{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YNDEVEFJ267LBOMSI4N5ZMIYCL","short_pith_number":"pith:YNDEVEFJ","canonical_record":{"source":{"id":"1309.3459","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-13T14:06:41Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"130e4d7a3794a5c4335b2c3f4c08c35f1328243a03f6b5dd389ccb52e3e6c247","abstract_canon_sha256":"11d9c00984ce4f83bc149b030f1680ac9bdb5b007200b11e24bf42b7cf9a97b5"},"schema_version":"1.0"},"canonical_sha256":"c3464a90a9d7beb0b992471bdcb11812ff41100be8613b643bc47e81cb9d2202","source":{"kind":"arxiv","id":"1309.3459","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.3459","created_at":"2026-05-18T00:26:40Z"},{"alias_kind":"arxiv_version","alias_value":"1309.3459v1","created_at":"2026-05-18T00:26:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3459","created_at":"2026-05-18T00:26:40Z"},{"alias_kind":"pith_short_12","alias_value":"YNDEVEFJ267L","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YNDEVEFJ267LBOMS","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YNDEVEFJ","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YNDEVEFJ267LBOMSI4N5ZMIYCL","target":"record","payload":{"canonical_record":{"source":{"id":"1309.3459","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-13T14:06:41Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"130e4d7a3794a5c4335b2c3f4c08c35f1328243a03f6b5dd389ccb52e3e6c247","abstract_canon_sha256":"11d9c00984ce4f83bc149b030f1680ac9bdb5b007200b11e24bf42b7cf9a97b5"},"schema_version":"1.0"},"canonical_sha256":"c3464a90a9d7beb0b992471bdcb11812ff41100be8613b643bc47e81cb9d2202","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:40.425017Z","signature_b64":"FJrayZpMnw9EIiPxAzonvX0NRWd8v5KgGHj7XRWYFC1TyO5OgKbPTuEwPwGb5xCEBVUyhcUbSnyJ6TD/cOnvDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3464a90a9d7beb0b992471bdcb11812ff41100be8613b643bc47e81cb9d2202","last_reissued_at":"2026-05-18T00:26:40.424447Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:40.424447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.3459","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":"2026-05-18T00:26:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SX3TI7F9KTRfzB55vM5hxQaeRjtaJqwxnmqUf0eah+oPiVAg8UIsocUmW3UVZ88gmrIShJ4/u+dbEVaYz/rFCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:25:06.207719Z"},"content_sha256":"cca9ccd84533e9c59eae3ba83caa89629d595675ad212b7eac803a6d3fc1569c","schema_version":"1.0","event_id":"sha256:cca9ccd84533e9c59eae3ba83caa89629d595675ad212b7eac803a6d3fc1569c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YNDEVEFJ267LBOMSI4N5ZMIYCL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Stochastic Properties of $\\ell^1$-Regularized Spherical Gaussian Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"math.PR","authors_text":"Domenico Marinucci, Valentina Cammarota","submitted_at":"2013-09-13T14:06:41Z","abstract_excerpt":"Convex regularization techniques are now widespread tools for solving inverse problems in a variety of different frameworks. In some cases, the functions to be reconstructed are naturally viewed as realizations from random processes; an important question is thus whether such regularization techniques preserve the properties of the underlying probability measures. We focus here on a case which has produced a very lively debate in the cosmological literature, namely Gaussian and isotropic spherical random fields, and we prove that Gaussianity and isotropy are not conserved in general under conv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3459","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":"2026-05-18T00:26:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dbeaL3cC8T4vZPRkLZx3qwg+aS47h/5xsl/udUtBSXuMOXArs0JSADiDeUDpJRspDVA0Wx2IReMVSz1O7KKMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:25:06.208067Z"},"content_sha256":"e0821f074fc5534042c51c197d4fa6efc516e0d7803766cf2f45faf70653b816","schema_version":"1.0","event_id":"sha256:e0821f074fc5534042c51c197d4fa6efc516e0d7803766cf2f45faf70653b816"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YNDEVEFJ267LBOMSI4N5ZMIYCL/bundle.json","state_url":"https://pith.science/pith/YNDEVEFJ267LBOMSI4N5ZMIYCL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YNDEVEFJ267LBOMSI4N5ZMIYCL/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":"2026-05-28T09:25:06Z","links":{"resolver":"https://pith.science/pith/YNDEVEFJ267LBOMSI4N5ZMIYCL","bundle":"https://pith.science/pith/YNDEVEFJ267LBOMSI4N5ZMIYCL/bundle.json","state":"https://pith.science/pith/YNDEVEFJ267LBOMSI4N5ZMIYCL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YNDEVEFJ267LBOMSI4N5ZMIYCL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YNDEVEFJ267LBOMSI4N5ZMIYCL","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":"11d9c00984ce4f83bc149b030f1680ac9bdb5b007200b11e24bf42b7cf9a97b5","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-13T14:06:41Z","title_canon_sha256":"130e4d7a3794a5c4335b2c3f4c08c35f1328243a03f6b5dd389ccb52e3e6c247"},"schema_version":"1.0","source":{"id":"1309.3459","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.3459","created_at":"2026-05-18T00:26:40Z"},{"alias_kind":"arxiv_version","alias_value":"1309.3459v1","created_at":"2026-05-18T00:26:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3459","created_at":"2026-05-18T00:26:40Z"},{"alias_kind":"pith_short_12","alias_value":"YNDEVEFJ267L","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YNDEVEFJ267LBOMS","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YNDEVEFJ","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:e0821f074fc5534042c51c197d4fa6efc516e0d7803766cf2f45faf70653b816","target":"graph","created_at":"2026-05-18T00:26:40Z","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":"Convex regularization techniques are now widespread tools for solving inverse problems in a variety of different frameworks. In some cases, the functions to be reconstructed are naturally viewed as realizations from random processes; an important question is thus whether such regularization techniques preserve the properties of the underlying probability measures. We focus here on a case which has produced a very lively debate in the cosmological literature, namely Gaussian and isotropic spherical random fields, and we prove that Gaussianity and isotropy are not conserved in general under conv","authors_text":"Domenico Marinucci, Valentina Cammarota","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-13T14:06:41Z","title":"The Stochastic Properties of $\\ell^1$-Regularized Spherical Gaussian Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3459","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:cca9ccd84533e9c59eae3ba83caa89629d595675ad212b7eac803a6d3fc1569c","target":"record","created_at":"2026-05-18T00:26:40Z","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":"11d9c00984ce4f83bc149b030f1680ac9bdb5b007200b11e24bf42b7cf9a97b5","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-13T14:06:41Z","title_canon_sha256":"130e4d7a3794a5c4335b2c3f4c08c35f1328243a03f6b5dd389ccb52e3e6c247"},"schema_version":"1.0","source":{"id":"1309.3459","kind":"arxiv","version":1}},"canonical_sha256":"c3464a90a9d7beb0b992471bdcb11812ff41100be8613b643bc47e81cb9d2202","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3464a90a9d7beb0b992471bdcb11812ff41100be8613b643bc47e81cb9d2202","first_computed_at":"2026-05-18T00:26:40.424447Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:40.424447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FJrayZpMnw9EIiPxAzonvX0NRWd8v5KgGHj7XRWYFC1TyO5OgKbPTuEwPwGb5xCEBVUyhcUbSnyJ6TD/cOnvDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:40.425017Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.3459","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cca9ccd84533e9c59eae3ba83caa89629d595675ad212b7eac803a6d3fc1569c","sha256:e0821f074fc5534042c51c197d4fa6efc516e0d7803766cf2f45faf70653b816"],"state_sha256":"ca8b9d3f2adc886336c20bd5029630193a5bea24ba983f8185a43e3419ce387c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HJc2Tnm+RNSc+hNR3EHSzr2UVmwSZ4Tq3fbaYfSSSwvdU5dxFZNrA/zujTBABL4Buy/iPxXeq5CX7XOxXP4fDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T09:25:06.210084Z","bundle_sha256":"001242b13e2f91eb5e169e126112900d6fdafed5a86ab420eeeb4964edaf8b8b"}}