{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:OOTOXJXUAV4BDYMBWMGITRYK7U","short_pith_number":"pith:OOTOXJXU","canonical_record":{"source":{"id":"1806.04313","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2018-06-12T03:25:15Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"689d1990aeabd254008a8089e52d25c6e7a9b6faf9d32868488dc3ce8b6264cb","abstract_canon_sha256":"f29afb4e0b799ba103adbacbe05c3e873a11b074c742d887972383e26eda1739"},"schema_version":"1.0"},"canonical_sha256":"73a6eba6f4057811e181b30c89c70afd35d3397d5096331117fc8c34e855ddf0","source":{"kind":"arxiv","id":"1806.04313","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.04313","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"arxiv_version","alias_value":"1806.04313v1","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04313","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"pith_short_12","alias_value":"OOTOXJXUAV4B","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OOTOXJXUAV4BDYMB","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OOTOXJXU","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:OOTOXJXUAV4BDYMBWMGITRYK7U","target":"record","payload":{"canonical_record":{"source":{"id":"1806.04313","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2018-06-12T03:25:15Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"689d1990aeabd254008a8089e52d25c6e7a9b6faf9d32868488dc3ce8b6264cb","abstract_canon_sha256":"f29afb4e0b799ba103adbacbe05c3e873a11b074c742d887972383e26eda1739"},"schema_version":"1.0"},"canonical_sha256":"73a6eba6f4057811e181b30c89c70afd35d3397d5096331117fc8c34e855ddf0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:35.910198Z","signature_b64":"flRPDKaA7UssTBcz9Fku4SHxOX1wZt9QFCoBZvxjvmUUmSJB36efaLOhE3QX6xc2QKda4tVPoYB6a5cJhPa3BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73a6eba6f4057811e181b30c89c70afd35d3397d5096331117fc8c34e855ddf0","last_reissued_at":"2026-05-18T00:13:35.909607Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:35.909607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.04313","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":"2026-05-18T00:13:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WXjuYUYaE4wXGnR71YhuGgclqRZ3MN+yHXi+DuERQHaSBc+3Ojx57UwQoAFlalOaHQLwlU5ndWt4CewqbZn+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:25:49.851004Z"},"content_sha256":"7bee0a67783c8cf272d47642b5306bada3bd91525799bd5c9d2aed881869a33e","schema_version":"1.0","event_id":"sha256:7bee0a67783c8cf272d47642b5306bada3bd91525799bd5c9d2aed881869a33e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:OOTOXJXUAV4BDYMBWMGITRYK7U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Embedding Text in Hyperbolic Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"cs.CL","authors_text":"Andrew M. Dai, Bhuwan Dhingra, Christopher J. Shallue, George E. Dahl, Mohammad Norouzi","submitted_at":"2018-06-12T03:25:15Z","abstract_excerpt":"Natural language text exhibits hierarchical structure in a variety of respects. Ideally, we could incorporate our prior knowledge of this hierarchical structure into unsupervised learning algorithms that work on text data. Recent work by Nickel & Kiela (2017) proposed using hyperbolic instead of Euclidean embedding spaces to represent hierarchical data and demonstrated encouraging results when embedding graphs. In this work, we extend their method with a re-parameterization technique that allows us to learn hyperbolic embeddings of arbitrarily parameterized objects. We apply this framework to "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04313","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":"2026-05-18T00:13:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WYT8lbff/hlzgvDReglMNqKlLUzYYf6EOblz7dvT5Mzo15EtoTW7nXL6YlZ5cSpp224CJfmTzp0+BZfoCEeMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:25:49.851681Z"},"content_sha256":"a4b0af04c3f8c5d7b7d808409359c31416a3416a4e4cdbf826d5a55d870e072f","schema_version":"1.0","event_id":"sha256:a4b0af04c3f8c5d7b7d808409359c31416a3416a4e4cdbf826d5a55d870e072f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OOTOXJXUAV4BDYMBWMGITRYK7U/bundle.json","state_url":"https://pith.science/pith/OOTOXJXUAV4BDYMBWMGITRYK7U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OOTOXJXUAV4BDYMBWMGITRYK7U/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":"2026-05-27T04:25:49Z","links":{"resolver":"https://pith.science/pith/OOTOXJXUAV4BDYMBWMGITRYK7U","bundle":"https://pith.science/pith/OOTOXJXUAV4BDYMBWMGITRYK7U/bundle.json","state":"https://pith.science/pith/OOTOXJXUAV4BDYMBWMGITRYK7U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OOTOXJXUAV4BDYMBWMGITRYK7U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OOTOXJXUAV4BDYMBWMGITRYK7U","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":"f29afb4e0b799ba103adbacbe05c3e873a11b074c742d887972383e26eda1739","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2018-06-12T03:25:15Z","title_canon_sha256":"689d1990aeabd254008a8089e52d25c6e7a9b6faf9d32868488dc3ce8b6264cb"},"schema_version":"1.0","source":{"id":"1806.04313","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.04313","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"arxiv_version","alias_value":"1806.04313v1","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04313","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"pith_short_12","alias_value":"OOTOXJXUAV4B","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OOTOXJXUAV4BDYMB","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OOTOXJXU","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:a4b0af04c3f8c5d7b7d808409359c31416a3416a4e4cdbf826d5a55d870e072f","target":"graph","created_at":"2026-05-18T00:13:35Z","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":"Natural language text exhibits hierarchical structure in a variety of respects. Ideally, we could incorporate our prior knowledge of this hierarchical structure into unsupervised learning algorithms that work on text data. Recent work by Nickel & Kiela (2017) proposed using hyperbolic instead of Euclidean embedding spaces to represent hierarchical data and demonstrated encouraging results when embedding graphs. In this work, we extend their method with a re-parameterization technique that allows us to learn hyperbolic embeddings of arbitrarily parameterized objects. We apply this framework to ","authors_text":"Andrew M. Dai, Bhuwan Dhingra, Christopher J. Shallue, George E. Dahl, Mohammad Norouzi","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2018-06-12T03:25:15Z","title":"Embedding Text in Hyperbolic Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04313","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":"sha256:7bee0a67783c8cf272d47642b5306bada3bd91525799bd5c9d2aed881869a33e","target":"record","created_at":"2026-05-18T00:13:35Z","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":"f29afb4e0b799ba103adbacbe05c3e873a11b074c742d887972383e26eda1739","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2018-06-12T03:25:15Z","title_canon_sha256":"689d1990aeabd254008a8089e52d25c6e7a9b6faf9d32868488dc3ce8b6264cb"},"schema_version":"1.0","source":{"id":"1806.04313","kind":"arxiv","version":1}},"canonical_sha256":"73a6eba6f4057811e181b30c89c70afd35d3397d5096331117fc8c34e855ddf0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73a6eba6f4057811e181b30c89c70afd35d3397d5096331117fc8c34e855ddf0","first_computed_at":"2026-05-18T00:13:35.909607Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:35.909607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"flRPDKaA7UssTBcz9Fku4SHxOX1wZt9QFCoBZvxjvmUUmSJB36efaLOhE3QX6xc2QKda4tVPoYB6a5cJhPa3BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:35.910198Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.04313","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bee0a67783c8cf272d47642b5306bada3bd91525799bd5c9d2aed881869a33e","sha256:a4b0af04c3f8c5d7b7d808409359c31416a3416a4e4cdbf826d5a55d870e072f"],"state_sha256":"fd2272da73285a44a6e57d644a2c77049a05f0b4b727816155d9a2a2c57c3cdc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IYS5WsFDbesPxohLIsMfjqxaxqqg2k5kBXscyUCBm6IVo3TcFR4q9c6oqsZ4X7vRdSQjaBWkYpH6mYZQyNVrAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T04:25:49.855207Z","bundle_sha256":"a3e05d6d1488c81b96cd62cea1051ad281759754c98c51122ccb49ed1031e532"}}