{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:J73I6ZW7TR6U3YF56SNQAXVUFI","short_pith_number":"pith:J73I6ZW7","canonical_record":{"source":{"id":"1604.06555","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-22T07:07:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0ec47fd657475155f5c6e5e4be2adeb7e1877a144ce22b7bfffa6204a4ac9e2c","abstract_canon_sha256":"0353485a0f0e48cdfbdcd9110d0775b225a71a3048138acda93b864de28c1a47"},"schema_version":"1.0"},"canonical_sha256":"4ff68f66df9c7d4de0bdf49b005eb42a04fd30929f0091662793963d42af7ca9","source":{"kind":"arxiv","id":"1604.06555","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06555","created_at":"2026-05-18T00:55:25Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06555v2","created_at":"2026-05-18T00:55:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06555","created_at":"2026-05-18T00:55:25Z"},{"alias_kind":"pith_short_12","alias_value":"J73I6ZW7TR6U","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J73I6ZW7TR6U3YF5","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J73I6ZW7","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:J73I6ZW7TR6U3YF56SNQAXVUFI","target":"record","payload":{"canonical_record":{"source":{"id":"1604.06555","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-22T07:07:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0ec47fd657475155f5c6e5e4be2adeb7e1877a144ce22b7bfffa6204a4ac9e2c","abstract_canon_sha256":"0353485a0f0e48cdfbdcd9110d0775b225a71a3048138acda93b864de28c1a47"},"schema_version":"1.0"},"canonical_sha256":"4ff68f66df9c7d4de0bdf49b005eb42a04fd30929f0091662793963d42af7ca9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:25.160027Z","signature_b64":"R7zk5+EKof/D+v1N//dtUPV8vQ/Oq4GSrIRCLA64VQS+VuJf4tStfbQaqL2DRr59Fi2AO2fAdnUe8/X6uyOhCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ff68f66df9c7d4de0bdf49b005eb42a04fd30929f0091662793963d42af7ca9","last_reissued_at":"2026-05-18T00:55:25.159514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:25.159514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.06555","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":"2026-05-18T00:55:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yb2b9LMtY/hQrIlZaMClury2lqBYYlQuZvEOkBig8RphabMDp4WXNOOcVKysWg+fl9pcGWwbBe/kSj/tVfslDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T04:06:00.097270Z"},"content_sha256":"de0fca1a809e4840457515841bc22395562ff7cdb118b270428d08b7c5359b9b","schema_version":"1.0","event_id":"sha256:de0fca1a809e4840457515841bc22395562ff7cdb118b270428d08b7c5359b9b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:J73I6ZW7TR6U3YF56SNQAXVUFI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Error estimates for phaseless inverse scattering in the Born approximation at high energies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Alexey Agaltsov (CMAP), Roman Novikov (CMAP)","submitted_at":"2016-04-22T07:07:01Z","abstract_excerpt":"We study explicit formulas for phaseless inverse scattering in the Born approximation at high energies for the Schr\\\"odinger equation with compactly supported potential in dimension d $\\ge$ 2. We obtain error estimates for these formulas in the configuration space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06555","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":"2026-05-18T00:55:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xmqb9PU7w8HbJ0pZ0z6mE3Ew/qUyVl45Pte3VHnAcxemIHO7GJYy0YdZKF7I/nh1P/UdY1Q1nt9ZaLiEyDZyAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T04:06:00.097842Z"},"content_sha256":"f970fc827b8b90c56e204dff603aa16a0dfab21569f3e1d3798a6c1e5530a237","schema_version":"1.0","event_id":"sha256:f970fc827b8b90c56e204dff603aa16a0dfab21569f3e1d3798a6c1e5530a237"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J73I6ZW7TR6U3YF56SNQAXVUFI/bundle.json","state_url":"https://pith.science/pith/J73I6ZW7TR6U3YF56SNQAXVUFI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J73I6ZW7TR6U3YF56SNQAXVUFI/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":"2026-06-30T04:06:00Z","links":{"resolver":"https://pith.science/pith/J73I6ZW7TR6U3YF56SNQAXVUFI","bundle":"https://pith.science/pith/J73I6ZW7TR6U3YF56SNQAXVUFI/bundle.json","state":"https://pith.science/pith/J73I6ZW7TR6U3YF56SNQAXVUFI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J73I6ZW7TR6U3YF56SNQAXVUFI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:J73I6ZW7TR6U3YF56SNQAXVUFI","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":"0353485a0f0e48cdfbdcd9110d0775b225a71a3048138acda93b864de28c1a47","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-22T07:07:01Z","title_canon_sha256":"0ec47fd657475155f5c6e5e4be2adeb7e1877a144ce22b7bfffa6204a4ac9e2c"},"schema_version":"1.0","source":{"id":"1604.06555","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06555","created_at":"2026-05-18T00:55:25Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06555v2","created_at":"2026-05-18T00:55:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06555","created_at":"2026-05-18T00:55:25Z"},{"alias_kind":"pith_short_12","alias_value":"J73I6ZW7TR6U","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J73I6ZW7TR6U3YF5","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J73I6ZW7","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:f970fc827b8b90c56e204dff603aa16a0dfab21569f3e1d3798a6c1e5530a237","target":"graph","created_at":"2026-05-18T00:55:25Z","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 study explicit formulas for phaseless inverse scattering in the Born approximation at high energies for the Schr\\\"odinger equation with compactly supported potential in dimension d $\\ge$ 2. We obtain error estimates for these formulas in the configuration space.","authors_text":"Alexey Agaltsov (CMAP), Roman Novikov (CMAP)","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-22T07:07:01Z","title":"Error estimates for phaseless inverse scattering in the Born approximation at high energies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06555","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:de0fca1a809e4840457515841bc22395562ff7cdb118b270428d08b7c5359b9b","target":"record","created_at":"2026-05-18T00:55:25Z","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":"0353485a0f0e48cdfbdcd9110d0775b225a71a3048138acda93b864de28c1a47","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-22T07:07:01Z","title_canon_sha256":"0ec47fd657475155f5c6e5e4be2adeb7e1877a144ce22b7bfffa6204a4ac9e2c"},"schema_version":"1.0","source":{"id":"1604.06555","kind":"arxiv","version":2}},"canonical_sha256":"4ff68f66df9c7d4de0bdf49b005eb42a04fd30929f0091662793963d42af7ca9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ff68f66df9c7d4de0bdf49b005eb42a04fd30929f0091662793963d42af7ca9","first_computed_at":"2026-05-18T00:55:25.159514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:25.159514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R7zk5+EKof/D+v1N//dtUPV8vQ/Oq4GSrIRCLA64VQS+VuJf4tStfbQaqL2DRr59Fi2AO2fAdnUe8/X6uyOhCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:25.160027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06555","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de0fca1a809e4840457515841bc22395562ff7cdb118b270428d08b7c5359b9b","sha256:f970fc827b8b90c56e204dff603aa16a0dfab21569f3e1d3798a6c1e5530a237"],"state_sha256":"8a73862f9bda3111136f2413ea23632953c2efe4c280f9f261852a7d8799ef5a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ggCaabo23cIX15C75HYZMAG+H3PEFHS4LjMr8JKjFz4/mh5dNsacdNSdD26AP8GEraU6nRmRErPVngZFH6SjBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T04:06:00.101961Z","bundle_sha256":"0e6f8eee717236ff1a3ca85716c4c907ebd91c05902d057b4d74d56d5ba9f40a"}}