{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:CP7VFNM6Z4DDHFDESUVAFAU3MW","short_pith_number":"pith:CP7VFNM6","schema_version":"1.0","canonical_sha256":"13ff52b59ecf06339464952a02829b659cfed650587e1887ad09035ec2458ad5","source":{"kind":"arxiv","id":"2505.12255","version":3},"attestation_state":"computed","paper":{"title":"Anisotropic Calder\\'{o}n Problem for a Non-Local Second Order Elliptic Operator","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"India), Susovan Pramanik (Harish-Chandra Research Institute","submitted_at":"2025-05-18T06:21:23Z","abstract_excerpt":"This paper investigates the anisotropic Calder\\'{o}n problem for a non-local elliptic operator of order 2, on closed Riemannian manifolds. We demonstrate that using the Cauchy data set, we can recover the geometry of a closed Riemannian manifold up to standard gauge."},"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":"2505.12255","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-05-18T06:21:23Z","cross_cats_sorted":[],"title_canon_sha256":"1e308272d9100cb0623ae1f12c85b4e4353c1b5b520a02fedb118570e56be632","abstract_canon_sha256":"8082051462868276a48fef870d95787c49cd4725e55d28be3fa51c81c12d7421"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:11:45.484398Z","signature_b64":"bHW4jf3bPbnFlN5/qqxQ3yqhQkAbV3EoZtETADGwC9emUtmZxpTnSxtBtZvtFVsaGxXgRccLLfjxcRVPi1uNDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13ff52b59ecf06339464952a02829b659cfed650587e1887ad09035ec2458ad5","last_reissued_at":"2026-07-05T11:11:45.483936Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:11:45.483936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Anisotropic Calder\\'{o}n Problem for a Non-Local Second Order Elliptic Operator","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"India), Susovan Pramanik (Harish-Chandra Research Institute","submitted_at":"2025-05-18T06:21:23Z","abstract_excerpt":"This paper investigates the anisotropic Calder\\'{o}n problem for a non-local elliptic operator of order 2, on closed Riemannian manifolds. We demonstrate that using the Cauchy data set, we can recover the geometry of a closed Riemannian manifold up to standard gauge."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.12255","kind":"arxiv","version":3},"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/2505.12255/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":"2505.12255","created_at":"2026-07-05T11:11:45.483991+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.12255v3","created_at":"2026-07-05T11:11:45.483991+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.12255","created_at":"2026-07-05T11:11:45.483991+00:00"},{"alias_kind":"pith_short_12","alias_value":"CP7VFNM6Z4DD","created_at":"2026-07-05T11:11:45.483991+00:00"},{"alias_kind":"pith_short_16","alias_value":"CP7VFNM6Z4DDHFDE","created_at":"2026-07-05T11:11:45.483991+00:00"},{"alias_kind":"pith_short_8","alias_value":"CP7VFNM6","created_at":"2026-07-05T11:11:45.483991+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.12535","citing_title":"Anisotropic Calder\\'{o}n problem of a nearly Laplace-Beltrami operator of order $2+$","ref_index":43,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CP7VFNM6Z4DDHFDESUVAFAU3MW","json":"https://pith.science/pith/CP7VFNM6Z4DDHFDESUVAFAU3MW.json","graph_json":"https://pith.science/api/pith-number/CP7VFNM6Z4DDHFDESUVAFAU3MW/graph.json","events_json":"https://pith.science/api/pith-number/CP7VFNM6Z4DDHFDESUVAFAU3MW/events.json","paper":"https://pith.science/paper/CP7VFNM6"},"agent_actions":{"view_html":"https://pith.science/pith/CP7VFNM6Z4DDHFDESUVAFAU3MW","download_json":"https://pith.science/pith/CP7VFNM6Z4DDHFDESUVAFAU3MW.json","view_paper":"https://pith.science/paper/CP7VFNM6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.12255&json=true","fetch_graph":"https://pith.science/api/pith-number/CP7VFNM6Z4DDHFDESUVAFAU3MW/graph.json","fetch_events":"https://pith.science/api/pith-number/CP7VFNM6Z4DDHFDESUVAFAU3MW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CP7VFNM6Z4DDHFDESUVAFAU3MW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CP7VFNM6Z4DDHFDESUVAFAU3MW/action/storage_attestation","attest_author":"https://pith.science/pith/CP7VFNM6Z4DDHFDESUVAFAU3MW/action/author_attestation","sign_citation":"https://pith.science/pith/CP7VFNM6Z4DDHFDESUVAFAU3MW/action/citation_signature","submit_replication":"https://pith.science/pith/CP7VFNM6Z4DDHFDESUVAFAU3MW/action/replication_record"}},"created_at":"2026-07-05T11:11:45.483991+00:00","updated_at":"2026-07-05T11:11:45.483991+00:00"}