{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KADXM3SI5OKRVOEBEYKZOKCD6J","short_pith_number":"pith:KADXM3SI","canonical_record":{"source":{"id":"1410.4609","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-10-17T00:03:25Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"55ae3f3815958c007aef551aaaef6ca0c0eadf37843a5a349d46bac68820fa1e","abstract_canon_sha256":"c63164a24dd36c1647293da77d24671a7083bcecc7b044128df07ef3ac4318f7"},"schema_version":"1.0"},"canonical_sha256":"5007766e48eb951ab8812615972843f265375d2dae2f8e10e76e9e9d3b8a8559","source":{"kind":"arxiv","id":"1410.4609","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4609","created_at":"2026-05-18T02:39:55Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4609v1","created_at":"2026-05-18T02:39:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4609","created_at":"2026-05-18T02:39:55Z"},{"alias_kind":"pith_short_12","alias_value":"KADXM3SI5OKR","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KADXM3SI5OKRVOEB","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KADXM3SI","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KADXM3SI5OKRVOEBEYKZOKCD6J","target":"record","payload":{"canonical_record":{"source":{"id":"1410.4609","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-10-17T00:03:25Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"55ae3f3815958c007aef551aaaef6ca0c0eadf37843a5a349d46bac68820fa1e","abstract_canon_sha256":"c63164a24dd36c1647293da77d24671a7083bcecc7b044128df07ef3ac4318f7"},"schema_version":"1.0"},"canonical_sha256":"5007766e48eb951ab8812615972843f265375d2dae2f8e10e76e9e9d3b8a8559","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:55.162095Z","signature_b64":"LAM0tScFFq4i5IGvMQm7JtFRYMH9eyy4YOnynVXfauJZoJ6W2L88B69w7H1se5UMgcafxgmYLVJSlLb6czqGDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5007766e48eb951ab8812615972843f265375d2dae2f8e10e76e9e9d3b8a8559","last_reissued_at":"2026-05-18T02:39:55.161657Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:55.161657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.4609","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":"2026-05-18T02:39:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Y2E7nfHZOB59ACIqbYri51VB/qpdtE+w2hXVpz+7/dgYNZKmelog98Oq4kpbstNwyFDAOdBpE6MKDX3GcrxCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T02:13:52.493748Z"},"content_sha256":"e4510c41ccae87cc6ce8ba7108928d2ab6765f439fb0d1a0fd0c9c9554051e5e","schema_version":"1.0","event_id":"sha256:e4510c41ccae87cc6ce8ba7108928d2ab6765f439fb0d1a0fd0c9c9554051e5e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KADXM3SI5OKRVOEBEYKZOKCD6J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Application of localization to the multivariate moment problem II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.FA","authors_text":"Murray Marshall","submitted_at":"2014-10-17T00:03:25Z","abstract_excerpt":"The paper is a sequel to the paper \"Application of localization to the multivariate moment problem\" by the same author. A new criterion is presented for a positive semidefinite linear functional on the real polynomial algebra to correspond to a positive Borel measure on real n-space. The criterion is stronger than Nussbaum's criterion and is similar in nature to a criterion of Schmudgen. It is also explained how the criterion allows one to understand the support of the associated measure in terms of the non-negativity of the linear functional on a quadratic module of the real polynomial algebr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4609","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":"2026-05-18T02:39:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OcBc+WH0FjaWjVe9BGR4nmYVvRlfyuToVK8VOcYfnpcMtgWz2X0SeTMV2V/pGeOJ3sj7TK7PiCBhtJYgo6V8Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T02:13:52.494093Z"},"content_sha256":"238d4d6d8513bee43622e15d096204d1d9f1842f4450cb54a8749da8f4fc77d2","schema_version":"1.0","event_id":"sha256:238d4d6d8513bee43622e15d096204d1d9f1842f4450cb54a8749da8f4fc77d2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KADXM3SI5OKRVOEBEYKZOKCD6J/bundle.json","state_url":"https://pith.science/pith/KADXM3SI5OKRVOEBEYKZOKCD6J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KADXM3SI5OKRVOEBEYKZOKCD6J/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":"2026-05-31T02:13:52Z","links":{"resolver":"https://pith.science/pith/KADXM3SI5OKRVOEBEYKZOKCD6J","bundle":"https://pith.science/pith/KADXM3SI5OKRVOEBEYKZOKCD6J/bundle.json","state":"https://pith.science/pith/KADXM3SI5OKRVOEBEYKZOKCD6J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KADXM3SI5OKRVOEBEYKZOKCD6J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KADXM3SI5OKRVOEBEYKZOKCD6J","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":"c63164a24dd36c1647293da77d24671a7083bcecc7b044128df07ef3ac4318f7","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-10-17T00:03:25Z","title_canon_sha256":"55ae3f3815958c007aef551aaaef6ca0c0eadf37843a5a349d46bac68820fa1e"},"schema_version":"1.0","source":{"id":"1410.4609","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4609","created_at":"2026-05-18T02:39:55Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4609v1","created_at":"2026-05-18T02:39:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4609","created_at":"2026-05-18T02:39:55Z"},{"alias_kind":"pith_short_12","alias_value":"KADXM3SI5OKR","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KADXM3SI5OKRVOEB","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KADXM3SI","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:238d4d6d8513bee43622e15d096204d1d9f1842f4450cb54a8749da8f4fc77d2","target":"graph","created_at":"2026-05-18T02:39:55Z","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":"The paper is a sequel to the paper \"Application of localization to the multivariate moment problem\" by the same author. A new criterion is presented for a positive semidefinite linear functional on the real polynomial algebra to correspond to a positive Borel measure on real n-space. The criterion is stronger than Nussbaum's criterion and is similar in nature to a criterion of Schmudgen. It is also explained how the criterion allows one to understand the support of the associated measure in terms of the non-negativity of the linear functional on a quadratic module of the real polynomial algebr","authors_text":"Murray Marshall","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-10-17T00:03:25Z","title":"Application of localization to the multivariate moment problem II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4609","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:e4510c41ccae87cc6ce8ba7108928d2ab6765f439fb0d1a0fd0c9c9554051e5e","target":"record","created_at":"2026-05-18T02:39:55Z","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":"c63164a24dd36c1647293da77d24671a7083bcecc7b044128df07ef3ac4318f7","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-10-17T00:03:25Z","title_canon_sha256":"55ae3f3815958c007aef551aaaef6ca0c0eadf37843a5a349d46bac68820fa1e"},"schema_version":"1.0","source":{"id":"1410.4609","kind":"arxiv","version":1}},"canonical_sha256":"5007766e48eb951ab8812615972843f265375d2dae2f8e10e76e9e9d3b8a8559","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5007766e48eb951ab8812615972843f265375d2dae2f8e10e76e9e9d3b8a8559","first_computed_at":"2026-05-18T02:39:55.161657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:55.161657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LAM0tScFFq4i5IGvMQm7JtFRYMH9eyy4YOnynVXfauJZoJ6W2L88B69w7H1se5UMgcafxgmYLVJSlLb6czqGDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:55.162095Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.4609","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4510c41ccae87cc6ce8ba7108928d2ab6765f439fb0d1a0fd0c9c9554051e5e","sha256:238d4d6d8513bee43622e15d096204d1d9f1842f4450cb54a8749da8f4fc77d2"],"state_sha256":"e19e0242200215020f6373116c882aacb56f542b3c7a5d7e14d9109a1fb474a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S6xsDfND6CWZpevgqhWRLFGEhvck1kaHEAbWk3Y5ggxqs2iuetgPegf8i71Cxm+B3N6SEUWWlWtj2ek10/hBCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T02:13:52.496268Z","bundle_sha256":"a815c7d36c7b6344a73b9b732ca2ed6d0170c1184decc241722e5aec629cdb1c"}}