPARZ/events.json","paper":"https://pith.science/paper/2EHWTOOT"},"agent_actions":{"view_html":"https://pith.science/pith/2EHWTOOTEJK2VFQBPUBIGJPARZ","download_json":"https://pith.science/pith/2EHWTOOTEJK2VFQBPUBIGJPARZ.json","view_paper":"https://pith.science/paper/2EHWTOOT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.00839&json=true","fetch_graph":"https://pith.science/api/pith-number/2EHWTOOTEJK2VFQBPUBIGJPARZ/graph.json","fetch_events":"https://pith.science/api/pith-number/2EHWTOOTEJK2VFQBPUBIGJPARZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2EHWTOOTEJK2VFQBPUBIGJPARZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2EHWTOOTEJK2VFQBPUBIGJPARZ/action/storage_attestation","attest_author":"https://pith.science/pith/2EHWTOOTEJK2VFQBPUBIGJPARZ/action/author_attestation","sign_citation":"https://pith.science/pith/2EHWTOOTEJK2VFQBPUBIGJPARZ/action/citation_signature","submit_replication":"https://pith.science/pith/2EHWTOOTEJK2VFQBPUBIGJPARZ/action/replication_record"}},"created_at":"2026-05-18T00:32:09.756082+00:00","updated_at":"2026-05-18T00:32:09.756082+00:00"}