{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:XQQM6IQGZAW7USC3QJGNBSK7WY","short_pith_number":"pith:XQQM6IQG","canonical_record":{"source":{"id":"2505.18567","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-05-24T07:16:25Z","cross_cats_sorted":[],"title_canon_sha256":"9d2dd5f9b237f306ca67848a312578999145ce853b71bae91368eeeaf5581142","abstract_canon_sha256":"13fb0c7d210c077aa9af67d04544322d6c1b1465570b16780c7e35d4bb75a6ee"},"schema_version":"1.0"},"canonical_sha256":"bc20cf2206c82dfa485b824cd0c95fb63fba7d775dbb0c27b85d22020803222b","source":{"kind":"arxiv","id":"2505.18567","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.18567","created_at":"2026-07-05T11:08:48Z"},{"alias_kind":"arxiv_version","alias_value":"2505.18567v1","created_at":"2026-07-05T11:08:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.18567","created_at":"2026-07-05T11:08:48Z"},{"alias_kind":"pith_short_12","alias_value":"XQQM6IQGZAW7","created_at":"2026-07-05T11:08:48Z"},{"alias_kind":"pith_short_16","alias_value":"XQQM6IQGZAW7USC3","created_at":"2026-07-05T11:08:48Z"},{"alias_kind":"pith_short_8","alias_value":"XQQM6IQG","created_at":"2026-07-05T11:08:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:XQQM6IQGZAW7USC3QJGNBSK7WY","target":"record","payload":{"canonical_record":{"source":{"id":"2505.18567","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-05-24T07:16:25Z","cross_cats_sorted":[],"title_canon_sha256":"9d2dd5f9b237f306ca67848a312578999145ce853b71bae91368eeeaf5581142","abstract_canon_sha256":"13fb0c7d210c077aa9af67d04544322d6c1b1465570b16780c7e35d4bb75a6ee"},"schema_version":"1.0"},"canonical_sha256":"bc20cf2206c82dfa485b824cd0c95fb63fba7d775dbb0c27b85d22020803222b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:08:48.458996Z","signature_b64":"tFu+Hp5IfCY69hRy/KJmFxoGjZZHEyvWdc/BGiIfejCDK/9iakgPdkV7I//6MJIX5hhLRq8BvzBbpTkTruoJCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc20cf2206c82dfa485b824cd0c95fb63fba7d775dbb0c27b85d22020803222b","last_reissued_at":"2026-07-05T11:08:48.458543Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:08:48.458543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.18567","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:08:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OwqvKfMp4w8Bvhk4cyiuMVyBy2wFbasXteeI+I6MTh50OYOYJINL5WMYr6aH1a5dAf2ihAGM8Nm8nTqx89LoDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T07:54:57.843973Z"},"content_sha256":"9bd388242bc4df750812c5ffda29ea7378403d690859f490990472292312c6d0","schema_version":"1.0","event_id":"sha256:9bd388242bc4df750812c5ffda29ea7378403d690859f490990472292312c6d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:XQQM6IQGZAW7USC3QJGNBSK7WY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Partial data stability for the inverse fractional conductivity problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Antti Kujanp\\\"a\\\"a, Giovanni Covi, Jesse Railo","submitted_at":"2025-05-24T07:16:25Z","abstract_excerpt":"The classical Calder\\'on problem with partial data is known to be log-log stable in some special cases, but even the uniqueness problem is open in general. We study the partial data stability of an analogous inverse fractional conductivity problem on bounded smooth domains. Using the fractional Liouville reduction, we obtain a log-log stability estimate when the conductivities a priori agree in the measurement set and their difference has compact support. In the case in which the conductivities are assumed to agree a priori in the whole exterior of the domain, we obtain a shaper logarithmic st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.18567","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/2505.18567/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:08:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qUUucAgV+MeJN7pDVgUrosd90vLo83ziz/zLVB1zZEUMTnKFTmcKOa6RDaUBGTk66QOTqQggtb5tnR4xoTbsCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T07:54:57.844557Z"},"content_sha256":"9b5d998b3fd2ca3d23f8550505321063c067429d26c47cae66e3fe69276e44f9","schema_version":"1.0","event_id":"sha256:9b5d998b3fd2ca3d23f8550505321063c067429d26c47cae66e3fe69276e44f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XQQM6IQGZAW7USC3QJGNBSK7WY/bundle.json","state_url":"https://pith.science/pith/XQQM6IQGZAW7USC3QJGNBSK7WY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XQQM6IQGZAW7USC3QJGNBSK7WY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-09T07:54:57Z","links":{"resolver":"https://pith.science/pith/XQQM6IQGZAW7USC3QJGNBSK7WY","bundle":"https://pith.science/pith/XQQM6IQGZAW7USC3QJGNBSK7WY/bundle.json","state":"https://pith.science/pith/XQQM6IQGZAW7USC3QJGNBSK7WY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XQQM6IQGZAW7USC3QJGNBSK7WY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:XQQM6IQGZAW7USC3QJGNBSK7WY","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":"13fb0c7d210c077aa9af67d04544322d6c1b1465570b16780c7e35d4bb75a6ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-05-24T07:16:25Z","title_canon_sha256":"9d2dd5f9b237f306ca67848a312578999145ce853b71bae91368eeeaf5581142"},"schema_version":"1.0","source":{"id":"2505.18567","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.18567","created_at":"2026-07-05T11:08:48Z"},{"alias_kind":"arxiv_version","alias_value":"2505.18567v1","created_at":"2026-07-05T11:08:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.18567","created_at":"2026-07-05T11:08:48Z"},{"alias_kind":"pith_short_12","alias_value":"XQQM6IQGZAW7","created_at":"2026-07-05T11:08:48Z"},{"alias_kind":"pith_short_16","alias_value":"XQQM6IQGZAW7USC3","created_at":"2026-07-05T11:08:48Z"},{"alias_kind":"pith_short_8","alias_value":"XQQM6IQG","created_at":"2026-07-05T11:08:48Z"}],"graph_snapshots":[{"event_id":"sha256:9b5d998b3fd2ca3d23f8550505321063c067429d26c47cae66e3fe69276e44f9","target":"graph","created_at":"2026-07-05T11:08:48Z","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/2505.18567/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The classical Calder\\'on problem with partial data is known to be log-log stable in some special cases, but even the uniqueness problem is open in general. We study the partial data stability of an analogous inverse fractional conductivity problem on bounded smooth domains. Using the fractional Liouville reduction, we obtain a log-log stability estimate when the conductivities a priori agree in the measurement set and their difference has compact support. In the case in which the conductivities are assumed to agree a priori in the whole exterior of the domain, we obtain a shaper logarithmic st","authors_text":"Antti Kujanp\\\"a\\\"a, Giovanni Covi, Jesse Railo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.18567","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":"sha256:9bd388242bc4df750812c5ffda29ea7378403d690859f490990472292312c6d0","target":"record","created_at":"2026-07-05T11:08:48Z","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":"13fb0c7d210c077aa9af67d04544322d6c1b1465570b16780c7e35d4bb75a6ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-05-24T07:16:25Z","title_canon_sha256":"9d2dd5f9b237f306ca67848a312578999145ce853b71bae91368eeeaf5581142"},"schema_version":"1.0","source":{"id":"2505.18567","kind":"arxiv","version":1}},"canonical_sha256":"bc20cf2206c82dfa485b824cd0c95fb63fba7d775dbb0c27b85d22020803222b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc20cf2206c82dfa485b824cd0c95fb63fba7d775dbb0c27b85d22020803222b","first_computed_at":"2026-07-05T11:08:48.458543Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:08:48.458543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tFu+Hp5IfCY69hRy/KJmFxoGjZZHEyvWdc/BGiIfejCDK/9iakgPdkV7I//6MJIX5hhLRq8BvzBbpTkTruoJCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:08:48.458996Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.18567","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9bd388242bc4df750812c5ffda29ea7378403d690859f490990472292312c6d0","sha256:9b5d998b3fd2ca3d23f8550505321063c067429d26c47cae66e3fe69276e44f9"],"state_sha256":"8c277eaff3c3df3adb21ffa99cd8b880c958bfe8e861c8d9f24b7fd4f3c4e179"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XnOMkEA7lvBA9o67XMpGmNjYZucCVpkhNU+kKY1JPiuQ6YPx7Syj2tsfOypoFIwn/pmcDQLzc89AnlOIx1GlAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T07:54:57.849330Z","bundle_sha256":"f6ae6b14be4576267a332a4f1b3bf1d285ec361021cd8a9da7a00040a98ffbfc"}}