{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:SIA3EJAHZXN3BAXUORAGVHTSJU","short_pith_number":"pith:SIA3EJAH","canonical_record":{"source":{"id":"2305.04034","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2023-05-06T12:48:17Z","cross_cats_sorted":["cs.DB","cs.LG"],"title_canon_sha256":"8ce66ec0b0f34ad04c9d0c014d70bd67c675afb8ebffaaa3b0e12a4bc7944375","abstract_canon_sha256":"848ec9f02ade17139069cfa6bac307df17841736d2793732a1ae1b3daeb85579"},"schema_version":"1.0"},"canonical_sha256":"9201b22407cddbb082f474406a9e724d1457f450e00831e92e4fda214223f4ac","source":{"kind":"arxiv","id":"2305.04034","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.04034","created_at":"2026-07-05T06:07:44Z"},{"alias_kind":"arxiv_version","alias_value":"2305.04034v1","created_at":"2026-07-05T06:07:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.04034","created_at":"2026-07-05T06:07:44Z"},{"alias_kind":"pith_short_12","alias_value":"SIA3EJAHZXN3","created_at":"2026-07-05T06:07:44Z"},{"alias_kind":"pith_short_16","alias_value":"SIA3EJAHZXN3BAXU","created_at":"2026-07-05T06:07:44Z"},{"alias_kind":"pith_short_8","alias_value":"SIA3EJAH","created_at":"2026-07-05T06:07:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:SIA3EJAHZXN3BAXUORAGVHTSJU","target":"record","payload":{"canonical_record":{"source":{"id":"2305.04034","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2023-05-06T12:48:17Z","cross_cats_sorted":["cs.DB","cs.LG"],"title_canon_sha256":"8ce66ec0b0f34ad04c9d0c014d70bd67c675afb8ebffaaa3b0e12a4bc7944375","abstract_canon_sha256":"848ec9f02ade17139069cfa6bac307df17841736d2793732a1ae1b3daeb85579"},"schema_version":"1.0"},"canonical_sha256":"9201b22407cddbb082f474406a9e724d1457f450e00831e92e4fda214223f4ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:07:44.016661Z","signature_b64":"NcHjQRqNdsjQd5J5ulMbT0B0yeOr2YQMLX1H3PwvDtvhfWfELTAK7tVrH10l+X+4B0QW4zlIqpwuB94zrt82DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9201b22407cddbb082f474406a9e724d1457f450e00831e92e4fda214223f4ac","last_reissued_at":"2026-07-05T06:07:44.016140Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:07:44.016140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.04034","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":"2026-07-05T06:07:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x61RCAPdg3cKC6uQxCfxxA1Y0uNakLRPiYH/lHG3kRR+jbcEfgdAtnEYNUAMVjxE81N0gc69m8voHIXetUFeCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:57:00.192525Z"},"content_sha256":"65f83fe2065d013638510439e34560b6900490ea2b2785ae82e78122b3226d36","schema_version":"1.0","event_id":"sha256:65f83fe2065d013638510439e34560b6900490ea2b2785ae82e78122b3226d36"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:SIA3EJAHZXN3BAXUORAGVHTSJU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wasserstein-Fisher-Rao Embedding: Logical Query Embeddings with Local Comparison and Global Transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DB","cs.LG"],"primary_cat":"cs.AI","authors_text":"Ginny Y. Wong, Hang Yin, Simon See, Weizhi Fei, Yangqiu Song, Zihao Wang","submitted_at":"2023-05-06T12:48:17Z","abstract_excerpt":"Answering complex queries on knowledge graphs is important but particularly challenging because of the data incompleteness. Query embedding methods address this issue by learning-based models and simulating logical reasoning with set operators. Previous works focus on specific forms of embeddings, but scoring functions between embeddings are underexplored. In contrast to existing scoring functions motivated by local comparison or global transport, this work investigates the local and global trade-off with unbalanced optimal transport theory. Specifically, we embed sets as bounded measures in $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.04034","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.04034/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":"2026-07-05T06:07:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wLJxnZdtqn30png/ycfEd5VeSXh8WeQxs2PiRWjg5WjRPe2IlR5hwQFzb4FUhpV/UxKoeV30ARw3pK/wzSu8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:57:00.193094Z"},"content_sha256":"d89baf9db31b0445df9905fef85f1913bd1e162305642e5ff1ff11ee00418b04","schema_version":"1.0","event_id":"sha256:d89baf9db31b0445df9905fef85f1913bd1e162305642e5ff1ff11ee00418b04"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SIA3EJAHZXN3BAXUORAGVHTSJU/bundle.json","state_url":"https://pith.science/pith/SIA3EJAHZXN3BAXUORAGVHTSJU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SIA3EJAHZXN3BAXUORAGVHTSJU/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":"2026-08-11T19:57:00Z","links":{"resolver":"https://pith.science/pith/SIA3EJAHZXN3BAXUORAGVHTSJU","bundle":"https://pith.science/pith/SIA3EJAHZXN3BAXUORAGVHTSJU/bundle.json","state":"https://pith.science/pith/SIA3EJAHZXN3BAXUORAGVHTSJU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SIA3EJAHZXN3BAXUORAGVHTSJU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:SIA3EJAHZXN3BAXUORAGVHTSJU","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":"848ec9f02ade17139069cfa6bac307df17841736d2793732a1ae1b3daeb85579","cross_cats_sorted":["cs.DB","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2023-05-06T12:48:17Z","title_canon_sha256":"8ce66ec0b0f34ad04c9d0c014d70bd67c675afb8ebffaaa3b0e12a4bc7944375"},"schema_version":"1.0","source":{"id":"2305.04034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.04034","created_at":"2026-07-05T06:07:44Z"},{"alias_kind":"arxiv_version","alias_value":"2305.04034v1","created_at":"2026-07-05T06:07:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.04034","created_at":"2026-07-05T06:07:44Z"},{"alias_kind":"pith_short_12","alias_value":"SIA3EJAHZXN3","created_at":"2026-07-05T06:07:44Z"},{"alias_kind":"pith_short_16","alias_value":"SIA3EJAHZXN3BAXU","created_at":"2026-07-05T06:07:44Z"},{"alias_kind":"pith_short_8","alias_value":"SIA3EJAH","created_at":"2026-07-05T06:07:44Z"}],"graph_snapshots":[{"event_id":"sha256:d89baf9db31b0445df9905fef85f1913bd1e162305642e5ff1ff11ee00418b04","target":"graph","created_at":"2026-07-05T06:07:44Z","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/2305.04034/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Answering complex queries on knowledge graphs is important but particularly challenging because of the data incompleteness. Query embedding methods address this issue by learning-based models and simulating logical reasoning with set operators. Previous works focus on specific forms of embeddings, but scoring functions between embeddings are underexplored. In contrast to existing scoring functions motivated by local comparison or global transport, this work investigates the local and global trade-off with unbalanced optimal transport theory. Specifically, we embed sets as bounded measures in $","authors_text":"Ginny Y. Wong, Hang Yin, Simon See, Weizhi Fei, Yangqiu Song, Zihao Wang","cross_cats":["cs.DB","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2023-05-06T12:48:17Z","title":"Wasserstein-Fisher-Rao Embedding: Logical Query Embeddings with Local Comparison and Global Transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.04034","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":"sha256:65f83fe2065d013638510439e34560b6900490ea2b2785ae82e78122b3226d36","target":"record","created_at":"2026-07-05T06:07:44Z","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":"848ec9f02ade17139069cfa6bac307df17841736d2793732a1ae1b3daeb85579","cross_cats_sorted":["cs.DB","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2023-05-06T12:48:17Z","title_canon_sha256":"8ce66ec0b0f34ad04c9d0c014d70bd67c675afb8ebffaaa3b0e12a4bc7944375"},"schema_version":"1.0","source":{"id":"2305.04034","kind":"arxiv","version":1}},"canonical_sha256":"9201b22407cddbb082f474406a9e724d1457f450e00831e92e4fda214223f4ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9201b22407cddbb082f474406a9e724d1457f450e00831e92e4fda214223f4ac","first_computed_at":"2026-07-05T06:07:44.016140Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:07:44.016140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NcHjQRqNdsjQd5J5ulMbT0B0yeOr2YQMLX1H3PwvDtvhfWfELTAK7tVrH10l+X+4B0QW4zlIqpwuB94zrt82DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:07:44.016661Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.04034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65f83fe2065d013638510439e34560b6900490ea2b2785ae82e78122b3226d36","sha256:d89baf9db31b0445df9905fef85f1913bd1e162305642e5ff1ff11ee00418b04"],"state_sha256":"93af9bcbc466bfa5b7b93efcc47aee6c291cef6d3b3ceaa2d22dfdb070cfca24"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"11/h3pb7p/fnpPKdLIn/iw/b1nCFDnryigZNBeq4huJvOABuLqHR2Ctoyo5YEii7qWyKy7dpNSLxUeIpQWA9Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T19:57:00.197584Z","bundle_sha256":"e3724416c0939b5f64a88df302a09a08ce1bbf824b44a6ddaf588a67eb9e1f72"}}