{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:BKOWRAJFN74AFG4AXARHTE7TXB","short_pith_number":"pith:BKOWRAJF","canonical_record":{"source":{"id":"1110.3270","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-14T17:16:00Z","cross_cats_sorted":[],"title_canon_sha256":"7661c6fa361f1f2996bf8ffdad96585d6cf0523918f544e30dccea7f1a431c3a","abstract_canon_sha256":"8a41a830bb26fcff94b35cb3365e5e027b48108dc77364924cd4cca7b6974e24"},"schema_version":"1.0"},"canonical_sha256":"0a9d6881256ff8029b80b8227993f3b85cdd4c2aa9e4cdfd3e447b21302d0b38","source":{"kind":"arxiv","id":"1110.3270","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3270","created_at":"2026-05-18T04:10:57Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3270v1","created_at":"2026-05-18T04:10:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3270","created_at":"2026-05-18T04:10:57Z"},{"alias_kind":"pith_short_12","alias_value":"BKOWRAJFN74A","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BKOWRAJFN74AFG4A","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BKOWRAJF","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:BKOWRAJFN74AFG4AXARHTE7TXB","target":"record","payload":{"canonical_record":{"source":{"id":"1110.3270","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-14T17:16:00Z","cross_cats_sorted":[],"title_canon_sha256":"7661c6fa361f1f2996bf8ffdad96585d6cf0523918f544e30dccea7f1a431c3a","abstract_canon_sha256":"8a41a830bb26fcff94b35cb3365e5e027b48108dc77364924cd4cca7b6974e24"},"schema_version":"1.0"},"canonical_sha256":"0a9d6881256ff8029b80b8227993f3b85cdd4c2aa9e4cdfd3e447b21302d0b38","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:57.640302Z","signature_b64":"dyzob2NSB2Liva4qFZ+6GVlWmvA1pFNj8yBamHdUD2L1UmAJeJ1qE0SkZmuaDKXRme/I4idsft4aCUcKYvH5AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a9d6881256ff8029b80b8227993f3b85cdd4c2aa9e4cdfd3e447b21302d0b38","last_reissued_at":"2026-05-18T04:10:57.639837Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:57.639837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.3270","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":"2026-05-18T04:10:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f54nhtyPPY0Nid5xiiaVSiVmxkbDAAf0vzmP5eEHW8QJgiQV3X574RaT2Z63kMggY3GQaL25ztLCWjtHh+esDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T14:22:30.502579Z"},"content_sha256":"1bab9e5258459571445ea6ba03bd9df6e1c2683a9290fc45c59811c015190b2d","schema_version":"1.0","event_id":"sha256:1bab9e5258459571445ea6ba03bd9df6e1c2683a9290fc45c59811c015190b2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:BKOWRAJFN74AFG4AXARHTE7TXB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inverse transport with isotropic time-harmonic sources","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Francois Monard, Guillaume Bal","submitted_at":"2011-10-14T17:16:00Z","abstract_excerpt":"This paper concerns the reconstruction of the scattering coefficient in a two-dimensional transport equation from angularly averaged measurements when the probing source is isotropic and time-harmonic. This is a practical setting in the medical imaging modality called Optical Tomography. As the modulation frequency of the source increases, we show that the reconstruction of the scattering coefficient improves. More precisely, as the frequency $\\omega$ increases, we show that all frequencies of the scattering coefficient lower than $b$ are reconstructed stably with an accuracy that improves as "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3270","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":"2026-05-18T04:10:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8m9r9Dbp1Hq3Fnq7zOcVoV/bQKXdyQU1m+ke5jfvw3CUMY4BOneKKR5XwNnxKNl4+21OOfQAlaH3V0Fkr57+Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T14:22:30.503256Z"},"content_sha256":"76c8571049256336bd9bb680cf599ac992d928008bf23ac69c471bb398eab9aa","schema_version":"1.0","event_id":"sha256:76c8571049256336bd9bb680cf599ac992d928008bf23ac69c471bb398eab9aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BKOWRAJFN74AFG4AXARHTE7TXB/bundle.json","state_url":"https://pith.science/pith/BKOWRAJFN74AFG4AXARHTE7TXB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BKOWRAJFN74AFG4AXARHTE7TXB/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":"2026-05-31T14:22:30Z","links":{"resolver":"https://pith.science/pith/BKOWRAJFN74AFG4AXARHTE7TXB","bundle":"https://pith.science/pith/BKOWRAJFN74AFG4AXARHTE7TXB/bundle.json","state":"https://pith.science/pith/BKOWRAJFN74AFG4AXARHTE7TXB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BKOWRAJFN74AFG4AXARHTE7TXB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BKOWRAJFN74AFG4AXARHTE7TXB","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":"8a41a830bb26fcff94b35cb3365e5e027b48108dc77364924cd4cca7b6974e24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-14T17:16:00Z","title_canon_sha256":"7661c6fa361f1f2996bf8ffdad96585d6cf0523918f544e30dccea7f1a431c3a"},"schema_version":"1.0","source":{"id":"1110.3270","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3270","created_at":"2026-05-18T04:10:57Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3270v1","created_at":"2026-05-18T04:10:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3270","created_at":"2026-05-18T04:10:57Z"},{"alias_kind":"pith_short_12","alias_value":"BKOWRAJFN74A","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BKOWRAJFN74AFG4A","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BKOWRAJF","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:76c8571049256336bd9bb680cf599ac992d928008bf23ac69c471bb398eab9aa","target":"graph","created_at":"2026-05-18T04:10:57Z","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":"This paper concerns the reconstruction of the scattering coefficient in a two-dimensional transport equation from angularly averaged measurements when the probing source is isotropic and time-harmonic. This is a practical setting in the medical imaging modality called Optical Tomography. As the modulation frequency of the source increases, we show that the reconstruction of the scattering coefficient improves. More precisely, as the frequency $\\omega$ increases, we show that all frequencies of the scattering coefficient lower than $b$ are reconstructed stably with an accuracy that improves as ","authors_text":"Francois Monard, Guillaume Bal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-14T17:16:00Z","title":"Inverse transport with isotropic time-harmonic sources"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3270","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":"sha256:1bab9e5258459571445ea6ba03bd9df6e1c2683a9290fc45c59811c015190b2d","target":"record","created_at":"2026-05-18T04:10:57Z","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":"8a41a830bb26fcff94b35cb3365e5e027b48108dc77364924cd4cca7b6974e24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-14T17:16:00Z","title_canon_sha256":"7661c6fa361f1f2996bf8ffdad96585d6cf0523918f544e30dccea7f1a431c3a"},"schema_version":"1.0","source":{"id":"1110.3270","kind":"arxiv","version":1}},"canonical_sha256":"0a9d6881256ff8029b80b8227993f3b85cdd4c2aa9e4cdfd3e447b21302d0b38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a9d6881256ff8029b80b8227993f3b85cdd4c2aa9e4cdfd3e447b21302d0b38","first_computed_at":"2026-05-18T04:10:57.639837Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:57.639837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dyzob2NSB2Liva4qFZ+6GVlWmvA1pFNj8yBamHdUD2L1UmAJeJ1qE0SkZmuaDKXRme/I4idsft4aCUcKYvH5AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:57.640302Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.3270","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bab9e5258459571445ea6ba03bd9df6e1c2683a9290fc45c59811c015190b2d","sha256:76c8571049256336bd9bb680cf599ac992d928008bf23ac69c471bb398eab9aa"],"state_sha256":"0527a00ec37e36a1423b807667ed6deb3eb4861da7766627b9f7ed20954291fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aJUM722ToFD6y1gOrL1pLqtDP0t7K3xtQ3yOVDNXH/gVBGZoigsYS75SdHVaZE6jR8BanGfOXj640D1yH9yKBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T14:22:30.507788Z","bundle_sha256":"c109c12ca628f09339ebb0311c46e209dc40ec28f8e1896b4eb5bb957fa68069"}}