{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7URAS24UWIMD3UWANINFYPEKRO","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":"bc9ff91bb61ae37565b948725b331003bd250291e47a4acd8a5a4803610893f4","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-22T19:43:30Z","title_canon_sha256":"0dfabc678b5c0b9bd41c515e603b0efe65296e9c8187ab72b72a52643520cead"},"schema_version":"1.0","source":{"id":"1705.07969","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.07969","created_at":"2026-05-18T00:44:04Z"},{"alias_kind":"arxiv_version","alias_value":"1705.07969v1","created_at":"2026-05-18T00:44:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07969","created_at":"2026-05-18T00:44:04Z"},{"alias_kind":"pith_short_12","alias_value":"7URAS24UWIMD","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7URAS24UWIMD3UWA","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7URAS24U","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:e6fd7b9d64cd9ad9666d55f1dd184ce6dac3208c087ee5eb4d8c060a19b01e22","target":"graph","created_at":"2026-05-18T00:44:04Z","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":"We classify the radially symmetric connections in vector bundles over round spheres by proving that they are all parallel.","authors_text":"Kristopher Tapp","cross_cats":["math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-22T19:43:30Z","title":"Radially symmetric connections over round spheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07969","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":"sha256:8715651a794f708bc2b665e7fbb4fdc90bd86a4b424a6534e6b79ec292068649","target":"record","created_at":"2026-05-18T00:44:04Z","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":"bc9ff91bb61ae37565b948725b331003bd250291e47a4acd8a5a4803610893f4","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-22T19:43:30Z","title_canon_sha256":"0dfabc678b5c0b9bd41c515e603b0efe65296e9c8187ab72b72a52643520cead"},"schema_version":"1.0","source":{"id":"1705.07969","kind":"arxiv","version":1}},"canonical_sha256":"fd22096b94b2183dd2c06a1a5c3c8a8bb165f40b78267d27fe3f228002fa494b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd22096b94b2183dd2c06a1a5c3c8a8bb165f40b78267d27fe3f228002fa494b","first_computed_at":"2026-05-18T00:44:04.020115Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:04.020115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iOGtRNTRgT9BAhCcIFhwPCJofmvpYwTHZHcvG1ZMTSB6R53X019MOX8qvygjNCWSb6c1kOlYqUzzTSTwDoYnAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:04.020563Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.07969","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8715651a794f708bc2b665e7fbb4fdc90bd86a4b424a6534e6b79ec292068649","sha256:e6fd7b9d64cd9ad9666d55f1dd184ce6dac3208c087ee5eb4d8c060a19b01e22"],"state_sha256":"72bc0aae05c14a862d23240f21fba75f1fe5030e42cb8919b406bfd6363243b3"}