{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:URPDO352N4J6TOFCFCBEGCBAMH","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":"c2f13fd5dda24b48b32bea2e132477d22e735b103999219b3c1385cce985e564","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-07-07T14:22:47Z","title_canon_sha256":"c0602d336a4db9d5b4e236b8b446ad1d06136fd8989a711ecf422f6e3b0d24de"},"schema_version":"1.0","source":{"id":"2207.03319","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.03319","created_at":"2026-07-05T05:30:43Z"},{"alias_kind":"arxiv_version","alias_value":"2207.03319v3","created_at":"2026-07-05T05:30:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.03319","created_at":"2026-07-05T05:30:43Z"},{"alias_kind":"pith_short_12","alias_value":"URPDO352N4J6","created_at":"2026-07-05T05:30:43Z"},{"alias_kind":"pith_short_16","alias_value":"URPDO352N4J6TOFC","created_at":"2026-07-05T05:30:43Z"},{"alias_kind":"pith_short_8","alias_value":"URPDO352","created_at":"2026-07-05T05:30:43Z"}],"graph_snapshots":[{"event_id":"sha256:3265a2c4c0761f62fe015e2a6f352945dff186e90418c72c84f4b2206a6589f8","target":"graph","created_at":"2026-07-05T05:30:43Z","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/2207.03319/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Any physical system evolves at a finite speed that is constrained not only by the energetic cost but also by the topological structure of the underlying dynamics. In this Letter, by considering such structural information, we derive a unified topological speed limit for the evolution of physical states using an optimal transport approach. We prove that the minimum time required for changing states is lower bounded by the discrete Wasserstein distance, which encodes the topological information of the system, and the time-averaged velocity. The bound obtained is tight and applicable to a wide ra","authors_text":"Keiji Saito, Tan Van Vu","cross_cats":["cond-mat.stat-mech","physics.bio-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-07-07T14:22:47Z","title":"Topological Speed Limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.03319","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":"sha256:934fb90b83760b63fc1bd476a06dfc43bd987fc659971ce08a0c173c166062d1","target":"record","created_at":"2026-07-05T05:30:43Z","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":"c2f13fd5dda24b48b32bea2e132477d22e735b103999219b3c1385cce985e564","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-07-07T14:22:47Z","title_canon_sha256":"c0602d336a4db9d5b4e236b8b446ad1d06136fd8989a711ecf422f6e3b0d24de"},"schema_version":"1.0","source":{"id":"2207.03319","kind":"arxiv","version":3}},"canonical_sha256":"a45e376fba6f13e9b8a2288243082061c99e85754016c910cba95beae0434b0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a45e376fba6f13e9b8a2288243082061c99e85754016c910cba95beae0434b0d","first_computed_at":"2026-07-05T05:30:43.511486Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:30:43.511486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sqlwhIat9qbuN0I2uguaGezgkcTN5BqDQ5D8b/Myvk0WpLt3/tI1VpF2j4fT/Fvv7K9RkKyuA/jvoXJrSmnrCA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:30:43.512023Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.03319","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:934fb90b83760b63fc1bd476a06dfc43bd987fc659971ce08a0c173c166062d1","sha256:3265a2c4c0761f62fe015e2a6f352945dff186e90418c72c84f4b2206a6589f8"],"state_sha256":"fd5e51f0c55f2f7e696fce642997719729168739a8d39ccecfc7c2e9c2a6cc20"}