{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DFAF2RBRTWIQTEE47SJ4UCAYOY","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":"632f1dd34d45415bb0017c38f2cfe75fd5a0a40899188ee78d3294fca3aae55d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-10-31T06:11:10Z","title_canon_sha256":"f270b2232367acfa37795757f62d268834dac70ceef10269b9bd38d7578155cb"},"schema_version":"1.0","source":{"id":"1410.8650","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.8650","created_at":"2026-05-18T02:38:54Z"},{"alias_kind":"arxiv_version","alias_value":"1410.8650v1","created_at":"2026-05-18T02:38:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8650","created_at":"2026-05-18T02:38:54Z"},{"alias_kind":"pith_short_12","alias_value":"DFAF2RBRTWIQ","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DFAF2RBRTWIQTEE4","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DFAF2RBR","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:9bf102745f7ec4e1216de493321d8285060a286ec123849c56cb84decdd35558","target":"graph","created_at":"2026-05-18T02:38:54Z","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 compact quantum group acts isometrically on a (possibly discon- nected) compact smooth Riemannian manifold such that the action commutes with the Laplacian then it is known that the differential of the action preserves Rieman- nian inner product on forms. In this note, we prove a partial converse to this, under the additional assumption that the manifold is ori- ented and the action preserves the orientation in a suitable sense. Using this an alternative line of arguments is given for proving that there is no quantum isometry for a compact, connected, Riemannian manifold.","authors_text":"Debashish Goswami, Soumalya Joardar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-10-31T06:11:10Z","title":"A note on geometric characterization of quantum isometries of classical manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8650","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:c1f861f53d3959c88b9d9b0e801e253c9496a2b7d7941444c13c04198900e119","target":"record","created_at":"2026-05-18T02:38:54Z","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":"632f1dd34d45415bb0017c38f2cfe75fd5a0a40899188ee78d3294fca3aae55d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-10-31T06:11:10Z","title_canon_sha256":"f270b2232367acfa37795757f62d268834dac70ceef10269b9bd38d7578155cb"},"schema_version":"1.0","source":{"id":"1410.8650","kind":"arxiv","version":1}},"canonical_sha256":"19405d44319d9109909cfc93ca0818761b29272231e35b90cb7d08848885f8d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19405d44319d9109909cfc93ca0818761b29272231e35b90cb7d08848885f8d0","first_computed_at":"2026-05-18T02:38:54.016693Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:54.016693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wWAIfiA0Vbv9oQd6tMyzFNsWO6nPLFLnud+cgWS/ffDZ14VkskbMCE/PaVhlY2D8Ch5COFSaLelE4pLlrJznDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:54.017042Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.8650","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1f861f53d3959c88b9d9b0e801e253c9496a2b7d7941444c13c04198900e119","sha256:9bf102745f7ec4e1216de493321d8285060a286ec123849c56cb84decdd35558"],"state_sha256":"51b79e1c6be92d71e4ddbf5c8184aa17f64ae3f8216ba584bbb4ee7fa0d11969"}