{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:6EYWDQMHOFSWX6ZYF55D3KGUXX","short_pith_number":"pith:6EYWDQMH","canonical_record":{"source":{"id":"1909.00272","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-08-31T19:43:25Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"b0c46874e46ba433c4366613c7c415dba9af3913a3eb6208906f83e1056fe2f7","abstract_canon_sha256":"0d6bf8212f21079e6eb0574b9ed4a7539cdf9469083bcf65bb4457556fe5637f"},"schema_version":"1.0"},"canonical_sha256":"f13161c18771656bfb382f7a3da8d4bdce835a4ec51fa76218550a2237682965","source":{"kind":"arxiv","id":"1909.00272","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.00272","created_at":"2026-07-05T00:01:07Z"},{"alias_kind":"arxiv_version","alias_value":"1909.00272v1","created_at":"2026-07-05T00:01:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.00272","created_at":"2026-07-05T00:01:07Z"},{"alias_kind":"pith_short_12","alias_value":"6EYWDQMHOFSW","created_at":"2026-07-05T00:01:07Z"},{"alias_kind":"pith_short_16","alias_value":"6EYWDQMHOFSWX6ZY","created_at":"2026-07-05T00:01:07Z"},{"alias_kind":"pith_short_8","alias_value":"6EYWDQMH","created_at":"2026-07-05T00:01:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:6EYWDQMHOFSWX6ZYF55D3KGUXX","target":"record","payload":{"canonical_record":{"source":{"id":"1909.00272","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-08-31T19:43:25Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"b0c46874e46ba433c4366613c7c415dba9af3913a3eb6208906f83e1056fe2f7","abstract_canon_sha256":"0d6bf8212f21079e6eb0574b9ed4a7539cdf9469083bcf65bb4457556fe5637f"},"schema_version":"1.0"},"canonical_sha256":"f13161c18771656bfb382f7a3da8d4bdce835a4ec51fa76218550a2237682965","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:01:07.420134Z","signature_b64":"UKbq77/TDqcI3A2kNxaH9pvB7kjtNP8iIv08ALFFPGR4q5sV89y+dCgfHIkfV1JSOSGLrX4hjTiHj3z7fTb1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f13161c18771656bfb382f7a3da8d4bdce835a4ec51fa76218550a2237682965","last_reissued_at":"2026-07-05T00:01:07.419754Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:01:07.419754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1909.00272","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":"2026-07-05T00:01:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+N1NCjJEnpG6YxtZ3HDjUG98csWKSBBmgmYLmJYwAG20QlZYpya+fwI/IQyIpFRLJ0XI0c3YF5jG3zK5H5wyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T10:06:18.549801Z"},"content_sha256":"ff41554916d704f671da68e36e13484a8d37c969651f3aa40f323dd4b8b6dc86","schema_version":"1.0","event_id":"sha256:ff41554916d704f671da68e36e13484a8d37c969651f3aa40f323dd4b8b6dc86"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:6EYWDQMHOFSWX6ZYF55D3KGUXX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Actions of $2$-groups of bounded exponent on manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GT","authors_text":"Lei Chen","submitted_at":"2019-08-31T19:43:25Z","abstract_excerpt":"In this paper, we show that an infinite 2-group of bounded exponent cannot act faithfully and smoothly on compact manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.00272","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/1909.00272/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":"2026-07-05T00:01:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/BvDS1rReX+Wv0IQvDORPISaQknkRvRy5TpIFKkRmLapnb3sRZjM5px4QezSkckyV8Tsd4l51mBdR2eGOQa1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T10:06:18.550300Z"},"content_sha256":"558598df6895db769904143e72d108451391be582b0e5d19f195e6bcfeb50344","schema_version":"1.0","event_id":"sha256:558598df6895db769904143e72d108451391be582b0e5d19f195e6bcfeb50344"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6EYWDQMHOFSWX6ZYF55D3KGUXX/bundle.json","state_url":"https://pith.science/pith/6EYWDQMHOFSWX6ZYF55D3KGUXX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6EYWDQMHOFSWX6ZYF55D3KGUXX/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":"2026-08-21T10:06:18Z","links":{"resolver":"https://pith.science/pith/6EYWDQMHOFSWX6ZYF55D3KGUXX","bundle":"https://pith.science/pith/6EYWDQMHOFSWX6ZYF55D3KGUXX/bundle.json","state":"https://pith.science/pith/6EYWDQMHOFSWX6ZYF55D3KGUXX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6EYWDQMHOFSWX6ZYF55D3KGUXX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6EYWDQMHOFSWX6ZYF55D3KGUXX","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":"0d6bf8212f21079e6eb0574b9ed4a7539cdf9469083bcf65bb4457556fe5637f","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-08-31T19:43:25Z","title_canon_sha256":"b0c46874e46ba433c4366613c7c415dba9af3913a3eb6208906f83e1056fe2f7"},"schema_version":"1.0","source":{"id":"1909.00272","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.00272","created_at":"2026-07-05T00:01:07Z"},{"alias_kind":"arxiv_version","alias_value":"1909.00272v1","created_at":"2026-07-05T00:01:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.00272","created_at":"2026-07-05T00:01:07Z"},{"alias_kind":"pith_short_12","alias_value":"6EYWDQMHOFSW","created_at":"2026-07-05T00:01:07Z"},{"alias_kind":"pith_short_16","alias_value":"6EYWDQMHOFSWX6ZY","created_at":"2026-07-05T00:01:07Z"},{"alias_kind":"pith_short_8","alias_value":"6EYWDQMH","created_at":"2026-07-05T00:01:07Z"}],"graph_snapshots":[{"event_id":"sha256:558598df6895db769904143e72d108451391be582b0e5d19f195e6bcfeb50344","target":"graph","created_at":"2026-07-05T00:01:07Z","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/1909.00272/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we show that an infinite 2-group of bounded exponent cannot act faithfully and smoothly on compact manifolds.","authors_text":"Lei Chen","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-08-31T19:43:25Z","title":"Actions of $2$-groups of bounded exponent on manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.00272","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:ff41554916d704f671da68e36e13484a8d37c969651f3aa40f323dd4b8b6dc86","target":"record","created_at":"2026-07-05T00:01:07Z","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":"0d6bf8212f21079e6eb0574b9ed4a7539cdf9469083bcf65bb4457556fe5637f","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-08-31T19:43:25Z","title_canon_sha256":"b0c46874e46ba433c4366613c7c415dba9af3913a3eb6208906f83e1056fe2f7"},"schema_version":"1.0","source":{"id":"1909.00272","kind":"arxiv","version":1}},"canonical_sha256":"f13161c18771656bfb382f7a3da8d4bdce835a4ec51fa76218550a2237682965","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f13161c18771656bfb382f7a3da8d4bdce835a4ec51fa76218550a2237682965","first_computed_at":"2026-07-05T00:01:07.419754Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:01:07.419754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UKbq77/TDqcI3A2kNxaH9pvB7kjtNP8iIv08ALFFPGR4q5sV89y+dCgfHIkfV1JSOSGLrX4hjTiHj3z7fTb1Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:01:07.420134Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.00272","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff41554916d704f671da68e36e13484a8d37c969651f3aa40f323dd4b8b6dc86","sha256:558598df6895db769904143e72d108451391be582b0e5d19f195e6bcfeb50344"],"state_sha256":"797c5ea0549ea34e87fe93e385b0fe3a0024c174f85049b3486d76e8efa80e35"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AVeWNKJO0kQH/PNa1j5ZMI6QeTla0ECQKTBmz/pc5hGqojVUZSokhgy8rTjtYdmcP84pmQh1OyR95SwAfMp1Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T10:06:18.554725Z","bundle_sha256":"120c06ea5d69608a6353825da59a17abf07f528b2e5473eca1dd8cbdebfd01a9"}}