{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:4RCCPUYZNLF6VHNVWMFDEEYOP7","short_pith_number":"pith:4RCCPUYZ","canonical_record":{"source":{"id":"2303.13429","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2023-03-23T16:50:08Z","cross_cats_sorted":["math.PR","stat.ML"],"title_canon_sha256":"d49c5cf188d02dc5f369f2daecdd0e696696ae0fa75f1a4f753a0fd1422717b1","abstract_canon_sha256":"e1a84edcb90b2d597e214e6e60e88c98dc8ea4e6fe0ee9c0e4d4562c5047af11"},"schema_version":"1.0"},"canonical_sha256":"e44427d3196acbea9db5b30a32130e7fc9cc8412b36557af09aae838a1e10852","source":{"kind":"arxiv","id":"2303.13429","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.13429","created_at":"2026-07-05T10:23:50Z"},{"alias_kind":"arxiv_version","alias_value":"2303.13429v3","created_at":"2026-07-05T10:23:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.13429","created_at":"2026-07-05T10:23:50Z"},{"alias_kind":"pith_short_12","alias_value":"4RCCPUYZNLF6","created_at":"2026-07-05T10:23:50Z"},{"alias_kind":"pith_short_16","alias_value":"4RCCPUYZNLF6VHNV","created_at":"2026-07-05T10:23:50Z"},{"alias_kind":"pith_short_8","alias_value":"4RCCPUYZ","created_at":"2026-07-05T10:23:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:4RCCPUYZNLF6VHNVWMFDEEYOP7","target":"record","payload":{"canonical_record":{"source":{"id":"2303.13429","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2023-03-23T16:50:08Z","cross_cats_sorted":["math.PR","stat.ML"],"title_canon_sha256":"d49c5cf188d02dc5f369f2daecdd0e696696ae0fa75f1a4f753a0fd1422717b1","abstract_canon_sha256":"e1a84edcb90b2d597e214e6e60e88c98dc8ea4e6fe0ee9c0e4d4562c5047af11"},"schema_version":"1.0"},"canonical_sha256":"e44427d3196acbea9db5b30a32130e7fc9cc8412b36557af09aae838a1e10852","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:23:50.246886Z","signature_b64":"MjHziOUnep/LhyzDNAfiHTqAfJ0GltAvMaJB2/MoRALRYgcmXIN5JDpxrP+3ihayG4IRMFn8sdC8oP+IP/V0Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e44427d3196acbea9db5b30a32130e7fc9cc8412b36557af09aae838a1e10852","last_reissued_at":"2026-07-05T10:23:50.246334Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:23:50.246334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.13429","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:23:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+3U0JRxMf7qQTVkN//a4Cspepti6wI6Vi4Mhd5NRYu1/FMCyM5+8vMAoScaobDLb3UCxsmU/Fgz4yfpw4FdGAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-14T09:19:57.227966Z"},"content_sha256":"4f5e129e4dab9de048a742730ef708a16907599ecbf790ef4640aad78d3606fc","schema_version":"1.0","event_id":"sha256:4f5e129e4dab9de048a742730ef708a16907599ecbf790ef4640aad78d3606fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:4RCCPUYZNLF6VHNVWMFDEEYOP7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interacting Particle Langevin Algorithm for Maximum Marginal Likelihood Estimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.ML"],"primary_cat":"stat.CO","authors_text":"Francesca Romana Crucinio, Mark Girolami, \\\"O. Deniz Akyildiz, Sotirios Sabanis, Tim Johnston","submitted_at":"2023-03-23T16:50:08Z","abstract_excerpt":"We develop a class of interacting particle systems for implementing a maximum marginal likelihood estimation (MMLE) procedure to estimate the parameters of a latent variable model. We achieve this by formulating a continuous-time interacting particle system which can be seen as a Langevin diffusion over an extended state space of parameters and latent variables. In particular, we prove that the parameter marginal of the stationary measure of this diffusion has the form of a Gibbs measure where number of particles acts as the inverse temperature parameter in classical settings for global optimi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.13429","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2303.13429/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T10:23:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WCm9v+P8XgqaO+/S/Gz2+gKTKmKeYXTmfkvzfIDgYvDA/dVEcyNXTPQ1YjTi+r+DSAPGL8ygbNEmQwZNbL3IAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-14T09:19:57.228355Z"},"content_sha256":"bbafa84ccbdcdfdf35d3217a656dcbc29144f53afe1827e42dd1484b147ff8d7","schema_version":"1.0","event_id":"sha256:bbafa84ccbdcdfdf35d3217a656dcbc29144f53afe1827e42dd1484b147ff8d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4RCCPUYZNLF6VHNVWMFDEEYOP7/bundle.json","state_url":"https://pith.science/pith/4RCCPUYZNLF6VHNVWMFDEEYOP7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4RCCPUYZNLF6VHNVWMFDEEYOP7/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":"2026-07-14T09:19:57Z","links":{"resolver":"https://pith.science/pith/4RCCPUYZNLF6VHNVWMFDEEYOP7","bundle":"https://pith.science/pith/4RCCPUYZNLF6VHNVWMFDEEYOP7/bundle.json","state":"https://pith.science/pith/4RCCPUYZNLF6VHNVWMFDEEYOP7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4RCCPUYZNLF6VHNVWMFDEEYOP7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:4RCCPUYZNLF6VHNVWMFDEEYOP7","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":"e1a84edcb90b2d597e214e6e60e88c98dc8ea4e6fe0ee9c0e4d4562c5047af11","cross_cats_sorted":["math.PR","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2023-03-23T16:50:08Z","title_canon_sha256":"d49c5cf188d02dc5f369f2daecdd0e696696ae0fa75f1a4f753a0fd1422717b1"},"schema_version":"1.0","source":{"id":"2303.13429","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.13429","created_at":"2026-07-05T10:23:50Z"},{"alias_kind":"arxiv_version","alias_value":"2303.13429v3","created_at":"2026-07-05T10:23:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.13429","created_at":"2026-07-05T10:23:50Z"},{"alias_kind":"pith_short_12","alias_value":"4RCCPUYZNLF6","created_at":"2026-07-05T10:23:50Z"},{"alias_kind":"pith_short_16","alias_value":"4RCCPUYZNLF6VHNV","created_at":"2026-07-05T10:23:50Z"},{"alias_kind":"pith_short_8","alias_value":"4RCCPUYZ","created_at":"2026-07-05T10:23:50Z"}],"graph_snapshots":[{"event_id":"sha256:bbafa84ccbdcdfdf35d3217a656dcbc29144f53afe1827e42dd1484b147ff8d7","target":"graph","created_at":"2026-07-05T10:23:50Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2303.13429/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a class of interacting particle systems for implementing a maximum marginal likelihood estimation (MMLE) procedure to estimate the parameters of a latent variable model. We achieve this by formulating a continuous-time interacting particle system which can be seen as a Langevin diffusion over an extended state space of parameters and latent variables. In particular, we prove that the parameter marginal of the stationary measure of this diffusion has the form of a Gibbs measure where number of particles acts as the inverse temperature parameter in classical settings for global optimi","authors_text":"Francesca Romana Crucinio, Mark Girolami, \\\"O. Deniz Akyildiz, Sotirios Sabanis, Tim Johnston","cross_cats":["math.PR","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2023-03-23T16:50:08Z","title":"Interacting Particle Langevin Algorithm for Maximum Marginal Likelihood Estimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.13429","kind":"arxiv","version":3},"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":"sha256:4f5e129e4dab9de048a742730ef708a16907599ecbf790ef4640aad78d3606fc","target":"record","created_at":"2026-07-05T10:23:50Z","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":"e1a84edcb90b2d597e214e6e60e88c98dc8ea4e6fe0ee9c0e4d4562c5047af11","cross_cats_sorted":["math.PR","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2023-03-23T16:50:08Z","title_canon_sha256":"d49c5cf188d02dc5f369f2daecdd0e696696ae0fa75f1a4f753a0fd1422717b1"},"schema_version":"1.0","source":{"id":"2303.13429","kind":"arxiv","version":3}},"canonical_sha256":"e44427d3196acbea9db5b30a32130e7fc9cc8412b36557af09aae838a1e10852","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e44427d3196acbea9db5b30a32130e7fc9cc8412b36557af09aae838a1e10852","first_computed_at":"2026-07-05T10:23:50.246334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:23:50.246334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MjHziOUnep/LhyzDNAfiHTqAfJ0GltAvMaJB2/MoRALRYgcmXIN5JDpxrP+3ihayG4IRMFn8sdC8oP+IP/V0Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T10:23:50.246886Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.13429","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f5e129e4dab9de048a742730ef708a16907599ecbf790ef4640aad78d3606fc","sha256:bbafa84ccbdcdfdf35d3217a656dcbc29144f53afe1827e42dd1484b147ff8d7"],"state_sha256":"3853745f61c4c8c9d81a089f05b4d403fa9b2c3dc21f59c3800c3af2ba4291a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6RObPjnfKelWoYAyIvCXrGDzEX/+IrChHg9TE5aH4OQHJrJcdnOXruJqXB6kzZknr5+1owY8EfG/8mimTwCHAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-14T09:19:57.231943Z","bundle_sha256":"0d00e1fa7646f0dce9b73a109541603cfed4e6118b730ab6b77ec866e6c65ce6"}}