{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:5B7466YWW7552K2KONVX5TSZOT","short_pith_number":"pith:5B7466YW","canonical_record":{"source":{"id":"2607.21585","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-23T17:57:38Z","cross_cats_sorted":[],"title_canon_sha256":"5d379973cc908a2e7603fa8f4bb27d7269e1742cf9d76f7238e8d442579c9a1e","abstract_canon_sha256":"f59aa02fa16d25b48c351072a2b6865cd8c8428a8e6ba4ddedc2d92c772e2236"},"schema_version":"1.0"},"canonical_sha256":"e87fcf7b16b7fbdd2b4a736b7ece5974e1a211400377be51054438c43aa96937","source":{"kind":"arxiv","id":"2607.21585","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.21585","created_at":"2026-07-24T01:24:41Z"},{"alias_kind":"arxiv_version","alias_value":"2607.21585v1","created_at":"2026-07-24T01:24:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.21585","created_at":"2026-07-24T01:24:41Z"},{"alias_kind":"pith_short_12","alias_value":"5B7466YWW755","created_at":"2026-07-24T01:24:41Z"},{"alias_kind":"pith_short_16","alias_value":"5B7466YWW7552K2K","created_at":"2026-07-24T01:24:41Z"},{"alias_kind":"pith_short_8","alias_value":"5B7466YW","created_at":"2026-07-24T01:24:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:5B7466YWW7552K2KONVX5TSZOT","target":"record","payload":{"canonical_record":{"source":{"id":"2607.21585","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-23T17:57:38Z","cross_cats_sorted":[],"title_canon_sha256":"5d379973cc908a2e7603fa8f4bb27d7269e1742cf9d76f7238e8d442579c9a1e","abstract_canon_sha256":"f59aa02fa16d25b48c351072a2b6865cd8c8428a8e6ba4ddedc2d92c772e2236"},"schema_version":"1.0"},"canonical_sha256":"e87fcf7b16b7fbdd2b4a736b7ece5974e1a211400377be51054438c43aa96937","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-24T01:24:41.505626Z","signature_b64":"DAYuATGdYa+DHszmuAkTUk9RdMzNfZDUq2pk1Ll0MLdhM+iKNcgB0jzi0oZqM9gUnMbNoTLC9kwwCPguEhDIBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e87fcf7b16b7fbdd2b4a736b7ece5974e1a211400377be51054438c43aa96937","last_reissued_at":"2026-07-24T01:24:41.504574Z","signature_status":"signed_v1","first_computed_at":"2026-07-24T01:24:41.504574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.21585","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":"2026-07-24T01:24:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WnRVrK+enM6uPKnSJx6JNjQNnHy/Aa4l/FAR3TgJzjhQf+iJrLR0y5gVYL6GbNmZnxdacBiCmXhgig6YEWktAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T08:06:59.471156Z"},"content_sha256":"dda23895e5f8074bc77537b4a9c2e9886dda300fd6c9dd1a65966ce5719c6091","schema_version":"1.0","event_id":"sha256:dda23895e5f8074bc77537b4a9c2e9886dda300fd6c9dd1a65966ce5719c6091"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:5B7466YWW7552K2KONVX5TSZOT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Expanding Flow Maps","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Pranam Chatterjee, Sophia Tang","submitted_at":"2026-07-23T17:57:38Z","abstract_excerpt":"Flow-based generative models have enabled remarkable progress in fast and controllable generation across continuous and discrete state spaces, yet existing parameterizations are constrained to fixed dimensions or fixed sequence lengths. Here, we introduce Expanding Generative Flows (EFlows), which define flows between distributions of increasing dimensionality along an expanding interpolant that grows the state by augmenting it with conditional noise. Building on this construction, we propose Expanding Flow Maps (EFMs), a new class of flow maps that distill the expanding interpolant into effic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.21585","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.21585/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":"2026-07-24T01:24:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U4vt6q5uJABlOV4WDy3I4BKVx7sK0wceMzyc3NeJS3u2DU3y/0TGeN4M61UbtDIqVZo8XZj8ZuHp3FRmewCICA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T08:06:59.471538Z"},"content_sha256":"9f49f7874e9f8f903676c3e7fcea5b777e8bf096feaf19f9bed29f22cae60e2f","schema_version":"1.0","event_id":"sha256:9f49f7874e9f8f903676c3e7fcea5b777e8bf096feaf19f9bed29f22cae60e2f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5B7466YWW7552K2KONVX5TSZOT/bundle.json","state_url":"https://pith.science/pith/5B7466YWW7552K2KONVX5TSZOT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5B7466YWW7552K2KONVX5TSZOT/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":"2026-08-06T08:06:59Z","links":{"resolver":"https://pith.science/pith/5B7466YWW7552K2KONVX5TSZOT","bundle":"https://pith.science/pith/5B7466YWW7552K2KONVX5TSZOT/bundle.json","state":"https://pith.science/pith/5B7466YWW7552K2KONVX5TSZOT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5B7466YWW7552K2KONVX5TSZOT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5B7466YWW7552K2KONVX5TSZOT","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":"f59aa02fa16d25b48c351072a2b6865cd8c8428a8e6ba4ddedc2d92c772e2236","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-23T17:57:38Z","title_canon_sha256":"5d379973cc908a2e7603fa8f4bb27d7269e1742cf9d76f7238e8d442579c9a1e"},"schema_version":"1.0","source":{"id":"2607.21585","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.21585","created_at":"2026-07-24T01:24:41Z"},{"alias_kind":"arxiv_version","alias_value":"2607.21585v1","created_at":"2026-07-24T01:24:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.21585","created_at":"2026-07-24T01:24:41Z"},{"alias_kind":"pith_short_12","alias_value":"5B7466YWW755","created_at":"2026-07-24T01:24:41Z"},{"alias_kind":"pith_short_16","alias_value":"5B7466YWW7552K2K","created_at":"2026-07-24T01:24:41Z"},{"alias_kind":"pith_short_8","alias_value":"5B7466YW","created_at":"2026-07-24T01:24:41Z"}],"graph_snapshots":[{"event_id":"sha256:9f49f7874e9f8f903676c3e7fcea5b777e8bf096feaf19f9bed29f22cae60e2f","target":"graph","created_at":"2026-07-24T01:24:41Z","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/2607.21585/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Flow-based generative models have enabled remarkable progress in fast and controllable generation across continuous and discrete state spaces, yet existing parameterizations are constrained to fixed dimensions or fixed sequence lengths. Here, we introduce Expanding Generative Flows (EFlows), which define flows between distributions of increasing dimensionality along an expanding interpolant that grows the state by augmenting it with conditional noise. Building on this construction, we propose Expanding Flow Maps (EFMs), a new class of flow maps that distill the expanding interpolant into effic","authors_text":"Pranam Chatterjee, Sophia Tang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-23T17:57:38Z","title":"Expanding Flow Maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.21585","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:dda23895e5f8074bc77537b4a9c2e9886dda300fd6c9dd1a65966ce5719c6091","target":"record","created_at":"2026-07-24T01:24:41Z","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":"f59aa02fa16d25b48c351072a2b6865cd8c8428a8e6ba4ddedc2d92c772e2236","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-23T17:57:38Z","title_canon_sha256":"5d379973cc908a2e7603fa8f4bb27d7269e1742cf9d76f7238e8d442579c9a1e"},"schema_version":"1.0","source":{"id":"2607.21585","kind":"arxiv","version":1}},"canonical_sha256":"e87fcf7b16b7fbdd2b4a736b7ece5974e1a211400377be51054438c43aa96937","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e87fcf7b16b7fbdd2b4a736b7ece5974e1a211400377be51054438c43aa96937","first_computed_at":"2026-07-24T01:24:41.504574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-24T01:24:41.504574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DAYuATGdYa+DHszmuAkTUk9RdMzNfZDUq2pk1Ll0MLdhM+iKNcgB0jzi0oZqM9gUnMbNoTLC9kwwCPguEhDIBw==","signature_status":"signed_v1","signed_at":"2026-07-24T01:24:41.505626Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.21585","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dda23895e5f8074bc77537b4a9c2e9886dda300fd6c9dd1a65966ce5719c6091","sha256:9f49f7874e9f8f903676c3e7fcea5b777e8bf096feaf19f9bed29f22cae60e2f"],"state_sha256":"87761c1a57b8c7cfe3546730bf0404a5a28df732963c2558fb96ca8d7260b70f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VMYbkMG8f1F3HOS1WuJ7jKznUXBTbHBIfYKcl9lsTrtaBiafoLCNaajiOvX9q/owNePiStRlpDQUI4xGwtASDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T08:06:59.475228Z","bundle_sha256":"70b3a8d59f6b95ec97ed90e7b90b02024e681545cc78f0435dbf7d3d0b19b531"}}