{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ISWUKS7W4RYS7RUPDX6D267OD4","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":"b6da3c3981344e76852ac09ad3d92da867d6d470c2b4b2025607a1fdb7859a9b","cross_cats_sorted":["math-ph","math.MP","math.NT","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-24T20:07:53Z","title_canon_sha256":"3d06008b170615ba6f64e9f40227c097d3bebf7d7da8c978793af9a60b336757"},"schema_version":"1.0","source":{"id":"1605.07639","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.07639","created_at":"2026-05-18T00:41:02Z"},{"alias_kind":"arxiv_version","alias_value":"1605.07639v2","created_at":"2026-05-18T00:41:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07639","created_at":"2026-05-18T00:41:02Z"},{"alias_kind":"pith_short_12","alias_value":"ISWUKS7W4RYS","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"ISWUKS7W4RYS7RUP","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"ISWUKS7W","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:50efce1a0e09ccb440e71b174fc1c5505b7e943aa3fcf9b0c7dcdc3016da6e1e","target":"graph","created_at":"2026-05-18T00:41:02Z","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"},"paper":{"abstract_excerpt":"One of the many remarkable properties of conformal field theory in two dimensions is its connection to algebraic geometry. Since every compact Riemann surface is a projective algebraic curve, many constructions of interest in physics (which a priori depend on the analytic structure of the spacetime) can be formulated in purely algebraic language. This opens the door to interesting generalizations, obtained by taking another choice of field: for instance, the $p$-adics. We generalize the AdS/CFT correspondence according to this principle; the result is a formulation of holography in which the b","authors_text":"Bogdan Stoica, Ingmar Saberi, Matilde Marcolli, Matthew Heydeman","cross_cats":["math-ph","math.MP","math.NT","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-24T20:07:53Z","title":"Tensor networks, $p$-adic fields, and algebraic curves: arithmetic and the AdS$_3$/CFT$_2$ correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07639","kind":"arxiv","version":2},"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":"sha256:371deae2fc873e463308fe1a2c0e39c46ee85f813de99153181455dd2d49dda5","target":"record","created_at":"2026-05-18T00:41:02Z","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":"b6da3c3981344e76852ac09ad3d92da867d6d470c2b4b2025607a1fdb7859a9b","cross_cats_sorted":["math-ph","math.MP","math.NT","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-24T20:07:53Z","title_canon_sha256":"3d06008b170615ba6f64e9f40227c097d3bebf7d7da8c978793af9a60b336757"},"schema_version":"1.0","source":{"id":"1605.07639","kind":"arxiv","version":2}},"canonical_sha256":"44ad454bf6e4712fc68f1dfc3d7bee1f15693792282db452b8945d0e64f6c481","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44ad454bf6e4712fc68f1dfc3d7bee1f15693792282db452b8945d0e64f6c481","first_computed_at":"2026-05-18T00:41:02.003195Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:02.003195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bwT2mLHR3CBlb3nifz4We2iUDiRwvnZuMoa9f7PWiG8InacwwGeCx+aQz6y6SMCfyme890Nb2b0X78gFkhTyAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:02.003679Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.07639","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:371deae2fc873e463308fe1a2c0e39c46ee85f813de99153181455dd2d49dda5","sha256:50efce1a0e09ccb440e71b174fc1c5505b7e943aa3fcf9b0c7dcdc3016da6e1e"],"state_sha256":"0970c68c44b70c30f47058ac7b48d02fb2c58d895118b65d1e4ae1d67bece461"}