{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:FC7MNCNLHVXFS2LRASZYTLDNZN","short_pith_number":"pith:FC7MNCNL","schema_version":"1.0","canonical_sha256":"28bec689ab3d6e59697104b389ac6dcb685e7ba66cb8ec428b5ad18300891845","source":{"kind":"arxiv","id":"2207.01993","version":1},"attestation_state":"computed","paper":{"title":"Duality of Orthogonal and Symplectic Random Tensor Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Hannes Keppler, Razvan Gurau","submitted_at":"2022-07-05T12:21:54Z","abstract_excerpt":"The groups $O(N)$ and $Sp(N)$ are related by an analytic continuation to negative values of $N$, $O(-N)\\simeq Sp(N)$. This duality has been studied for vector models, $SO(N)$ and $Sp(N)$ gauge theories, as well as some random matrix ensembles. We extend this duality to real random tensor models of arbitrary order $D$ with no symmetry under permutation of the indices and with quartic interactions. The $N$ to $-N$ duality is shown to hold graph by graph to all orders in perturbation theory for the partition function, the free energy and the connected two point function."},"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":"2207.01993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2022-07-05T12:21:54Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"166cdd79050b2a7058ca80cf4e70978005104eb22bff9e3a780fa93f742c1bd8","abstract_canon_sha256":"0a1de1232de99dd5d8b09253f3d4e679f9703a62f004c91e63421734e9192125"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:37:46.390089Z","signature_b64":"Bblm5DPAJGO07g+NQlWTfs2ZPBdEYx4OqiQ1POOhk/4tgimAbEc5S4JPfTcbfJlDyyUYtUBoSeuXCTnc5s42Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28bec689ab3d6e59697104b389ac6dcb685e7ba66cb8ec428b5ad18300891845","last_reissued_at":"2026-07-05T04:37:46.389640Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:37:46.389640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Duality of Orthogonal and Symplectic Random Tensor Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Hannes Keppler, Razvan Gurau","submitted_at":"2022-07-05T12:21:54Z","abstract_excerpt":"The groups $O(N)$ and $Sp(N)$ are related by an analytic continuation to negative values of $N$, $O(-N)\\simeq Sp(N)$. This duality has been studied for vector models, $SO(N)$ and $Sp(N)$ gauge theories, as well as some random matrix ensembles. We extend this duality to real random tensor models of arbitrary order $D$ with no symmetry under permutation of the indices and with quartic interactions. The $N$ to $-N$ duality is shown to hold graph by graph to all orders in perturbation theory for the partition function, the free energy and the connected two point function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.01993","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2207.01993/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":"2207.01993","created_at":"2026-07-05T04:37:46.389692+00:00"},{"alias_kind":"arxiv_version","alias_value":"2207.01993v1","created_at":"2026-07-05T04:37:46.389692+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.01993","created_at":"2026-07-05T04:37:46.389692+00:00"},{"alias_kind":"pith_short_12","alias_value":"FC7MNCNLHVXF","created_at":"2026-07-05T04:37:46.389692+00:00"},{"alias_kind":"pith_short_16","alias_value":"FC7MNCNLHVXFS2LR","created_at":"2026-07-05T04:37:46.389692+00:00"},{"alias_kind":"pith_short_8","alias_value":"FC7MNCNL","created_at":"2026-07-05T04:37:46.389692+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.09521","citing_title":"Negative heat capacities in spherically symmetric sectors of $d$-matrix quantum mechanics","ref_index":85,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FC7MNCNLHVXFS2LRASZYTLDNZN","json":"https://pith.science/pith/FC7MNCNLHVXFS2LRASZYTLDNZN.json","graph_json":"https://pith.science/api/pith-number/FC7MNCNLHVXFS2LRASZYTLDNZN/graph.json","events_json":"https://pith.science/api/pith-number/FC7MNCNLHVXFS2LRASZYTLDNZN/events.json","paper":"https://pith.science/paper/FC7MNCNL"},"agent_actions":{"view_html":"https://pith.science/pith/FC7MNCNLHVXFS2LRASZYTLDNZN","download_json":"https://pith.science/pith/FC7MNCNLHVXFS2LRASZYTLDNZN.json","view_paper":"https://pith.science/paper/FC7MNCNL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2207.01993&json=true","fetch_graph":"https://pith.science/api/pith-number/FC7MNCNLHVXFS2LRASZYTLDNZN/graph.json","fetch_events":"https://pith.science/api/pith-number/FC7MNCNLHVXFS2LRASZYTLDNZN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FC7MNCNLHVXFS2LRASZYTLDNZN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FC7MNCNLHVXFS2LRASZYTLDNZN/action/storage_attestation","attest_author":"https://pith.science/pith/FC7MNCNLHVXFS2LRASZYTLDNZN/action/author_attestation","sign_citation":"https://pith.science/pith/FC7MNCNLHVXFS2LRASZYTLDNZN/action/citation_signature","submit_replication":"https://pith.science/pith/FC7MNCNLHVXFS2LRASZYTLDNZN/action/replication_record"}},"created_at":"2026-07-05T04:37:46.389692+00:00","updated_at":"2026-07-05T04:37:46.389692+00:00"}