{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:YV33GFVXULXJO2DAVNVSJ6KMOX","short_pith_number":"pith:YV33GFVX","canonical_record":{"source":{"id":"2005.10447","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-05-21T03:30:43Z","cross_cats_sorted":[],"title_canon_sha256":"f88fe7fa551860f98aee55938c7ae7eb235b1775144d019143b81db9f9e3b013","abstract_canon_sha256":"542439284046af710616b08a27dedfe69b8ebf276ba55d5675366d093921df00"},"schema_version":"1.0"},"canonical_sha256":"c577b316b7a2ee976860ab6b24f94c75e5f556518c548880f9f736530a0dddff","source":{"kind":"arxiv","id":"2005.10447","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.10447","created_at":"2026-07-05T02:09:39Z"},{"alias_kind":"arxiv_version","alias_value":"2005.10447v2","created_at":"2026-07-05T02:09:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.10447","created_at":"2026-07-05T02:09:39Z"},{"alias_kind":"pith_short_12","alias_value":"YV33GFVXULXJ","created_at":"2026-07-05T02:09:39Z"},{"alias_kind":"pith_short_16","alias_value":"YV33GFVXULXJO2DA","created_at":"2026-07-05T02:09:39Z"},{"alias_kind":"pith_short_8","alias_value":"YV33GFVX","created_at":"2026-07-05T02:09:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:YV33GFVXULXJO2DAVNVSJ6KMOX","target":"record","payload":{"canonical_record":{"source":{"id":"2005.10447","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-05-21T03:30:43Z","cross_cats_sorted":[],"title_canon_sha256":"f88fe7fa551860f98aee55938c7ae7eb235b1775144d019143b81db9f9e3b013","abstract_canon_sha256":"542439284046af710616b08a27dedfe69b8ebf276ba55d5675366d093921df00"},"schema_version":"1.0"},"canonical_sha256":"c577b316b7a2ee976860ab6b24f94c75e5f556518c548880f9f736530a0dddff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:09:39.935251Z","signature_b64":"1Ob0k4k8OMOYd87CvY9KSkGLhJUg0MqxibK48iWIzY4GARQgxAj+jjIZHgA9jaWlNA4aEDPj4JuPmq082NpLBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c577b316b7a2ee976860ab6b24f94c75e5f556518c548880f9f736530a0dddff","last_reissued_at":"2026-07-05T02:09:39.934852Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:09:39.934852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2005.10447","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":"2026-07-05T02:09:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YEACGjkm2rFQbUTL9viqTa6qkaWOSwcFJltduUnq5fozXgwi+M1ETkkaIMqvtTUzasemsOny/hThIxZxLzWhAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T01:21:28.995614Z"},"content_sha256":"23ddf3c9749278add644c9c0ffbc01ea9ee554a88161d1f670e806ff022b5e87","schema_version":"1.0","event_id":"sha256:23ddf3c9749278add644c9c0ffbc01ea9ee554a88161d1f670e806ff022b5e87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:YV33GFVXULXJO2DAVNVSJ6KMOX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gunther Uhlmann, Jian Zhai, Peter Hintz","submitted_at":"2020-05-21T03:30:43Z","abstract_excerpt":"We consider an inverse boundary value problem for a semilinear wave equation on a time-dependent Lorentzian manifold with time-like boundary. The time-dependent coefficients of the nonlinear terms can be recovered in the interior from the knowledge of the Neumann-to-Dirichlet map. Either distorted plane waves or Gaussian beams can be used to derive uniqueness."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.10447","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2005.10447/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":"2026-07-05T02:09:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iftsjD0j8hgplZBi4PSUw6F9IavkZk4Sq9yDl8nLwOQ3mVCpilqbmmYcpheMnB+pWHcOrk9qioI0api3qzEoAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T01:21:28.995999Z"},"content_sha256":"d43e4a4892e9c7fe3bf4e903726833c9936491999aeef07145ff2979487ae667","schema_version":"1.0","event_id":"sha256:d43e4a4892e9c7fe3bf4e903726833c9936491999aeef07145ff2979487ae667"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YV33GFVXULXJO2DAVNVSJ6KMOX/bundle.json","state_url":"https://pith.science/pith/YV33GFVXULXJO2DAVNVSJ6KMOX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YV33GFVXULXJO2DAVNVSJ6KMOX/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":"2026-08-17T01:21:28Z","links":{"resolver":"https://pith.science/pith/YV33GFVXULXJO2DAVNVSJ6KMOX","bundle":"https://pith.science/pith/YV33GFVXULXJO2DAVNVSJ6KMOX/bundle.json","state":"https://pith.science/pith/YV33GFVXULXJO2DAVNVSJ6KMOX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YV33GFVXULXJO2DAVNVSJ6KMOX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:YV33GFVXULXJO2DAVNVSJ6KMOX","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":"542439284046af710616b08a27dedfe69b8ebf276ba55d5675366d093921df00","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-05-21T03:30:43Z","title_canon_sha256":"f88fe7fa551860f98aee55938c7ae7eb235b1775144d019143b81db9f9e3b013"},"schema_version":"1.0","source":{"id":"2005.10447","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.10447","created_at":"2026-07-05T02:09:39Z"},{"alias_kind":"arxiv_version","alias_value":"2005.10447v2","created_at":"2026-07-05T02:09:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.10447","created_at":"2026-07-05T02:09:39Z"},{"alias_kind":"pith_short_12","alias_value":"YV33GFVXULXJ","created_at":"2026-07-05T02:09:39Z"},{"alias_kind":"pith_short_16","alias_value":"YV33GFVXULXJO2DA","created_at":"2026-07-05T02:09:39Z"},{"alias_kind":"pith_short_8","alias_value":"YV33GFVX","created_at":"2026-07-05T02:09:39Z"}],"graph_snapshots":[{"event_id":"sha256:d43e4a4892e9c7fe3bf4e903726833c9936491999aeef07145ff2979487ae667","target":"graph","created_at":"2026-07-05T02:09:39Z","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/2005.10447/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider an inverse boundary value problem for a semilinear wave equation on a time-dependent Lorentzian manifold with time-like boundary. The time-dependent coefficients of the nonlinear terms can be recovered in the interior from the knowledge of the Neumann-to-Dirichlet map. Either distorted plane waves or Gaussian beams can be used to derive uniqueness.","authors_text":"Gunther Uhlmann, Jian Zhai, Peter Hintz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-05-21T03:30:43Z","title":"An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.10447","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":"sha256:23ddf3c9749278add644c9c0ffbc01ea9ee554a88161d1f670e806ff022b5e87","target":"record","created_at":"2026-07-05T02:09:39Z","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":"542439284046af710616b08a27dedfe69b8ebf276ba55d5675366d093921df00","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-05-21T03:30:43Z","title_canon_sha256":"f88fe7fa551860f98aee55938c7ae7eb235b1775144d019143b81db9f9e3b013"},"schema_version":"1.0","source":{"id":"2005.10447","kind":"arxiv","version":2}},"canonical_sha256":"c577b316b7a2ee976860ab6b24f94c75e5f556518c548880f9f736530a0dddff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c577b316b7a2ee976860ab6b24f94c75e5f556518c548880f9f736530a0dddff","first_computed_at":"2026-07-05T02:09:39.934852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:09:39.934852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1Ob0k4k8OMOYd87CvY9KSkGLhJUg0MqxibK48iWIzY4GARQgxAj+jjIZHgA9jaWlNA4aEDPj4JuPmq082NpLBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:09:39.935251Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.10447","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23ddf3c9749278add644c9c0ffbc01ea9ee554a88161d1f670e806ff022b5e87","sha256:d43e4a4892e9c7fe3bf4e903726833c9936491999aeef07145ff2979487ae667"],"state_sha256":"43002a36c4be89fdfb6e89d0ff7b180a8b8aa387b43b7fed302643882182eeb2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m7mIMhO39D01BwgyVWXVOjlH5uDWzcsE2gj+ABAecEdAWHFKdKDNQrfQNg09+oVqPu3vrmbPzNzKH6EaPl/WCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T01:21:28.999679Z","bundle_sha256":"17f5a2b8639d1d62c471485e01b23f7853216463372ed31f34824ee58f29d93b"}}