{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:77PKGU4WU6LTTOFGN55NKGDO36","short_pith_number":"pith:77PKGU4W","canonical_record":{"source":{"id":"2607.21645","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-21T23:50:10Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"d24257e203fc611266830d7c78c5dd19eb7451a339f5cdee35c5eec59b25163a","abstract_canon_sha256":"e522f6e396fdd5928b83f49820497f1a97803ed89ead22032b1a92f876592615"},"schema_version":"1.0"},"canonical_sha256":"ffdea35396a79739b8a66f7ad5186edf88f84a953d747f537ea05f961340a20c","source":{"kind":"arxiv","id":"2607.21645","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.21645","created_at":"2026-07-27T00:20:12Z"},{"alias_kind":"arxiv_version","alias_value":"2607.21645v1","created_at":"2026-07-27T00:20:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.21645","created_at":"2026-07-27T00:20:12Z"},{"alias_kind":"pith_short_12","alias_value":"77PKGU4WU6LT","created_at":"2026-07-27T00:20:12Z"},{"alias_kind":"pith_short_16","alias_value":"77PKGU4WU6LTTOFG","created_at":"2026-07-27T00:20:12Z"},{"alias_kind":"pith_short_8","alias_value":"77PKGU4W","created_at":"2026-07-27T00:20:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:77PKGU4WU6LTTOFGN55NKGDO36","target":"record","payload":{"canonical_record":{"source":{"id":"2607.21645","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-21T23:50:10Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"d24257e203fc611266830d7c78c5dd19eb7451a339f5cdee35c5eec59b25163a","abstract_canon_sha256":"e522f6e396fdd5928b83f49820497f1a97803ed89ead22032b1a92f876592615"},"schema_version":"1.0"},"canonical_sha256":"ffdea35396a79739b8a66f7ad5186edf88f84a953d747f537ea05f961340a20c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-27T00:20:12.748673Z","signature_b64":"UKAxBm27kcwK8oGZBQwd14xMU99Ln85YKk2R9MdSLGjGyzXemVLuaH0YfqbqVYNQPjRGI3/lR8OjcFp9g4lCAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ffdea35396a79739b8a66f7ad5186edf88f84a953d747f537ea05f961340a20c","last_reissued_at":"2026-07-27T00:20:12.747802Z","signature_status":"signed_v1","first_computed_at":"2026-07-27T00:20:12.747802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.21645","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":"2026-07-27T00:20:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yg65L4QHNgs5JRchofh7fhNbW2f1YpnUc0vM46+ZM7yCnqAFlpVOKnNS0D7e8YVTZHtqTA7BSN7FGK4a4laXAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T14:44:54.837813Z"},"content_sha256":"2ac3ed0f8b8f70c225c75990e6a7d22a3571057abda9d06c3684c73285fddbbd","schema_version":"1.0","event_id":"sha256:2ac3ed0f8b8f70c225c75990e6a7d22a3571057abda9d06c3684c73285fddbbd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:77PKGU4WU6LTTOFGN55NKGDO36","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-Horizon Consistency as Geometry: When Latent Dynamics Contract, and When They Do Not","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Aadi Joshi, Kavya Bhand","submitted_at":"2026-07-21T23:50:10Z","abstract_excerpt":"Multi-horizon latent consistency is a common training knob in video predictors and world models, but practitioners rarely know what it does to transition geometry. We treat lambda, the weight on multi-step latent agreement, as a diagnostic control and measure an empirical expansion proxy L20,q95 together with horizon-20 prediction error E20. On Moving-MNIST (n=6 seeds at the critical pair), raising lambda from 0 to 0.8 cuts L20 from 4.96 +/- 2.01 to 1.01 +/- 0.06 (paired t p=0.005, Wilcoxon p=0.031) and halves E20 (0.365 to 0.177, paired t p=1.1e-13). Four of six seeds cross L<1 at lambda=0.8."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.21645","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/2607.21645/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":"2026-07-27T00:20:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wsGsC/E5Q2bjp/9Tpxovk0RAP048He0Xaxt03AymYinlD4vVm052f/F3n8xNNBv3u+ojUteEaZkcwgwdawCDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T14:44:54.838307Z"},"content_sha256":"406cfff02ea7f558065e7a16b774761f65db5095550738aecb78b8918101bfda","schema_version":"1.0","event_id":"sha256:406cfff02ea7f558065e7a16b774761f65db5095550738aecb78b8918101bfda"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/77PKGU4WU6LTTOFGN55NKGDO36/bundle.json","state_url":"https://pith.science/pith/77PKGU4WU6LTTOFGN55NKGDO36/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/77PKGU4WU6LTTOFGN55NKGDO36/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":"2026-08-05T14:44:54Z","links":{"resolver":"https://pith.science/pith/77PKGU4WU6LTTOFGN55NKGDO36","bundle":"https://pith.science/pith/77PKGU4WU6LTTOFGN55NKGDO36/bundle.json","state":"https://pith.science/pith/77PKGU4WU6LTTOFGN55NKGDO36/state.json","well_known_bundle":"https://pith.science/.well-known/pith/77PKGU4WU6LTTOFGN55NKGDO36/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:77PKGU4WU6LTTOFGN55NKGDO36","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":"e522f6e396fdd5928b83f49820497f1a97803ed89ead22032b1a92f876592615","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-21T23:50:10Z","title_canon_sha256":"d24257e203fc611266830d7c78c5dd19eb7451a339f5cdee35c5eec59b25163a"},"schema_version":"1.0","source":{"id":"2607.21645","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.21645","created_at":"2026-07-27T00:20:12Z"},{"alias_kind":"arxiv_version","alias_value":"2607.21645v1","created_at":"2026-07-27T00:20:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.21645","created_at":"2026-07-27T00:20:12Z"},{"alias_kind":"pith_short_12","alias_value":"77PKGU4WU6LT","created_at":"2026-07-27T00:20:12Z"},{"alias_kind":"pith_short_16","alias_value":"77PKGU4WU6LTTOFG","created_at":"2026-07-27T00:20:12Z"},{"alias_kind":"pith_short_8","alias_value":"77PKGU4W","created_at":"2026-07-27T00:20:12Z"}],"graph_snapshots":[{"event_id":"sha256:406cfff02ea7f558065e7a16b774761f65db5095550738aecb78b8918101bfda","target":"graph","created_at":"2026-07-27T00:20:12Z","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/2607.21645/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Multi-horizon latent consistency is a common training knob in video predictors and world models, but practitioners rarely know what it does to transition geometry. We treat lambda, the weight on multi-step latent agreement, as a diagnostic control and measure an empirical expansion proxy L20,q95 together with horizon-20 prediction error E20. On Moving-MNIST (n=6 seeds at the critical pair), raising lambda from 0 to 0.8 cuts L20 from 4.96 +/- 2.01 to 1.01 +/- 0.06 (paired t p=0.005, Wilcoxon p=0.031) and halves E20 (0.365 to 0.177, paired t p=1.1e-13). Four of six seeds cross L<1 at lambda=0.8.","authors_text":"Aadi Joshi, Kavya Bhand","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-21T23:50:10Z","title":"Multi-Horizon Consistency as Geometry: When Latent Dynamics Contract, and When They Do Not"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.21645","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":"sha256:2ac3ed0f8b8f70c225c75990e6a7d22a3571057abda9d06c3684c73285fddbbd","target":"record","created_at":"2026-07-27T00:20:12Z","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":"e522f6e396fdd5928b83f49820497f1a97803ed89ead22032b1a92f876592615","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-21T23:50:10Z","title_canon_sha256":"d24257e203fc611266830d7c78c5dd19eb7451a339f5cdee35c5eec59b25163a"},"schema_version":"1.0","source":{"id":"2607.21645","kind":"arxiv","version":1}},"canonical_sha256":"ffdea35396a79739b8a66f7ad5186edf88f84a953d747f537ea05f961340a20c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffdea35396a79739b8a66f7ad5186edf88f84a953d747f537ea05f961340a20c","first_computed_at":"2026-07-27T00:20:12.747802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-27T00:20:12.747802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UKAxBm27kcwK8oGZBQwd14xMU99Ln85YKk2R9MdSLGjGyzXemVLuaH0YfqbqVYNQPjRGI3/lR8OjcFp9g4lCAA==","signature_status":"signed_v1","signed_at":"2026-07-27T00:20:12.748673Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.21645","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ac3ed0f8b8f70c225c75990e6a7d22a3571057abda9d06c3684c73285fddbbd","sha256:406cfff02ea7f558065e7a16b774761f65db5095550738aecb78b8918101bfda"],"state_sha256":"0e303793d43a18049ad7a4a9cd4db6b9049da2c17b42953881d87ff878aaecd5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ldoU6UqmxteSNvNqgopgHkheovelqzL1DVVDvFuP6Ex6Tz8MnG36Ln89Vgdt6MIa7NDH/lrBLmEw/faxIAReBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T14:44:54.841928Z","bundle_sha256":"d6a5b1c14d12c2e1cd12e68605b3f11e03183bce5b3309a7f5dad79b3146dedf"}}