{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:RHKGJQ7IHK4CJJKB7XRCLHI4CC","short_pith_number":"pith:RHKGJQ7I","schema_version":"1.0","canonical_sha256":"89d464c3e83ab824a541fde2259d1c109f68a837e38d2d7efb7518aaabf72767","source":{"kind":"arxiv","id":"2605.29750","version":1},"attestation_state":"computed","paper":{"title":"Elliptic Boundary Value Problems and Partial Group Actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.FA"],"primary_cat":"math.OA","authors_text":"Anton Yu. Savin, Elmar Schrohe, Eske Ewert","submitted_at":"2026-05-28T10:46:55Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2605.29750","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-05-28T10:46:55Z","cross_cats_sorted":["math.AP","math.FA"],"title_canon_sha256":"c033608d7b6cc534760c998714acb5d086e89d6beb34082d26b69d52019cd842","abstract_canon_sha256":"fac3ac27598ef55a9a6a38d6de1919021158f44bff7557d4ab3046dd00709f16"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T01:05:57.785100Z","signature_b64":"ZQqzgbrbkxWPQqIVXsUGI1y1Ycxu1s+1PXOykxGhLyhQvZMxnMTQ3/3bjX7A0Z6JyCq0nSjMCA1NdxO47widDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89d464c3e83ab824a541fde2259d1c109f68a837e38d2d7efb7518aaabf72767","last_reissued_at":"2026-05-29T01:05:57.784487Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T01:05:57.784487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Elliptic Boundary Value Problems and Partial Group Actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.FA"],"primary_cat":"math.OA","authors_text":"Anton Yu. Savin, Elmar Schrohe, Eske Ewert","submitted_at":"2026-05-28T10:46:55Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29750","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.29750/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.29750","created_at":"2026-05-29T01:05:57.784563+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.29750v1","created_at":"2026-05-29T01:05:57.784563+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.29750","created_at":"2026-05-29T01:05:57.784563+00:00"},{"alias_kind":"pith_short_12","alias_value":"RHKGJQ7IHK4C","created_at":"2026-05-29T01:05:57.784563+00:00"},{"alias_kind":"pith_short_16","alias_value":"RHKGJQ7IHK4CJJKB","created_at":"2026-05-29T01:05:57.784563+00:00"},{"alias_kind":"pith_short_8","alias_value":"RHKGJQ7I","created_at":"2026-05-29T01:05:57.784563+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RHKGJQ7IHK4CJJKB7XRCLHI4CC","json":"https://pith.science/pith/RHKGJQ7IHK4CJJKB7XRCLHI4CC.json","graph_json":"https://pith.science/api/pith-number/RHKGJQ7IHK4CJJKB7XRCLHI4CC/graph.json","events_json":"https://pith.science/api/pith-number/RHKGJQ7IHK4CJJKB7XRCLHI4CC/events.json","paper":"https://pith.science/paper/RHKGJQ7I"},"agent_actions":{"view_html":"https://pith.science/pith/RHKGJQ7IHK4CJJKB7XRCLHI4CC","download_json":"https://pith.science/pith/RHKGJQ7IHK4CJJKB7XRCLHI4CC.json","view_paper":"https://pith.science/paper/RHKGJQ7I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.29750&json=true","fetch_graph":"https://pith.science/api/pith-number/RHKGJQ7IHK4CJJKB7XRCLHI4CC/graph.json","fetch_events":"https://pith.science/api/pith-number/RHKGJQ7IHK4CJJKB7XRCLHI4CC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RHKGJQ7IHK4CJJKB7XRCLHI4CC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RHKGJQ7IHK4CJJKB7XRCLHI4CC/action/storage_attestation","attest_author":"https://pith.science/pith/RHKGJQ7IHK4CJJKB7XRCLHI4CC/action/author_attestation","sign_citation":"https://pith.science/pith/RHKGJQ7IHK4CJJKB7XRCLHI4CC/action/citation_signature","submit_replication":"https://pith.science/pith/RHKGJQ7IHK4CJJKB7XRCLHI4CC/action/replication_record"}},"created_at":"2026-05-29T01:05:57.784563+00:00","updated_at":"2026-05-29T01:05:57.784563+00:00"}