{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:OMZJBZCUD6HRDQF46DTMCEL4ZG","short_pith_number":"pith:OMZJBZCU","canonical_record":{"source":{"id":"2407.20444","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-07-29T22:49:59Z","cross_cats_sorted":["cs.LG","math.PR"],"title_canon_sha256":"85fe6f4a6e0182d1f214e696880f74e914c731b7460b7642194b627635d99d85","abstract_canon_sha256":"a449daae0c278c94b68fda4700d8a971bbd4b2ee32c6815aae1f3235d6cf5bdf"},"schema_version":"1.0"},"canonical_sha256":"733290e4541f8f11c0bcf0e6c1117cc9a5a19c590affc0257ad8b7587f91e170","source":{"kind":"arxiv","id":"2407.20444","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.20444","created_at":"2026-07-05T11:52:56Z"},{"alias_kind":"arxiv_version","alias_value":"2407.20444v3","created_at":"2026-07-05T11:52:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.20444","created_at":"2026-07-05T11:52:56Z"},{"alias_kind":"pith_short_12","alias_value":"OMZJBZCUD6HR","created_at":"2026-07-05T11:52:56Z"},{"alias_kind":"pith_short_16","alias_value":"OMZJBZCUD6HRDQF4","created_at":"2026-07-05T11:52:56Z"},{"alias_kind":"pith_short_8","alias_value":"OMZJBZCU","created_at":"2026-07-05T11:52:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:OMZJBZCUD6HRDQF46DTMCEL4ZG","target":"record","payload":{"canonical_record":{"source":{"id":"2407.20444","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-07-29T22:49:59Z","cross_cats_sorted":["cs.LG","math.PR"],"title_canon_sha256":"85fe6f4a6e0182d1f214e696880f74e914c731b7460b7642194b627635d99d85","abstract_canon_sha256":"a449daae0c278c94b68fda4700d8a971bbd4b2ee32c6815aae1f3235d6cf5bdf"},"schema_version":"1.0"},"canonical_sha256":"733290e4541f8f11c0bcf0e6c1117cc9a5a19c590affc0257ad8b7587f91e170","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:52:56.202448Z","signature_b64":"JJTYPI2PHQHdgaEk30TS8n7ewIW21MhqKsxMWhh4o+wJdbXV/py89mSyCMgCy/4T0jAz1aYYnKY7TDT0/MK/DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"733290e4541f8f11c0bcf0e6c1117cc9a5a19c590affc0257ad8b7587f91e170","last_reissued_at":"2026-07-05T11:52:56.202023Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:52:56.202023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.20444","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":"2026-07-05T11:52:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ot6bdTGSuhqpaGREeC4ArxI93K7tnaysbZytRgFi/Gv9EWYK48N2D3oPCToMN/BaHAm6akoxnUM+7au6fmejDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T06:35:42.800847Z"},"content_sha256":"c9cc3ed96c01d92dccbc54de661794febedac2c5cc4f59075c654875f9d986ed","schema_version":"1.0","event_id":"sha256:c9cc3ed96c01d92dccbc54de661794febedac2c5cc4f59075c654875f9d986ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:OMZJBZCUD6HRDQF46DTMCEL4ZG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Importance Corrected Neural JKO Sampling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math.PR"],"primary_cat":"stat.ML","authors_text":"Johannes Hertrich, Robert Gruhlke","submitted_at":"2024-07-29T22:49:59Z","abstract_excerpt":"In order to sample from an unnormalized probability density function, we propose to combine continuous normalizing flows (CNFs) with rejection-resampling steps based on importance weights. We relate the iterative training of CNFs with regularized velocity fields to a JKO scheme and prove convergence of the involved velocity fields to the velocity field of the Wasserstein gradient flow (WGF). The alternation of local flow steps and non-local rejection-resampling steps allows to overcome local minima or slow convergence of the WGF for multimodal distributions. Since the proposal of the rejection"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.20444","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/2407.20444/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":"2026-07-05T11:52:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZELgdOhU4mSpK69AqxzMeWnINeAz2fTVDfWlvwZH3YGogQukNiO5fEwwxmPum5kIjOYULFCR8jrA7itmjoUKDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T06:35:42.801225Z"},"content_sha256":"ac2b6d80378907e8fb82b47049da13767c295230722a33af30fd7894ab185869","schema_version":"1.0","event_id":"sha256:ac2b6d80378907e8fb82b47049da13767c295230722a33af30fd7894ab185869"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OMZJBZCUD6HRDQF46DTMCEL4ZG/bundle.json","state_url":"https://pith.science/pith/OMZJBZCUD6HRDQF46DTMCEL4ZG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OMZJBZCUD6HRDQF46DTMCEL4ZG/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":"2026-07-07T06:35:42Z","links":{"resolver":"https://pith.science/pith/OMZJBZCUD6HRDQF46DTMCEL4ZG","bundle":"https://pith.science/pith/OMZJBZCUD6HRDQF46DTMCEL4ZG/bundle.json","state":"https://pith.science/pith/OMZJBZCUD6HRDQF46DTMCEL4ZG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OMZJBZCUD6HRDQF46DTMCEL4ZG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OMZJBZCUD6HRDQF46DTMCEL4ZG","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":"a449daae0c278c94b68fda4700d8a971bbd4b2ee32c6815aae1f3235d6cf5bdf","cross_cats_sorted":["cs.LG","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-07-29T22:49:59Z","title_canon_sha256":"85fe6f4a6e0182d1f214e696880f74e914c731b7460b7642194b627635d99d85"},"schema_version":"1.0","source":{"id":"2407.20444","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.20444","created_at":"2026-07-05T11:52:56Z"},{"alias_kind":"arxiv_version","alias_value":"2407.20444v3","created_at":"2026-07-05T11:52:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.20444","created_at":"2026-07-05T11:52:56Z"},{"alias_kind":"pith_short_12","alias_value":"OMZJBZCUD6HR","created_at":"2026-07-05T11:52:56Z"},{"alias_kind":"pith_short_16","alias_value":"OMZJBZCUD6HRDQF4","created_at":"2026-07-05T11:52:56Z"},{"alias_kind":"pith_short_8","alias_value":"OMZJBZCU","created_at":"2026-07-05T11:52:56Z"}],"graph_snapshots":[{"event_id":"sha256:ac2b6d80378907e8fb82b47049da13767c295230722a33af30fd7894ab185869","target":"graph","created_at":"2026-07-05T11:52:56Z","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/2407.20444/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In order to sample from an unnormalized probability density function, we propose to combine continuous normalizing flows (CNFs) with rejection-resampling steps based on importance weights. We relate the iterative training of CNFs with regularized velocity fields to a JKO scheme and prove convergence of the involved velocity fields to the velocity field of the Wasserstein gradient flow (WGF). The alternation of local flow steps and non-local rejection-resampling steps allows to overcome local minima or slow convergence of the WGF for multimodal distributions. Since the proposal of the rejection","authors_text":"Johannes Hertrich, Robert Gruhlke","cross_cats":["cs.LG","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-07-29T22:49:59Z","title":"Importance Corrected Neural JKO Sampling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.20444","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:c9cc3ed96c01d92dccbc54de661794febedac2c5cc4f59075c654875f9d986ed","target":"record","created_at":"2026-07-05T11:52:56Z","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":"a449daae0c278c94b68fda4700d8a971bbd4b2ee32c6815aae1f3235d6cf5bdf","cross_cats_sorted":["cs.LG","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-07-29T22:49:59Z","title_canon_sha256":"85fe6f4a6e0182d1f214e696880f74e914c731b7460b7642194b627635d99d85"},"schema_version":"1.0","source":{"id":"2407.20444","kind":"arxiv","version":3}},"canonical_sha256":"733290e4541f8f11c0bcf0e6c1117cc9a5a19c590affc0257ad8b7587f91e170","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"733290e4541f8f11c0bcf0e6c1117cc9a5a19c590affc0257ad8b7587f91e170","first_computed_at":"2026-07-05T11:52:56.202023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:52:56.202023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JJTYPI2PHQHdgaEk30TS8n7ewIW21MhqKsxMWhh4o+wJdbXV/py89mSyCMgCy/4T0jAz1aYYnKY7TDT0/MK/DA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:52:56.202448Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.20444","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9cc3ed96c01d92dccbc54de661794febedac2c5cc4f59075c654875f9d986ed","sha256:ac2b6d80378907e8fb82b47049da13767c295230722a33af30fd7894ab185869"],"state_sha256":"bce8dfcaff4def7b9e9ac6f6ba44b13cd0e57df15c0d58b1b9767eaf47b94814"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5CkI12cbDClZg0Zcnhz3A0Z2Cnoc6P0rIwDpqvq3Ar25IJUXc1U2XzkkSAK/3veE0jyjAlO0LJB5f3ZmCB1mCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T06:35:42.803464Z","bundle_sha256":"c10a5f47d82991ef2e2d4bbff465673f09f15b1e8d450e2f3899476a81eca50b"}}