{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:DVU6JAHPHJQFLYK6T73QSXPYWH","short_pith_number":"pith:DVU6JAHP","canonical_record":{"source":{"id":"2412.03487","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-12-04T17:24:35Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"b5f2860818a504b1edcc2875841eeb3ada19a6e5201b99040f26c954095bf1fd","abstract_canon_sha256":"4dd0da732648424f498ba11dfa006a4454cc084cbb09509a0c520c70cf1906c9"},"schema_version":"1.0"},"canonical_sha256":"1d69e480ef3a6055e15e9ff7095df8b1e7aca9a77b31b316b37390de0b21aab0","source":{"kind":"arxiv","id":"2412.03487","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.03487","created_at":"2026-07-05T09:44:30Z"},{"alias_kind":"arxiv_version","alias_value":"2412.03487v1","created_at":"2026-07-05T09:44:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.03487","created_at":"2026-07-05T09:44:30Z"},{"alias_kind":"pith_short_12","alias_value":"DVU6JAHPHJQF","created_at":"2026-07-05T09:44:30Z"},{"alias_kind":"pith_short_16","alias_value":"DVU6JAHPHJQFLYK6","created_at":"2026-07-05T09:44:30Z"},{"alias_kind":"pith_short_8","alias_value":"DVU6JAHP","created_at":"2026-07-05T09:44:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:DVU6JAHPHJQFLYK6T73QSXPYWH","target":"record","payload":{"canonical_record":{"source":{"id":"2412.03487","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-12-04T17:24:35Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"b5f2860818a504b1edcc2875841eeb3ada19a6e5201b99040f26c954095bf1fd","abstract_canon_sha256":"4dd0da732648424f498ba11dfa006a4454cc084cbb09509a0c520c70cf1906c9"},"schema_version":"1.0"},"canonical_sha256":"1d69e480ef3a6055e15e9ff7095df8b1e7aca9a77b31b316b37390de0b21aab0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:44:30.189224Z","signature_b64":"eU0plxooOLO26HsZ9K3nASxhwC+sESMLULkKkhehyhYjvKWl5CoEIR1ZdxAu3kVcTpVfM8Ma4YHDuv9bwsr8DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d69e480ef3a6055e15e9ff7095df8b1e7aca9a77b31b316b37390de0b21aab0","last_reissued_at":"2026-07-05T09:44:30.188644Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:44:30.188644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.03487","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":"2026-07-05T09:44:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r/ZQllC2PMP0ztVlcYDggcfvtTf05pDLk3mZaXUaN391B7+EBVKge9OhVul1dQReNi/S4Nj38XcwqAn6T/tqCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T09:49:34.423012Z"},"content_sha256":"08a7e05ba5b5b88dcfa70dee3e115c1f04181c6376cdd39914edcc8f19266711","schema_version":"1.0","event_id":"sha256:08a7e05ba5b5b88dcfa70dee3e115c1f04181c6376cdd39914edcc8f19266711"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:DVU6JAHPHJQFLYK6T73QSXPYWH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flow Matching with General Discrete Paths: A Kinetic-Optimal Perspective","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Anuroop Sriram, Brian Karrer, Daniel Severo, Itai Gat, Marton Havasi, Neta Shaul, Peter Holderrieth, Ricky T. Q. Chen, Yaron Lipman","submitted_at":"2024-12-04T17:24:35Z","abstract_excerpt":"The design space of discrete-space diffusion or flow generative models are significantly less well-understood than their continuous-space counterparts, with many works focusing only on a simple masked construction. In this work, we aim to take a holistic approach to the construction of discrete generative models based on continuous-time Markov chains, and for the first time, allow the use of arbitrary discrete probability paths, or colloquially, corruption processes. Through the lens of optimizing the symmetric kinetic energy, we propose velocity formulas that can be applied to any given proba"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.03487","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/2412.03487/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":"2026-07-05T09:44:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wJKjDb3Owny3D7Rzf/SCn7oOZaZUSBflVuHnh9+aEw/JmXi2nCEK81+bbDAbhfZpC8o55KNzEhmm8mljrwquDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T09:49:34.423548Z"},"content_sha256":"9a65f130691aafe66e1e2a7806f43c533827c9cdee8d512f6e80295367227af0","schema_version":"1.0","event_id":"sha256:9a65f130691aafe66e1e2a7806f43c533827c9cdee8d512f6e80295367227af0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DVU6JAHPHJQFLYK6T73QSXPYWH/bundle.json","state_url":"https://pith.science/pith/DVU6JAHPHJQFLYK6T73QSXPYWH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DVU6JAHPHJQFLYK6T73QSXPYWH/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":"2026-08-23T09:49:34Z","links":{"resolver":"https://pith.science/pith/DVU6JAHPHJQFLYK6T73QSXPYWH","bundle":"https://pith.science/pith/DVU6JAHPHJQFLYK6T73QSXPYWH/bundle.json","state":"https://pith.science/pith/DVU6JAHPHJQFLYK6T73QSXPYWH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DVU6JAHPHJQFLYK6T73QSXPYWH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DVU6JAHPHJQFLYK6T73QSXPYWH","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":"4dd0da732648424f498ba11dfa006a4454cc084cbb09509a0c520c70cf1906c9","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-12-04T17:24:35Z","title_canon_sha256":"b5f2860818a504b1edcc2875841eeb3ada19a6e5201b99040f26c954095bf1fd"},"schema_version":"1.0","source":{"id":"2412.03487","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.03487","created_at":"2026-07-05T09:44:30Z"},{"alias_kind":"arxiv_version","alias_value":"2412.03487v1","created_at":"2026-07-05T09:44:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.03487","created_at":"2026-07-05T09:44:30Z"},{"alias_kind":"pith_short_12","alias_value":"DVU6JAHPHJQF","created_at":"2026-07-05T09:44:30Z"},{"alias_kind":"pith_short_16","alias_value":"DVU6JAHPHJQFLYK6","created_at":"2026-07-05T09:44:30Z"},{"alias_kind":"pith_short_8","alias_value":"DVU6JAHP","created_at":"2026-07-05T09:44:30Z"}],"graph_snapshots":[{"event_id":"sha256:9a65f130691aafe66e1e2a7806f43c533827c9cdee8d512f6e80295367227af0","target":"graph","created_at":"2026-07-05T09:44:30Z","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/2412.03487/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The design space of discrete-space diffusion or flow generative models are significantly less well-understood than their continuous-space counterparts, with many works focusing only on a simple masked construction. In this work, we aim to take a holistic approach to the construction of discrete generative models based on continuous-time Markov chains, and for the first time, allow the use of arbitrary discrete probability paths, or colloquially, corruption processes. Through the lens of optimizing the symmetric kinetic energy, we propose velocity formulas that can be applied to any given proba","authors_text":"Anuroop Sriram, Brian Karrer, Daniel Severo, Itai Gat, Marton Havasi, Neta Shaul, Peter Holderrieth, Ricky T. Q. Chen, Yaron Lipman","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-12-04T17:24:35Z","title":"Flow Matching with General Discrete Paths: A Kinetic-Optimal Perspective"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.03487","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":"sha256:08a7e05ba5b5b88dcfa70dee3e115c1f04181c6376cdd39914edcc8f19266711","target":"record","created_at":"2026-07-05T09:44:30Z","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":"4dd0da732648424f498ba11dfa006a4454cc084cbb09509a0c520c70cf1906c9","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-12-04T17:24:35Z","title_canon_sha256":"b5f2860818a504b1edcc2875841eeb3ada19a6e5201b99040f26c954095bf1fd"},"schema_version":"1.0","source":{"id":"2412.03487","kind":"arxiv","version":1}},"canonical_sha256":"1d69e480ef3a6055e15e9ff7095df8b1e7aca9a77b31b316b37390de0b21aab0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d69e480ef3a6055e15e9ff7095df8b1e7aca9a77b31b316b37390de0b21aab0","first_computed_at":"2026-07-05T09:44:30.188644Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:44:30.188644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eU0plxooOLO26HsZ9K3nASxhwC+sESMLULkKkhehyhYjvKWl5CoEIR1ZdxAu3kVcTpVfM8Ma4YHDuv9bwsr8DA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:44:30.189224Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.03487","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08a7e05ba5b5b88dcfa70dee3e115c1f04181c6376cdd39914edcc8f19266711","sha256:9a65f130691aafe66e1e2a7806f43c533827c9cdee8d512f6e80295367227af0"],"state_sha256":"7d5383ec5d7700a44e75b8e7ff10ef2ca702e71565223ef1e7c6ad15ad2d0428"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dh+fj4aBlrHy/qdVa0sSJu80Y95df6LtVcK0bQDZUX7znx+LWKk8c6TCxIaGIMdCkRzGNI8L4OjIzApDoTSBDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T09:49:34.428474Z","bundle_sha256":"f0384b169e995c21c9d8dbf1f9f84cef317f1e38b78ce4e902f3ff497066eadf"}}