{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:LVXVDNLH23Q7THS6IOROX5WQD7","short_pith_number":"pith:LVXVDNLH","canonical_record":{"source":{"id":"2602.07739","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IR","submitted_at":"2026-02-08T00:18:05Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"e5e51db8865d48ea5e98bdf65b687a92f3b78a204d353f638afa5e1ec0e7402e","abstract_canon_sha256":"bc6ed0b70796197e97ef3506fd7b3761a4744a7d4de60f4d4488e7e8dc1bc690"},"schema_version":"1.0"},"canonical_sha256":"5d6f51b567d6e1f99e5e43a2ebf6d01fe266bd62d528c956a2ab03828a6da159","source":{"kind":"arxiv","id":"2602.07739","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.07739","created_at":"2026-06-05T01:15:19Z"},{"alias_kind":"arxiv_version","alias_value":"2602.07739v2","created_at":"2026-06-05T01:15:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.07739","created_at":"2026-06-05T01:15:19Z"},{"alias_kind":"pith_short_12","alias_value":"LVXVDNLH23Q7","created_at":"2026-06-05T01:15:19Z"},{"alias_kind":"pith_short_16","alias_value":"LVXVDNLH23Q7THS6","created_at":"2026-06-05T01:15:19Z"},{"alias_kind":"pith_short_8","alias_value":"LVXVDNLH","created_at":"2026-06-05T01:15:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:LVXVDNLH23Q7THS6IOROX5WQD7","target":"record","payload":{"canonical_record":{"source":{"id":"2602.07739","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IR","submitted_at":"2026-02-08T00:18:05Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"e5e51db8865d48ea5e98bdf65b687a92f3b78a204d353f638afa5e1ec0e7402e","abstract_canon_sha256":"bc6ed0b70796197e97ef3506fd7b3761a4744a7d4de60f4d4488e7e8dc1bc690"},"schema_version":"1.0"},"canonical_sha256":"5d6f51b567d6e1f99e5e43a2ebf6d01fe266bd62d528c956a2ab03828a6da159","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-05T01:15:19.911397Z","signature_b64":"qiqHv1zIGOfDq1wAuqB0/hDKvHPHOEaCBY4HwmelV79vqLSXFrJQc2CMZxALBnwr8jCCw9SsRxCugMmpGg+mBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d6f51b567d6e1f99e5e43a2ebf6d01fe266bd62d528c956a2ab03828a6da159","last_reissued_at":"2026-06-05T01:15:19.910978Z","signature_status":"signed_v1","first_computed_at":"2026-06-05T01:15:19.910978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2602.07739","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":"2026-06-05T01:15:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EKFGrIRCN34xWoXkC242j2mEUyHgR0lDbzAqdex6eqIibKF5TWIRvL4n8fTqyWsM8rHBhRDM7vyNMybNXFIfCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:41:40.391688Z"},"content_sha256":"dbc564c948e82ee336222de3e91564f245dded8f43e011f739b4b2d416fd0085","schema_version":"1.0","event_id":"sha256:dbc564c948e82ee336222de3e91564f245dded8f43e011f739b4b2d416fd0085"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:LVXVDNLH23Q7THS6IOROX5WQD7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"HypRAG: Hyperbolic Dense Retrieval for Retrieval Augmented Generation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.IR","authors_text":"Ali Maatouk, Hiren Madhu, Kiran Srinivasan, Leandros Tassiulas, Menglin Yang, Ngoc Bui, Rex Ying, Smita Krishnaswamy, Sukanta Ganguly","submitted_at":"2026-02-08T00:18:05Z","abstract_excerpt":"Embedding geometry plays a fundamental role in retrieval quality, yet dense retrievers for retrieval-augmented generation (RAG) remain largely confined to Euclidean space. However, natural language exhibits hierarchical structure from broad topics to specific entities that Euclidean embeddings fail to preserve, causing semantically distant documents to appear spuriously similar and increasing hallucination risk. To address these limitations, we introduce hyperbolic dense retrieval, developing two model variants in the Lorentz model of hyperbolic space: HyTE-FH, a fully hyperbolic transformer, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.07739","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2602.07739/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":"2026-06-05T01:15:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WrYpMjFVY6/1SHQuPbtpDHDafe/BvZirb2p692oA4UMsQbTp8S89alGCWjR2Dkkx+R7xAzb+swySPp82EdPDCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:41:40.392553Z"},"content_sha256":"6e7011feb17686cc8b3d916f36a0bee1877f45282dd75430964da6b47c64f78d","schema_version":"1.0","event_id":"sha256:6e7011feb17686cc8b3d916f36a0bee1877f45282dd75430964da6b47c64f78d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LVXVDNLH23Q7THS6IOROX5WQD7/bundle.json","state_url":"https://pith.science/pith/LVXVDNLH23Q7THS6IOROX5WQD7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LVXVDNLH23Q7THS6IOROX5WQD7/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":"2026-06-09T06:41:40Z","links":{"resolver":"https://pith.science/pith/LVXVDNLH23Q7THS6IOROX5WQD7","bundle":"https://pith.science/pith/LVXVDNLH23Q7THS6IOROX5WQD7/bundle.json","state":"https://pith.science/pith/LVXVDNLH23Q7THS6IOROX5WQD7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LVXVDNLH23Q7THS6IOROX5WQD7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LVXVDNLH23Q7THS6IOROX5WQD7","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":"bc6ed0b70796197e97ef3506fd7b3761a4744a7d4de60f4d4488e7e8dc1bc690","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IR","submitted_at":"2026-02-08T00:18:05Z","title_canon_sha256":"e5e51db8865d48ea5e98bdf65b687a92f3b78a204d353f638afa5e1ec0e7402e"},"schema_version":"1.0","source":{"id":"2602.07739","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.07739","created_at":"2026-06-05T01:15:19Z"},{"alias_kind":"arxiv_version","alias_value":"2602.07739v2","created_at":"2026-06-05T01:15:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.07739","created_at":"2026-06-05T01:15:19Z"},{"alias_kind":"pith_short_12","alias_value":"LVXVDNLH23Q7","created_at":"2026-06-05T01:15:19Z"},{"alias_kind":"pith_short_16","alias_value":"LVXVDNLH23Q7THS6","created_at":"2026-06-05T01:15:19Z"},{"alias_kind":"pith_short_8","alias_value":"LVXVDNLH","created_at":"2026-06-05T01:15:19Z"}],"graph_snapshots":[{"event_id":"sha256:6e7011feb17686cc8b3d916f36a0bee1877f45282dd75430964da6b47c64f78d","target":"graph","created_at":"2026-06-05T01:15:19Z","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/2602.07739/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Embedding geometry plays a fundamental role in retrieval quality, yet dense retrievers for retrieval-augmented generation (RAG) remain largely confined to Euclidean space. However, natural language exhibits hierarchical structure from broad topics to specific entities that Euclidean embeddings fail to preserve, causing semantically distant documents to appear spuriously similar and increasing hallucination risk. To address these limitations, we introduce hyperbolic dense retrieval, developing two model variants in the Lorentz model of hyperbolic space: HyTE-FH, a fully hyperbolic transformer, ","authors_text":"Ali Maatouk, Hiren Madhu, Kiran Srinivasan, Leandros Tassiulas, Menglin Yang, Ngoc Bui, Rex Ying, Smita Krishnaswamy, Sukanta Ganguly","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IR","submitted_at":"2026-02-08T00:18:05Z","title":"HypRAG: Hyperbolic Dense Retrieval for Retrieval Augmented Generation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.07739","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:dbc564c948e82ee336222de3e91564f245dded8f43e011f739b4b2d416fd0085","target":"record","created_at":"2026-06-05T01:15:19Z","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":"bc6ed0b70796197e97ef3506fd7b3761a4744a7d4de60f4d4488e7e8dc1bc690","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IR","submitted_at":"2026-02-08T00:18:05Z","title_canon_sha256":"e5e51db8865d48ea5e98bdf65b687a92f3b78a204d353f638afa5e1ec0e7402e"},"schema_version":"1.0","source":{"id":"2602.07739","kind":"arxiv","version":2}},"canonical_sha256":"5d6f51b567d6e1f99e5e43a2ebf6d01fe266bd62d528c956a2ab03828a6da159","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d6f51b567d6e1f99e5e43a2ebf6d01fe266bd62d528c956a2ab03828a6da159","first_computed_at":"2026-06-05T01:15:19.910978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T01:15:19.910978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qiqHv1zIGOfDq1wAuqB0/hDKvHPHOEaCBY4HwmelV79vqLSXFrJQc2CMZxALBnwr8jCCw9SsRxCugMmpGg+mBw==","signature_status":"signed_v1","signed_at":"2026-06-05T01:15:19.911397Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.07739","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbc564c948e82ee336222de3e91564f245dded8f43e011f739b4b2d416fd0085","sha256:6e7011feb17686cc8b3d916f36a0bee1877f45282dd75430964da6b47c64f78d"],"state_sha256":"501545518540935c8b57d5b9f74ffd19102a2062dd327d8f4ef2936d33194eeb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1psKZnrlFcqrELy7vHWFqNb5EtcmJHpOb915YN5d58OajIRXsccTDMDs2wYMMg91d9UQoXs6x9ix/kk9sxhYCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T06:41:40.396895Z","bundle_sha256":"bec8e786e1350dd12f9a246e222f0ae62f99c339a499de94e11ad715a3ef4739"}}