{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:RB4ZBN2RQ3VNR7Q2QKER52QK44","short_pith_number":"pith:RB4ZBN2R","canonical_record":{"source":{"id":"1707.06000","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-07-19T10:00:31Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"cd8908f6ff98cd39b101134a5d436fb18241487e74b3e2d58e8b669de2232f41","abstract_canon_sha256":"3e9730ee33081d0205dbeeb3f6b8cbf2d7eae11966fa41dee75812e2a3336169"},"schema_version":"1.0"},"canonical_sha256":"887990b75186ead8fe1a82891eea0ae7100581436ddff014d240d7cdeafa4daa","source":{"kind":"arxiv","id":"1707.06000","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.06000","created_at":"2026-05-18T00:39:57Z"},{"alias_kind":"arxiv_version","alias_value":"1707.06000v1","created_at":"2026-05-18T00:39:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.06000","created_at":"2026-05-18T00:39:57Z"},{"alias_kind":"pith_short_12","alias_value":"RB4ZBN2RQ3VN","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RB4ZBN2RQ3VNR7Q2","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RB4ZBN2R","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:RB4ZBN2RQ3VNR7Q2QKER52QK44","target":"record","payload":{"canonical_record":{"source":{"id":"1707.06000","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-07-19T10:00:31Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"cd8908f6ff98cd39b101134a5d436fb18241487e74b3e2d58e8b669de2232f41","abstract_canon_sha256":"3e9730ee33081d0205dbeeb3f6b8cbf2d7eae11966fa41dee75812e2a3336169"},"schema_version":"1.0"},"canonical_sha256":"887990b75186ead8fe1a82891eea0ae7100581436ddff014d240d7cdeafa4daa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:57.853179Z","signature_b64":"aU58CUbx9FvJ1LBiaJnrCAE60MiCVRCcRYfGROPBYtP/cwFXdeg2/4k6RNDP+nj+orbbS7j8ztZnmOg0utZHBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"887990b75186ead8fe1a82891eea0ae7100581436ddff014d240d7cdeafa4daa","last_reissued_at":"2026-05-18T00:39:57.852677Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:57.852677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.06000","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":"2026-05-18T00:39:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9UjIDaejt6mKYu21oaVXLwe31T/Gxkfm8S7QqGBHTG26UzRob2JHglNgcKGOaGE3TgvGp7hVZOisAj8uQ8xcCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:34:29.980385Z"},"content_sha256":"4c5b3fa8e416a59615c40b3838f6af202a9b3e1d53e8f2cffa90d11e975d0b15","schema_version":"1.0","event_id":"sha256:4c5b3fa8e416a59615c40b3838f6af202a9b3e1d53e8f2cffa90d11e975d0b15"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:RB4ZBN2RQ3VNR7Q2QKER52QK44","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the truncated matricial Stieltjes moment problem $\\mathsf{M}[[\\alpha,\\infty);(s_j)_{j=0}^m,\\leq]$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.CV","authors_text":"Bernd Fritzsche, Bernd Kirstein, Conrad M\\\"adler, Torsten Schr\\\"oder","submitted_at":"2017-07-19T10:00:31Z","abstract_excerpt":"This paper gives via Stieltjes transform a complete description of the solution set of a matricial truncated Stieltjes-type power moment problem in the non-degenerate and degenerate cases. The approach is based on the Schur type algorithm which was worked out in the papers [arXiv:1604.07240, arXiv:1604.07629]. Furthermore, the subset of parameters is determined which corresponds to another truncated matricial Stieltjes-type moment problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.06000","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":"2026-05-18T00:39:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vfmq9Kaf0SpzTNqO7XCtGMT3ApG86zrb5TiNNO+8qCamX9yNaI+OehYK434gabaJ5PVUzuTGIMsaJ3MQioYhBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:34:29.980789Z"},"content_sha256":"6e2f304f5cb8edf363a6d688b0c9ae338b604b8ab05a6576c46538172d94b314","schema_version":"1.0","event_id":"sha256:6e2f304f5cb8edf363a6d688b0c9ae338b604b8ab05a6576c46538172d94b314"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RB4ZBN2RQ3VNR7Q2QKER52QK44/bundle.json","state_url":"https://pith.science/pith/RB4ZBN2RQ3VNR7Q2QKER52QK44/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RB4ZBN2RQ3VNR7Q2QKER52QK44/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":"2026-05-31T01:34:29Z","links":{"resolver":"https://pith.science/pith/RB4ZBN2RQ3VNR7Q2QKER52QK44","bundle":"https://pith.science/pith/RB4ZBN2RQ3VNR7Q2QKER52QK44/bundle.json","state":"https://pith.science/pith/RB4ZBN2RQ3VNR7Q2QKER52QK44/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RB4ZBN2RQ3VNR7Q2QKER52QK44/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RB4ZBN2RQ3VNR7Q2QKER52QK44","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":"3e9730ee33081d0205dbeeb3f6b8cbf2d7eae11966fa41dee75812e2a3336169","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-07-19T10:00:31Z","title_canon_sha256":"cd8908f6ff98cd39b101134a5d436fb18241487e74b3e2d58e8b669de2232f41"},"schema_version":"1.0","source":{"id":"1707.06000","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.06000","created_at":"2026-05-18T00:39:57Z"},{"alias_kind":"arxiv_version","alias_value":"1707.06000v1","created_at":"2026-05-18T00:39:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.06000","created_at":"2026-05-18T00:39:57Z"},{"alias_kind":"pith_short_12","alias_value":"RB4ZBN2RQ3VN","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RB4ZBN2RQ3VNR7Q2","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RB4ZBN2R","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:6e2f304f5cb8edf363a6d688b0c9ae338b604b8ab05a6576c46538172d94b314","target":"graph","created_at":"2026-05-18T00:39:57Z","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 paper gives via Stieltjes transform a complete description of the solution set of a matricial truncated Stieltjes-type power moment problem in the non-degenerate and degenerate cases. The approach is based on the Schur type algorithm which was worked out in the papers [arXiv:1604.07240, arXiv:1604.07629]. Furthermore, the subset of parameters is determined which corresponds to another truncated matricial Stieltjes-type moment problem.","authors_text":"Bernd Fritzsche, Bernd Kirstein, Conrad M\\\"adler, Torsten Schr\\\"oder","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-07-19T10:00:31Z","title":"On the truncated matricial Stieltjes moment problem $\\mathsf{M}[[\\alpha,\\infty);(s_j)_{j=0}^m,\\leq]$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.06000","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":"sha256:4c5b3fa8e416a59615c40b3838f6af202a9b3e1d53e8f2cffa90d11e975d0b15","target":"record","created_at":"2026-05-18T00:39:57Z","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":"3e9730ee33081d0205dbeeb3f6b8cbf2d7eae11966fa41dee75812e2a3336169","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-07-19T10:00:31Z","title_canon_sha256":"cd8908f6ff98cd39b101134a5d436fb18241487e74b3e2d58e8b669de2232f41"},"schema_version":"1.0","source":{"id":"1707.06000","kind":"arxiv","version":1}},"canonical_sha256":"887990b75186ead8fe1a82891eea0ae7100581436ddff014d240d7cdeafa4daa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"887990b75186ead8fe1a82891eea0ae7100581436ddff014d240d7cdeafa4daa","first_computed_at":"2026-05-18T00:39:57.852677Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:57.852677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aU58CUbx9FvJ1LBiaJnrCAE60MiCVRCcRYfGROPBYtP/cwFXdeg2/4k6RNDP+nj+orbbS7j8ztZnmOg0utZHBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:57.853179Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.06000","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c5b3fa8e416a59615c40b3838f6af202a9b3e1d53e8f2cffa90d11e975d0b15","sha256:6e2f304f5cb8edf363a6d688b0c9ae338b604b8ab05a6576c46538172d94b314"],"state_sha256":"2adbe9e354c3007aac85c99b29e7867e75e4a48d9ef3a1ec2fc0dee66436d793"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hBi6/sD3B73kY7IpaQG1hVGhd6I/vy7jeiHmdvM7pAofiZwxvVGKoImPbYUNeD2QnXz1W876u3RMzqZ6tFAWBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:34:29.982807Z","bundle_sha256":"08fb715409a3c2b5e5a425b224100b19e5d84d77ad00013a08048d6bf9e3705f"}}