{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:K6CUN4JP2WRGVYDEINPU3MRVNT","short_pith_number":"pith:K6CUN4JP","canonical_record":{"source":{"id":"2106.10410","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2021-06-19T03:35:42Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"21ff53b1e81c864867f64f6e47e21361b7940736c2a62efc42e1fa3621c4e8cb","abstract_canon_sha256":"b0cfdae55cd1621ed21e71dc0c96c2fcedb73c2bc2b2a5d9c4329bb2f8f15826"},"schema_version":"1.0"},"canonical_sha256":"578546f12fd5a26ae064435f4db2356cc4ca13793fec9a3f82e370e4026d1141","source":{"kind":"arxiv","id":"2106.10410","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.10410","created_at":"2026-07-05T03:01:56Z"},{"alias_kind":"arxiv_version","alias_value":"2106.10410v2","created_at":"2026-07-05T03:01:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.10410","created_at":"2026-07-05T03:01:56Z"},{"alias_kind":"pith_short_12","alias_value":"K6CUN4JP2WRG","created_at":"2026-07-05T03:01:56Z"},{"alias_kind":"pith_short_16","alias_value":"K6CUN4JP2WRGVYDE","created_at":"2026-07-05T03:01:56Z"},{"alias_kind":"pith_short_8","alias_value":"K6CUN4JP","created_at":"2026-07-05T03:01:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:K6CUN4JP2WRGVYDEINPU3MRVNT","target":"record","payload":{"canonical_record":{"source":{"id":"2106.10410","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2021-06-19T03:35:42Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"21ff53b1e81c864867f64f6e47e21361b7940736c2a62efc42e1fa3621c4e8cb","abstract_canon_sha256":"b0cfdae55cd1621ed21e71dc0c96c2fcedb73c2bc2b2a5d9c4329bb2f8f15826"},"schema_version":"1.0"},"canonical_sha256":"578546f12fd5a26ae064435f4db2356cc4ca13793fec9a3f82e370e4026d1141","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:01:56.279894Z","signature_b64":"qsGCK7/o87oIVY58oY9IdTtgvKwi+LCRHrdGi0ANXwjRfp7fQNFahrDlNlBh9JHatksz/CrxnMi73RAzqJGgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"578546f12fd5a26ae064435f4db2356cc4ca13793fec9a3f82e370e4026d1141","last_reissued_at":"2026-07-05T03:01:56.279507Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:01:56.279507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2106.10410","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:01:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0YxJybh4m+suvsAqzmdR5pNB4yF5JczgAjQ+XM2wVAryFLrvE8dZZUyM/yuo5XPUnk13D06Ye336wYWkGsoOBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T08:25:30.393919Z"},"content_sha256":"c0c4868d08c9c153f5fb41317d9f85c0ec940bc06d9f95d1714eeb764a9012db","schema_version":"1.0","event_id":"sha256:c0c4868d08c9c153f5fb41317d9f85c0ec940bc06d9f95d1714eeb764a9012db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:K6CUN4JP2WRGVYDEINPU3MRVNT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deep Generative Learning via Schr\\\"{o}dinger Bridge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV"],"primary_cat":"cs.LG","authors_text":"Can Yang, Gefei Wang, Qian Xu, Yang Wang, Yuling Jiao","submitted_at":"2021-06-19T03:35:42Z","abstract_excerpt":"We propose to learn a generative model via entropy interpolation with a Schr\\\"{o}dinger Bridge. The generative learning task can be formulated as interpolating between a reference distribution and a target distribution based on the Kullback-Leibler divergence. At the population level, this entropy interpolation is characterized via an SDE on $[0,1]$ with a time-varying drift term. At the sample level, we derive our Schr\\\"{o}dinger Bridge algorithm by plugging the drift term estimated by a deep score estimator and a deep density ratio estimator into the Euler-Maruyama method. Under some mild sm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.10410","kind":"arxiv","version":2},"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/2106.10410/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":"2026-07-05T03:01:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WabmddtaSXu6zOIfnPnkG/x+rfPz9gQ8OzuqS75OQ9I3nSRVTGtFasNgQzCK9ZW2hwAV13VTyrx8/sX6n5SmCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T08:25:30.394431Z"},"content_sha256":"d310516f40d43a20079814d9faccadf4eeec75deccf906e88d9f8645b45feda0","schema_version":"1.0","event_id":"sha256:d310516f40d43a20079814d9faccadf4eeec75deccf906e88d9f8645b45feda0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K6CUN4JP2WRGVYDEINPU3MRVNT/bundle.json","state_url":"https://pith.science/pith/K6CUN4JP2WRGVYDEINPU3MRVNT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K6CUN4JP2WRGVYDEINPU3MRVNT/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":"2026-08-09T08:25:30Z","links":{"resolver":"https://pith.science/pith/K6CUN4JP2WRGVYDEINPU3MRVNT","bundle":"https://pith.science/pith/K6CUN4JP2WRGVYDEINPU3MRVNT/bundle.json","state":"https://pith.science/pith/K6CUN4JP2WRGVYDEINPU3MRVNT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K6CUN4JP2WRGVYDEINPU3MRVNT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:K6CUN4JP2WRGVYDEINPU3MRVNT","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":"b0cfdae55cd1621ed21e71dc0c96c2fcedb73c2bc2b2a5d9c4329bb2f8f15826","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2021-06-19T03:35:42Z","title_canon_sha256":"21ff53b1e81c864867f64f6e47e21361b7940736c2a62efc42e1fa3621c4e8cb"},"schema_version":"1.0","source":{"id":"2106.10410","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.10410","created_at":"2026-07-05T03:01:56Z"},{"alias_kind":"arxiv_version","alias_value":"2106.10410v2","created_at":"2026-07-05T03:01:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.10410","created_at":"2026-07-05T03:01:56Z"},{"alias_kind":"pith_short_12","alias_value":"K6CUN4JP2WRG","created_at":"2026-07-05T03:01:56Z"},{"alias_kind":"pith_short_16","alias_value":"K6CUN4JP2WRGVYDE","created_at":"2026-07-05T03:01:56Z"},{"alias_kind":"pith_short_8","alias_value":"K6CUN4JP","created_at":"2026-07-05T03:01:56Z"}],"graph_snapshots":[{"event_id":"sha256:d310516f40d43a20079814d9faccadf4eeec75deccf906e88d9f8645b45feda0","target":"graph","created_at":"2026-07-05T03:01:56Z","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/2106.10410/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose to learn a generative model via entropy interpolation with a Schr\\\"{o}dinger Bridge. The generative learning task can be formulated as interpolating between a reference distribution and a target distribution based on the Kullback-Leibler divergence. At the population level, this entropy interpolation is characterized via an SDE on $[0,1]$ with a time-varying drift term. At the sample level, we derive our Schr\\\"{o}dinger Bridge algorithm by plugging the drift term estimated by a deep score estimator and a deep density ratio estimator into the Euler-Maruyama method. Under some mild sm","authors_text":"Can Yang, Gefei Wang, Qian Xu, Yang Wang, Yuling Jiao","cross_cats":["cs.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2021-06-19T03:35:42Z","title":"Deep Generative Learning via Schr\\\"{o}dinger Bridge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.10410","kind":"arxiv","version":2},"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:c0c4868d08c9c153f5fb41317d9f85c0ec940bc06d9f95d1714eeb764a9012db","target":"record","created_at":"2026-07-05T03:01:56Z","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":"b0cfdae55cd1621ed21e71dc0c96c2fcedb73c2bc2b2a5d9c4329bb2f8f15826","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2021-06-19T03:35:42Z","title_canon_sha256":"21ff53b1e81c864867f64f6e47e21361b7940736c2a62efc42e1fa3621c4e8cb"},"schema_version":"1.0","source":{"id":"2106.10410","kind":"arxiv","version":2}},"canonical_sha256":"578546f12fd5a26ae064435f4db2356cc4ca13793fec9a3f82e370e4026d1141","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"578546f12fd5a26ae064435f4db2356cc4ca13793fec9a3f82e370e4026d1141","first_computed_at":"2026-07-05T03:01:56.279507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:01:56.279507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qsGCK7/o87oIVY58oY9IdTtgvKwi+LCRHrdGi0ANXwjRfp7fQNFahrDlNlBh9JHatksz/CrxnMi73RAzqJGgDg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:01:56.279894Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.10410","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0c4868d08c9c153f5fb41317d9f85c0ec940bc06d9f95d1714eeb764a9012db","sha256:d310516f40d43a20079814d9faccadf4eeec75deccf906e88d9f8645b45feda0"],"state_sha256":"1f97f3c2176478ced87f0f84de34b865ef8bfd514c3a3df6f5224183910d583c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HYLVkV5PqmpHIhdLF69cqQWOC23EGCZ/kjs/66kkGKrJQtN2zuf1cAdrcDAOFUNWODYhdhZZCglaWX6lPPRXDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T08:25:30.398605Z","bundle_sha256":"62ecb69f330ce06bec4258d8a80fbb5d9149f3b26186a05749865add4ec8dded"}}