{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:YZ4D36EJHMXAZ256JXV46UXQDU","short_pith_number":"pith:YZ4D36EJ","canonical_record":{"source":{"id":"1709.07301","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-09-21T13:12:25Z","cross_cats_sorted":[],"title_canon_sha256":"ab67b378f35bd76fcd54c9b6ab0fa8e0b7414493165eea8e444ce844c2b5f892","abstract_canon_sha256":"4e4cf12836db240d1badf2d5f353948ed99aa54c58566eb09c1330b9ab9d0079"},"schema_version":"1.0"},"canonical_sha256":"c6783df8893b2e0cebbe4debcf52f01d00ad24b14343bba87288523168447721","source":{"kind":"arxiv","id":"1709.07301","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.07301","created_at":"2026-05-17T23:46:04Z"},{"alias_kind":"arxiv_version","alias_value":"1709.07301v2","created_at":"2026-05-17T23:46:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07301","created_at":"2026-05-17T23:46:04Z"},{"alias_kind":"pith_short_12","alias_value":"YZ4D36EJHMXA","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"YZ4D36EJHMXAZ256","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"YZ4D36EJ","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:YZ4D36EJHMXAZ256JXV46UXQDU","target":"record","payload":{"canonical_record":{"source":{"id":"1709.07301","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-09-21T13:12:25Z","cross_cats_sorted":[],"title_canon_sha256":"ab67b378f35bd76fcd54c9b6ab0fa8e0b7414493165eea8e444ce844c2b5f892","abstract_canon_sha256":"4e4cf12836db240d1badf2d5f353948ed99aa54c58566eb09c1330b9ab9d0079"},"schema_version":"1.0"},"canonical_sha256":"c6783df8893b2e0cebbe4debcf52f01d00ad24b14343bba87288523168447721","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:04.496833Z","signature_b64":"Ml/Uzeu36+Yeco2PY7iSVH7l8gVqf/DOa6K2QEbifW35FmIbMKiQkd8HPZAqoqdyS081n7bLI36KShu0L8UABg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6783df8893b2e0cebbe4debcf52f01d00ad24b14343bba87288523168447721","last_reissued_at":"2026-05-17T23:46:04.496225Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:04.496225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.07301","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:46:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CpPJHLKHylRTb9SqaMNcIbk6lvCA/9dBcph+q7I7L4yNZrtHv2DEA0+yAW6V1q3SxLgbEaO7gMrfpnMn8dg1DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T14:44:29.461284Z"},"content_sha256":"de6357f5402b39cfe2251fcf9921e39f8ee80e9efc2d5d5067b1f0970dfe14a3","schema_version":"1.0","event_id":"sha256:de6357f5402b39cfe2251fcf9921e39f8ee80e9efc2d5d5067b1f0970dfe14a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:YZ4D36EJHMXAZ256JXV46UXQDU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some observations about generalized quantifiers in logics of imperfect information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Fausto Barbero","submitted_at":"2017-09-21T13:12:25Z","abstract_excerpt":"We analyse the two definitions of generalized quantifiers for logics of dependence and independence that have been proposed by F. Engstr\\\"om, comparing them with a more general, higher-order definition of team quantifier. We show that Engstr\\\"om's definitions (and other quantifiers from the literature) can be identified, by means of appropriate lifts, with special classes of team quantifiers. We point out that the new team quantifiers express a quantitative and a qualitative component, while Engstr\\\"om's quantifiers only range over the latter. We further argue that Engstr\\\"om's definitions are"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07301","kind":"arxiv","version":2},"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":"2026-05-17T23:46:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6fqxFMG7SEbtOFS4IaTDehAioGOtOmEVb/VqXBDoPG0L3OksKr8MJIcmvp6JTHcYTmoaTkmB4tw6wJLF8HpPDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T14:44:29.461646Z"},"content_sha256":"9deb8ad1857fc2b02607def9ea334119040c2963b140e55ddc116d9762972fcd","schema_version":"1.0","event_id":"sha256:9deb8ad1857fc2b02607def9ea334119040c2963b140e55ddc116d9762972fcd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YZ4D36EJHMXAZ256JXV46UXQDU/bundle.json","state_url":"https://pith.science/pith/YZ4D36EJHMXAZ256JXV46UXQDU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YZ4D36EJHMXAZ256JXV46UXQDU/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":"2026-07-01T14:44:29Z","links":{"resolver":"https://pith.science/pith/YZ4D36EJHMXAZ256JXV46UXQDU","bundle":"https://pith.science/pith/YZ4D36EJHMXAZ256JXV46UXQDU/bundle.json","state":"https://pith.science/pith/YZ4D36EJHMXAZ256JXV46UXQDU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YZ4D36EJHMXAZ256JXV46UXQDU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YZ4D36EJHMXAZ256JXV46UXQDU","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":"4e4cf12836db240d1badf2d5f353948ed99aa54c58566eb09c1330b9ab9d0079","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-09-21T13:12:25Z","title_canon_sha256":"ab67b378f35bd76fcd54c9b6ab0fa8e0b7414493165eea8e444ce844c2b5f892"},"schema_version":"1.0","source":{"id":"1709.07301","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.07301","created_at":"2026-05-17T23:46:04Z"},{"alias_kind":"arxiv_version","alias_value":"1709.07301v2","created_at":"2026-05-17T23:46:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07301","created_at":"2026-05-17T23:46:04Z"},{"alias_kind":"pith_short_12","alias_value":"YZ4D36EJHMXA","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"YZ4D36EJHMXAZ256","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"YZ4D36EJ","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:9deb8ad1857fc2b02607def9ea334119040c2963b140e55ddc116d9762972fcd","target":"graph","created_at":"2026-05-17T23:46:04Z","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":"We analyse the two definitions of generalized quantifiers for logics of dependence and independence that have been proposed by F. Engstr\\\"om, comparing them with a more general, higher-order definition of team quantifier. We show that Engstr\\\"om's definitions (and other quantifiers from the literature) can be identified, by means of appropriate lifts, with special classes of team quantifiers. We point out that the new team quantifiers express a quantitative and a qualitative component, while Engstr\\\"om's quantifiers only range over the latter. We further argue that Engstr\\\"om's definitions are","authors_text":"Fausto Barbero","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-09-21T13:12:25Z","title":"Some observations about generalized quantifiers in logics of imperfect information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07301","kind":"arxiv","version":2},"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:de6357f5402b39cfe2251fcf9921e39f8ee80e9efc2d5d5067b1f0970dfe14a3","target":"record","created_at":"2026-05-17T23:46:04Z","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":"4e4cf12836db240d1badf2d5f353948ed99aa54c58566eb09c1330b9ab9d0079","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-09-21T13:12:25Z","title_canon_sha256":"ab67b378f35bd76fcd54c9b6ab0fa8e0b7414493165eea8e444ce844c2b5f892"},"schema_version":"1.0","source":{"id":"1709.07301","kind":"arxiv","version":2}},"canonical_sha256":"c6783df8893b2e0cebbe4debcf52f01d00ad24b14343bba87288523168447721","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6783df8893b2e0cebbe4debcf52f01d00ad24b14343bba87288523168447721","first_computed_at":"2026-05-17T23:46:04.496225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:04.496225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ml/Uzeu36+Yeco2PY7iSVH7l8gVqf/DOa6K2QEbifW35FmIbMKiQkd8HPZAqoqdyS081n7bLI36KShu0L8UABg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:04.496833Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.07301","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de6357f5402b39cfe2251fcf9921e39f8ee80e9efc2d5d5067b1f0970dfe14a3","sha256:9deb8ad1857fc2b02607def9ea334119040c2963b140e55ddc116d9762972fcd"],"state_sha256":"a905795f8adabd07c8cedd44558e19a937b05dda6fc635d58b35445dc68facac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JXWPwIRfBXpiMWS9N+CXXQ/5dTXM4l+vxuGxKWom6iNNdkoSItTxagRhJ0ep3DO0WkNZXmycD/iqvA+pL3xNDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T14:44:29.463930Z","bundle_sha256":"30018c40e84cfb8b32cc06508b580e78a520887839c97edcbb5437848f365036"}}