{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:UY5O4UL47VHLINIEU2T7VZEWAW","short_pith_number":"pith:UY5O4UL4","canonical_record":{"source":{"id":"2503.06581","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-03-09T12:20:24Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"f0f8c000aa54dc9b48b479bdc00cfee94af30820a40f79a4e8191f5e0bddad73","abstract_canon_sha256":"1f2758913ba0895a70f6a7d4df9e2803fb5f382af85779af628ee16e680036bf"},"schema_version":"1.0"},"canonical_sha256":"a63aee517cfd4eb43504a6a7fae49605a66bbcf08508e111c1c30f98530f0bb0","source":{"kind":"arxiv","id":"2503.06581","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.06581","created_at":"2026-07-05T10:27:37Z"},{"alias_kind":"arxiv_version","alias_value":"2503.06581v1","created_at":"2026-07-05T10:27:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.06581","created_at":"2026-07-05T10:27:37Z"},{"alias_kind":"pith_short_12","alias_value":"UY5O4UL47VHL","created_at":"2026-07-05T10:27:37Z"},{"alias_kind":"pith_short_16","alias_value":"UY5O4UL47VHLINIE","created_at":"2026-07-05T10:27:37Z"},{"alias_kind":"pith_short_8","alias_value":"UY5O4UL4","created_at":"2026-07-05T10:27:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:UY5O4UL47VHLINIEU2T7VZEWAW","target":"record","payload":{"canonical_record":{"source":{"id":"2503.06581","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-03-09T12:20:24Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"f0f8c000aa54dc9b48b479bdc00cfee94af30820a40f79a4e8191f5e0bddad73","abstract_canon_sha256":"1f2758913ba0895a70f6a7d4df9e2803fb5f382af85779af628ee16e680036bf"},"schema_version":"1.0"},"canonical_sha256":"a63aee517cfd4eb43504a6a7fae49605a66bbcf08508e111c1c30f98530f0bb0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:27:37.600594Z","signature_b64":"7XEEUw9msJMFCSMYd4Qq62mw+oN5jYKBvradlJfftniGSddLK0piH1YOlDSG+/HJ3tpwi+gBxQ7XQNmKW13QBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a63aee517cfd4eb43504a6a7fae49605a66bbcf08508e111c1c30f98530f0bb0","last_reissued_at":"2026-07-05T10:27:37.599826Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:27:37.599826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.06581","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":"2026-07-05T10:27:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+o5J6WjlIJCqH1TuwtVQ0KjGFA0Gg7amH2aNZY+MzxWUo8yeDT2vUEHsKlFk1IEpPnYpCLaQ/PQucP/JTM3ADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T16:58:40.231023Z"},"content_sha256":"f7deb1f6e7e7e0214d7405fcf023f65f40e2cecbcee42de123b43d3bd0fbeedc","schema_version":"1.0","event_id":"sha256:f7deb1f6e7e7e0214d7405fcf023f65f40e2cecbcee42de123b43d3bd0fbeedc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:UY5O4UL47VHLINIEU2T7VZEWAW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A quantitative sampling method for elastic and electromagnetic sources","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Qingxiang Shi, XiaoDong Liu","submitted_at":"2025-03-09T12:20:24Z","abstract_excerpt":"This work is dedicated to a novel sampling method for accurately reconstructing elastic and electromagnetic sources from the far field patterns. We show that the proposed indicators in the form of integrals with full far field patterns are exactly the source functions. These facts not only give constructive uniqueness proofs of the inverse source problems, but also establish the theoretical basis of the proposed sampling methods. Furthermore, we derive the stability estimates for the corresponding discrete indicators using the far field patterns with finitely many observations and frequencies."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.06581","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2503.06581/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":"2026-07-05T10:27:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KB4xht//EXP6KFgbZ7dN80be+NL7JXdsNxJkBHnW4Ajsj3jGPaNwXP3IsMAkT4f5dDfCllqqbBqsR31AsLQVBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T16:58:40.231528Z"},"content_sha256":"489f90f08fcbb2159a6c0459a6445f5c5b2b7f019f1b57292d66f8161a0f6c8a","schema_version":"1.0","event_id":"sha256:489f90f08fcbb2159a6c0459a6445f5c5b2b7f019f1b57292d66f8161a0f6c8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UY5O4UL47VHLINIEU2T7VZEWAW/bundle.json","state_url":"https://pith.science/pith/UY5O4UL47VHLINIEU2T7VZEWAW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UY5O4UL47VHLINIEU2T7VZEWAW/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":"2026-08-12T16:58:40Z","links":{"resolver":"https://pith.science/pith/UY5O4UL47VHLINIEU2T7VZEWAW","bundle":"https://pith.science/pith/UY5O4UL47VHLINIEU2T7VZEWAW/bundle.json","state":"https://pith.science/pith/UY5O4UL47VHLINIEU2T7VZEWAW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UY5O4UL47VHLINIEU2T7VZEWAW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UY5O4UL47VHLINIEU2T7VZEWAW","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":"1f2758913ba0895a70f6a7d4df9e2803fb5f382af85779af628ee16e680036bf","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-03-09T12:20:24Z","title_canon_sha256":"f0f8c000aa54dc9b48b479bdc00cfee94af30820a40f79a4e8191f5e0bddad73"},"schema_version":"1.0","source":{"id":"2503.06581","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.06581","created_at":"2026-07-05T10:27:37Z"},{"alias_kind":"arxiv_version","alias_value":"2503.06581v1","created_at":"2026-07-05T10:27:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.06581","created_at":"2026-07-05T10:27:37Z"},{"alias_kind":"pith_short_12","alias_value":"UY5O4UL47VHL","created_at":"2026-07-05T10:27:37Z"},{"alias_kind":"pith_short_16","alias_value":"UY5O4UL47VHLINIE","created_at":"2026-07-05T10:27:37Z"},{"alias_kind":"pith_short_8","alias_value":"UY5O4UL4","created_at":"2026-07-05T10:27:37Z"}],"graph_snapshots":[{"event_id":"sha256:489f90f08fcbb2159a6c0459a6445f5c5b2b7f019f1b57292d66f8161a0f6c8a","target":"graph","created_at":"2026-07-05T10:27:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2503.06581/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work is dedicated to a novel sampling method for accurately reconstructing elastic and electromagnetic sources from the far field patterns. We show that the proposed indicators in the form of integrals with full far field patterns are exactly the source functions. These facts not only give constructive uniqueness proofs of the inverse source problems, but also establish the theoretical basis of the proposed sampling methods. Furthermore, we derive the stability estimates for the corresponding discrete indicators using the far field patterns with finitely many observations and frequencies.","authors_text":"Qingxiang Shi, XiaoDong Liu","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-03-09T12:20:24Z","title":"A quantitative sampling method for elastic and electromagnetic sources"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.06581","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:f7deb1f6e7e7e0214d7405fcf023f65f40e2cecbcee42de123b43d3bd0fbeedc","target":"record","created_at":"2026-07-05T10:27:37Z","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":"1f2758913ba0895a70f6a7d4df9e2803fb5f382af85779af628ee16e680036bf","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-03-09T12:20:24Z","title_canon_sha256":"f0f8c000aa54dc9b48b479bdc00cfee94af30820a40f79a4e8191f5e0bddad73"},"schema_version":"1.0","source":{"id":"2503.06581","kind":"arxiv","version":1}},"canonical_sha256":"a63aee517cfd4eb43504a6a7fae49605a66bbcf08508e111c1c30f98530f0bb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a63aee517cfd4eb43504a6a7fae49605a66bbcf08508e111c1c30f98530f0bb0","first_computed_at":"2026-07-05T10:27:37.599826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:27:37.599826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7XEEUw9msJMFCSMYd4Qq62mw+oN5jYKBvradlJfftniGSddLK0piH1YOlDSG+/HJ3tpwi+gBxQ7XQNmKW13QBg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:27:37.600594Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.06581","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7deb1f6e7e7e0214d7405fcf023f65f40e2cecbcee42de123b43d3bd0fbeedc","sha256:489f90f08fcbb2159a6c0459a6445f5c5b2b7f019f1b57292d66f8161a0f6c8a"],"state_sha256":"9600d9c435f34ee72088726462f47caec0bcb52d07ce05a85cc9f4818f859ec3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/NVSXXKJxD7xyQsT16yxraeNz+erewWEFyRoSEs7z+Fv7m6uqjYXc56MLMjA3HHWoG/qqSQp4y/rai+n7OueDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T16:58:40.236308Z","bundle_sha256":"05fd8dc6b1e2fe2006c07887d2ab8e25550e8542e82df643728a8c87471af2c9"}}