{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZXHLRFF5AZLQB24LQEUVOHLCD6","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":"1ceadf0604bec311c5b9cb1d34ff959c9076f15353e10bdeb759b8f0b823ab57","cross_cats_sorted":["cs.CC","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-09-22T17:07:59Z","title_canon_sha256":"6f9b24d1c76308c05252a8f8439cb360ec4162fc0933d900570dd2bc4110a637"},"schema_version":"1.0","source":{"id":"1709.07851","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.07851","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"arxiv_version","alias_value":"1709.07851v3","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07851","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"pith_short_12","alias_value":"ZXHLRFF5AZLQ","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"pith_short_16","alias_value":"ZXHLRFF5AZLQB24L","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"pith_short_8","alias_value":"ZXHLRFF5","created_at":"2026-07-05T05:17:22Z"}],"graph_snapshots":[{"event_id":"sha256:ffb1ed70a7d0fdc416ca68ca4dd3bc940829cc761dc181835040ce67644dff5a","target":"graph","created_at":"2026-07-05T05:17:22Z","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/1709.07851/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The asymptotic restriction problem for tensors is to decide, given tensors $s$ and $t$, whether the nth tensor power of $s$ can be obtained from the $(n+o(n))$th tensor power of t by applying linear maps to the tensor legs (this we call restriction), when $n$ goes to infinity. In this context, Volker Strassen, striving to understand the complexity of matrix multiplication, introduced in 1986 the asymptotic spectrum of tensors. Essentially, the asymptotic restriction problem for a family of tensors $X$, closed under direct sum and tensor product, reduces to finding all maps from $X$ to the real","authors_text":"Jeroen Zuiddam, Matthias Christandl, P\\'eter Vrana","cross_cats":["cs.CC","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-09-22T17:07:59Z","title":"Universal points in the asymptotic spectrum of tensors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07851","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":"sha256:446c8b4c36f279152836f5f1195fa9c96bcbbea7bf8493c646e365204fb910d7","target":"record","created_at":"2026-07-05T05:17:22Z","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":"1ceadf0604bec311c5b9cb1d34ff959c9076f15353e10bdeb759b8f0b823ab57","cross_cats_sorted":["cs.CC","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-09-22T17:07:59Z","title_canon_sha256":"6f9b24d1c76308c05252a8f8439cb360ec4162fc0933d900570dd2bc4110a637"},"schema_version":"1.0","source":{"id":"1709.07851","kind":"arxiv","version":3}},"canonical_sha256":"cdceb894bd065700eb8b8129571d621f8c87735db2686d7541b56def7da89430","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdceb894bd065700eb8b8129571d621f8c87735db2686d7541b56def7da89430","first_computed_at":"2026-07-05T05:17:22.371278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:17:22.371278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yoQdmNK+J6HAQ+XD56647XgMPpCwC+UWC+Xy1kSHHfRIyTaeljf7j1OhU36ymzYtB0gdbe97o6XLA7BAamRuCw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:17:22.371767Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.07851","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:446c8b4c36f279152836f5f1195fa9c96bcbbea7bf8493c646e365204fb910d7","sha256:ffb1ed70a7d0fdc416ca68ca4dd3bc940829cc761dc181835040ce67644dff5a"],"state_sha256":"1e3b8c70141a584cd1578388be5dbc2128e3dd23a3188af2f8b007ce18db3742"}