{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:PRVQVENBIUYXPLWZ6DYI2W4OX3","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":"ad5d363d8a5521ff0ff2df16d37c325f61f37c8a9991862b0c6d82d1d2e64b34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2023-08-07T03:21:50Z","title_canon_sha256":"979d18ed0adbf93724406c8b2a582cd9663b8b39bf4628b8eba7072ca205fccf"},"schema_version":"1.0","source":{"id":"2308.03270","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.03270","created_at":"2026-07-05T06:38:14Z"},{"alias_kind":"arxiv_version","alias_value":"2308.03270v1","created_at":"2026-07-05T06:38:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.03270","created_at":"2026-07-05T06:38:14Z"},{"alias_kind":"pith_short_12","alias_value":"PRVQVENBIUYX","created_at":"2026-07-05T06:38:14Z"},{"alias_kind":"pith_short_16","alias_value":"PRVQVENBIUYXPLWZ","created_at":"2026-07-05T06:38:14Z"},{"alias_kind":"pith_short_8","alias_value":"PRVQVENB","created_at":"2026-07-05T06:38:14Z"}],"graph_snapshots":[{"event_id":"sha256:6234a1de1ee3a31252a20d48d861ceff6e1749f6ce0c72637909f239dbe363a2","target":"graph","created_at":"2026-07-05T06:38:14Z","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/2308.03270/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we generalize [BS22, Main Theorem] from actions of a single transformation to amenable group actions, which answers affirmatively the question raised in [BS22] by Burguet and the first-named author of the paper.","authors_text":"Guohua Zhang, Ruxi Shi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2023-08-07T03:21:50Z","title":"Mean topological dimension of induced amenable group actions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.03270","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":"sha256:4174e9579be857f43046fc69667fb41d2fce73b1f3979cee318ccc440ef3c9ee","target":"record","created_at":"2026-07-05T06:38:14Z","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":"ad5d363d8a5521ff0ff2df16d37c325f61f37c8a9991862b0c6d82d1d2e64b34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2023-08-07T03:21:50Z","title_canon_sha256":"979d18ed0adbf93724406c8b2a582cd9663b8b39bf4628b8eba7072ca205fccf"},"schema_version":"1.0","source":{"id":"2308.03270","kind":"arxiv","version":1}},"canonical_sha256":"7c6b0a91a1453177aed9f0f08d5b8ebeca170cf58d13c261c5e7e0720d1483e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c6b0a91a1453177aed9f0f08d5b8ebeca170cf58d13c261c5e7e0720d1483e6","first_computed_at":"2026-07-05T06:38:14.462258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:38:14.462258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dhAdhaKL+QvirFTOmbZiJuvCRWteC0avb+se6ij92VzP/W+LEJoh5eGUwSs+zADawyJU6RHKT7pL8ZblYrEMAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:38:14.462679Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.03270","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4174e9579be857f43046fc69667fb41d2fce73b1f3979cee318ccc440ef3c9ee","sha256:6234a1de1ee3a31252a20d48d861ceff6e1749f6ce0c72637909f239dbe363a2"],"state_sha256":"dfb455c04b8f4cf1d82c4b147b36340bb9441eb534dcfd508096245a187e329d"}