{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:MLNGWSJQKH5V54MFQUGJYRHUPO","short_pith_number":"pith:MLNGWSJQ","canonical_record":{"source":{"id":"1608.04327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-08-15T16:57:08Z","cross_cats_sorted":[],"title_canon_sha256":"afc5c836ee3e4547a07ed2bc4cdf0a3dcc9e099314500be71f549ee9d334e3b2","abstract_canon_sha256":"68ed5378744a822e83fe98501c2a156382a0a4878f896af5c11dc7ea8fa15e8e"},"schema_version":"1.0"},"canonical_sha256":"62da6b493051fb5ef185850c9c44f47b88562c6be86f736076635f27446785b0","source":{"kind":"arxiv","id":"1608.04327","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.04327","created_at":"2026-05-18T01:09:03Z"},{"alias_kind":"arxiv_version","alias_value":"1608.04327v1","created_at":"2026-05-18T01:09:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.04327","created_at":"2026-05-18T01:09:03Z"},{"alias_kind":"pith_short_12","alias_value":"MLNGWSJQKH5V","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MLNGWSJQKH5V54MF","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MLNGWSJQ","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:MLNGWSJQKH5V54MFQUGJYRHUPO","target":"record","payload":{"canonical_record":{"source":{"id":"1608.04327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-08-15T16:57:08Z","cross_cats_sorted":[],"title_canon_sha256":"afc5c836ee3e4547a07ed2bc4cdf0a3dcc9e099314500be71f549ee9d334e3b2","abstract_canon_sha256":"68ed5378744a822e83fe98501c2a156382a0a4878f896af5c11dc7ea8fa15e8e"},"schema_version":"1.0"},"canonical_sha256":"62da6b493051fb5ef185850c9c44f47b88562c6be86f736076635f27446785b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:03.794589Z","signature_b64":"hTZdWgpmNK1EjOZ/dAWKiFwi+eH8ESylFnE6+giI/I/PWY4x8HeAQbsKq8gaayePL0/WJ/QftGUelovOI/HLDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62da6b493051fb5ef185850c9c44f47b88562c6be86f736076635f27446785b0","last_reissued_at":"2026-05-18T01:09:03.794175Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:03.794175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.04327","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":"2026-05-18T01:09:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OpGHI0M0ZgcV+CdKnWnSVVX+yCClZItd1IhIsJOLb92Vw9akhhBFYcVKOUw3yQrSfIQX9TOBH+kmFFpQDNTkDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T17:47:23.086535Z"},"content_sha256":"07f49cdde5d4c6be88f8f8b5abcca18dcb585c8ca199809965fcba8e00fe7d70","schema_version":"1.0","event_id":"sha256:07f49cdde5d4c6be88f8f8b5abcca18dcb585c8ca199809965fcba8e00fe7d70"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:MLNGWSJQKH5V54MFQUGJYRHUPO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extremal multipliers of the Drury-Arveson space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Michael T. Jury, Robert T.W. Martin","submitted_at":"2016-08-15T16:57:08Z","abstract_excerpt":"We give a new characterization of the so-called quasi-extreme multipliers of the Drury-Arveson space $H^2_d$, and show that every quasi-extreme multiplier is an extreme point of the unit ball of the multiplier algebra of $H^2_d$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.04327","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":"2026-05-18T01:09:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WYhqKx22pgRR2IgnLY+OYHub1hbW4ejsL3pQ3vhhUmAWakdacYN79RMqbuE9Wf6Q8hgCNEXZy7THCXqvQVyXAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T17:47:23.086887Z"},"content_sha256":"c286b9fff1a764511bd0bf154853c5430e927adcacf2c58a636d17761e429aac","schema_version":"1.0","event_id":"sha256:c286b9fff1a764511bd0bf154853c5430e927adcacf2c58a636d17761e429aac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MLNGWSJQKH5V54MFQUGJYRHUPO/bundle.json","state_url":"https://pith.science/pith/MLNGWSJQKH5V54MFQUGJYRHUPO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MLNGWSJQKH5V54MFQUGJYRHUPO/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":"2026-05-30T17:47:23Z","links":{"resolver":"https://pith.science/pith/MLNGWSJQKH5V54MFQUGJYRHUPO","bundle":"https://pith.science/pith/MLNGWSJQKH5V54MFQUGJYRHUPO/bundle.json","state":"https://pith.science/pith/MLNGWSJQKH5V54MFQUGJYRHUPO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MLNGWSJQKH5V54MFQUGJYRHUPO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MLNGWSJQKH5V54MFQUGJYRHUPO","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":"68ed5378744a822e83fe98501c2a156382a0a4878f896af5c11dc7ea8fa15e8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-08-15T16:57:08Z","title_canon_sha256":"afc5c836ee3e4547a07ed2bc4cdf0a3dcc9e099314500be71f549ee9d334e3b2"},"schema_version":"1.0","source":{"id":"1608.04327","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.04327","created_at":"2026-05-18T01:09:03Z"},{"alias_kind":"arxiv_version","alias_value":"1608.04327v1","created_at":"2026-05-18T01:09:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.04327","created_at":"2026-05-18T01:09:03Z"},{"alias_kind":"pith_short_12","alias_value":"MLNGWSJQKH5V","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MLNGWSJQKH5V54MF","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MLNGWSJQ","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:c286b9fff1a764511bd0bf154853c5430e927adcacf2c58a636d17761e429aac","target":"graph","created_at":"2026-05-18T01:09:03Z","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 give a new characterization of the so-called quasi-extreme multipliers of the Drury-Arveson space $H^2_d$, and show that every quasi-extreme multiplier is an extreme point of the unit ball of the multiplier algebra of $H^2_d$.","authors_text":"Michael T. Jury, Robert T.W. Martin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-08-15T16:57:08Z","title":"Extremal multipliers of the Drury-Arveson space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.04327","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":"sha256:07f49cdde5d4c6be88f8f8b5abcca18dcb585c8ca199809965fcba8e00fe7d70","target":"record","created_at":"2026-05-18T01:09:03Z","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":"68ed5378744a822e83fe98501c2a156382a0a4878f896af5c11dc7ea8fa15e8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-08-15T16:57:08Z","title_canon_sha256":"afc5c836ee3e4547a07ed2bc4cdf0a3dcc9e099314500be71f549ee9d334e3b2"},"schema_version":"1.0","source":{"id":"1608.04327","kind":"arxiv","version":1}},"canonical_sha256":"62da6b493051fb5ef185850c9c44f47b88562c6be86f736076635f27446785b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62da6b493051fb5ef185850c9c44f47b88562c6be86f736076635f27446785b0","first_computed_at":"2026-05-18T01:09:03.794175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:03.794175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hTZdWgpmNK1EjOZ/dAWKiFwi+eH8ESylFnE6+giI/I/PWY4x8HeAQbsKq8gaayePL0/WJ/QftGUelovOI/HLDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:03.794589Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.04327","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07f49cdde5d4c6be88f8f8b5abcca18dcb585c8ca199809965fcba8e00fe7d70","sha256:c286b9fff1a764511bd0bf154853c5430e927adcacf2c58a636d17761e429aac"],"state_sha256":"3cb48bd49747ba1b7c61c373fdf6b8ac343ae90e659634c54dd0292e1acb1fa9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XunOvgAe9KFUbUN1TZfxKjB8W3Pq5Y5RlsiBieMmtGFEYnUJdrqp2TlsNa2v3VJwv+heix7nfU2S1NiUFWQNCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T17:47:23.089046Z","bundle_sha256":"37569e039e01f5e66351d8463fcf5c478ab5aa6dfbe0fa8e4d07e1290d6539a6"}}