{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YUTAYDFE75NHZMKLMRBW672QCV","short_pith_number":"pith:YUTAYDFE","canonical_record":{"source":{"id":"1309.0985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2013-09-04T11:40:19Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"7a8e48805d62caff0a61cecfcec5025514ddbbbdb1bb979e7c1a09f2b39e43f0","abstract_canon_sha256":"92f5e8cfc241073dbd77dd75ab6d2ca159552f43dc65d18a2ceba59ee6adc63a"},"schema_version":"1.0"},"canonical_sha256":"c5260c0ca4ff5a7cb14b64436f7f50157f17851db6270840eb66d1991dc41561","source":{"kind":"arxiv","id":"1309.0985","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0985","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0985v1","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0985","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"pith_short_12","alias_value":"YUTAYDFE75NH","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YUTAYDFE75NHZMKL","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YUTAYDFE","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YUTAYDFE75NHZMKLMRBW672QCV","target":"record","payload":{"canonical_record":{"source":{"id":"1309.0985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2013-09-04T11:40:19Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"7a8e48805d62caff0a61cecfcec5025514ddbbbdb1bb979e7c1a09f2b39e43f0","abstract_canon_sha256":"92f5e8cfc241073dbd77dd75ab6d2ca159552f43dc65d18a2ceba59ee6adc63a"},"schema_version":"1.0"},"canonical_sha256":"c5260c0ca4ff5a7cb14b64436f7f50157f17851db6270840eb66d1991dc41561","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:09.409054Z","signature_b64":"UIQpZJ9jYFIkXGSFVYnfSlH4HVW+QUw0ByJeR8FtzqosolVcCZOHIHDZqAyYPzmnDe+PW8aWTj+04aU5cRbwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5260c0ca4ff5a7cb14b64436f7f50157f17851db6270840eb66d1991dc41561","last_reissued_at":"2026-05-18T03:14:09.408444Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:09.408444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.0985","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":"2026-05-18T03:14:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FHtVcQteX3WzjHOHgjoVpQtdIUDtFiUV/EQyfWfmayMKslrqCQE7TCG0GrJO8dD64QjcoBcx4e1gGTyIn5jRAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:45:45.820519Z"},"content_sha256":"3ee3f47bbd319f61083762d80464d9a7be131a81f3c37f884254cd1b18153bcd","schema_version":"1.0","event_id":"sha256:3ee3f47bbd319f61083762d80464d9a7be131a81f3c37f884254cd1b18153bcd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YUTAYDFE75NHZMKLMRBW672QCV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient binary tomographic reconstruction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV"],"primary_cat":"physics.class-ph","authors_text":"Fran\\c{c}ois Hild (LMT), Hugo Leclerc (LMT), Stephane Roux (LMT)","submitted_at":"2013-09-04T11:40:19Z","abstract_excerpt":"Tomographic reconstruction of a binary image from few projections is considered. A novel {\\em heuristic} algorithm is proposed, the central element of which is a nonlinear transformation $\\psi(p)=\\log(p/(1-p))$ of the probability $p$ that a pixel of the sought image be 1-valued. It consists of backprojections based on $\\psi(p)$ and iterative corrections. Application of this algorithm to a series of artificial test cases leads to exact binary reconstructions, (i.e recovery of the binary image for each single pixel) from the knowledge of projection data over a few directions. Images up to $10^6$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0985","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":"2026-05-18T03:14:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jWKcHLcS4x59NcN5pT9XWlqI8oOjjuOsiS2mFX0XtFTBrh8GQ4IL9zbM7W8bjdRWG3ISSqz5pSd5hsYHLFVTBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:45:45.821080Z"},"content_sha256":"57f043244957993ed70e82866235022e0278253300a3705204137484f232efb7","schema_version":"1.0","event_id":"sha256:57f043244957993ed70e82866235022e0278253300a3705204137484f232efb7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YUTAYDFE75NHZMKLMRBW672QCV/bundle.json","state_url":"https://pith.science/pith/YUTAYDFE75NHZMKLMRBW672QCV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YUTAYDFE75NHZMKLMRBW672QCV/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":"2026-06-12T09:45:45Z","links":{"resolver":"https://pith.science/pith/YUTAYDFE75NHZMKLMRBW672QCV","bundle":"https://pith.science/pith/YUTAYDFE75NHZMKLMRBW672QCV/bundle.json","state":"https://pith.science/pith/YUTAYDFE75NHZMKLMRBW672QCV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YUTAYDFE75NHZMKLMRBW672QCV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YUTAYDFE75NHZMKLMRBW672QCV","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":"92f5e8cfc241073dbd77dd75ab6d2ca159552f43dc65d18a2ceba59ee6adc63a","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2013-09-04T11:40:19Z","title_canon_sha256":"7a8e48805d62caff0a61cecfcec5025514ddbbbdb1bb979e7c1a09f2b39e43f0"},"schema_version":"1.0","source":{"id":"1309.0985","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0985","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0985v1","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0985","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"pith_short_12","alias_value":"YUTAYDFE75NH","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YUTAYDFE75NHZMKL","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YUTAYDFE","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:57f043244957993ed70e82866235022e0278253300a3705204137484f232efb7","target":"graph","created_at":"2026-05-18T03:14:09Z","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":"Tomographic reconstruction of a binary image from few projections is considered. A novel {\\em heuristic} algorithm is proposed, the central element of which is a nonlinear transformation $\\psi(p)=\\log(p/(1-p))$ of the probability $p$ that a pixel of the sought image be 1-valued. It consists of backprojections based on $\\psi(p)$ and iterative corrections. Application of this algorithm to a series of artificial test cases leads to exact binary reconstructions, (i.e recovery of the binary image for each single pixel) from the knowledge of projection data over a few directions. Images up to $10^6$","authors_text":"Fran\\c{c}ois Hild (LMT), Hugo Leclerc (LMT), Stephane Roux (LMT)","cross_cats":["cs.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2013-09-04T11:40:19Z","title":"Efficient binary tomographic reconstruction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0985","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":"sha256:3ee3f47bbd319f61083762d80464d9a7be131a81f3c37f884254cd1b18153bcd","target":"record","created_at":"2026-05-18T03:14:09Z","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":"92f5e8cfc241073dbd77dd75ab6d2ca159552f43dc65d18a2ceba59ee6adc63a","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2013-09-04T11:40:19Z","title_canon_sha256":"7a8e48805d62caff0a61cecfcec5025514ddbbbdb1bb979e7c1a09f2b39e43f0"},"schema_version":"1.0","source":{"id":"1309.0985","kind":"arxiv","version":1}},"canonical_sha256":"c5260c0ca4ff5a7cb14b64436f7f50157f17851db6270840eb66d1991dc41561","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5260c0ca4ff5a7cb14b64436f7f50157f17851db6270840eb66d1991dc41561","first_computed_at":"2026-05-18T03:14:09.408444Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:09.408444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UIQpZJ9jYFIkXGSFVYnfSlH4HVW+QUw0ByJeR8FtzqosolVcCZOHIHDZqAyYPzmnDe+PW8aWTj+04aU5cRbwCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:09.409054Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.0985","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ee3f47bbd319f61083762d80464d9a7be131a81f3c37f884254cd1b18153bcd","sha256:57f043244957993ed70e82866235022e0278253300a3705204137484f232efb7"],"state_sha256":"5346b1949f367cba8b1ebf5669d2478c16a8532cacf88a90c32f3eaef6491bb4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"82NhFbLTDkDema7iNPwb4vSvxz5jlKbgXgl2lCE0f6QLzvqFJZuTTC0Dfa2yI8tysNjGeKv5KS4GZt9/TYLmBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T09:45:45.824380Z","bundle_sha256":"f8b572aa2d7813de369638bf2ffb07b48d03cdee3180c5293a5635638ed3da24"}}