{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ZME5XHRKDJTSSV3ZL7GEDA5LH3","short_pith_number":"pith:ZME5XHRK","canonical_record":{"source":{"id":"1305.3268","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2013-05-14T19:59:10Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"e5160f36db77f302d72f5cfeda39ae8cb6b97c44ee2afccb219864f58a88c6e2","abstract_canon_sha256":"5eb8b33fbeff3909bdb5f9a918e614cbfcca1c7f31f3749e8d748a8b73e2071e"},"schema_version":"1.0"},"canonical_sha256":"cb09db9e2a1a672957795fcc4183ab3ed0d48bc708f8b609f3ca2ccd8a634afe","source":{"kind":"arxiv","id":"1305.3268","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3268","created_at":"2026-05-18T03:05:44Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3268v3","created_at":"2026-05-18T03:05:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3268","created_at":"2026-05-18T03:05:44Z"},{"alias_kind":"pith_short_12","alias_value":"ZME5XHRKDJTS","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZME5XHRKDJTSSV3Z","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZME5XHRK","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ZME5XHRKDJTSSV3ZL7GEDA5LH3","target":"record","payload":{"canonical_record":{"source":{"id":"1305.3268","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2013-05-14T19:59:10Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"e5160f36db77f302d72f5cfeda39ae8cb6b97c44ee2afccb219864f58a88c6e2","abstract_canon_sha256":"5eb8b33fbeff3909bdb5f9a918e614cbfcca1c7f31f3749e8d748a8b73e2071e"},"schema_version":"1.0"},"canonical_sha256":"cb09db9e2a1a672957795fcc4183ab3ed0d48bc708f8b609f3ca2ccd8a634afe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:44.499686Z","signature_b64":"4TyXJTdl/00TM6gy7YKFHjj8KdTFHTZQ683z68c3av9XularWnZoQUgItMhKuIkFPcdUJlzH/LfKtvtYBVEXDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb09db9e2a1a672957795fcc4183ab3ed0d48bc708f8b609f3ca2ccd8a634afe","last_reissued_at":"2026-05-18T03:05:44.499174Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:44.499174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.3268","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:05:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HEcXUY1+B/an2Uawa6ssvTOTSQrlUcbfTn3iWcDlL74ueP2ODR4iUV+EhU2cWJJuJrj6bqwDqsTJAF6hO1ZECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:34:57.641537Z"},"content_sha256":"ba5bec19af4ce1a4a995daee167376fccd06ceab3bf8c3da16e82e0f4d5fff9a","schema_version":"1.0","event_id":"sha256:ba5bec19af4ce1a4a995daee167376fccd06ceab3bf8c3da16e82e0f4d5fff9a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ZME5XHRKDJTSSV3ZL7GEDA5LH3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the existence of 0/1 polytopes with high semidefinite extension complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"cs.CC","authors_text":"Daniel Dadush, Jop Bri\\\"et, Sebastian Pokutta","submitted_at":"2013-05-14T19:59:10Z","abstract_excerpt":"In Rothvo\\ss{} it was shown that there exists a 0/1 polytope (a polytope whose vertices are in \\{0,1\\}^{n}) such that any higher-dimensional polytope projecting to it must have 2^{\\Omega(n)} facets, i.e., its linear extension complexity is exponential. The question whether there exists a 0/1 polytope with high PSD extension complexity was left open. We answer this question in the affirmative by showing that there is a 0/1 polytope such that any spectrahedron projecting to it must be the intersection of a semidefinite cone of dimension~2^{\\Omega(n)} and an affine space. Our proof relies on a ne"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3268","kind":"arxiv","version":3},"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":"2026-05-18T03:05:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TI8BDCo7Osx+v1FWA9vrgaysygS4iyntC62cYE+v2qeGk9KuKNm3OPMtBTgQfGED8/joie4Yb+mNqRcs0th7BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:34:57.642190Z"},"content_sha256":"89417ed495c352d80e3152d0bb83b8331c9e59a76587fefed29928f50883e678","schema_version":"1.0","event_id":"sha256:89417ed495c352d80e3152d0bb83b8331c9e59a76587fefed29928f50883e678"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZME5XHRKDJTSSV3ZL7GEDA5LH3/bundle.json","state_url":"https://pith.science/pith/ZME5XHRKDJTSSV3ZL7GEDA5LH3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZME5XHRKDJTSSV3ZL7GEDA5LH3/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":"2026-05-26T23:34:57Z","links":{"resolver":"https://pith.science/pith/ZME5XHRKDJTSSV3ZL7GEDA5LH3","bundle":"https://pith.science/pith/ZME5XHRKDJTSSV3ZL7GEDA5LH3/bundle.json","state":"https://pith.science/pith/ZME5XHRKDJTSSV3ZL7GEDA5LH3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZME5XHRKDJTSSV3ZL7GEDA5LH3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZME5XHRKDJTSSV3ZL7GEDA5LH3","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":"5eb8b33fbeff3909bdb5f9a918e614cbfcca1c7f31f3749e8d748a8b73e2071e","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2013-05-14T19:59:10Z","title_canon_sha256":"e5160f36db77f302d72f5cfeda39ae8cb6b97c44ee2afccb219864f58a88c6e2"},"schema_version":"1.0","source":{"id":"1305.3268","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3268","created_at":"2026-05-18T03:05:44Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3268v3","created_at":"2026-05-18T03:05:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3268","created_at":"2026-05-18T03:05:44Z"},{"alias_kind":"pith_short_12","alias_value":"ZME5XHRKDJTS","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZME5XHRKDJTSSV3Z","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZME5XHRK","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:89417ed495c352d80e3152d0bb83b8331c9e59a76587fefed29928f50883e678","target":"graph","created_at":"2026-05-18T03:05:44Z","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":"In Rothvo\\ss{} it was shown that there exists a 0/1 polytope (a polytope whose vertices are in \\{0,1\\}^{n}) such that any higher-dimensional polytope projecting to it must have 2^{\\Omega(n)} facets, i.e., its linear extension complexity is exponential. The question whether there exists a 0/1 polytope with high PSD extension complexity was left open. We answer this question in the affirmative by showing that there is a 0/1 polytope such that any spectrahedron projecting to it must be the intersection of a semidefinite cone of dimension~2^{\\Omega(n)} and an affine space. Our proof relies on a ne","authors_text":"Daniel Dadush, Jop Bri\\\"et, Sebastian Pokutta","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2013-05-14T19:59:10Z","title":"On the existence of 0/1 polytopes with high semidefinite extension complexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3268","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:ba5bec19af4ce1a4a995daee167376fccd06ceab3bf8c3da16e82e0f4d5fff9a","target":"record","created_at":"2026-05-18T03:05:44Z","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":"5eb8b33fbeff3909bdb5f9a918e614cbfcca1c7f31f3749e8d748a8b73e2071e","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2013-05-14T19:59:10Z","title_canon_sha256":"e5160f36db77f302d72f5cfeda39ae8cb6b97c44ee2afccb219864f58a88c6e2"},"schema_version":"1.0","source":{"id":"1305.3268","kind":"arxiv","version":3}},"canonical_sha256":"cb09db9e2a1a672957795fcc4183ab3ed0d48bc708f8b609f3ca2ccd8a634afe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb09db9e2a1a672957795fcc4183ab3ed0d48bc708f8b609f3ca2ccd8a634afe","first_computed_at":"2026-05-18T03:05:44.499174Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:44.499174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4TyXJTdl/00TM6gy7YKFHjj8KdTFHTZQ683z68c3av9XularWnZoQUgItMhKuIkFPcdUJlzH/LfKtvtYBVEXDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:44.499686Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.3268","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba5bec19af4ce1a4a995daee167376fccd06ceab3bf8c3da16e82e0f4d5fff9a","sha256:89417ed495c352d80e3152d0bb83b8331c9e59a76587fefed29928f50883e678"],"state_sha256":"3988b5f646dc072dbe76df8f466577623cd493e88ddd160c0921bf0d231ca33e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mcm7gvPHtPzPgBDV63OIyYs690EbNJuQ5vghmgs3DK+rNoyw5mlCZqYHOZuZ5OwU9ifAg1rzfRl8v594tev3DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T23:34:57.645705Z","bundle_sha256":"b9dabe831033a1c555766689049ae1b557559f815bd1942468c418ecd800b0db"}}