{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:5HQIJKC6JIPW2ZXSFDHHTXRK5Y","short_pith_number":"pith:5HQIJKC6","canonical_record":{"source":{"id":"1802.08572","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-02-22T14:50:04Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"520ac2398e4dc53e8ae46c18eef29f88aed11bb02d1107c0ed5ee3a9881bb376","abstract_canon_sha256":"e4a6e4c0162abf0a89d763525093c3e3679e82345116df6c627426c6e14c4d14"},"schema_version":"1.0"},"canonical_sha256":"e9e084a85e4a1f6d66f228ce79de2aee14b1a1617918e8c2a2b9510c3b6dd442","source":{"kind":"arxiv","id":"1802.08572","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.08572","created_at":"2026-05-18T00:22:41Z"},{"alias_kind":"arxiv_version","alias_value":"1802.08572v1","created_at":"2026-05-18T00:22:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.08572","created_at":"2026-05-18T00:22:41Z"},{"alias_kind":"pith_short_12","alias_value":"5HQIJKC6JIPW","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5HQIJKC6JIPW2ZXS","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5HQIJKC6","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:5HQIJKC6JIPW2ZXSFDHHTXRK5Y","target":"record","payload":{"canonical_record":{"source":{"id":"1802.08572","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-02-22T14:50:04Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"520ac2398e4dc53e8ae46c18eef29f88aed11bb02d1107c0ed5ee3a9881bb376","abstract_canon_sha256":"e4a6e4c0162abf0a89d763525093c3e3679e82345116df6c627426c6e14c4d14"},"schema_version":"1.0"},"canonical_sha256":"e9e084a85e4a1f6d66f228ce79de2aee14b1a1617918e8c2a2b9510c3b6dd442","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:41.143962Z","signature_b64":"bjaKzXLkASM9pqLoSf+kDCOlfP7KZn9+5xWltrLxZcJOpQhQe74QCQwvDjN31NDv3vlhF2jGxLfarv4D09H9Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9e084a85e4a1f6d66f228ce79de2aee14b1a1617918e8c2a2b9510c3b6dd442","last_reissued_at":"2026-05-18T00:22:41.143311Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:41.143311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.08572","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":"2026-05-18T00:22:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D9dfb7fUQ3IBfMs60ci//EHg/f4FtmPSS4MfAKroL4JL+Ifk2677dzshu5IKvPvGQIv9sCkODmJsKzJrwHytDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:17:25.173923Z"},"content_sha256":"698adf9848afe18cc11800546029bc9690aaa875404d64bac05dfcce9f52e5a5","schema_version":"1.0","event_id":"sha256:698adf9848afe18cc11800546029bc9690aaa875404d64bac05dfcce9f52e5a5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:5HQIJKC6JIPW2ZXSFDHHTXRK5Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bayesian Lasso : Concentration and MCMC Diagnosis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Daoud Ounaissi, Nadji Rahmania","submitted_at":"2018-02-22T14:50:04Z","abstract_excerpt":"Using posterior distribution of Bayesian LASSO we construct a semi-norm on the parameter space. We show that the partition function depends on the ratio of the l 1 and l 2 norms and present three regimes. We derive the con- centration of Bayesian LASSO, and present MCMC convergence diagnosis.\n  Keywords: LASSO, Bayes, MCMC, log-concave, geometry, incomplete Gamma function"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.08572","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":"2026-05-18T00:22:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dCp0d9du0Za3C5b6xRkm44ONqo4bYbNx2Olmov1BD+XD9ng+8Vg61x6rbCOgoOPOHCrRpYSLKudcaEbTk9YeAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:17:25.174259Z"},"content_sha256":"6906fe37983b6bf2f5985bce94fb961c99f02c68385da0e7a67070c3ee94ece4","schema_version":"1.0","event_id":"sha256:6906fe37983b6bf2f5985bce94fb961c99f02c68385da0e7a67070c3ee94ece4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5HQIJKC6JIPW2ZXSFDHHTXRK5Y/bundle.json","state_url":"https://pith.science/pith/5HQIJKC6JIPW2ZXSFDHHTXRK5Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5HQIJKC6JIPW2ZXSFDHHTXRK5Y/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":"2026-06-23T13:17:25Z","links":{"resolver":"https://pith.science/pith/5HQIJKC6JIPW2ZXSFDHHTXRK5Y","bundle":"https://pith.science/pith/5HQIJKC6JIPW2ZXSFDHHTXRK5Y/bundle.json","state":"https://pith.science/pith/5HQIJKC6JIPW2ZXSFDHHTXRK5Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5HQIJKC6JIPW2ZXSFDHHTXRK5Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5HQIJKC6JIPW2ZXSFDHHTXRK5Y","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":"e4a6e4c0162abf0a89d763525093c3e3679e82345116df6c627426c6e14c4d14","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-02-22T14:50:04Z","title_canon_sha256":"520ac2398e4dc53e8ae46c18eef29f88aed11bb02d1107c0ed5ee3a9881bb376"},"schema_version":"1.0","source":{"id":"1802.08572","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.08572","created_at":"2026-05-18T00:22:41Z"},{"alias_kind":"arxiv_version","alias_value":"1802.08572v1","created_at":"2026-05-18T00:22:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.08572","created_at":"2026-05-18T00:22:41Z"},{"alias_kind":"pith_short_12","alias_value":"5HQIJKC6JIPW","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5HQIJKC6JIPW2ZXS","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5HQIJKC6","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:6906fe37983b6bf2f5985bce94fb961c99f02c68385da0e7a67070c3ee94ece4","target":"graph","created_at":"2026-05-18T00:22:41Z","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":"Using posterior distribution of Bayesian LASSO we construct a semi-norm on the parameter space. We show that the partition function depends on the ratio of the l 1 and l 2 norms and present three regimes. We derive the con- centration of Bayesian LASSO, and present MCMC convergence diagnosis.\n  Keywords: LASSO, Bayes, MCMC, log-concave, geometry, incomplete Gamma function","authors_text":"Daoud Ounaissi, Nadji Rahmania","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-02-22T14:50:04Z","title":"Bayesian Lasso : Concentration and MCMC Diagnosis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.08572","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":"sha256:698adf9848afe18cc11800546029bc9690aaa875404d64bac05dfcce9f52e5a5","target":"record","created_at":"2026-05-18T00:22:41Z","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":"e4a6e4c0162abf0a89d763525093c3e3679e82345116df6c627426c6e14c4d14","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-02-22T14:50:04Z","title_canon_sha256":"520ac2398e4dc53e8ae46c18eef29f88aed11bb02d1107c0ed5ee3a9881bb376"},"schema_version":"1.0","source":{"id":"1802.08572","kind":"arxiv","version":1}},"canonical_sha256":"e9e084a85e4a1f6d66f228ce79de2aee14b1a1617918e8c2a2b9510c3b6dd442","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9e084a85e4a1f6d66f228ce79de2aee14b1a1617918e8c2a2b9510c3b6dd442","first_computed_at":"2026-05-18T00:22:41.143311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:41.143311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bjaKzXLkASM9pqLoSf+kDCOlfP7KZn9+5xWltrLxZcJOpQhQe74QCQwvDjN31NDv3vlhF2jGxLfarv4D09H9Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:41.143962Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.08572","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:698adf9848afe18cc11800546029bc9690aaa875404d64bac05dfcce9f52e5a5","sha256:6906fe37983b6bf2f5985bce94fb961c99f02c68385da0e7a67070c3ee94ece4"],"state_sha256":"c409b15c0c506849d65e41fe26462ff38e3f25ab62356483159ceaa7b5828633"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JSipwecP7zGD7PdGGw43wvNBx3v0VotQF74SBZCX+LE5kWmasQz8/jOOZWBlnT1kDf92PV7wlAv5OTNRfEMbCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T13:17:25.176080Z","bundle_sha256":"4da5df344311ad2a75cfa08e271987c0e5d26953c57a4efd037e73c89dd4a25e"}}