{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:CZ3MD6FVOHD4KSXJF5HRGR4OX4","short_pith_number":"pith:CZ3MD6FV","canonical_record":{"source":{"id":"1901.10467","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-01-29T08:15:38Z","cross_cats_sorted":["math-ph","math.MP","math.SP"],"title_canon_sha256":"ed2cc589a19d41b0bee54c009931e04aafbd15bcfdf0c8e397bc4fa7273cf370","abstract_canon_sha256":"a0b55c35a0e027be656e9bc4fac45757dc93f6bb328b11a8f00bc37f24bef99d"},"schema_version":"1.0"},"canonical_sha256":"1676c1f8b571c7c54ae92f4f13478ebf0280b7f6d98d2565cb0c553580d24779","source":{"kind":"arxiv","id":"1901.10467","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.10467","created_at":"2026-05-17T23:49:50Z"},{"alias_kind":"arxiv_version","alias_value":"1901.10467v2","created_at":"2026-05-17T23:49:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.10467","created_at":"2026-05-17T23:49:50Z"},{"alias_kind":"pith_short_12","alias_value":"CZ3MD6FVOHD4","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"CZ3MD6FVOHD4KSXJ","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"CZ3MD6FV","created_at":"2026-05-18T12:33:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:CZ3MD6FVOHD4KSXJF5HRGR4OX4","target":"record","payload":{"canonical_record":{"source":{"id":"1901.10467","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-01-29T08:15:38Z","cross_cats_sorted":["math-ph","math.MP","math.SP"],"title_canon_sha256":"ed2cc589a19d41b0bee54c009931e04aafbd15bcfdf0c8e397bc4fa7273cf370","abstract_canon_sha256":"a0b55c35a0e027be656e9bc4fac45757dc93f6bb328b11a8f00bc37f24bef99d"},"schema_version":"1.0"},"canonical_sha256":"1676c1f8b571c7c54ae92f4f13478ebf0280b7f6d98d2565cb0c553580d24779","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:50.142684Z","signature_b64":"r7pFniFATmzUBxT/4ZpjV6S6W/quluxntVmFd9fEZHH2/9hhI78sGUiJkKlu29nWIISDwKzM1nexIUPdSpbgDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1676c1f8b571c7c54ae92f4f13478ebf0280b7f6d98d2565cb0c553580d24779","last_reissued_at":"2026-05-17T23:49:50.142185Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:50.142185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.10467","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:49:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fx/OQRK/8Bq54FrilpYyoONCO/YEk5SheDPh+uNZ5CQBpgH6a55nHYaIokXfr3HxHsyhQ+lpvdrhuKkOXkGOBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:33:15.680945Z"},"content_sha256":"bf833fa29d53529b1632aa804fdc68713c744b69cdc5a62d2e726d99314060af","schema_version":"1.0","event_id":"sha256:bf833fa29d53529b1632aa804fdc68713c744b69cdc5a62d2e726d99314060af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:CZ3MD6FVOHD4KSXJF5HRGR4OX4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On non-uniqueness for the anisotropic Calder{\\'o}n problem with partial data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.SP"],"primary_cat":"math.AP","authors_text":"Fran\\c{c}ois Nicoleau (LMJL), Niky Kamran, Thierry Daud\\'e (AGM)","submitted_at":"2019-01-29T08:15:38Z","abstract_excerpt":"We show that there is non-uniqueness for the Calder{\\'o}n problem with partial data for Riemannian metrics with H{\\\"o}lder continuous coefficients in dimension greater or equal than three. We provide simple counterexamples in the case of cylindrical Riemannian manifolds with boundary having two ends. The coefficients of these metrics are smooth in the interior of the manifold and are only H{\\\"o}lder continuous of order $$\\rho$\\<1$ at the end where the measurements are made. More precisely, we construct a toroidal ring $(M, g)$ which is not a warped product manifold, and we show that there exis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.10467","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-17T23:49:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P6K7+o1RFI/J22RH1rUVIcolNHUe/lTS1flzWugag0eceNbwLscOqMKCj4vombEF2eiJwswi4c3u6lRCD0sVAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:33:15.681309Z"},"content_sha256":"58e2715a8600aece03982233e72be7ff9a7ab742edf5013429566b38c28bd9b7","schema_version":"1.0","event_id":"sha256:58e2715a8600aece03982233e72be7ff9a7ab742edf5013429566b38c28bd9b7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CZ3MD6FVOHD4KSXJF5HRGR4OX4/bundle.json","state_url":"https://pith.science/pith/CZ3MD6FVOHD4KSXJF5HRGR4OX4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CZ3MD6FVOHD4KSXJF5HRGR4OX4/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":"2026-06-08T17:33:15Z","links":{"resolver":"https://pith.science/pith/CZ3MD6FVOHD4KSXJF5HRGR4OX4","bundle":"https://pith.science/pith/CZ3MD6FVOHD4KSXJF5HRGR4OX4/bundle.json","state":"https://pith.science/pith/CZ3MD6FVOHD4KSXJF5HRGR4OX4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CZ3MD6FVOHD4KSXJF5HRGR4OX4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CZ3MD6FVOHD4KSXJF5HRGR4OX4","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":"a0b55c35a0e027be656e9bc4fac45757dc93f6bb328b11a8f00bc37f24bef99d","cross_cats_sorted":["math-ph","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-01-29T08:15:38Z","title_canon_sha256":"ed2cc589a19d41b0bee54c009931e04aafbd15bcfdf0c8e397bc4fa7273cf370"},"schema_version":"1.0","source":{"id":"1901.10467","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.10467","created_at":"2026-05-17T23:49:50Z"},{"alias_kind":"arxiv_version","alias_value":"1901.10467v2","created_at":"2026-05-17T23:49:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.10467","created_at":"2026-05-17T23:49:50Z"},{"alias_kind":"pith_short_12","alias_value":"CZ3MD6FVOHD4","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"CZ3MD6FVOHD4KSXJ","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"CZ3MD6FV","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:58e2715a8600aece03982233e72be7ff9a7ab742edf5013429566b38c28bd9b7","target":"graph","created_at":"2026-05-17T23:49:50Z","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"},"paper":{"abstract_excerpt":"We show that there is non-uniqueness for the Calder{\\'o}n problem with partial data for Riemannian metrics with H{\\\"o}lder continuous coefficients in dimension greater or equal than three. We provide simple counterexamples in the case of cylindrical Riemannian manifolds with boundary having two ends. The coefficients of these metrics are smooth in the interior of the manifold and are only H{\\\"o}lder continuous of order $$\\rho$\\<1$ at the end where the measurements are made. More precisely, we construct a toroidal ring $(M, g)$ which is not a warped product manifold, and we show that there exis","authors_text":"Fran\\c{c}ois Nicoleau (LMJL), Niky Kamran, Thierry Daud\\'e (AGM)","cross_cats":["math-ph","math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-01-29T08:15:38Z","title":"On non-uniqueness for the anisotropic Calder{\\'o}n problem with partial data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.10467","kind":"arxiv","version":2},"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:bf833fa29d53529b1632aa804fdc68713c744b69cdc5a62d2e726d99314060af","target":"record","created_at":"2026-05-17T23:49:50Z","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":"a0b55c35a0e027be656e9bc4fac45757dc93f6bb328b11a8f00bc37f24bef99d","cross_cats_sorted":["math-ph","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-01-29T08:15:38Z","title_canon_sha256":"ed2cc589a19d41b0bee54c009931e04aafbd15bcfdf0c8e397bc4fa7273cf370"},"schema_version":"1.0","source":{"id":"1901.10467","kind":"arxiv","version":2}},"canonical_sha256":"1676c1f8b571c7c54ae92f4f13478ebf0280b7f6d98d2565cb0c553580d24779","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1676c1f8b571c7c54ae92f4f13478ebf0280b7f6d98d2565cb0c553580d24779","first_computed_at":"2026-05-17T23:49:50.142185Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:50.142185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r7pFniFATmzUBxT/4ZpjV6S6W/quluxntVmFd9fEZHH2/9hhI78sGUiJkKlu29nWIISDwKzM1nexIUPdSpbgDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:50.142684Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.10467","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf833fa29d53529b1632aa804fdc68713c744b69cdc5a62d2e726d99314060af","sha256:58e2715a8600aece03982233e72be7ff9a7ab742edf5013429566b38c28bd9b7"],"state_sha256":"b0dbf043495e9b6dd182fb9989fcd92f9265e219c20dca7f08c26bea715a98d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XS0eAviu/UP+7kylYKygxZzzyaatQFtr5GPwfyzmBeh2UmsXBCLfavYgAdjFIMIuUqokUzp/Oes+k2RLrxTACg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T17:33:15.683744Z","bundle_sha256":"f2af3c33ce998c0bd969a8d1755437d70d84f2c04b8125a5e0945e1a1b61d9c6"}}