{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EV3QCCXYKVZZRGSZUWTTSMMFQL","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":"3b5db1d5c1c1892ce32de3cbe17631f85bc8ff328ec80436e8b7a61ffbd99715","cross_cats_sorted":["cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-07-18T21:32:06Z","title_canon_sha256":"492029d8a55825c4bed39c1473583feac0bf73fdbd48a77efba9a7cb6c6683bf"},"schema_version":"1.0","source":{"id":"2607.16972","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.16972","created_at":"2026-07-21T01:21:08Z"},{"alias_kind":"arxiv_version","alias_value":"2607.16972v1","created_at":"2026-07-21T01:21:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.16972","created_at":"2026-07-21T01:21:08Z"},{"alias_kind":"pith_short_12","alias_value":"EV3QCCXYKVZZ","created_at":"2026-07-21T01:21:08Z"},{"alias_kind":"pith_short_16","alias_value":"EV3QCCXYKVZZRGSZ","created_at":"2026-07-21T01:21:08Z"},{"alias_kind":"pith_short_8","alias_value":"EV3QCCXY","created_at":"2026-07-21T01:21:08Z"}],"graph_snapshots":[{"event_id":"sha256:e28f2eaee7e84e2984167ac20cbf105b16152aca78c4fa0a0d92287909063f58","target":"graph","created_at":"2026-07-21T01:21:08Z","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/2607.16972/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Continuous Chain-of-Thought methods replace verbose reasoning traces with a short sequence of dense latent representations. Earlier continuous CoT methods indirectly supervise the latent representations such that its final state match that of verbose reasoning traces, requiring autoregressive, slow generation during training. We introduce C-MTP, a simpler, faster direct supervision approach that models each latent as an average of the embeddings in the CoT traces to be compressed. Our approach outperforms a prior direct supervision method that approximates the distribution of compressed tokens","authors_text":"Eunsol Choi, He He, Varun Yerram","cross_cats":["cs.CL"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-07-18T21:32:06Z","title":"Training Continuous Chain of Thought Models: A Tale of Two Regimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.16972","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":"sha256:8d51f5c95172cf4450777552cae118447588eb28c4600f03d9796b7c494b75cc","target":"record","created_at":"2026-07-21T01:21:08Z","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":"3b5db1d5c1c1892ce32de3cbe17631f85bc8ff328ec80436e8b7a61ffbd99715","cross_cats_sorted":["cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-07-18T21:32:06Z","title_canon_sha256":"492029d8a55825c4bed39c1473583feac0bf73fdbd48a77efba9a7cb6c6683bf"},"schema_version":"1.0","source":{"id":"2607.16972","kind":"arxiv","version":1}},"canonical_sha256":"2577010af85573989a59a5a739318582ea98dd759c35e26ae3d489d8a56ff3ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2577010af85573989a59a5a739318582ea98dd759c35e26ae3d489d8a56ff3ed","first_computed_at":"2026-07-21T01:21:08.747397Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T01:21:08.747397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GypeXjLJhp+jDjSvyvXWrqyn1bN2thSBul6IBEsJPr+xUGqFaQVKBJHK01QKeAWWeUJw2uNHARMBzzVnb0fVBA==","signature_status":"signed_v1","signed_at":"2026-07-21T01:21:08.748244Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.16972","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d51f5c95172cf4450777552cae118447588eb28c4600f03d9796b7c494b75cc","sha256:e28f2eaee7e84e2984167ac20cbf105b16152aca78c4fa0a0d92287909063f58"],"state_sha256":"c050b1140702c2d83f8eb52da878c3288a462bceac2b14195dfa57eacd398d7a"}