{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:ONAGZIGNO6WKCIOU3ZRRK5OBRB","short_pith_number":"pith:ONAGZIGN","canonical_record":{"source":{"id":"2011.00096","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2020-10-30T20:34:39Z","cross_cats_sorted":[],"title_canon_sha256":"abbf8681d56dac49fac3b20803baa538bc60888c58c9c33ac29cac6158e5258a","abstract_canon_sha256":"54f8db791baf88711e68d18eff1a048ee08e6e928912786e2391b8dc3898b906"},"schema_version":"1.0"},"canonical_sha256":"73406ca0cd77aca121d4de631575c1885985f6b31b5e9c1d0cafe72140b0ab8e","source":{"kind":"arxiv","id":"2011.00096","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.00096","created_at":"2026-07-05T04:27:27Z"},{"alias_kind":"arxiv_version","alias_value":"2011.00096v3","created_at":"2026-07-05T04:27:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.00096","created_at":"2026-07-05T04:27:27Z"},{"alias_kind":"pith_short_12","alias_value":"ONAGZIGNO6WK","created_at":"2026-07-05T04:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"ONAGZIGNO6WKCIOU","created_at":"2026-07-05T04:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"ONAGZIGN","created_at":"2026-07-05T04:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:ONAGZIGNO6WKCIOU3ZRRK5OBRB","target":"record","payload":{"canonical_record":{"source":{"id":"2011.00096","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2020-10-30T20:34:39Z","cross_cats_sorted":[],"title_canon_sha256":"abbf8681d56dac49fac3b20803baa538bc60888c58c9c33ac29cac6158e5258a","abstract_canon_sha256":"54f8db791baf88711e68d18eff1a048ee08e6e928912786e2391b8dc3898b906"},"schema_version":"1.0"},"canonical_sha256":"73406ca0cd77aca121d4de631575c1885985f6b31b5e9c1d0cafe72140b0ab8e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:27:27.614616Z","signature_b64":"JF0NceH7x+LFvg7N8a8EhFejyO2Si7fbrHZw7gPj1kY1SItn2WsZq1mz3WGV7acWCpdCJncLgwwVyQgrTAUBBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73406ca0cd77aca121d4de631575c1885985f6b31b5e9c1d0cafe72140b0ab8e","last_reissued_at":"2026-07-05T04:27:27.614118Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:27:27.614118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2011.00096","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":"2026-07-05T04:27:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"euBDF6NX8yiQdFBBAJuNAFAOjFH224kHNqBZm0WwIBitsjJyU1CFp79gQS9l7jq3FEEzsyWFc9zccP9n2+3LBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:23:32.962764Z"},"content_sha256":"0ec36c0439d906c55a0948d5f483fba5c1fe71dbf8206ecacacca8560e9c6576","schema_version":"1.0","event_id":"sha256:0ec36c0439d906c55a0948d5f483fba5c1fe71dbf8206ecacacca8560e9c6576"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:ONAGZIGNO6WKCIOU3ZRRK5OBRB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Independence in Infinite Probabilistic Databases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DB","authors_text":"Martin Grohe, Peter Lindner","submitted_at":"2020-10-30T20:34:39Z","abstract_excerpt":"Probabilistic databases (PDBs) model uncertainty in data. The current standard is to view PDBs as finite probability spaces over relational database instances. Since many attributes in typical databases have infinite domains, such as integers, strings, or real numbers, it is often more natural to view PDBs as infinite probability spaces over database instances. In this paper, we lay the mathematical foundations of infinite probabilistic databases. Our focus then is on independence assumptions. Tuple-independent PDBs play a central role in theory and practice of PDBs. Here, we study infinite tu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.00096","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2011.00096/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:27:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kGHm1+30QMnupBkzGvfMjqwYPD/PAxVAztKuC2qpeQJX4e2ech1SX8iuv/OlVCxNhR4Icot6hBe8bIoXOE8FCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:23:32.963142Z"},"content_sha256":"df7542ca6ea49f314760d529a77fdb8d0b27ed63b645610dc80ff08c8911546e","schema_version":"1.0","event_id":"sha256:df7542ca6ea49f314760d529a77fdb8d0b27ed63b645610dc80ff08c8911546e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ONAGZIGNO6WKCIOU3ZRRK5OBRB/bundle.json","state_url":"https://pith.science/pith/ONAGZIGNO6WKCIOU3ZRRK5OBRB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ONAGZIGNO6WKCIOU3ZRRK5OBRB/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":"2026-07-06T20:23:32Z","links":{"resolver":"https://pith.science/pith/ONAGZIGNO6WKCIOU3ZRRK5OBRB","bundle":"https://pith.science/pith/ONAGZIGNO6WKCIOU3ZRRK5OBRB/bundle.json","state":"https://pith.science/pith/ONAGZIGNO6WKCIOU3ZRRK5OBRB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ONAGZIGNO6WKCIOU3ZRRK5OBRB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:ONAGZIGNO6WKCIOU3ZRRK5OBRB","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":"54f8db791baf88711e68d18eff1a048ee08e6e928912786e2391b8dc3898b906","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2020-10-30T20:34:39Z","title_canon_sha256":"abbf8681d56dac49fac3b20803baa538bc60888c58c9c33ac29cac6158e5258a"},"schema_version":"1.0","source":{"id":"2011.00096","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.00096","created_at":"2026-07-05T04:27:27Z"},{"alias_kind":"arxiv_version","alias_value":"2011.00096v3","created_at":"2026-07-05T04:27:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.00096","created_at":"2026-07-05T04:27:27Z"},{"alias_kind":"pith_short_12","alias_value":"ONAGZIGNO6WK","created_at":"2026-07-05T04:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"ONAGZIGNO6WKCIOU","created_at":"2026-07-05T04:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"ONAGZIGN","created_at":"2026-07-05T04:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:df7542ca6ea49f314760d529a77fdb8d0b27ed63b645610dc80ff08c8911546e","target":"graph","created_at":"2026-07-05T04:27:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2011.00096/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Probabilistic databases (PDBs) model uncertainty in data. The current standard is to view PDBs as finite probability spaces over relational database instances. Since many attributes in typical databases have infinite domains, such as integers, strings, or real numbers, it is often more natural to view PDBs as infinite probability spaces over database instances. In this paper, we lay the mathematical foundations of infinite probabilistic databases. Our focus then is on independence assumptions. Tuple-independent PDBs play a central role in theory and practice of PDBs. Here, we study infinite tu","authors_text":"Martin Grohe, Peter Lindner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2020-10-30T20:34:39Z","title":"Independence in Infinite Probabilistic Databases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.00096","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":"sha256:0ec36c0439d906c55a0948d5f483fba5c1fe71dbf8206ecacacca8560e9c6576","target":"record","created_at":"2026-07-05T04:27:27Z","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":"54f8db791baf88711e68d18eff1a048ee08e6e928912786e2391b8dc3898b906","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2020-10-30T20:34:39Z","title_canon_sha256":"abbf8681d56dac49fac3b20803baa538bc60888c58c9c33ac29cac6158e5258a"},"schema_version":"1.0","source":{"id":"2011.00096","kind":"arxiv","version":3}},"canonical_sha256":"73406ca0cd77aca121d4de631575c1885985f6b31b5e9c1d0cafe72140b0ab8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73406ca0cd77aca121d4de631575c1885985f6b31b5e9c1d0cafe72140b0ab8e","first_computed_at":"2026-07-05T04:27:27.614118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:27:27.614118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JF0NceH7x+LFvg7N8a8EhFejyO2Si7fbrHZw7gPj1kY1SItn2WsZq1mz3WGV7acWCpdCJncLgwwVyQgrTAUBBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:27:27.614616Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.00096","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ec36c0439d906c55a0948d5f483fba5c1fe71dbf8206ecacacca8560e9c6576","sha256:df7542ca6ea49f314760d529a77fdb8d0b27ed63b645610dc80ff08c8911546e"],"state_sha256":"b4f692ae4e61ccce4822aed4246ceae037218079a46bf526b84cd8515f493419"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2CKReSGXPk39TkVgT3+ehDrBoeBeSh3wQjOrXWIXgFvqFvp0Ykv/4i/SjW3aw2xs9/xvH/5M2EjIn9nnyHgaDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T20:23:32.965093Z","bundle_sha256":"7d0ad2b017c907a687f150b3fd97847edf82c5af5a06ad84b12d5ec1dff66d80"}}