{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:SKUVXPOWMWQ4GE6SJ5SLYOUOKF","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"117d653402d96a8e8fdb7094fcfde4a3ba36222b8fa90413a1bac01ba6d04e67","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-03T11:03:58Z","title_canon_sha256":"f360d3ed09a4da6ecb3c5615e61c4eb29e60fbfa7fe2f4a7c75c7b124aab9ba1"},"schema_version":"1.0","source":{"id":"2608.02696","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.02696","created_at":"2026-08-05T00:39:26Z"},{"alias_kind":"arxiv_version","alias_value":"2608.02696v1","created_at":"2026-08-05T00:39:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.02696","created_at":"2026-08-05T00:39:26Z"},{"alias_kind":"pith_short_12","alias_value":"SKUVXPOWMWQ4","created_at":"2026-08-05T00:39:26Z"},{"alias_kind":"pith_short_16","alias_value":"SKUVXPOWMWQ4GE6S","created_at":"2026-08-05T00:39:26Z"},{"alias_kind":"pith_short_8","alias_value":"SKUVXPOW","created_at":"2026-08-05T00:39:26Z"}],"graph_snapshots":[{"event_id":"sha256:ee279717ff25903b5858181f2e05aebd7d533e93e675e7e6c9b388def4f9d302","target":"graph","created_at":"2026-08-05T00:39:26Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.02696/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"At large $N$, two coupled Sachdev-Ye-Kitaev models realize an eternal traversable wormhole with a discrete spectrum. We show that at finite $N$ the spectrum organizes into clusters labeled by operator size. Low-size clusters evolve into the conformal towers and define a weak-ergodicity-breaking subspace responsible for the long-lived wormhole revival dynamics. Moreover, the competition between size energy and size entropy provides a microscopic interpretation of the wormhole-black hole transition. These results reveal operator size as the bridge between the finite-$N$ spectrum and the emergent","authors_text":"Alfonso V. Ramallo, Javier Mas, Juan Santos-Su\\'arez, Mart\\'i Berenguer","cross_cats":["cond-mat.str-el","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-03T11:03:58Z","title":"Size Operator and Spectral Clustering in the Two Coupled SYK Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.02696","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6a674af78769029679257a5ef34264632b1c1509fc6e62d17219c818bfd09f4e","target":"record","created_at":"2026-08-05T00:39:26Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"117d653402d96a8e8fdb7094fcfde4a3ba36222b8fa90413a1bac01ba6d04e67","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-03T11:03:58Z","title_canon_sha256":"f360d3ed09a4da6ecb3c5615e61c4eb29e60fbfa7fe2f4a7c75c7b124aab9ba1"},"schema_version":"1.0","source":{"id":"2608.02696","kind":"arxiv","version":1}},"canonical_sha256":"92a95bbdd665a1c313d24f64bc3a8e514dff9dc85a751eaf46148f2f42f9f0f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92a95bbdd665a1c313d24f64bc3a8e514dff9dc85a751eaf46148f2f42f9f0f1","first_computed_at":"2026-08-05T00:39:26.671868Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-05T00:39:26.671868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q2h74ZGKkb1NCMll1c7DznxdzCCklsrTCNe6Ng57KtxxgocjP74e4tmfZ4Drl0ni5ioKOLBKh6XQDm8+ca9tBg==","signature_status":"signed_v1","signed_at":"2026-08-05T00:39:26.674787Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.02696","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a674af78769029679257a5ef34264632b1c1509fc6e62d17219c818bfd09f4e","sha256:ee279717ff25903b5858181f2e05aebd7d533e93e675e7e6c9b388def4f9d302"],"state_sha256":"c36fdc1558cb24d83126a89306d5996da6ff42bcac733b925b02a0ccddb3c2c6"}