{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3KTZKFSE6TQH4LX3FVBGFZQ46K","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":"def2f81b9702e009ce3a5c9c9d0036f7f3c67eb8cffd293b14462fa1a7cf4a33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-09-29T16:32:09Z","title_canon_sha256":"070d8ea6ba5da4a2f32f22afed8b1550306b7c44ba7528fcf142460ef9c0ac5b"},"schema_version":"1.0","source":{"id":"1409.8180","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.8180","created_at":"2026-05-18T01:13:45Z"},{"alias_kind":"arxiv_version","alias_value":"1409.8180v3","created_at":"2026-05-18T01:13:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.8180","created_at":"2026-05-18T01:13:45Z"},{"alias_kind":"pith_short_12","alias_value":"3KTZKFSE6TQH","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3KTZKFSE6TQH4LX3","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3KTZKFSE","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:5a63833eab5278031402633da1291cdb61eabefd67d4f496a8ac022e2511d6de","target":"graph","created_at":"2026-05-18T01:13:45Z","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":"We study products of precursors of spatially local operators, $W_{x_{n}}(t_{n}) ... W_{x_1}(t_1)$, where $W_x(t) = e^{-iHt} W_x e^{iHt}$. Using chaotic spin-chain numerics and gauge/gravity duality, we show that a single precursor fills a spatial region that grows linearly in $t$. In a lattice system, products of such operators can be represented using tensor networks. In gauge/gravity duality, they are related to Einstein-Rosen bridges supported by localized shock waves. We find a geometrical correspondence between these two descriptions, generalizing earlier work in the spatially homogeneous","authors_text":"Daniel A. Roberts, Douglas Stanford, Leonard Susskind","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-09-29T16:32:09Z","title":"Localized shocks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.8180","kind":"arxiv","version":3},"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:d6ee12308d97b73bad446575b99cdbbcb8bc3c9007a6d4a4b4ed6d50d1d07f0c","target":"record","created_at":"2026-05-18T01:13:45Z","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":"def2f81b9702e009ce3a5c9c9d0036f7f3c67eb8cffd293b14462fa1a7cf4a33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-09-29T16:32:09Z","title_canon_sha256":"070d8ea6ba5da4a2f32f22afed8b1550306b7c44ba7528fcf142460ef9c0ac5b"},"schema_version":"1.0","source":{"id":"1409.8180","kind":"arxiv","version":3}},"canonical_sha256":"daa7951644f4e07e2efb2d4262e61cf2b874b0f1fc069ae7e6b71cfeeb14f8c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"daa7951644f4e07e2efb2d4262e61cf2b874b0f1fc069ae7e6b71cfeeb14f8c3","first_computed_at":"2026-05-18T01:13:45.036130Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:45.036130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fm0dTC/R4xbNewLoJuQ1FPnx5gIU90kbayEBw5NxTXi/bBnzOj5sWi7je0dhvuFpZ1842XTEttMTdkkG5k8nDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:45.036636Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.8180","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6ee12308d97b73bad446575b99cdbbcb8bc3c9007a6d4a4b4ed6d50d1d07f0c","sha256:5a63833eab5278031402633da1291cdb61eabefd67d4f496a8ac022e2511d6de"],"state_sha256":"35c9b2ffee9963d7a1172aa1ca1935287aa2d7a00a0fada56623a477aae3504b"}