{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:I7PZ6MZDBEVJLLRVOEQCGVVFRO","short_pith_number":"pith:I7PZ6MZD","canonical_record":{"source":{"id":"2606.13400","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-11T14:30:50Z","cross_cats_sorted":["cs.AI","cs.RO"],"title_canon_sha256":"11741b18c61aa8c5b4950ed917e21fdff9a9c0c766b5c502f6978ab6b44f7f2e","abstract_canon_sha256":"c946c1f2b3493868b2890868a2a61305abcd7c782a1627c2e544edb84a1dc073"},"schema_version":"1.0"},"canonical_sha256":"47df9f3323092a95ae3571202356a58bbd02d37e22bfb09223c255994ef26d51","source":{"kind":"arxiv","id":"2606.13400","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.13400","created_at":"2026-06-12T01:10:00Z"},{"alias_kind":"arxiv_version","alias_value":"2606.13400v1","created_at":"2026-06-12T01:10:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13400","created_at":"2026-06-12T01:10:00Z"},{"alias_kind":"pith_short_12","alias_value":"I7PZ6MZDBEVJ","created_at":"2026-06-12T01:10:00Z"},{"alias_kind":"pith_short_16","alias_value":"I7PZ6MZDBEVJLLRV","created_at":"2026-06-12T01:10:00Z"},{"alias_kind":"pith_short_8","alias_value":"I7PZ6MZD","created_at":"2026-06-12T01:10:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:I7PZ6MZDBEVJLLRVOEQCGVVFRO","target":"record","payload":{"canonical_record":{"source":{"id":"2606.13400","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-11T14:30:50Z","cross_cats_sorted":["cs.AI","cs.RO"],"title_canon_sha256":"11741b18c61aa8c5b4950ed917e21fdff9a9c0c766b5c502f6978ab6b44f7f2e","abstract_canon_sha256":"c946c1f2b3493868b2890868a2a61305abcd7c782a1627c2e544edb84a1dc073"},"schema_version":"1.0"},"canonical_sha256":"47df9f3323092a95ae3571202356a58bbd02d37e22bfb09223c255994ef26d51","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T01:10:00.591713Z","signature_b64":"EzFZAphbPXuXEJL3kqgHm260mz8HSsKDB8usMozzju1KRsaAOtJIJTB2QdYY2UUfwyPE2RoX6WP7JQi/PcoEAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47df9f3323092a95ae3571202356a58bbd02d37e22bfb09223c255994ef26d51","last_reissued_at":"2026-06-12T01:10:00.590819Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T01:10:00.590819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.13400","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":"2026-06-12T01:10:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LIZQ/LGUvOpd/bxQL4Fv2p4PHkNqsJ2QOor/hU6n2v3F395YXNbE6oYtTb8woZnRxL+SRwzIxnwj/PUXRnkvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:35:40.415900Z"},"content_sha256":"ad2744726b9f4cdea0a2e01bf5b1b265e3df8b653d7130238e4a3e0069ca1c49","schema_version":"1.0","event_id":"sha256:ad2744726b9f4cdea0a2e01bf5b1b265e3df8b653d7130238e4a3e0069ca1c49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:I7PZ6MZDBEVJLLRVOEQCGVVFRO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"PolyFlow: Safe and Efficient Polytope-Constrained Flow Matching with Constraint Embedding and Projection-free Update","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","cs.RO"],"primary_cat":"cs.LG","authors_text":"Jianming Ma, Liyun Yan, Qiyue Yang, Yang Zhang, Yazhou Zhang, Yue Gao, Zhanxiang Cao","submitted_at":"2026-06-11T14:30:50Z","abstract_excerpt":"While flow-based generative models have demonstrated strong performance across a wide range of domains, deploying them in safety-critical physical systems remains challenging due to strict constraint requirements. Existing approaches typically enforce safety through post-hoc corrections, which incur substantial computational overhead and may distort the learned distribution. We propose PolyFlow, a polytope-constrained flow matching framework that embeds constraints directly into the model and flow dynamics. PolyFlow introduces a discrete-time flow formulation and a projection-free architecture"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13400","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/2606.13400/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":"2026-06-12T01:10:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7QOpPSO7KS3oo6NN4JAhpslvQdJWovGhb4F1DfGchhNIS4FJatVV2gm1wD+snuwZov6P8+AN9WIekmdEewtXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:35:40.416327Z"},"content_sha256":"25cc3b5023890cc909402fc18777bc794445e8b2bc8233e241b115dc3f76357e","schema_version":"1.0","event_id":"sha256:25cc3b5023890cc909402fc18777bc794445e8b2bc8233e241b115dc3f76357e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I7PZ6MZDBEVJLLRVOEQCGVVFRO/bundle.json","state_url":"https://pith.science/pith/I7PZ6MZDBEVJLLRVOEQCGVVFRO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I7PZ6MZDBEVJLLRVOEQCGVVFRO/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":"2026-06-27T15:35:40Z","links":{"resolver":"https://pith.science/pith/I7PZ6MZDBEVJLLRVOEQCGVVFRO","bundle":"https://pith.science/pith/I7PZ6MZDBEVJLLRVOEQCGVVFRO/bundle.json","state":"https://pith.science/pith/I7PZ6MZDBEVJLLRVOEQCGVVFRO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I7PZ6MZDBEVJLLRVOEQCGVVFRO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:I7PZ6MZDBEVJLLRVOEQCGVVFRO","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":"c946c1f2b3493868b2890868a2a61305abcd7c782a1627c2e544edb84a1dc073","cross_cats_sorted":["cs.AI","cs.RO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-11T14:30:50Z","title_canon_sha256":"11741b18c61aa8c5b4950ed917e21fdff9a9c0c766b5c502f6978ab6b44f7f2e"},"schema_version":"1.0","source":{"id":"2606.13400","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.13400","created_at":"2026-06-12T01:10:00Z"},{"alias_kind":"arxiv_version","alias_value":"2606.13400v1","created_at":"2026-06-12T01:10:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13400","created_at":"2026-06-12T01:10:00Z"},{"alias_kind":"pith_short_12","alias_value":"I7PZ6MZDBEVJ","created_at":"2026-06-12T01:10:00Z"},{"alias_kind":"pith_short_16","alias_value":"I7PZ6MZDBEVJLLRV","created_at":"2026-06-12T01:10:00Z"},{"alias_kind":"pith_short_8","alias_value":"I7PZ6MZD","created_at":"2026-06-12T01:10:00Z"}],"graph_snapshots":[{"event_id":"sha256:25cc3b5023890cc909402fc18777bc794445e8b2bc8233e241b115dc3f76357e","target":"graph","created_at":"2026-06-12T01:10:00Z","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/2606.13400/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"While flow-based generative models have demonstrated strong performance across a wide range of domains, deploying them in safety-critical physical systems remains challenging due to strict constraint requirements. Existing approaches typically enforce safety through post-hoc corrections, which incur substantial computational overhead and may distort the learned distribution. We propose PolyFlow, a polytope-constrained flow matching framework that embeds constraints directly into the model and flow dynamics. PolyFlow introduces a discrete-time flow formulation and a projection-free architecture","authors_text":"Jianming Ma, Liyun Yan, Qiyue Yang, Yang Zhang, Yazhou Zhang, Yue Gao, Zhanxiang Cao","cross_cats":["cs.AI","cs.RO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-11T14:30:50Z","title":"PolyFlow: Safe and Efficient Polytope-Constrained Flow Matching with Constraint Embedding and Projection-free Update"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13400","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:ad2744726b9f4cdea0a2e01bf5b1b265e3df8b653d7130238e4a3e0069ca1c49","target":"record","created_at":"2026-06-12T01:10:00Z","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":"c946c1f2b3493868b2890868a2a61305abcd7c782a1627c2e544edb84a1dc073","cross_cats_sorted":["cs.AI","cs.RO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-11T14:30:50Z","title_canon_sha256":"11741b18c61aa8c5b4950ed917e21fdff9a9c0c766b5c502f6978ab6b44f7f2e"},"schema_version":"1.0","source":{"id":"2606.13400","kind":"arxiv","version":1}},"canonical_sha256":"47df9f3323092a95ae3571202356a58bbd02d37e22bfb09223c255994ef26d51","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47df9f3323092a95ae3571202356a58bbd02d37e22bfb09223c255994ef26d51","first_computed_at":"2026-06-12T01:10:00.590819Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T01:10:00.590819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EzFZAphbPXuXEJL3kqgHm260mz8HSsKDB8usMozzju1KRsaAOtJIJTB2QdYY2UUfwyPE2RoX6WP7JQi/PcoEAg==","signature_status":"signed_v1","signed_at":"2026-06-12T01:10:00.591713Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.13400","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad2744726b9f4cdea0a2e01bf5b1b265e3df8b653d7130238e4a3e0069ca1c49","sha256:25cc3b5023890cc909402fc18777bc794445e8b2bc8233e241b115dc3f76357e"],"state_sha256":"10b751b7cb74de98589cf1d281b5052fd88562c795d34d549c5084714ff3b936"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ah0oEnC2/cmRpIV5ake9vEfHcNrZbw9xjMn5gBgP8o2f1O4tC4N0oVFGrAQfmiiZ0V1/hTj15YIqWwmSf7lPAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T15:35:40.418384Z","bundle_sha256":"6f6d766b34edfab74b929e858fad5a171995eedf5b887d0924b209b37053939f"}}