{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7GAESUUS5U636UUAZ2SH7ZXEVW","short_pith_number":"pith:7GAESUUS","canonical_record":{"source":{"id":"1603.03396","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-03-10T19:56:26Z","cross_cats_sorted":[],"title_canon_sha256":"1d22205d3db8d61ddf8e814e4a4f0eacc19b3540a99598eb660c4eb06a6d9865","abstract_canon_sha256":"9ef2c1bcb5705d7bc4133e9df0b2ab441cb2ea35f05acf7e01ad981ebe3440d4"},"schema_version":"1.0"},"canonical_sha256":"f980495292ed3dbf5280cea47fe6e4ad96c7df13533a7a287a9105f0c0f6dc87","source":{"kind":"arxiv","id":"1603.03396","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.03396","created_at":"2026-05-18T01:19:16Z"},{"alias_kind":"arxiv_version","alias_value":"1603.03396v1","created_at":"2026-05-18T01:19:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03396","created_at":"2026-05-18T01:19:16Z"},{"alias_kind":"pith_short_12","alias_value":"7GAESUUS5U63","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7GAESUUS5U636UUA","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7GAESUUS","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7GAESUUS5U636UUAZ2SH7ZXEVW","target":"record","payload":{"canonical_record":{"source":{"id":"1603.03396","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-03-10T19:56:26Z","cross_cats_sorted":[],"title_canon_sha256":"1d22205d3db8d61ddf8e814e4a4f0eacc19b3540a99598eb660c4eb06a6d9865","abstract_canon_sha256":"9ef2c1bcb5705d7bc4133e9df0b2ab441cb2ea35f05acf7e01ad981ebe3440d4"},"schema_version":"1.0"},"canonical_sha256":"f980495292ed3dbf5280cea47fe6e4ad96c7df13533a7a287a9105f0c0f6dc87","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:16.486779Z","signature_b64":"Iv/8JTHpe0qyD0/3M5ETFvclTqlrnOx1BJA1DRazdZo1pfEt04y05NHqYAvT56nkNKx+AKq4OJR0YZ8WWBC+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f980495292ed3dbf5280cea47fe6e4ad96c7df13533a7a287a9105f0c0f6dc87","last_reissued_at":"2026-05-18T01:19:16.486383Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:16.486383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.03396","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":"2026-05-18T01:19:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ThTor3tG2IQlJ8+qAUcMSeVaKg1w8eCj4MckqjmbBu/2fcePFSDQDx0Q1wMH+h/huGFA3spmetw2GGt0u/9ADw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:30:39.770033Z"},"content_sha256":"fcfb6d4487557fba0d69b9dc9a67795d61f56db1e8c2eb9888142bd059ab4722","schema_version":"1.0","event_id":"sha256:fcfb6d4487557fba0d69b9dc9a67795d61f56db1e8c2eb9888142bd059ab4722"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7GAESUUS5U636UUAZ2SH7ZXEVW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological Symmetries of R^3, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Fang Sun","submitted_at":"2016-03-10T19:56:26Z","abstract_excerpt":"If a fintie group G acts topologically and faithfully on R^3, then G is a subgroup of O(3)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03396","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":""},"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":"2026-05-18T01:19:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v7CDMu2cjoLBI6eZN3Vw7Fz0xvjqg6mavO0RcLYiqL7oLD0sIn+CjJ4CmkYuQYqbH3/bCNsUSxHhDZKrA0GnAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:30:39.770395Z"},"content_sha256":"f128b3136423db62eb2c459abda742b68a5c7330ffa6778a4dbded5db317d6ec","schema_version":"1.0","event_id":"sha256:f128b3136423db62eb2c459abda742b68a5c7330ffa6778a4dbded5db317d6ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7GAESUUS5U636UUAZ2SH7ZXEVW/bundle.json","state_url":"https://pith.science/pith/7GAESUUS5U636UUAZ2SH7ZXEVW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7GAESUUS5U636UUAZ2SH7ZXEVW/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":"2026-05-26T16:30:39Z","links":{"resolver":"https://pith.science/pith/7GAESUUS5U636UUAZ2SH7ZXEVW","bundle":"https://pith.science/pith/7GAESUUS5U636UUAZ2SH7ZXEVW/bundle.json","state":"https://pith.science/pith/7GAESUUS5U636UUAZ2SH7ZXEVW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7GAESUUS5U636UUAZ2SH7ZXEVW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7GAESUUS5U636UUAZ2SH7ZXEVW","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":"9ef2c1bcb5705d7bc4133e9df0b2ab441cb2ea35f05acf7e01ad981ebe3440d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-03-10T19:56:26Z","title_canon_sha256":"1d22205d3db8d61ddf8e814e4a4f0eacc19b3540a99598eb660c4eb06a6d9865"},"schema_version":"1.0","source":{"id":"1603.03396","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.03396","created_at":"2026-05-18T01:19:16Z"},{"alias_kind":"arxiv_version","alias_value":"1603.03396v1","created_at":"2026-05-18T01:19:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03396","created_at":"2026-05-18T01:19:16Z"},{"alias_kind":"pith_short_12","alias_value":"7GAESUUS5U63","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7GAESUUS5U636UUA","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7GAESUUS","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:f128b3136423db62eb2c459abda742b68a5c7330ffa6778a4dbded5db317d6ec","target":"graph","created_at":"2026-05-18T01:19:16Z","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"},"paper":{"abstract_excerpt":"If a fintie group G acts topologically and faithfully on R^3, then G is a subgroup of O(3)","authors_text":"Fang Sun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-03-10T19:56:26Z","title":"Topological Symmetries of R^3, II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03396","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:fcfb6d4487557fba0d69b9dc9a67795d61f56db1e8c2eb9888142bd059ab4722","target":"record","created_at":"2026-05-18T01:19:16Z","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":"9ef2c1bcb5705d7bc4133e9df0b2ab441cb2ea35f05acf7e01ad981ebe3440d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-03-10T19:56:26Z","title_canon_sha256":"1d22205d3db8d61ddf8e814e4a4f0eacc19b3540a99598eb660c4eb06a6d9865"},"schema_version":"1.0","source":{"id":"1603.03396","kind":"arxiv","version":1}},"canonical_sha256":"f980495292ed3dbf5280cea47fe6e4ad96c7df13533a7a287a9105f0c0f6dc87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f980495292ed3dbf5280cea47fe6e4ad96c7df13533a7a287a9105f0c0f6dc87","first_computed_at":"2026-05-18T01:19:16.486383Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:16.486383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Iv/8JTHpe0qyD0/3M5ETFvclTqlrnOx1BJA1DRazdZo1pfEt04y05NHqYAvT56nkNKx+AKq4OJR0YZ8WWBC+Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:16.486779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.03396","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcfb6d4487557fba0d69b9dc9a67795d61f56db1e8c2eb9888142bd059ab4722","sha256:f128b3136423db62eb2c459abda742b68a5c7330ffa6778a4dbded5db317d6ec"],"state_sha256":"8865a3a88c4793fa76f5af59e6de748aba4ec575ed97c048a9c4802697928218"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qlag9L9UcNgjwC0oTGxBh2Pq3952/Llub4UV3oTX+ptP/Inl7Q5k17m8uH1i1h2ZCcIp5aDtrpuCUbvhCQt7AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:30:39.772879Z","bundle_sha256":"587a9768a761b58b587e31517187e4dcc2df12b57bf29f5225484dedf9635352"}}