{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6WEDUEVBYSSLBA7VAKY3OPDAE2","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":"f53ef58d24cde6b4e3256592c7803f49219ac13706776db63483e18c8369c2b0","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2016-11-02T22:06:09Z","title_canon_sha256":"3321ed7c2ce7a98f688e4138b46c5bbe5671c3df67600967af1ca23747c5b7b5"},"schema_version":"1.0","source":{"id":"1611.00827","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00827","created_at":"2026-05-18T00:39:28Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00827v2","created_at":"2026-05-18T00:39:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00827","created_at":"2026-05-18T00:39:28Z"},{"alias_kind":"pith_short_12","alias_value":"6WEDUEVBYSSL","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"6WEDUEVBYSSLBA7V","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"6WEDUEVB","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:928d5a813484d1b9a7ffba43b8195ed441486342d07e58ea0416762f1eed40bf","target":"graph","created_at":"2026-05-18T00:39:28Z","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":"Valiant's famous determinant versus permanent problem is the flagship problem in algebraic complexity theory. Mulmuley and Sohoni (Siam J Comput 2001, 2008) introduced geometric complexity theory, an approach to study this and related problems via algebraic geometry and representation theory. Their approach works by multiplying the permanent polynomial with a high power of a linear form (a process called padding) and then comparing the orbit closures of the determinant and the padded permanent. This padding was recently used heavily to show no-go results for the method of shifted partial deriv","authors_text":"Christian Ikenmeyer, Fulvio Gesmundo, Greta Panova","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2016-11-02T22:06:09Z","title":"Geometric complexity theory and matrix powering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00827","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:c265b75e7f59b9bc6751e8390736aaac3d4853df1b53ccabb6068b708286a52c","target":"record","created_at":"2026-05-18T00:39:28Z","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":"f53ef58d24cde6b4e3256592c7803f49219ac13706776db63483e18c8369c2b0","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2016-11-02T22:06:09Z","title_canon_sha256":"3321ed7c2ce7a98f688e4138b46c5bbe5671c3df67600967af1ca23747c5b7b5"},"schema_version":"1.0","source":{"id":"1611.00827","kind":"arxiv","version":2}},"canonical_sha256":"f5883a12a1c4a4b083f502b1b73c6026ab7091ca074369f067b19882f3cc269a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5883a12a1c4a4b083f502b1b73c6026ab7091ca074369f067b19882f3cc269a","first_computed_at":"2026-05-18T00:39:28.932267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:28.932267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"opuupl2WC22/3koTCO2QucJTOP/gE+oIi1dZCUUZvegp942cGKVVdBgfip0XeE4kwsJ50EtIDcmHahq2wY7KBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:28.932876Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.00827","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c265b75e7f59b9bc6751e8390736aaac3d4853df1b53ccabb6068b708286a52c","sha256:928d5a813484d1b9a7ffba43b8195ed441486342d07e58ea0416762f1eed40bf"],"state_sha256":"60cc2f335b8c9aea02cfda26f922e0f8e8deba546355c01835b654d13f319ca4"}