{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:L57DJ7WBTK4IV7GBARIPSLGMIZ","short_pith_number":"pith:L57DJ7WB","schema_version":"1.0","canonical_sha256":"5f7e34fec19ab88afcc10450f92ccc4644a5e44b7f37426ad96d3b77f19ed6b7","source":{"kind":"arxiv","id":"2606.23248","version":1},"attestation_state":"computed","paper":{"title":"A mass-type invariant for smooth metric measure spaces and its relation with the fractional Yamabe problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Levi Lopes de Lima, Sergio Almaraz, Shaodong Wang","submitted_at":"2026-06-22T12:30:26Z","abstract_excerpt":"On an asymptotically Schwarzschild smooth metric measure space modelled on the Euclidean half-space, we define a mass-type quantity similar to the classical ADM mass in General Relativity and show its geometric invariance properties. Such quantity has a close relation with the fractional Yamabe problem and the relevant Green's function."},"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":"2606.23248","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-06-22T12:30:26Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"8187f540b8613d829179438fd25798f1c0e1f9b09acef8c5f6a643d1a2c7cbde","abstract_canon_sha256":"f09cdb0f03ce6d29b7144268e8ff25e22d8c91ae4c2a5a37e277fa75cdae77e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T03:14:14.821598Z","signature_b64":"YfUKV+B3Eytx0BnJm6nJUa2jH3lNqiPHZktze6hKg/Iobeo+54czHryO9x38bAu8CmQBJLvOmI4k5m/D8o3bAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f7e34fec19ab88afcc10450f92ccc4644a5e44b7f37426ad96d3b77f19ed6b7","last_reissued_at":"2026-06-23T03:14:14.821212Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T03:14:14.821212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A mass-type invariant for smooth metric measure spaces and its relation with the fractional Yamabe problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Levi Lopes de Lima, Sergio Almaraz, Shaodong Wang","submitted_at":"2026-06-22T12:30:26Z","abstract_excerpt":"On an asymptotically Schwarzschild smooth metric measure space modelled on the Euclidean half-space, we define a mass-type quantity similar to the classical ADM mass in General Relativity and show its geometric invariance properties. Such quantity has a close relation with the fractional Yamabe problem and the relevant Green's function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.23248","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/2606.23248/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":"2606.23248","created_at":"2026-06-23T03:14:14.821270+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.23248v1","created_at":"2026-06-23T03:14:14.821270+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.23248","created_at":"2026-06-23T03:14:14.821270+00:00"},{"alias_kind":"pith_short_12","alias_value":"L57DJ7WBTK4I","created_at":"2026-06-23T03:14:14.821270+00:00"},{"alias_kind":"pith_short_16","alias_value":"L57DJ7WBTK4IV7GB","created_at":"2026-06-23T03:14:14.821270+00:00"},{"alias_kind":"pith_short_8","alias_value":"L57DJ7WB","created_at":"2026-06-23T03:14:14.821270+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/L57DJ7WBTK4IV7GBARIPSLGMIZ","json":"https://pith.science/pith/L57DJ7WBTK4IV7GBARIPSLGMIZ.json","graph_json":"https://pith.science/api/pith-number/L57DJ7WBTK4IV7GBARIPSLGMIZ/graph.json","events_json":"https://pith.science/api/pith-number/L57DJ7WBTK4IV7GBARIPSLGMIZ/events.json","paper":"https://pith.science/paper/L57DJ7WB"},"agent_actions":{"view_html":"https://pith.science/pith/L57DJ7WBTK4IV7GBARIPSLGMIZ","download_json":"https://pith.science/pith/L57DJ7WBTK4IV7GBARIPSLGMIZ.json","view_paper":"https://pith.science/paper/L57DJ7WB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.23248&json=true","fetch_graph":"https://pith.science/api/pith-number/L57DJ7WBTK4IV7GBARIPSLGMIZ/graph.json","fetch_events":"https://pith.science/api/pith-number/L57DJ7WBTK4IV7GBARIPSLGMIZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L57DJ7WBTK4IV7GBARIPSLGMIZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L57DJ7WBTK4IV7GBARIPSLGMIZ/action/storage_attestation","attest_author":"https://pith.science/pith/L57DJ7WBTK4IV7GBARIPSLGMIZ/action/author_attestation","sign_citation":"https://pith.science/pith/L57DJ7WBTK4IV7GBARIPSLGMIZ/action/citation_signature","submit_replication":"https://pith.science/pith/L57DJ7WBTK4IV7GBARIPSLGMIZ/action/replication_record"}},"created_at":"2026-06-23T03:14:14.821270+00:00","updated_at":"2026-06-23T03:14:14.821270+00:00"}