{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:HVIEPPZ4DGKV6BT7CXQ6BIUOYT","short_pith_number":"pith:HVIEPPZ4","schema_version":"1.0","canonical_sha256":"3d5047bf3c19955f067f15e1e0a28ec4dd80d383cf65f17b95d9873cae32cc8e","source":{"kind":"arxiv","id":"1902.02287","version":3},"attestation_state":"computed","paper":{"title":"Symmetry Breaking in Coupled SYK or Tensor Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Grigory Tarnopolsky, Igor R. Klebanov, Jaewon Kim, Wenli Zhao","submitted_at":"2019-02-06T17:24:47Z","abstract_excerpt":"We study a large $N$ tensor model with $O(N)^3$ symmetry containing two flavors of Majorana fermions, $\\psi_1^{abc}$ and $\\psi_2^{abc}$. We also study its random counterpart consisting of two coupled Sachdev-Ye-Kitaev models, each one containing $N_{\\rm SYK}$ Majorana fermions. In these models we assume tetrahedral quartic Hamiltonians which depend on a real coupling parameter $\\alpha$. We find a duality relation between two Hamiltonians with different values of $\\alpha$, which allows us to restrict the model to the range of $-1\\leq \\alpha\\leq 1/3$. The scaling dimension of the fermion number "},"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":"1902.02287","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-06T17:24:47Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"8b5a8b0e46bd1ce475404f53fa73328b992e99129ba391f9e1280c8e755a433d","abstract_canon_sha256":"f7bd8a6408c118c1cb8b9068639e7d329e2fdd6e2a2550028c65f7be6c86ff65"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:12.136369Z","signature_b64":"pPT7WBm/LDwXyQ/quMwUVKzNQyUyDuVU3PqmepJGpcBumW+6KLP2IpbgXBGm7x+tj9j0rucj6zN9Dm3kFuvRBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d5047bf3c19955f067f15e1e0a28ec4dd80d383cf65f17b95d9873cae32cc8e","last_reissued_at":"2026-05-17T23:44:12.135783Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:12.135783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry Breaking in Coupled SYK or Tensor Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Grigory Tarnopolsky, Igor R. Klebanov, Jaewon Kim, Wenli Zhao","submitted_at":"2019-02-06T17:24:47Z","abstract_excerpt":"We study a large $N$ tensor model with $O(N)^3$ symmetry containing two flavors of Majorana fermions, $\\psi_1^{abc}$ and $\\psi_2^{abc}$. We also study its random counterpart consisting of two coupled Sachdev-Ye-Kitaev models, each one containing $N_{\\rm SYK}$ Majorana fermions. In these models we assume tetrahedral quartic Hamiltonians which depend on a real coupling parameter $\\alpha$. We find a duality relation between two Hamiltonians with different values of $\\alpha$, which allows us to restrict the model to the range of $-1\\leq \\alpha\\leq 1/3$. The scaling dimension of the fermion number "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02287","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":""},"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":"1902.02287","created_at":"2026-05-17T23:44:12.135872+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.02287v3","created_at":"2026-05-17T23:44:12.135872+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02287","created_at":"2026-05-17T23:44:12.135872+00:00"},{"alias_kind":"pith_short_12","alias_value":"HVIEPPZ4DGKV","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"HVIEPPZ4DGKV6BT7","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"HVIEPPZ4","created_at":"2026-05-18T12:33:18.533446+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.03531","citing_title":"Notes on Tensor Models and Tensor Field Theories","ref_index":61,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HVIEPPZ4DGKV6BT7CXQ6BIUOYT","json":"https://pith.science/pith/HVIEPPZ4DGKV6BT7CXQ6BIUOYT.json","graph_json":"https://pith.science/api/pith-number/HVIEPPZ4DGKV6BT7CXQ6BIUOYT/graph.json","events_json":"https://pith.science/api/pith-number/HVIEPPZ4DGKV6BT7CXQ6BIUOYT/events.json","paper":"https://pith.science/paper/HVIEPPZ4"},"agent_actions":{"view_html":"https://pith.science/pith/HVIEPPZ4DGKV6BT7CXQ6BIUOYT","download_json":"https://pith.science/pith/HVIEPPZ4DGKV6BT7CXQ6BIUOYT.json","view_paper":"https://pith.science/paper/HVIEPPZ4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.02287&json=true","fetch_graph":"https://pith.science/api/pith-number/HVIEPPZ4DGKV6BT7CXQ6BIUOYT/graph.json","fetch_events":"https://pith.science/api/pith-number/HVIEPPZ4DGKV6BT7CXQ6BIUOYT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HVIEPPZ4DGKV6BT7CXQ6BIUOYT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HVIEPPZ4DGKV6BT7CXQ6BIUOYT/action/storage_attestation","attest_author":"https://pith.science/pith/HVIEPPZ4DGKV6BT7CXQ6BIUOYT/action/author_attestation","sign_citation":"https://pith.science/pith/HVIEPPZ4DGKV6BT7CXQ6BIUOYT/action/citation_signature","submit_replication":"https://pith.science/pith/HVIEPPZ4DGKV6BT7CXQ6BIUOYT/action/replication_record"}},"created_at":"2026-05-17T23:44:12.135872+00:00","updated_at":"2026-05-17T23:44:12.135872+00:00"}