{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:VSXCWOS75YEGWR6UDB2ZDXWWIT","short_pith_number":"pith:VSXCWOS7","canonical_record":{"source":{"id":"2605.24578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2026-05-23T13:42:35Z","cross_cats_sorted":[],"title_canon_sha256":"d9d697bad24c67d96cb29e32fe643904727fd1acd95408bc50e95075b18da76f","abstract_canon_sha256":"18efe8e9922fd87024745f7621ef33cc556a33d2e55b21476fe95fb027d06e60"},"schema_version":"1.0"},"canonical_sha256":"acae2b3a5fee086b47d4187591ded644c301b192648a688539453b557371e04d","source":{"kind":"arxiv","id":"2605.24578","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.24578","created_at":"2026-05-26T01:03:47Z"},{"alias_kind":"arxiv_version","alias_value":"2605.24578v1","created_at":"2026-05-26T01:03:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.24578","created_at":"2026-05-26T01:03:47Z"},{"alias_kind":"pith_short_12","alias_value":"VSXCWOS75YEG","created_at":"2026-05-26T01:03:47Z"},{"alias_kind":"pith_short_16","alias_value":"VSXCWOS75YEGWR6U","created_at":"2026-05-26T01:03:47Z"},{"alias_kind":"pith_short_8","alias_value":"VSXCWOS7","created_at":"2026-05-26T01:03:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:VSXCWOS75YEGWR6UDB2ZDXWWIT","target":"record","payload":{"canonical_record":{"source":{"id":"2605.24578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2026-05-23T13:42:35Z","cross_cats_sorted":[],"title_canon_sha256":"d9d697bad24c67d96cb29e32fe643904727fd1acd95408bc50e95075b18da76f","abstract_canon_sha256":"18efe8e9922fd87024745f7621ef33cc556a33d2e55b21476fe95fb027d06e60"},"schema_version":"1.0"},"canonical_sha256":"acae2b3a5fee086b47d4187591ded644c301b192648a688539453b557371e04d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T01:03:47.206733Z","signature_b64":"bUGpunBenqKfb6/a4iiFCHb+pK1YLUYsNw7VyRH6riPkTtRB4I4dw5GaOLOsv4gQBLR2vQBIh8jzasm7WjBkCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"acae2b3a5fee086b47d4187591ded644c301b192648a688539453b557371e04d","last_reissued_at":"2026-05-26T01:03:47.205855Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T01:03:47.205855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.24578","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":"2026-05-26T01:03:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lt6rjO2B/jqv/mPWjGXBEO7h7VvBmVtUIpp8aezkL7SQjcy/v7mP7fx176c5Uioq71ly8YFQPl+sFgswqet7DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T15:17:07.057821Z"},"content_sha256":"f8263428b972283fea223ae4fa97ffaa7193a809ae24f952fa1132444ae7938b","schema_version":"1.0","event_id":"sha256:f8263428b972283fea223ae4fa97ffaa7193a809ae24f952fa1132444ae7938b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:VSXCWOS75YEGWR6UDB2ZDXWWIT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"World Models as Group Actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Fanqi Zhang, Guanbin Li, Weiming Zhang, Wei Zhang, Xiao Tan, Yipeng Qin, Zijie Wang","submitted_at":"2026-05-23T13:42:35Z","abstract_excerpt":"Video world models have achieved strong visual realism, but this does not ensure that their dynamics are truly governed by actions. In this work, we argue that action faithfulness should be understood through the compositional structure of actions, which in many embodied settings follows a group structure (e.g., SE(2) for navigation). Based on this insight, we formalize action-conditioned world modeling as realizing a group action on the state space, providing a principled criterion for evaluating dynamics beyond visual quality. To operationalize this framework, we propose a unified approach t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.24578","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/2605.24578/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":"2026-05-26T01:03:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kKGAHVYFEjprjAwFHWyFgUpAzepfEGiDlIzNcR0doveOjtOI4uRfnoyKlPim1E3Y2bXF1dggHm3ydEFs0K9bBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T15:17:07.058200Z"},"content_sha256":"6506454c943b51f89dcea893d153b8b7e077b8972a1c405c9542eb37604ba38f","schema_version":"1.0","event_id":"sha256:6506454c943b51f89dcea893d153b8b7e077b8972a1c405c9542eb37604ba38f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VSXCWOS75YEGWR6UDB2ZDXWWIT/bundle.json","state_url":"https://pith.science/pith/VSXCWOS75YEGWR6UDB2ZDXWWIT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VSXCWOS75YEGWR6UDB2ZDXWWIT/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":"2026-06-05T15:17:07Z","links":{"resolver":"https://pith.science/pith/VSXCWOS75YEGWR6UDB2ZDXWWIT","bundle":"https://pith.science/pith/VSXCWOS75YEGWR6UDB2ZDXWWIT/bundle.json","state":"https://pith.science/pith/VSXCWOS75YEGWR6UDB2ZDXWWIT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VSXCWOS75YEGWR6UDB2ZDXWWIT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VSXCWOS75YEGWR6UDB2ZDXWWIT","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":"18efe8e9922fd87024745f7621ef33cc556a33d2e55b21476fe95fb027d06e60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2026-05-23T13:42:35Z","title_canon_sha256":"d9d697bad24c67d96cb29e32fe643904727fd1acd95408bc50e95075b18da76f"},"schema_version":"1.0","source":{"id":"2605.24578","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.24578","created_at":"2026-05-26T01:03:47Z"},{"alias_kind":"arxiv_version","alias_value":"2605.24578v1","created_at":"2026-05-26T01:03:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.24578","created_at":"2026-05-26T01:03:47Z"},{"alias_kind":"pith_short_12","alias_value":"VSXCWOS75YEG","created_at":"2026-05-26T01:03:47Z"},{"alias_kind":"pith_short_16","alias_value":"VSXCWOS75YEGWR6U","created_at":"2026-05-26T01:03:47Z"},{"alias_kind":"pith_short_8","alias_value":"VSXCWOS7","created_at":"2026-05-26T01:03:47Z"}],"graph_snapshots":[{"event_id":"sha256:6506454c943b51f89dcea893d153b8b7e077b8972a1c405c9542eb37604ba38f","target":"graph","created_at":"2026-05-26T01:03:47Z","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/2605.24578/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Video world models have achieved strong visual realism, but this does not ensure that their dynamics are truly governed by actions. In this work, we argue that action faithfulness should be understood through the compositional structure of actions, which in many embodied settings follows a group structure (e.g., SE(2) for navigation). Based on this insight, we formalize action-conditioned world modeling as realizing a group action on the state space, providing a principled criterion for evaluating dynamics beyond visual quality. To operationalize this framework, we propose a unified approach t","authors_text":"Fanqi Zhang, Guanbin Li, Weiming Zhang, Wei Zhang, Xiao Tan, Yipeng Qin, Zijie Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2026-05-23T13:42:35Z","title":"World Models as Group Actions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.24578","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:f8263428b972283fea223ae4fa97ffaa7193a809ae24f952fa1132444ae7938b","target":"record","created_at":"2026-05-26T01:03:47Z","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":"18efe8e9922fd87024745f7621ef33cc556a33d2e55b21476fe95fb027d06e60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2026-05-23T13:42:35Z","title_canon_sha256":"d9d697bad24c67d96cb29e32fe643904727fd1acd95408bc50e95075b18da76f"},"schema_version":"1.0","source":{"id":"2605.24578","kind":"arxiv","version":1}},"canonical_sha256":"acae2b3a5fee086b47d4187591ded644c301b192648a688539453b557371e04d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"acae2b3a5fee086b47d4187591ded644c301b192648a688539453b557371e04d","first_computed_at":"2026-05-26T01:03:47.205855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T01:03:47.205855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bUGpunBenqKfb6/a4iiFCHb+pK1YLUYsNw7VyRH6riPkTtRB4I4dw5GaOLOsv4gQBLR2vQBIh8jzasm7WjBkCA==","signature_status":"signed_v1","signed_at":"2026-05-26T01:03:47.206733Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.24578","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8263428b972283fea223ae4fa97ffaa7193a809ae24f952fa1132444ae7938b","sha256:6506454c943b51f89dcea893d153b8b7e077b8972a1c405c9542eb37604ba38f"],"state_sha256":"2313fbbce261c0783c99ad10eba2e14a75da974eea80a550a91862f2a776446f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z7V2CFmiKVk6uAb+2Er1yK0E7nw8X/2npt8BKJAgESdcEkjvy7WRRGa4gu1EUj6Xp8QWmcs8LkQYkyK3H3K8BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T15:17:07.060299Z","bundle_sha256":"0de7b8f39e6abfce079745be7f1f9dc3bfe7c23145429292a606eb36c999fd6d"}}