{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OUNOXMA6LHHSFZ5FKBQ574552I","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":"daa4da44bf76a64659f2bdf20bfde1ddf03afb11ba37833f278c9315fc3dacb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-11-23T12:39:41Z","title_canon_sha256":"c4ed0d9562703ba8ce012bbddbbcf2ae798e9611a1cd829637af6f16391a7194"},"schema_version":"1.0","source":{"id":"1011.5075","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.5075","created_at":"2026-05-18T04:34:45Z"},{"alias_kind":"arxiv_version","alias_value":"1011.5075v2","created_at":"2026-05-18T04:34:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.5075","created_at":"2026-05-18T04:34:45Z"},{"alias_kind":"pith_short_12","alias_value":"OUNOXMA6LHHS","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OUNOXMA6LHHSFZ5F","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OUNOXMA6","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:e906a22165f5765cdbb5a10ae429ee6048016d6d7ab37550bb318b38f0e573f0","target":"graph","created_at":"2026-05-18T04:34:45Z","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":"Given manifolds $M$ and $N$, with $M$ compact, we study the geometrical structure of the space of embeddings of $M$ into $N$, having less regularity than $\\mathcal C^\\infty$, quotiented by the group of diffeomorphisms of $M$.","authors_text":"Luis J. Alias, Paolo Piccione","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-11-23T12:39:41Z","title":"On the manifold structure of the set of unparameterized embeddings with low regularity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.5075","kind":"arxiv","version":2},"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":"sha256:0f930aa6953859083152c18f61f5e276c947935bc0f2a22562ef457fc46cc879","target":"record","created_at":"2026-05-18T04:34:45Z","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":"daa4da44bf76a64659f2bdf20bfde1ddf03afb11ba37833f278c9315fc3dacb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-11-23T12:39:41Z","title_canon_sha256":"c4ed0d9562703ba8ce012bbddbbcf2ae798e9611a1cd829637af6f16391a7194"},"schema_version":"1.0","source":{"id":"1011.5075","kind":"arxiv","version":2}},"canonical_sha256":"751aebb01e59cf22e7a55061dff3bdd2010eb97b9abccda6d70beff33333bf13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"751aebb01e59cf22e7a55061dff3bdd2010eb97b9abccda6d70beff33333bf13","first_computed_at":"2026-05-18T04:34:45.642010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:45.642010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R6tMt5NUQkKHuF4BG2PB8Xe6AI8jijrrJslLFSDiweEl8eoQn6qvKsmG5fmTAFZeaIuNrSiGiwPSwTxuuzTwDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:45.642461Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.5075","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f930aa6953859083152c18f61f5e276c947935bc0f2a22562ef457fc46cc879","sha256:e906a22165f5765cdbb5a10ae429ee6048016d6d7ab37550bb318b38f0e573f0"],"state_sha256":"38c06273e9d00bd837ffe380d73e36eaab22a95ca2b8dede89f7f3a5e4d85597"}