{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RHKGJQ7IHK4CJJKB7XRCLHI4CC","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":"fac3ac27598ef55a9a6a38d6de1919021158f44bff7557d4ab3046dd00709f16","cross_cats_sorted":["math.AP","math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-05-28T10:46:55Z","title_canon_sha256":"c033608d7b6cc534760c998714acb5d086e89d6beb34082d26b69d52019cd842"},"schema_version":"1.0","source":{"id":"2605.29750","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.29750","created_at":"2026-05-29T01:05:57Z"},{"alias_kind":"arxiv_version","alias_value":"2605.29750v1","created_at":"2026-05-29T01:05:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.29750","created_at":"2026-05-29T01:05:57Z"},{"alias_kind":"pith_short_12","alias_value":"RHKGJQ7IHK4C","created_at":"2026-05-29T01:05:57Z"},{"alias_kind":"pith_short_16","alias_value":"RHKGJQ7IHK4CJJKB","created_at":"2026-05-29T01:05:57Z"},{"alias_kind":"pith_short_8","alias_value":"RHKGJQ7I","created_at":"2026-05-29T01:05:57Z"}],"graph_snapshots":[{"event_id":"sha256:93ba8628db5e749a13eeb03742e142952ae9802cca8c877fbc559b7fb20a950f","target":"graph","created_at":"2026-05-29T01:05:57Z","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/2605.29750/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a smooth compact manifold with boundary, $M$, embedded in a smooth manifold of the same dimension on which an amenable group $\\Gamma$ acts by isometries. We do not assume $M$ to be invariant under $\\Gamma$. This results in a {\\em partial action} of $\\Gamma$ on $M^\\circ$: For $g\\in \\Gamma$ we let $M^\\circ_g = g(M^\\circ)\\cap M^\\circ$ and obtain diffeomorphisms $g:M^\\circ_{g^{-1}} \\to M^\\circ_g$.\n  We assume that any two images of $\\partial M$ under $ \\Gamma$ either coincide or are disjoint and that only finitely many lie in $M$. The spherical blow-up of these images of $\\partial M$ i","authors_text":"Anton Yu. Savin, Elmar Schrohe, Eske Ewert","cross_cats":["math.AP","math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-05-28T10:46:55Z","title":"Elliptic Boundary Value Problems and Partial Group Actions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29750","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:b78b6462bd24d82d2a8a1e14b12c5debace464b0d9f3af80d0a57eddec7999a3","target":"record","created_at":"2026-05-29T01:05:57Z","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":"fac3ac27598ef55a9a6a38d6de1919021158f44bff7557d4ab3046dd00709f16","cross_cats_sorted":["math.AP","math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-05-28T10:46:55Z","title_canon_sha256":"c033608d7b6cc534760c998714acb5d086e89d6beb34082d26b69d52019cd842"},"schema_version":"1.0","source":{"id":"2605.29750","kind":"arxiv","version":1}},"canonical_sha256":"89d464c3e83ab824a541fde2259d1c109f68a837e38d2d7efb7518aaabf72767","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89d464c3e83ab824a541fde2259d1c109f68a837e38d2d7efb7518aaabf72767","first_computed_at":"2026-05-29T01:05:57.784487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-29T01:05:57.784487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZQqzgbrbkxWPQqIVXsUGI1y1Ycxu1s+1PXOykxGhLyhQvZMxnMTQ3/3bjX7A0Z6JyCq0nSjMCA1NdxO47widDA==","signature_status":"signed_v1","signed_at":"2026-05-29T01:05:57.785100Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.29750","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b78b6462bd24d82d2a8a1e14b12c5debace464b0d9f3af80d0a57eddec7999a3","sha256:93ba8628db5e749a13eeb03742e142952ae9802cca8c877fbc559b7fb20a950f"],"state_sha256":"86d19e9bc8b0229c96bb55d8b308e5cce250adce7f6fc760d04bb91f3f49a1c2"}