{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:QKUC6EJ2ZHTWMPDX57VGKBNHCD","short_pith_number":"pith:QKUC6EJ2","canonical_record":{"source":{"id":"1309.7384","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-09-27T22:47:51Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"72c89909bd9bd6c4c8f774f64fbac168aaa903714f1753bd9f5ea7aa44f3ceaf","abstract_canon_sha256":"aaac2ed3a8700e581249ebb48216bb754b7e466f7cd47141a2975b8490db4694"},"schema_version":"1.0"},"canonical_sha256":"82a82f113ac9e7663c77efea6505a710c7f076f3a1ebb02257f6b52b0c9c8972","source":{"kind":"arxiv","id":"1309.7384","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.7384","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"arxiv_version","alias_value":"1309.7384v1","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7384","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"pith_short_12","alias_value":"QKUC6EJ2ZHTW","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QKUC6EJ2ZHTWMPDX","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QKUC6EJ2","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:QKUC6EJ2ZHTWMPDX57VGKBNHCD","target":"record","payload":{"canonical_record":{"source":{"id":"1309.7384","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-09-27T22:47:51Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"72c89909bd9bd6c4c8f774f64fbac168aaa903714f1753bd9f5ea7aa44f3ceaf","abstract_canon_sha256":"aaac2ed3a8700e581249ebb48216bb754b7e466f7cd47141a2975b8490db4694"},"schema_version":"1.0"},"canonical_sha256":"82a82f113ac9e7663c77efea6505a710c7f076f3a1ebb02257f6b52b0c9c8972","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:38.997650Z","signature_b64":"uGvKfb9SmssafKFtwcMwKHpnU4oU5J3SID7QG9m0jYIFUdhfGbiKWXschPQxddEzaCwctcF4KYc7HnV76lgtBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82a82f113ac9e7663c77efea6505a710c7f076f3a1ebb02257f6b52b0c9c8972","last_reissued_at":"2026-05-18T01:59:38.996906Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:38.996906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.7384","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":"2026-05-18T01:59:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9t1v8Sv4tAiNmmO5PAYpK+qPZWrbO3EqJsa8HjbtdeVssLgzy84ECaDOz3+Iq+iYxd7ETVcz07m8YWOWGOlMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T01:45:51.956294Z"},"content_sha256":"ac65c0cd73d5969d3afec5ab50012352680843a39226cab33b582b538cc62332","schema_version":"1.0","event_id":"sha256:ac65c0cd73d5969d3afec5ab50012352680843a39226cab33b582b538cc62332"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:QKUC6EJ2ZHTWMPDX57VGKBNHCD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Restarted inverse Born series for the Schr\\\"odinger problem with discrete internal measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Fernando Guevara Vasquez, Patrick Bardsley","submitted_at":"2013-09-27T22:47:51Z","abstract_excerpt":"Convergence and stability results for the inverse Born series [Moskow and Schotland, Inverse Problems, 24:065005, 2008] are generalized to mappings between Banach spaces. We show that by restarting the inverse Born series one obtains a class of iterative methods containing the Gauss-Newton and Chebyshev-Halley methods. We use the generalized inverse Born series results to show convergence of the inverse Born series for the Schr\\\"odinger problem with discrete internal measurements. In this problem, the Schr\\\"odinger potential is to be recovered from a few measurements of solutions to the Schr\\\""},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7384","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":"2026-05-18T01:59:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"juCbjUfy2TSeHJk2JXjixbwRcy6+1b69C36l5jtRIQbz1viY5NBpLQLDI5rjDVYyW1QVgdt++U18UZVamTsHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T01:45:51.956647Z"},"content_sha256":"38fe7fd862a7519d6e687fe5198249f6aa633e51e37962722b324a4010b6abf3","schema_version":"1.0","event_id":"sha256:38fe7fd862a7519d6e687fe5198249f6aa633e51e37962722b324a4010b6abf3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QKUC6EJ2ZHTWMPDX57VGKBNHCD/bundle.json","state_url":"https://pith.science/pith/QKUC6EJ2ZHTWMPDX57VGKBNHCD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QKUC6EJ2ZHTWMPDX57VGKBNHCD/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":"2026-06-23T01:45:51Z","links":{"resolver":"https://pith.science/pith/QKUC6EJ2ZHTWMPDX57VGKBNHCD","bundle":"https://pith.science/pith/QKUC6EJ2ZHTWMPDX57VGKBNHCD/bundle.json","state":"https://pith.science/pith/QKUC6EJ2ZHTWMPDX57VGKBNHCD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QKUC6EJ2ZHTWMPDX57VGKBNHCD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QKUC6EJ2ZHTWMPDX57VGKBNHCD","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":"aaac2ed3a8700e581249ebb48216bb754b7e466f7cd47141a2975b8490db4694","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-09-27T22:47:51Z","title_canon_sha256":"72c89909bd9bd6c4c8f774f64fbac168aaa903714f1753bd9f5ea7aa44f3ceaf"},"schema_version":"1.0","source":{"id":"1309.7384","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.7384","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"arxiv_version","alias_value":"1309.7384v1","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7384","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"pith_short_12","alias_value":"QKUC6EJ2ZHTW","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QKUC6EJ2ZHTWMPDX","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QKUC6EJ2","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:38fe7fd862a7519d6e687fe5198249f6aa633e51e37962722b324a4010b6abf3","target":"graph","created_at":"2026-05-18T01:59:38Z","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":"Convergence and stability results for the inverse Born series [Moskow and Schotland, Inverse Problems, 24:065005, 2008] are generalized to mappings between Banach spaces. We show that by restarting the inverse Born series one obtains a class of iterative methods containing the Gauss-Newton and Chebyshev-Halley methods. We use the generalized inverse Born series results to show convergence of the inverse Born series for the Schr\\\"odinger problem with discrete internal measurements. In this problem, the Schr\\\"odinger potential is to be recovered from a few measurements of solutions to the Schr\\\"","authors_text":"Fernando Guevara Vasquez, Patrick Bardsley","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-09-27T22:47:51Z","title":"Restarted inverse Born series for the Schr\\\"odinger problem with discrete internal measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7384","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:ac65c0cd73d5969d3afec5ab50012352680843a39226cab33b582b538cc62332","target":"record","created_at":"2026-05-18T01:59:38Z","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":"aaac2ed3a8700e581249ebb48216bb754b7e466f7cd47141a2975b8490db4694","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-09-27T22:47:51Z","title_canon_sha256":"72c89909bd9bd6c4c8f774f64fbac168aaa903714f1753bd9f5ea7aa44f3ceaf"},"schema_version":"1.0","source":{"id":"1309.7384","kind":"arxiv","version":1}},"canonical_sha256":"82a82f113ac9e7663c77efea6505a710c7f076f3a1ebb02257f6b52b0c9c8972","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82a82f113ac9e7663c77efea6505a710c7f076f3a1ebb02257f6b52b0c9c8972","first_computed_at":"2026-05-18T01:59:38.996906Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:38.996906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uGvKfb9SmssafKFtwcMwKHpnU4oU5J3SID7QG9m0jYIFUdhfGbiKWXschPQxddEzaCwctcF4KYc7HnV76lgtBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:38.997650Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.7384","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac65c0cd73d5969d3afec5ab50012352680843a39226cab33b582b538cc62332","sha256:38fe7fd862a7519d6e687fe5198249f6aa633e51e37962722b324a4010b6abf3"],"state_sha256":"482934e882d1bdec9bc8f1d6e4f5a186859c18aba078b12baf640cf8110153df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wkxsrSvqktft8WnKqIDtoeVX5epTH0cOpHFUjVikEFij/j4w03xNmnYkQR6f67Db3QldWBgInpz5/bYMrsUHAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T01:45:51.958535Z","bundle_sha256":"becff5ab8072ba37ac09887fbc916925009a230fca8a9137d765abe850da6ee9"}}