{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:H23L2JCTT6QC3FRZ6RN4P5DNE2","short_pith_number":"pith:H23L2JCT","canonical_record":{"source":{"id":"1208.0778","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-08-03T15:56:31Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"14d161777e079ac883b4207e3e57ba6166dc4238d1e8e1a43957c62239248e52","abstract_canon_sha256":"bbfaee18dadf0ffcab15c65438dee253cf4b08dc49a3e228a5f5f089d2d29de7"},"schema_version":"1.0"},"canonical_sha256":"3eb6bd24539fa02d9639f45bc7f46d26976a8f5c7b9324bd253f867c15e24386","source":{"kind":"arxiv","id":"1208.0778","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.0778","created_at":"2026-05-18T03:49:09Z"},{"alias_kind":"arxiv_version","alias_value":"1208.0778v2","created_at":"2026-05-18T03:49:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.0778","created_at":"2026-05-18T03:49:09Z"},{"alias_kind":"pith_short_12","alias_value":"H23L2JCTT6QC","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"H23L2JCTT6QC3FRZ","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"H23L2JCT","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:H23L2JCTT6QC3FRZ6RN4P5DNE2","target":"record","payload":{"canonical_record":{"source":{"id":"1208.0778","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-08-03T15:56:31Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"14d161777e079ac883b4207e3e57ba6166dc4238d1e8e1a43957c62239248e52","abstract_canon_sha256":"bbfaee18dadf0ffcab15c65438dee253cf4b08dc49a3e228a5f5f089d2d29de7"},"schema_version":"1.0"},"canonical_sha256":"3eb6bd24539fa02d9639f45bc7f46d26976a8f5c7b9324bd253f867c15e24386","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:09.992251Z","signature_b64":"mw3W+zLFQ64K9BJ15MgLr9Dxvdw6fUhF6imSPPHWdg84NZSiCsxDF4XpAVQZTjqZ2rS53yCc73z+V5TgO/yOAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3eb6bd24539fa02d9639f45bc7f46d26976a8f5c7b9324bd253f867c15e24386","last_reissued_at":"2026-05-18T03:49:09.991720Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:09.991720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.0778","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:49:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v9xqd67c+1jUt5Ztc0NThkZZyfSkW80n5ZOhLXYo4atHoyJ0X4E950wPqs/UTcaQt5Q7pLNg3VaOB1O/qoS5Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:00:04.453226Z"},"content_sha256":"81646822ddfff9e43e97c12ff6d363fc95484f1450383493e1d14a286a0d0a87","schema_version":"1.0","event_id":"sha256:81646822ddfff9e43e97c12ff6d363fc95484f1450383493e1d14a286a0d0a87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:H23L2JCTT6QC3FRZ6RN4P5DNE2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simultaneous stabilization, avoidance and Goldberg's constants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.OC","authors_text":"Alexandre Eremenko","submitted_at":"2012-08-03T15:56:31Z","abstract_excerpt":"This is an exposition for mathematicians of some unsolved problems arising in control theory of linear time-independent systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.0778","kind":"arxiv","version":2},"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":"2026-05-18T03:49:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0HcXS397rhWMz+k3K5/tuTfgSNoRiILNZ8eXPy/AfqMgpB6fRk+1WyUbmamq3Cl88aI8376IrfG7PMcleDV2Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:00:04.453892Z"},"content_sha256":"da41f7f6a70114e4447e44bec187c003084b1d77010e18e6bbb1faf7429e81ca","schema_version":"1.0","event_id":"sha256:da41f7f6a70114e4447e44bec187c003084b1d77010e18e6bbb1faf7429e81ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H23L2JCTT6QC3FRZ6RN4P5DNE2/bundle.json","state_url":"https://pith.science/pith/H23L2JCTT6QC3FRZ6RN4P5DNE2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H23L2JCTT6QC3FRZ6RN4P5DNE2/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":"2026-05-28T22:00:04Z","links":{"resolver":"https://pith.science/pith/H23L2JCTT6QC3FRZ6RN4P5DNE2","bundle":"https://pith.science/pith/H23L2JCTT6QC3FRZ6RN4P5DNE2/bundle.json","state":"https://pith.science/pith/H23L2JCTT6QC3FRZ6RN4P5DNE2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H23L2JCTT6QC3FRZ6RN4P5DNE2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:H23L2JCTT6QC3FRZ6RN4P5DNE2","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":"bbfaee18dadf0ffcab15c65438dee253cf4b08dc49a3e228a5f5f089d2d29de7","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-08-03T15:56:31Z","title_canon_sha256":"14d161777e079ac883b4207e3e57ba6166dc4238d1e8e1a43957c62239248e52"},"schema_version":"1.0","source":{"id":"1208.0778","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.0778","created_at":"2026-05-18T03:49:09Z"},{"alias_kind":"arxiv_version","alias_value":"1208.0778v2","created_at":"2026-05-18T03:49:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.0778","created_at":"2026-05-18T03:49:09Z"},{"alias_kind":"pith_short_12","alias_value":"H23L2JCTT6QC","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"H23L2JCTT6QC3FRZ","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"H23L2JCT","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:da41f7f6a70114e4447e44bec187c003084b1d77010e18e6bbb1faf7429e81ca","target":"graph","created_at":"2026-05-18T03:49:09Z","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":"This is an exposition for mathematicians of some unsolved problems arising in control theory of linear time-independent systems.","authors_text":"Alexandre Eremenko","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-08-03T15:56:31Z","title":"Simultaneous stabilization, avoidance and Goldberg's constants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.0778","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":"sha256:81646822ddfff9e43e97c12ff6d363fc95484f1450383493e1d14a286a0d0a87","target":"record","created_at":"2026-05-18T03:49:09Z","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":"bbfaee18dadf0ffcab15c65438dee253cf4b08dc49a3e228a5f5f089d2d29de7","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-08-03T15:56:31Z","title_canon_sha256":"14d161777e079ac883b4207e3e57ba6166dc4238d1e8e1a43957c62239248e52"},"schema_version":"1.0","source":{"id":"1208.0778","kind":"arxiv","version":2}},"canonical_sha256":"3eb6bd24539fa02d9639f45bc7f46d26976a8f5c7b9324bd253f867c15e24386","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3eb6bd24539fa02d9639f45bc7f46d26976a8f5c7b9324bd253f867c15e24386","first_computed_at":"2026-05-18T03:49:09.991720Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:09.991720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mw3W+zLFQ64K9BJ15MgLr9Dxvdw6fUhF6imSPPHWdg84NZSiCsxDF4XpAVQZTjqZ2rS53yCc73z+V5TgO/yOAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:09.992251Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.0778","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81646822ddfff9e43e97c12ff6d363fc95484f1450383493e1d14a286a0d0a87","sha256:da41f7f6a70114e4447e44bec187c003084b1d77010e18e6bbb1faf7429e81ca"],"state_sha256":"f12e8d9627a6f85b2490de0fd924a5eacc3684b285d0e9f03c986e41b8ac93dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1GBtntIfiDXYH18Kp2zESOwg9RRF8KPCKa05J3+GoH/wa6WeQ/qdkdihQ2pCpysaZFswLrFZX0qE7P1ngWLxBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T22:00:04.457428Z","bundle_sha256":"d66fe64903125f4dd4acd978947f371c95f69daf591c273db716cee345bf77f9"}}