{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:7TWR4Q3PBEGCYPON3ZUGQKBYNX","short_pith_number":"pith:7TWR4Q3P","schema_version":"1.0","canonical_sha256":"fced1e436f090c2c3dcdde686828386dd62b67a84142e55539e8538691a5c409","source":{"kind":"arxiv","id":"2108.08808","version":3},"attestation_state":"computed","paper":{"title":"Sparse SYK and traversable wormholes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Anderson Misobuchi, Elena Caceres, Rafael Pimentel","submitted_at":"2021-08-19T17:26:29Z","abstract_excerpt":"We investigate two sparse Sachdev-Ye-Kitaev (SYK) systems coupled by a bilinear term as a holographic quantum mechanical description of an eternal traversable wormhole in the low temperature limit. Each SYK system consists of $N$ Majorana fermions coupled by random $q$-body interactions. The degree of sparseness is captured by a regular hypergraph in such a way that the Hamiltonian contains exactly $k\\,N$ independent terms. We improve on the theoretical understanding of the sparseness property by using known measures of hypergraph expansion. We show that the sparse version of the two coupled S"},"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":"2108.08808","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-08-19T17:26:29Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"e0060d3babb3d7d6326fef43b78c3378b59d3cb339401bab966565237b0b0a14","abstract_canon_sha256":"5f66df3fbaf5cd8d6cbaa53f1afbd786023076310dcac5dbca1b463a39fcb1cb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:30:15.117975Z","signature_b64":"RLOlKUin9/oQvfKA4JEZosepDU0FmAi1zTypQ3MpCHjSlpPjZskYikZ6Se2SKBlivDPQAANES+BMcHgv0vNyCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fced1e436f090c2c3dcdde686828386dd62b67a84142e55539e8538691a5c409","last_reissued_at":"2026-07-05T03:30:15.117558Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:30:15.117558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sparse SYK and traversable wormholes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Anderson Misobuchi, Elena Caceres, Rafael Pimentel","submitted_at":"2021-08-19T17:26:29Z","abstract_excerpt":"We investigate two sparse Sachdev-Ye-Kitaev (SYK) systems coupled by a bilinear term as a holographic quantum mechanical description of an eternal traversable wormhole in the low temperature limit. Each SYK system consists of $N$ Majorana fermions coupled by random $q$-body interactions. The degree of sparseness is captured by a regular hypergraph in such a way that the Hamiltonian contains exactly $k\\,N$ independent terms. We improve on the theoretical understanding of the sparseness property by using known measures of hypergraph expansion. We show that the sparse version of the two coupled S"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.08808","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/2108.08808/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":"2108.08808","created_at":"2026-07-05T03:30:15.117611+00:00"},{"alias_kind":"arxiv_version","alias_value":"2108.08808v3","created_at":"2026-07-05T03:30:15.117611+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.08808","created_at":"2026-07-05T03:30:15.117611+00:00"},{"alias_kind":"pith_short_12","alias_value":"7TWR4Q3PBEGC","created_at":"2026-07-05T03:30:15.117611+00:00"},{"alias_kind":"pith_short_16","alias_value":"7TWR4Q3PBEGCYPON","created_at":"2026-07-05T03:30:15.117611+00:00"},{"alias_kind":"pith_short_8","alias_value":"7TWR4Q3P","created_at":"2026-07-05T03:30:15.117611+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.02854","citing_title":"Continuous-time evolution via probabilistic angle interpolation and its applications","ref_index":20,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7TWR4Q3PBEGCYPON3ZUGQKBYNX","json":"https://pith.science/pith/7TWR4Q3PBEGCYPON3ZUGQKBYNX.json","graph_json":"https://pith.science/api/pith-number/7TWR4Q3PBEGCYPON3ZUGQKBYNX/graph.json","events_json":"https://pith.science/api/pith-number/7TWR4Q3PBEGCYPON3ZUGQKBYNX/events.json","paper":"https://pith.science/paper/7TWR4Q3P"},"agent_actions":{"view_html":"https://pith.science/pith/7TWR4Q3PBEGCYPON3ZUGQKBYNX","download_json":"https://pith.science/pith/7TWR4Q3PBEGCYPON3ZUGQKBYNX.json","view_paper":"https://pith.science/paper/7TWR4Q3P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2108.08808&json=true","fetch_graph":"https://pith.science/api/pith-number/7TWR4Q3PBEGCYPON3ZUGQKBYNX/graph.json","fetch_events":"https://pith.science/api/pith-number/7TWR4Q3PBEGCYPON3ZUGQKBYNX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7TWR4Q3PBEGCYPON3ZUGQKBYNX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7TWR4Q3PBEGCYPON3ZUGQKBYNX/action/storage_attestation","attest_author":"https://pith.science/pith/7TWR4Q3PBEGCYPON3ZUGQKBYNX/action/author_attestation","sign_citation":"https://pith.science/pith/7TWR4Q3PBEGCYPON3ZUGQKBYNX/action/citation_signature","submit_replication":"https://pith.science/pith/7TWR4Q3PBEGCYPON3ZUGQKBYNX/action/replication_record"}},"created_at":"2026-07-05T03:30:15.117611+00:00","updated_at":"2026-07-05T03:30:15.117611+00:00"}