{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:YGLZ6FU3RL7E53WEBTAQOHKGOA","short_pith_number":"pith:YGLZ6FU3","canonical_record":{"source":{"id":"2211.01156","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-11-02T14:35:13Z","cross_cats_sorted":[],"title_canon_sha256":"629431baedda8dea457d03f39d618368a97ee31351882c7fef4da1d5c68d79ac","abstract_canon_sha256":"ce1e7ea9d0dfee21e638c010fc9861c026f07de22f23a87612e00b44a9b8730d"},"schema_version":"1.0"},"canonical_sha256":"c1979f169b8afe4eeec40cc1071d46702bc162a7fb5d32b5988c0843b76780aa","source":{"kind":"arxiv","id":"2211.01156","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.01156","created_at":"2026-07-05T07:07:51Z"},{"alias_kind":"arxiv_version","alias_value":"2211.01156v3","created_at":"2026-07-05T07:07:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.01156","created_at":"2026-07-05T07:07:51Z"},{"alias_kind":"pith_short_12","alias_value":"YGLZ6FU3RL7E","created_at":"2026-07-05T07:07:51Z"},{"alias_kind":"pith_short_16","alias_value":"YGLZ6FU3RL7E53WE","created_at":"2026-07-05T07:07:51Z"},{"alias_kind":"pith_short_8","alias_value":"YGLZ6FU3","created_at":"2026-07-05T07:07:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:YGLZ6FU3RL7E53WEBTAQOHKGOA","target":"record","payload":{"canonical_record":{"source":{"id":"2211.01156","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-11-02T14:35:13Z","cross_cats_sorted":[],"title_canon_sha256":"629431baedda8dea457d03f39d618368a97ee31351882c7fef4da1d5c68d79ac","abstract_canon_sha256":"ce1e7ea9d0dfee21e638c010fc9861c026f07de22f23a87612e00b44a9b8730d"},"schema_version":"1.0"},"canonical_sha256":"c1979f169b8afe4eeec40cc1071d46702bc162a7fb5d32b5988c0843b76780aa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:07:51.729913Z","signature_b64":"vGv9h1/oXmTcDt7rNAqLeJfGTl2anyiS5Sewy6G0K61hWTseHdcMEpLK7KIvbfXnoDao2XDyKQLMl0Y1eCQ0Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1979f169b8afe4eeec40cc1071d46702bc162a7fb5d32b5988c0843b76780aa","last_reissued_at":"2026-07-05T07:07:51.729456Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:07:51.729456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2211.01156","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":"2026-07-05T07:07:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SZLbOy8tUTW7wP3NV1c4lZUKqsVtgzYbPyHWlHqpQkHOs1eczoVAqEdVQTtN1JwBthdOQijVxQsvQc3Cw+fhCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T16:11:48.871454Z"},"content_sha256":"57f99b1815a822d8223330f6971f29cb7789487fa80e8d8a94468673d5317928","schema_version":"1.0","event_id":"sha256:57f99b1815a822d8223330f6971f29cb7789487fa80e8d8a94468673d5317928"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:YGLZ6FU3RL7E53WEBTAQOHKGOA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropic Neural Optimal Transport via Diffusion Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Alexander Kolesov, Alexander Korotin, Dmitry Vetrov, Evgeny Burnaev, Nikita Gushchin","submitted_at":"2022-11-02T14:35:13Z","abstract_excerpt":"We propose a novel neural algorithm for the fundamental problem of computing the entropic optimal transport (EOT) plan between continuous probability distributions which are accessible by samples. Our algorithm is based on the saddle point reformulation of the dynamic version of EOT which is known as the Schr\\\"odinger Bridge problem. In contrast to the prior methods for large-scale EOT, our algorithm is end-to-end and consists of a single learning step, has fast inference procedure, and allows handling small values of the entropy regularization coefficient which is of particular importance in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.01156","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/2211.01156/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":"2026-07-05T07:07:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Vyi6skE9nyG+rKUVIB+mRPbwKb73yMo5e3cbkX7kRWmfuSATNeHcOaCw4QqYC0HKs4QTTymq+X9dvkrheDpAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T16:11:48.871980Z"},"content_sha256":"565a8d3354a3a7203c681997ce7d10b8ad72093e74085ee712d401f4cd4ecb23","schema_version":"1.0","event_id":"sha256:565a8d3354a3a7203c681997ce7d10b8ad72093e74085ee712d401f4cd4ecb23"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YGLZ6FU3RL7E53WEBTAQOHKGOA/bundle.json","state_url":"https://pith.science/pith/YGLZ6FU3RL7E53WEBTAQOHKGOA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YGLZ6FU3RL7E53WEBTAQOHKGOA/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":"2026-08-15T16:11:48Z","links":{"resolver":"https://pith.science/pith/YGLZ6FU3RL7E53WEBTAQOHKGOA","bundle":"https://pith.science/pith/YGLZ6FU3RL7E53WEBTAQOHKGOA/bundle.json","state":"https://pith.science/pith/YGLZ6FU3RL7E53WEBTAQOHKGOA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YGLZ6FU3RL7E53WEBTAQOHKGOA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:YGLZ6FU3RL7E53WEBTAQOHKGOA","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":"ce1e7ea9d0dfee21e638c010fc9861c026f07de22f23a87612e00b44a9b8730d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-11-02T14:35:13Z","title_canon_sha256":"629431baedda8dea457d03f39d618368a97ee31351882c7fef4da1d5c68d79ac"},"schema_version":"1.0","source":{"id":"2211.01156","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.01156","created_at":"2026-07-05T07:07:51Z"},{"alias_kind":"arxiv_version","alias_value":"2211.01156v3","created_at":"2026-07-05T07:07:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.01156","created_at":"2026-07-05T07:07:51Z"},{"alias_kind":"pith_short_12","alias_value":"YGLZ6FU3RL7E","created_at":"2026-07-05T07:07:51Z"},{"alias_kind":"pith_short_16","alias_value":"YGLZ6FU3RL7E53WE","created_at":"2026-07-05T07:07:51Z"},{"alias_kind":"pith_short_8","alias_value":"YGLZ6FU3","created_at":"2026-07-05T07:07:51Z"}],"graph_snapshots":[{"event_id":"sha256:565a8d3354a3a7203c681997ce7d10b8ad72093e74085ee712d401f4cd4ecb23","target":"graph","created_at":"2026-07-05T07:07:51Z","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/2211.01156/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a novel neural algorithm for the fundamental problem of computing the entropic optimal transport (EOT) plan between continuous probability distributions which are accessible by samples. Our algorithm is based on the saddle point reformulation of the dynamic version of EOT which is known as the Schr\\\"odinger Bridge problem. In contrast to the prior methods for large-scale EOT, our algorithm is end-to-end and consists of a single learning step, has fast inference procedure, and allows handling small values of the entropy regularization coefficient which is of particular importance in ","authors_text":"Alexander Kolesov, Alexander Korotin, Dmitry Vetrov, Evgeny Burnaev, Nikita Gushchin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-11-02T14:35:13Z","title":"Entropic Neural Optimal Transport via Diffusion Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.01156","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":"sha256:57f99b1815a822d8223330f6971f29cb7789487fa80e8d8a94468673d5317928","target":"record","created_at":"2026-07-05T07:07:51Z","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":"ce1e7ea9d0dfee21e638c010fc9861c026f07de22f23a87612e00b44a9b8730d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-11-02T14:35:13Z","title_canon_sha256":"629431baedda8dea457d03f39d618368a97ee31351882c7fef4da1d5c68d79ac"},"schema_version":"1.0","source":{"id":"2211.01156","kind":"arxiv","version":3}},"canonical_sha256":"c1979f169b8afe4eeec40cc1071d46702bc162a7fb5d32b5988c0843b76780aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1979f169b8afe4eeec40cc1071d46702bc162a7fb5d32b5988c0843b76780aa","first_computed_at":"2026-07-05T07:07:51.729456Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:07:51.729456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vGv9h1/oXmTcDt7rNAqLeJfGTl2anyiS5Sewy6G0K61hWTseHdcMEpLK7KIvbfXnoDao2XDyKQLMl0Y1eCQ0Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:07:51.729913Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.01156","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57f99b1815a822d8223330f6971f29cb7789487fa80e8d8a94468673d5317928","sha256:565a8d3354a3a7203c681997ce7d10b8ad72093e74085ee712d401f4cd4ecb23"],"state_sha256":"6dc370962a780cf1d1dbd7dca424ec146691e2290787e02aa8a3e19242187298"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xfs/OQmRzqL6TuQTDno3tykb3tXNrCaIOC7wv8FXY0WQLB8jVxuWkwrY77CtBE5XqSAQYA3C95PiGyXXZ2N2Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T16:11:48.875773Z","bundle_sha256":"57c01cbc58a398a0eac661331df42362d6e556b6f15b4facc04ea95fe0daf924"}}