{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:Y3QNVRSAQADVWNMOS6RGHFX25Q","short_pith_number":"pith:Y3QNVRSA","canonical_record":{"source":{"id":"1908.07347","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2019-08-20T13:49:30Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"9a0b6e6276f9a7d0e2757b5e835b7431385de33bad66521c5c5a8132cd7905e7","abstract_canon_sha256":"e0352ccfb8b3ae524ed0d62c53211559428663d187b00f4112e19588162071e1"},"schema_version":"1.0"},"canonical_sha256":"c6e0dac64080075b358e97a26396faec16fb7ec6a97f2ec8698f311cd72c9752","source":{"kind":"arxiv","id":"1908.07347","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.07347","created_at":"2026-07-05T01:49:13Z"},{"alias_kind":"arxiv_version","alias_value":"1908.07347v3","created_at":"2026-07-05T01:49:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07347","created_at":"2026-07-05T01:49:13Z"},{"alias_kind":"pith_short_12","alias_value":"Y3QNVRSAQADV","created_at":"2026-07-05T01:49:13Z"},{"alias_kind":"pith_short_16","alias_value":"Y3QNVRSAQADVWNMO","created_at":"2026-07-05T01:49:13Z"},{"alias_kind":"pith_short_8","alias_value":"Y3QNVRSA","created_at":"2026-07-05T01:49:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:Y3QNVRSAQADVWNMOS6RGHFX25Q","target":"record","payload":{"canonical_record":{"source":{"id":"1908.07347","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2019-08-20T13:49:30Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"9a0b6e6276f9a7d0e2757b5e835b7431385de33bad66521c5c5a8132cd7905e7","abstract_canon_sha256":"e0352ccfb8b3ae524ed0d62c53211559428663d187b00f4112e19588162071e1"},"schema_version":"1.0"},"canonical_sha256":"c6e0dac64080075b358e97a26396faec16fb7ec6a97f2ec8698f311cd72c9752","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:49:13.904846Z","signature_b64":"UESj/1tU7AsONAa878aN6GFxccXBIZT6owADqdqo8InY2coocQC/7f7N05iAsLEGH7jNCF/T5WazGTZrCo8YDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6e0dac64080075b358e97a26396faec16fb7ec6a97f2ec8698f311cd72c9752","last_reissued_at":"2026-07-05T01:49:13.904406Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:49:13.904406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.07347","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":"2026-07-05T01:49:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VKCa0Ebky6dRDfEA7hMebi79eS6jqGp56l4mJ7WTDTZv7yHcsyQstrFjLQFYP2Js+hXsfllRYPtTEue9sVWKCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T11:43:52.438697Z"},"content_sha256":"add18bc7a973dcdfa9362d3fdfb0d971dfcd58ce83df8c68a669f1dbb222f0ab","schema_version":"1.0","event_id":"sha256:add18bc7a973dcdfa9362d3fdfb0d971dfcd58ce83df8c68a669f1dbb222f0ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:Y3QNVRSAQADVWNMOS6RGHFX25Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Density Matrices with Metric for Derivational Ambiguity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cs.CL","authors_text":"Adriana D. Correia, Henk T. C. Stoof, Michael Moortgat","submitted_at":"2019-08-20T13:49:30Z","abstract_excerpt":"Recent work on vector-based compositional natural language semantics has proposed the use of density matrices to model lexical ambiguity and (graded) entailment (e.g. Piedeleu et al 2015, Bankova et al 2019, Sadrzadeh et al 2018). Ambiguous word meanings, in this work, are represented as mixed states, and the compositional interpretation of phrases out of their constituent parts takes the form of a strongly monoidal functor sending the derivational morphisms of a pregroup syntax to linear maps in FdHilb. Our aims in this paper are threefold. Firstly, we replace the pregroup front end by a Lamb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07347","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/1908.07347/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":"2026-07-05T01:49:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H9M4PHp1RsGCBo8K4behS4oN5npg05J0UcRdMpFThpkAUuNwfYN1ZhcV4fwj+fP77UWJJ06dexME6VvU86lsDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T11:43:52.439555Z"},"content_sha256":"0ea5dffe5185de4fe680d077d7be02ad195f8b11d46c4f26ae089af24b582929","schema_version":"1.0","event_id":"sha256:0ea5dffe5185de4fe680d077d7be02ad195f8b11d46c4f26ae089af24b582929"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y3QNVRSAQADVWNMOS6RGHFX25Q/bundle.json","state_url":"https://pith.science/pith/Y3QNVRSAQADVWNMOS6RGHFX25Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y3QNVRSAQADVWNMOS6RGHFX25Q/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":"2026-08-16T11:43:52Z","links":{"resolver":"https://pith.science/pith/Y3QNVRSAQADVWNMOS6RGHFX25Q","bundle":"https://pith.science/pith/Y3QNVRSAQADVWNMOS6RGHFX25Q/bundle.json","state":"https://pith.science/pith/Y3QNVRSAQADVWNMOS6RGHFX25Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y3QNVRSAQADVWNMOS6RGHFX25Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:Y3QNVRSAQADVWNMOS6RGHFX25Q","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":"e0352ccfb8b3ae524ed0d62c53211559428663d187b00f4112e19588162071e1","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2019-08-20T13:49:30Z","title_canon_sha256":"9a0b6e6276f9a7d0e2757b5e835b7431385de33bad66521c5c5a8132cd7905e7"},"schema_version":"1.0","source":{"id":"1908.07347","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.07347","created_at":"2026-07-05T01:49:13Z"},{"alias_kind":"arxiv_version","alias_value":"1908.07347v3","created_at":"2026-07-05T01:49:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07347","created_at":"2026-07-05T01:49:13Z"},{"alias_kind":"pith_short_12","alias_value":"Y3QNVRSAQADV","created_at":"2026-07-05T01:49:13Z"},{"alias_kind":"pith_short_16","alias_value":"Y3QNVRSAQADVWNMO","created_at":"2026-07-05T01:49:13Z"},{"alias_kind":"pith_short_8","alias_value":"Y3QNVRSA","created_at":"2026-07-05T01:49:13Z"}],"graph_snapshots":[{"event_id":"sha256:0ea5dffe5185de4fe680d077d7be02ad195f8b11d46c4f26ae089af24b582929","target":"graph","created_at":"2026-07-05T01:49:13Z","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/1908.07347/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent work on vector-based compositional natural language semantics has proposed the use of density matrices to model lexical ambiguity and (graded) entailment (e.g. Piedeleu et al 2015, Bankova et al 2019, Sadrzadeh et al 2018). Ambiguous word meanings, in this work, are represented as mixed states, and the compositional interpretation of phrases out of their constituent parts takes the form of a strongly monoidal functor sending the derivational morphisms of a pregroup syntax to linear maps in FdHilb. Our aims in this paper are threefold. Firstly, we replace the pregroup front end by a Lamb","authors_text":"Adriana D. Correia, Henk T. C. Stoof, Michael Moortgat","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2019-08-20T13:49:30Z","title":"Density Matrices with Metric for Derivational Ambiguity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07347","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:add18bc7a973dcdfa9362d3fdfb0d971dfcd58ce83df8c68a669f1dbb222f0ab","target":"record","created_at":"2026-07-05T01:49:13Z","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":"e0352ccfb8b3ae524ed0d62c53211559428663d187b00f4112e19588162071e1","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2019-08-20T13:49:30Z","title_canon_sha256":"9a0b6e6276f9a7d0e2757b5e835b7431385de33bad66521c5c5a8132cd7905e7"},"schema_version":"1.0","source":{"id":"1908.07347","kind":"arxiv","version":3}},"canonical_sha256":"c6e0dac64080075b358e97a26396faec16fb7ec6a97f2ec8698f311cd72c9752","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6e0dac64080075b358e97a26396faec16fb7ec6a97f2ec8698f311cd72c9752","first_computed_at":"2026-07-05T01:49:13.904406Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:49:13.904406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UESj/1tU7AsONAa878aN6GFxccXBIZT6owADqdqo8InY2coocQC/7f7N05iAsLEGH7jNCF/T5WazGTZrCo8YDw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:49:13.904846Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.07347","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:add18bc7a973dcdfa9362d3fdfb0d971dfcd58ce83df8c68a669f1dbb222f0ab","sha256:0ea5dffe5185de4fe680d077d7be02ad195f8b11d46c4f26ae089af24b582929"],"state_sha256":"65f3e211b5648ea0c6a029ce16926306e073104b71f841982617c7ead673c080"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N1b0bYd9nVVWLWKbgqetiIEzGrJLi+B8sRxY0VRINyXZ4gYHpJMghzytRBUyGOpk1lPzMc36eKopENmypdhjBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T11:43:52.461198Z","bundle_sha256":"278a07518b9a4c9d49188752bddfa42d99560b3c56e719e5f9bca071711fbe38"}}