{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EEIMAZLHO4CKUPT357GL2CIO3X","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":"cd1869fe955b4d678f2a7b8f0aa13cac30a86872f00117dfa92d868da9e347e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-25T18:56:03Z","title_canon_sha256":"46ffa4ff31a097a75495b675cf63ac3bc573f1a33a81af332c50923506453d68"},"schema_version":"1.0","source":{"id":"1302.6193","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.6193","created_at":"2026-05-18T03:21:10Z"},{"alias_kind":"arxiv_version","alias_value":"1302.6193v2","created_at":"2026-05-18T03:21:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6193","created_at":"2026-05-18T03:21:10Z"},{"alias_kind":"pith_short_12","alias_value":"EEIMAZLHO4CK","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EEIMAZLHO4CKUPT3","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EEIMAZLH","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:0a5cf9a193bdec3b4362d1e3904bb7b8b63a30e7bcab547dc3634fd5df7ed1ca","target":"graph","created_at":"2026-05-18T03:21:10Z","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 a particular broken ray transform on the Euclidean unit square and establish injectivity and stability for $C_{0}^{2}$ perturbations of the constant unit weight. Given an open subset $E$ of the boundary, we measure the attenuation of all broken rays starting and ending at $E$ with the standard optical reflection rule. Using the analytic microlocal approach of Frigyik, Stefanov, and Uhlmann for the X-ray transform on generic families of curves, we show injectivity via a path unfolding argument under suitable conditions on the available broken rays. Then we show that with a suitable dec","authors_text":"Mark Hubenthal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-25T18:56:03Z","title":"The Broken Ray Transform On The Square"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6193","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:eedb3d7921b7498d1580640012e73c19ece4e184763c38539409b1f7ef5d6a74","target":"record","created_at":"2026-05-18T03:21:10Z","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":"cd1869fe955b4d678f2a7b8f0aa13cac30a86872f00117dfa92d868da9e347e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-25T18:56:03Z","title_canon_sha256":"46ffa4ff31a097a75495b675cf63ac3bc573f1a33a81af332c50923506453d68"},"schema_version":"1.0","source":{"id":"1302.6193","kind":"arxiv","version":2}},"canonical_sha256":"2110c065677704aa3e7befccbd090eddda474075641612a694a3dcc93d82fd8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2110c065677704aa3e7befccbd090eddda474075641612a694a3dcc93d82fd8c","first_computed_at":"2026-05-18T03:21:10.176996Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:10.176996Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A3i7B3O37THxPKBr6sckfNEpNcdmdpq+Sf5a+ILP9tjVdB1oA97Y5Mq7cbjGcIozO2311/NDybWy94vSbNtfCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:10.177806Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.6193","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eedb3d7921b7498d1580640012e73c19ece4e184763c38539409b1f7ef5d6a74","sha256:0a5cf9a193bdec3b4362d1e3904bb7b8b63a30e7bcab547dc3634fd5df7ed1ca"],"state_sha256":"b692a88de9e0b3736b31fe3d3c7cda5fe76186e670d3359c12792f16a7b46768"}