{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:D3LJADQLQ45QHH2VZPQDT7W2SS","short_pith_number":"pith:D3LJADQL","canonical_record":{"source":{"id":"1110.4339","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-19T17:25:13Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"2bec34fd611f8f0d8beb6ca6cefef2b1262af1019214b2f011c2479db8ff7c25","abstract_canon_sha256":"58f4a9d130e9e7c9fa6be19d32c87168cdbd8ed8101adfce530e0262c7271558"},"schema_version":"1.0"},"canonical_sha256":"1ed6900e0b873b039f55cbe039feda94907a8acae759eb21230e94c8e8c3b860","source":{"kind":"arxiv","id":"1110.4339","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4339","created_at":"2026-05-18T04:10:37Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4339v1","created_at":"2026-05-18T04:10:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4339","created_at":"2026-05-18T04:10:37Z"},{"alias_kind":"pith_short_12","alias_value":"D3LJADQLQ45Q","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"D3LJADQLQ45QHH2V","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"D3LJADQL","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:D3LJADQLQ45QHH2VZPQDT7W2SS","target":"record","payload":{"canonical_record":{"source":{"id":"1110.4339","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-19T17:25:13Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"2bec34fd611f8f0d8beb6ca6cefef2b1262af1019214b2f011c2479db8ff7c25","abstract_canon_sha256":"58f4a9d130e9e7c9fa6be19d32c87168cdbd8ed8101adfce530e0262c7271558"},"schema_version":"1.0"},"canonical_sha256":"1ed6900e0b873b039f55cbe039feda94907a8acae759eb21230e94c8e8c3b860","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:37.578558Z","signature_b64":"/29OHW1k3AGBj/w9isbQ1fPgJtDHcMh0H2fnaD5okTwPvf0TX/9zP2njaDcrWoqaP4eCU2lkuj+GaGDzMiSFDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ed6900e0b873b039f55cbe039feda94907a8acae759eb21230e94c8e8c3b860","last_reissued_at":"2026-05-18T04:10:37.577836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:37.577836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.4339","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":"2026-05-18T04:10:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zlV/FIWyVZuj3F+TU8unS4OF/ATNNWV6rd6b6+jyWuZZxrwNMdPS/KR0whw6G8AK3PHzPdoE+Uo7chdkBbjkBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T23:46:34.291833Z"},"content_sha256":"38ca426c26f0376535c00f9f6681e20001c33b3572999dae06a4cd408e95a351","schema_version":"1.0","event_id":"sha256:38ca426c26f0376535c00f9f6681e20001c33b3572999dae06a4cd408e95a351"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:D3LJADQLQ45QHH2VZPQDT7W2SS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Microlocal analysis of an ultrasound transform with circular source and receiver trajectories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Eric Todd Quinto, Gaik Ambartsoumian, Venky P. Krishnan","submitted_at":"2011-10-19T17:25:13Z","abstract_excerpt":"In this article, we consider a generalized Radon transform that comes up in ultrasound reflection tomography. In our model, the ultrasound emitter and receiver move at a constant distance apart along a circle. We analyze the microlocal properties of the transform $R$ that arises from this model. As a consequence, we show that for distributions with support sufficiently inside the circle, $R^*R$ is an elliptic pseudodifferential operator of order $-1$ and hence all the singularities of such distributions can be recovered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4339","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":""},"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":"2026-05-18T04:10:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8vhqhlIEayzBnfyGgdv5jV/qazGWbkv3vJpGMfoC6OfVfj5XpFN34sEfC37v8Mu6xwF4YUcU8KwUfYmz0y62Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T23:46:34.292180Z"},"content_sha256":"c9e6afd47787d375577e99b04250a3e62f22dc64a443f8ed9acd89f966957ef8","schema_version":"1.0","event_id":"sha256:c9e6afd47787d375577e99b04250a3e62f22dc64a443f8ed9acd89f966957ef8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D3LJADQLQ45QHH2VZPQDT7W2SS/bundle.json","state_url":"https://pith.science/pith/D3LJADQLQ45QHH2VZPQDT7W2SS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D3LJADQLQ45QHH2VZPQDT7W2SS/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":"2026-06-21T23:46:34Z","links":{"resolver":"https://pith.science/pith/D3LJADQLQ45QHH2VZPQDT7W2SS","bundle":"https://pith.science/pith/D3LJADQLQ45QHH2VZPQDT7W2SS/bundle.json","state":"https://pith.science/pith/D3LJADQLQ45QHH2VZPQDT7W2SS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D3LJADQLQ45QHH2VZPQDT7W2SS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:D3LJADQLQ45QHH2VZPQDT7W2SS","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":"58f4a9d130e9e7c9fa6be19d32c87168cdbd8ed8101adfce530e0262c7271558","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-19T17:25:13Z","title_canon_sha256":"2bec34fd611f8f0d8beb6ca6cefef2b1262af1019214b2f011c2479db8ff7c25"},"schema_version":"1.0","source":{"id":"1110.4339","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4339","created_at":"2026-05-18T04:10:37Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4339v1","created_at":"2026-05-18T04:10:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4339","created_at":"2026-05-18T04:10:37Z"},{"alias_kind":"pith_short_12","alias_value":"D3LJADQLQ45Q","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"D3LJADQLQ45QHH2V","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"D3LJADQL","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:c9e6afd47787d375577e99b04250a3e62f22dc64a443f8ed9acd89f966957ef8","target":"graph","created_at":"2026-05-18T04:10:37Z","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":"In this article, we consider a generalized Radon transform that comes up in ultrasound reflection tomography. In our model, the ultrasound emitter and receiver move at a constant distance apart along a circle. We analyze the microlocal properties of the transform $R$ that arises from this model. As a consequence, we show that for distributions with support sufficiently inside the circle, $R^*R$ is an elliptic pseudodifferential operator of order $-1$ and hence all the singularities of such distributions can be recovered.","authors_text":"Eric Todd Quinto, Gaik Ambartsoumian, Venky P. Krishnan","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-19T17:25:13Z","title":"Microlocal analysis of an ultrasound transform with circular source and receiver trajectories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4339","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":"sha256:38ca426c26f0376535c00f9f6681e20001c33b3572999dae06a4cd408e95a351","target":"record","created_at":"2026-05-18T04:10:37Z","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":"58f4a9d130e9e7c9fa6be19d32c87168cdbd8ed8101adfce530e0262c7271558","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-19T17:25:13Z","title_canon_sha256":"2bec34fd611f8f0d8beb6ca6cefef2b1262af1019214b2f011c2479db8ff7c25"},"schema_version":"1.0","source":{"id":"1110.4339","kind":"arxiv","version":1}},"canonical_sha256":"1ed6900e0b873b039f55cbe039feda94907a8acae759eb21230e94c8e8c3b860","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ed6900e0b873b039f55cbe039feda94907a8acae759eb21230e94c8e8c3b860","first_computed_at":"2026-05-18T04:10:37.577836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:37.577836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/29OHW1k3AGBj/w9isbQ1fPgJtDHcMh0H2fnaD5okTwPvf0TX/9zP2njaDcrWoqaP4eCU2lkuj+GaGDzMiSFDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:37.578558Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.4339","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38ca426c26f0376535c00f9f6681e20001c33b3572999dae06a4cd408e95a351","sha256:c9e6afd47787d375577e99b04250a3e62f22dc64a443f8ed9acd89f966957ef8"],"state_sha256":"4245b03021bb29544999cf0f385c2c26e2b2d72c188ef72434b48a45035a45bc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A4itHLkFe0TZpJg4ZDxmcFzbe+TDr7Z9kL4Q6pwsMQlBba3RrYIiR8uPqrNxN/5XoaSeJi3UiTy7CTCs+WvYAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T23:46:34.294111Z","bundle_sha256":"89d7dd623a83c349965d1459c969d011771ab272a16521c02d6765d10878391e"}}