{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:SS57AOFGBN7HAF7RHXKGW5ONMK","short_pith_number":"pith:SS57AOFG","canonical_record":{"source":{"id":"2606.18379","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IR","submitted_at":"2026-06-16T18:27:11Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"fb5cebd7cd664383b47f18824cd9ac1e2713d72056be8a2f5a9ffb3025e99dba","abstract_canon_sha256":"15f5197f813b446dc1dff528ce6042a79ce510111125116d1ee21f77d66d30d0"},"schema_version":"1.0"},"canonical_sha256":"94bbf038a60b7e7017f13dd46b75cd62a6040da3d40dda8d0e4f8dd2b2a757e7","source":{"kind":"arxiv","id":"2606.18379","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.18379","created_at":"2026-06-19T16:10:59Z"},{"alias_kind":"arxiv_version","alias_value":"2606.18379v1","created_at":"2026-06-19T16:10:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.18379","created_at":"2026-06-19T16:10:59Z"},{"alias_kind":"pith_short_12","alias_value":"SS57AOFGBN7H","created_at":"2026-06-19T16:10:59Z"},{"alias_kind":"pith_short_16","alias_value":"SS57AOFGBN7HAF7R","created_at":"2026-06-19T16:10:59Z"},{"alias_kind":"pith_short_8","alias_value":"SS57AOFG","created_at":"2026-06-19T16:10:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:SS57AOFGBN7HAF7RHXKGW5ONMK","target":"record","payload":{"canonical_record":{"source":{"id":"2606.18379","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IR","submitted_at":"2026-06-16T18:27:11Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"fb5cebd7cd664383b47f18824cd9ac1e2713d72056be8a2f5a9ffb3025e99dba","abstract_canon_sha256":"15f5197f813b446dc1dff528ce6042a79ce510111125116d1ee21f77d66d30d0"},"schema_version":"1.0"},"canonical_sha256":"94bbf038a60b7e7017f13dd46b75cd62a6040da3d40dda8d0e4f8dd2b2a757e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:10:59.648562Z","signature_b64":"9YL06yk695HEEblwaCWI1TjgXT6tJNHMyjViZjR//R2ASzfj+UMYvhcB5lDLfVDlrDtVFAZvxdByCn7TCqFxAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94bbf038a60b7e7017f13dd46b75cd62a6040da3d40dda8d0e4f8dd2b2a757e7","last_reissued_at":"2026-06-19T16:10:59.648146Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:10:59.648146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.18379","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":"2026-06-19T16:10:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/W+JT2O1Njw6K5LvR1ef3xvaMOSwl3QmrvlsIt4IXpXGrydH2bgY3HSWv5Ey6d2/0Vf4VSxsqxwtRx6uk4dqBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T11:38:39.359492Z"},"content_sha256":"b3fdef41e59da7c980a633572fb500903693d66411e32cc3cfe6344f6c92dc92","schema_version":"1.0","event_id":"sha256:b3fdef41e59da7c980a633572fb500903693d66411e32cc3cfe6344f6c92dc92"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:SS57AOFGBN7HAF7RHXKGW5ONMK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"RankGraph-2: Lifecycle Co-Design for Billion-Node Graph Learning in Recommendation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.IR","authors_text":"Haomin Yu, Hong Li, Hong Yan, Junjie Yang, Ke Pan, Li Yu, Mahesh Srinivasan, Nipun Mathur, Renzhi Wu, Sri Reddy, Tai Guo, Xian Chen, Zikun Cui","submitted_at":"2026-06-16T18:27:11Z","abstract_excerpt":"Graph-based retrieval at billion-node scale requires jointly solving three tightly coupled problems -- graph construction, representation learning, and real-time serving -- yet existing work addresses each in isolation. We present RankGraph-2, a framework deployed at Meta that co-designs all three lifecycle stages for similarity-based retrieval (U2U2I and U2I2I), where each stage's requirements shape the others. Serving requires a co-learned cluster index to avoid expensive online KNN -- this pushes index co-training into the training objective. Training benefits from the observation that simi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.18379","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/2606.18379/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":"2026-06-19T16:10:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/2a535+AnEmj9exQGOui7kYNnzjBZpUm/nXkuSotvzdYTCesXroy3czo9U1JDQdaEEcI+O6g0ab0iVrepAN1Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T11:38:39.359869Z"},"content_sha256":"917327be10cb89af3c6d01a98a53fb6ef4a8f904047f0eefcf787a85ada85c72","schema_version":"1.0","event_id":"sha256:917327be10cb89af3c6d01a98a53fb6ef4a8f904047f0eefcf787a85ada85c72"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SS57AOFGBN7HAF7RHXKGW5ONMK/bundle.json","state_url":"https://pith.science/pith/SS57AOFGBN7HAF7RHXKGW5ONMK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SS57AOFGBN7HAF7RHXKGW5ONMK/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":"2026-06-30T11:38:39Z","links":{"resolver":"https://pith.science/pith/SS57AOFGBN7HAF7RHXKGW5ONMK","bundle":"https://pith.science/pith/SS57AOFGBN7HAF7RHXKGW5ONMK/bundle.json","state":"https://pith.science/pith/SS57AOFGBN7HAF7RHXKGW5ONMK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SS57AOFGBN7HAF7RHXKGW5ONMK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:SS57AOFGBN7HAF7RHXKGW5ONMK","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":"15f5197f813b446dc1dff528ce6042a79ce510111125116d1ee21f77d66d30d0","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IR","submitted_at":"2026-06-16T18:27:11Z","title_canon_sha256":"fb5cebd7cd664383b47f18824cd9ac1e2713d72056be8a2f5a9ffb3025e99dba"},"schema_version":"1.0","source":{"id":"2606.18379","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.18379","created_at":"2026-06-19T16:10:59Z"},{"alias_kind":"arxiv_version","alias_value":"2606.18379v1","created_at":"2026-06-19T16:10:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.18379","created_at":"2026-06-19T16:10:59Z"},{"alias_kind":"pith_short_12","alias_value":"SS57AOFGBN7H","created_at":"2026-06-19T16:10:59Z"},{"alias_kind":"pith_short_16","alias_value":"SS57AOFGBN7HAF7R","created_at":"2026-06-19T16:10:59Z"},{"alias_kind":"pith_short_8","alias_value":"SS57AOFG","created_at":"2026-06-19T16:10:59Z"}],"graph_snapshots":[{"event_id":"sha256:917327be10cb89af3c6d01a98a53fb6ef4a8f904047f0eefcf787a85ada85c72","target":"graph","created_at":"2026-06-19T16:10:59Z","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/2606.18379/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Graph-based retrieval at billion-node scale requires jointly solving three tightly coupled problems -- graph construction, representation learning, and real-time serving -- yet existing work addresses each in isolation. We present RankGraph-2, a framework deployed at Meta that co-designs all three lifecycle stages for similarity-based retrieval (U2U2I and U2I2I), where each stage's requirements shape the others. Serving requires a co-learned cluster index to avoid expensive online KNN -- this pushes index co-training into the training objective. Training benefits from the observation that simi","authors_text":"Haomin Yu, Hong Li, Hong Yan, Junjie Yang, Ke Pan, Li Yu, Mahesh Srinivasan, Nipun Mathur, Renzhi Wu, Sri Reddy, Tai Guo, Xian Chen, Zikun Cui","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IR","submitted_at":"2026-06-16T18:27:11Z","title":"RankGraph-2: Lifecycle Co-Design for Billion-Node Graph Learning in Recommendation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.18379","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:b3fdef41e59da7c980a633572fb500903693d66411e32cc3cfe6344f6c92dc92","target":"record","created_at":"2026-06-19T16:10:59Z","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":"15f5197f813b446dc1dff528ce6042a79ce510111125116d1ee21f77d66d30d0","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IR","submitted_at":"2026-06-16T18:27:11Z","title_canon_sha256":"fb5cebd7cd664383b47f18824cd9ac1e2713d72056be8a2f5a9ffb3025e99dba"},"schema_version":"1.0","source":{"id":"2606.18379","kind":"arxiv","version":1}},"canonical_sha256":"94bbf038a60b7e7017f13dd46b75cd62a6040da3d40dda8d0e4f8dd2b2a757e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94bbf038a60b7e7017f13dd46b75cd62a6040da3d40dda8d0e4f8dd2b2a757e7","first_computed_at":"2026-06-19T16:10:59.648146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:10:59.648146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9YL06yk695HEEblwaCWI1TjgXT6tJNHMyjViZjR//R2ASzfj+UMYvhcB5lDLfVDlrDtVFAZvxdByCn7TCqFxAw==","signature_status":"signed_v1","signed_at":"2026-06-19T16:10:59.648562Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.18379","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3fdef41e59da7c980a633572fb500903693d66411e32cc3cfe6344f6c92dc92","sha256:917327be10cb89af3c6d01a98a53fb6ef4a8f904047f0eefcf787a85ada85c72"],"state_sha256":"375d7a62371158b529ae74df20518aeddfebb7273e28b0efae7123c1d2b7563d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CKEvPu5I9gxlGYSwLAl5G3ITaacvgPxQIojE/bawMFf0HIsm6vmtPgs3hye1wFGqhkb6zAelk7Wqba1cyoR+CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T11:38:39.361827Z","bundle_sha256":"857149a57d36e03fb8ab5fd3fd4b7258514c3eb58b6535faf4466933d2b899fd"}}