{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:FA76AZRZDWTDBWG3MNCDUDS3I2","short_pith_number":"pith:FA76AZRZ","canonical_record":{"source":{"id":"2606.04438","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-03T04:38:12Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"b08ec24a9de9d2ec25798e3b34dd03f5435800b8c01ed522dd8c86f28956f87d","abstract_canon_sha256":"99bb8acbb1c197f935c448045b1278553b2587f490e536d97d4d24e35f136989"},"schema_version":"1.0"},"canonical_sha256":"283fe066391da630d8db63443a0e5b469cd937e81a6dee7929210a506d093129","source":{"kind":"arxiv","id":"2606.04438","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.04438","created_at":"2026-06-04T01:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.04438v1","created_at":"2026-06-04T01:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.04438","created_at":"2026-06-04T01:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"FA76AZRZDWTD","created_at":"2026-06-04T01:09:08Z"},{"alias_kind":"pith_short_16","alias_value":"FA76AZRZDWTDBWG3","created_at":"2026-06-04T01:09:08Z"},{"alias_kind":"pith_short_8","alias_value":"FA76AZRZ","created_at":"2026-06-04T01:09:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:FA76AZRZDWTDBWG3MNCDUDS3I2","target":"record","payload":{"canonical_record":{"source":{"id":"2606.04438","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-03T04:38:12Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"b08ec24a9de9d2ec25798e3b34dd03f5435800b8c01ed522dd8c86f28956f87d","abstract_canon_sha256":"99bb8acbb1c197f935c448045b1278553b2587f490e536d97d4d24e35f136989"},"schema_version":"1.0"},"canonical_sha256":"283fe066391da630d8db63443a0e5b469cd937e81a6dee7929210a506d093129","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T01:09:08.129759Z","signature_b64":"S5DfFNevxtyw4ZHw309LnJ7EGW52fxa8zzHo2n43i8rtf8/XHPl7eQilnPuWJpLlvQkEant/gWUTbx/TQN0TCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"283fe066391da630d8db63443a0e5b469cd937e81a6dee7929210a506d093129","last_reissued_at":"2026-06-04T01:09:08.129141Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T01:09:08.129141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.04438","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":"2026-06-04T01:09:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CuZsWEcwA+1wf9gqEujydpBJU7DX/BQThHuY7eNCo81hIVWgeLKKjVd4nN0NkAoZLNk2xzmZh8XeXicR+T3XAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:44:23.534032Z"},"content_sha256":"8c20c2063382a6bbd683619b59202093e1c43541b8bde57a06d1c834e032ce6f","schema_version":"1.0","event_id":"sha256:8c20c2063382a6bbd683619b59202093e1c43541b8bde57a06d1c834e032ce6f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:FA76AZRZDWTDBWG3MNCDUDS3I2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"LoopMoE: Unifying Iterative Computation with Mixture-of-Experts for Language Modeling","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Chengwei Qin, Lifeng Shang, Tianshu Li, Wenkai Chen, Wenyong Huang, Yichun Yin","submitted_at":"2026-06-03T04:38:12Z","abstract_excerpt":"Mixture-of-Experts (MoE) and looped architectures scale models along two orthogonal axes, namely parameter capacity and effective depth. However, mainstream looped architectures rely on dense backbones that couple parameter count with per-token FLOPs, which makes it impossible to isolate the effect of iterative computation under matched budgets. To this end, we present LoopMoE, a looped MoE language model that integrates sparse routing with iterative weight-shared computation through two designs. The first is IterAdaLN, which resolves weight-sharing symmetry via a modulation signal jointly con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.04438","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/2606.04438/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":"2026-06-04T01:09:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xx14ddW6UA5Y4Ur1tH8FpHbM2f6Cy+98rDlo8UUPfgjh2YPDSdnsBnxWzysDGWPrc5CXOZArJPoqRALtZExrAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:44:23.534867Z"},"content_sha256":"9ce52e9ec7b547ab1fc5d3df793f0cf2742d4cb831fec02e203af39339b3b4a2","schema_version":"1.0","event_id":"sha256:9ce52e9ec7b547ab1fc5d3df793f0cf2742d4cb831fec02e203af39339b3b4a2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FA76AZRZDWTDBWG3MNCDUDS3I2/bundle.json","state_url":"https://pith.science/pith/FA76AZRZDWTDBWG3MNCDUDS3I2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FA76AZRZDWTDBWG3MNCDUDS3I2/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":"2026-06-09T07:44:23Z","links":{"resolver":"https://pith.science/pith/FA76AZRZDWTDBWG3MNCDUDS3I2","bundle":"https://pith.science/pith/FA76AZRZDWTDBWG3MNCDUDS3I2/bundle.json","state":"https://pith.science/pith/FA76AZRZDWTDBWG3MNCDUDS3I2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FA76AZRZDWTDBWG3MNCDUDS3I2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:FA76AZRZDWTDBWG3MNCDUDS3I2","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":"99bb8acbb1c197f935c448045b1278553b2587f490e536d97d4d24e35f136989","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-03T04:38:12Z","title_canon_sha256":"b08ec24a9de9d2ec25798e3b34dd03f5435800b8c01ed522dd8c86f28956f87d"},"schema_version":"1.0","source":{"id":"2606.04438","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.04438","created_at":"2026-06-04T01:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.04438v1","created_at":"2026-06-04T01:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.04438","created_at":"2026-06-04T01:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"FA76AZRZDWTD","created_at":"2026-06-04T01:09:08Z"},{"alias_kind":"pith_short_16","alias_value":"FA76AZRZDWTDBWG3","created_at":"2026-06-04T01:09:08Z"},{"alias_kind":"pith_short_8","alias_value":"FA76AZRZ","created_at":"2026-06-04T01:09:08Z"}],"graph_snapshots":[{"event_id":"sha256:9ce52e9ec7b547ab1fc5d3df793f0cf2742d4cb831fec02e203af39339b3b4a2","target":"graph","created_at":"2026-06-04T01:09:08Z","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/2606.04438/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Mixture-of-Experts (MoE) and looped architectures scale models along two orthogonal axes, namely parameter capacity and effective depth. However, mainstream looped architectures rely on dense backbones that couple parameter count with per-token FLOPs, which makes it impossible to isolate the effect of iterative computation under matched budgets. To this end, we present LoopMoE, a looped MoE language model that integrates sparse routing with iterative weight-shared computation through two designs. The first is IterAdaLN, which resolves weight-sharing symmetry via a modulation signal jointly con","authors_text":"Chengwei Qin, Lifeng Shang, Tianshu Li, Wenkai Chen, Wenyong Huang, Yichun Yin","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-03T04:38:12Z","title":"LoopMoE: Unifying Iterative Computation with Mixture-of-Experts for Language Modeling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.04438","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":"sha256:8c20c2063382a6bbd683619b59202093e1c43541b8bde57a06d1c834e032ce6f","target":"record","created_at":"2026-06-04T01:09:08Z","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":"99bb8acbb1c197f935c448045b1278553b2587f490e536d97d4d24e35f136989","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-03T04:38:12Z","title_canon_sha256":"b08ec24a9de9d2ec25798e3b34dd03f5435800b8c01ed522dd8c86f28956f87d"},"schema_version":"1.0","source":{"id":"2606.04438","kind":"arxiv","version":1}},"canonical_sha256":"283fe066391da630d8db63443a0e5b469cd937e81a6dee7929210a506d093129","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"283fe066391da630d8db63443a0e5b469cd937e81a6dee7929210a506d093129","first_computed_at":"2026-06-04T01:09:08.129141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T01:09:08.129141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S5DfFNevxtyw4ZHw309LnJ7EGW52fxa8zzHo2n43i8rtf8/XHPl7eQilnPuWJpLlvQkEant/gWUTbx/TQN0TCw==","signature_status":"signed_v1","signed_at":"2026-06-04T01:09:08.129759Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.04438","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c20c2063382a6bbd683619b59202093e1c43541b8bde57a06d1c834e032ce6f","sha256:9ce52e9ec7b547ab1fc5d3df793f0cf2742d4cb831fec02e203af39339b3b4a2"],"state_sha256":"4aad2c8a714dfc9308fce33487132780d9a4c4d7e2af895036921847ea787f4a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vr5JJguinjmOP0GDvg9bW/NK92479tjIzVF8tTKDkmgl9fJnY5APWMMRmTzMEXHSRXMoXPT56MJk/xNSPxQEDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T07:44:23.538744Z","bundle_sha256":"8a06a65272d74a5ba0e24403baaa7caf0bf548465e8ceff90ce5c9fb89150461"}}