{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MWPW7TJEFXL4GF34BMVOHKGDX3","short_pith_number":"pith:MWPW7TJE","canonical_record":{"source":{"id":"1702.07180","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2017-02-23T11:38:36Z","cross_cats_sorted":[],"title_canon_sha256":"3e186070d151310787a5158cd62e79367eabed7cb9752b02483a6f487c933b2e","abstract_canon_sha256":"515f3961fc97843fed862554797b022529f8813dfe5018bada4d1ab815b8f2bb"},"schema_version":"1.0"},"canonical_sha256":"659f6fcd242dd7c3177c0b2ae3a8c3befd427d98e217dc3d8d9f240ee4474105","source":{"kind":"arxiv","id":"1702.07180","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07180","created_at":"2026-05-18T00:50:07Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07180v1","created_at":"2026-05-18T00:50:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07180","created_at":"2026-05-18T00:50:07Z"},{"alias_kind":"pith_short_12","alias_value":"MWPW7TJEFXL4","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MWPW7TJEFXL4GF34","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MWPW7TJE","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MWPW7TJEFXL4GF34BMVOHKGDX3","target":"record","payload":{"canonical_record":{"source":{"id":"1702.07180","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2017-02-23T11:38:36Z","cross_cats_sorted":[],"title_canon_sha256":"3e186070d151310787a5158cd62e79367eabed7cb9752b02483a6f487c933b2e","abstract_canon_sha256":"515f3961fc97843fed862554797b022529f8813dfe5018bada4d1ab815b8f2bb"},"schema_version":"1.0"},"canonical_sha256":"659f6fcd242dd7c3177c0b2ae3a8c3befd427d98e217dc3d8d9f240ee4474105","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:07.958410Z","signature_b64":"I2QxSNTkB6up4pp5hrHBJI875nw2ItvOi3BZzhLPWibgC9M1pD1onhGytkfrLlurfliO73LAe/41KpsExN1sAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"659f6fcd242dd7c3177c0b2ae3a8c3befd427d98e217dc3d8d9f240ee4474105","last_reissued_at":"2026-05-18T00:50:07.957283Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:07.957283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.07180","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:50:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M5Cdz7QC/+BiIPfoXnfbPUlOQq1pTJUnc4/3850BX6AGBWoDtWsRemHNwJEK3wjnb36UcCiWgEprzzc9FG+RCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:47:22.733992Z"},"content_sha256":"d1ce423aa97828baf0f197fb52275f0827284b41d31c803f20369f33e1c52792","schema_version":"1.0","event_id":"sha256:d1ce423aa97828baf0f197fb52275f0827284b41d31c803f20369f33e1c52792"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MWPW7TJEFXL4GF34BMVOHKGDX3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Small hitting-sets for tiny arithmetic circuits or: How to turn bad designs into good","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CC","authors_text":"Manindra Agrawal, Michael Forbes, Nitin Saxena, Sumanta Ghosh","submitted_at":"2017-02-23T11:38:36Z","abstract_excerpt":"We show that if we can design poly($s$)-time hitting-sets for $\\Sigma\\wedge^a\\Sigma\\Pi^{O(\\log s)}$ circuits of size $s$, where $a=\\omega(1)$ is arbitrarily small and the number of variables, or arity $n$, is $O(\\log s)$, then we can derandomize blackbox PIT for general circuits in quasipolynomial time. This also establishes that either E$\\not\\subseteq$\\#P/poly or that VP$\\ne$VNP. In fact, we show that one only needs a poly($s$)-time hitting-set against individual-degree $a'=\\omega(1)$ polynomials that are computable by a size-$s$ arity-$(\\log s)$ $\\Sigma\\Pi\\Sigma$ circuit (note: $\\Pi$ fanin m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07180","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:50:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LsV3izBrI3ZGtl8IOaNMMuiBKL4/IOytwqgU8lxgvvIASJ7PdtnUUqi4sP3vTaSaca+Q4RUzd18IB9J0opPTCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:47:22.734355Z"},"content_sha256":"b6013c89e2525cc7f96ea00ed47975f1fa5759769b46b61694861cec4d0936f0","schema_version":"1.0","event_id":"sha256:b6013c89e2525cc7f96ea00ed47975f1fa5759769b46b61694861cec4d0936f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MWPW7TJEFXL4GF34BMVOHKGDX3/bundle.json","state_url":"https://pith.science/pith/MWPW7TJEFXL4GF34BMVOHKGDX3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MWPW7TJEFXL4GF34BMVOHKGDX3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T18:47:22Z","links":{"resolver":"https://pith.science/pith/MWPW7TJEFXL4GF34BMVOHKGDX3","bundle":"https://pith.science/pith/MWPW7TJEFXL4GF34BMVOHKGDX3/bundle.json","state":"https://pith.science/pith/MWPW7TJEFXL4GF34BMVOHKGDX3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MWPW7TJEFXL4GF34BMVOHKGDX3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MWPW7TJEFXL4GF34BMVOHKGDX3","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":"515f3961fc97843fed862554797b022529f8813dfe5018bada4d1ab815b8f2bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2017-02-23T11:38:36Z","title_canon_sha256":"3e186070d151310787a5158cd62e79367eabed7cb9752b02483a6f487c933b2e"},"schema_version":"1.0","source":{"id":"1702.07180","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07180","created_at":"2026-05-18T00:50:07Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07180v1","created_at":"2026-05-18T00:50:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07180","created_at":"2026-05-18T00:50:07Z"},{"alias_kind":"pith_short_12","alias_value":"MWPW7TJEFXL4","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MWPW7TJEFXL4GF34","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MWPW7TJE","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:b6013c89e2525cc7f96ea00ed47975f1fa5759769b46b61694861cec4d0936f0","target":"graph","created_at":"2026-05-18T00:50:07Z","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 show that if we can design poly($s$)-time hitting-sets for $\\Sigma\\wedge^a\\Sigma\\Pi^{O(\\log s)}$ circuits of size $s$, where $a=\\omega(1)$ is arbitrarily small and the number of variables, or arity $n$, is $O(\\log s)$, then we can derandomize blackbox PIT for general circuits in quasipolynomial time. This also establishes that either E$\\not\\subseteq$\\#P/poly or that VP$\\ne$VNP. In fact, we show that one only needs a poly($s$)-time hitting-set against individual-degree $a'=\\omega(1)$ polynomials that are computable by a size-$s$ arity-$(\\log s)$ $\\Sigma\\Pi\\Sigma$ circuit (note: $\\Pi$ fanin m","authors_text":"Manindra Agrawal, Michael Forbes, Nitin Saxena, Sumanta Ghosh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2017-02-23T11:38:36Z","title":"Small hitting-sets for tiny arithmetic circuits or: How to turn bad designs into good"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07180","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:d1ce423aa97828baf0f197fb52275f0827284b41d31c803f20369f33e1c52792","target":"record","created_at":"2026-05-18T00:50:07Z","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":"515f3961fc97843fed862554797b022529f8813dfe5018bada4d1ab815b8f2bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2017-02-23T11:38:36Z","title_canon_sha256":"3e186070d151310787a5158cd62e79367eabed7cb9752b02483a6f487c933b2e"},"schema_version":"1.0","source":{"id":"1702.07180","kind":"arxiv","version":1}},"canonical_sha256":"659f6fcd242dd7c3177c0b2ae3a8c3befd427d98e217dc3d8d9f240ee4474105","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"659f6fcd242dd7c3177c0b2ae3a8c3befd427d98e217dc3d8d9f240ee4474105","first_computed_at":"2026-05-18T00:50:07.957283Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:07.957283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I2QxSNTkB6up4pp5hrHBJI875nw2ItvOi3BZzhLPWibgC9M1pD1onhGytkfrLlurfliO73LAe/41KpsExN1sAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:07.958410Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.07180","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1ce423aa97828baf0f197fb52275f0827284b41d31c803f20369f33e1c52792","sha256:b6013c89e2525cc7f96ea00ed47975f1fa5759769b46b61694861cec4d0936f0"],"state_sha256":"fe8576ad05eabfd08ec4144005d96d95c52a90b340449a4b8a5f40e916412f3a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a/0qBb/ovIgIUi6WLn42JeqMls1MyTMihI8hnUBhvyR/hlzm0nRL2PZklQFRU4MrgAqRIJYuz5HMOWqLi0u3Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T18:47:22.736486Z","bundle_sha256":"2c6926bbcc5c19736742f196a1c7224f3bfb28d4824f0e008aacac4b6e5f2a34"}}