{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:PKD3ZVR32GJNU7K7SLER47NMZF","short_pith_number":"pith:PKD3ZVR3","canonical_record":{"source":{"id":"2412.11595","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-16T09:33:35Z","cross_cats_sorted":[],"title_canon_sha256":"61508a6f5804c7c6a093708213e2b569d7493e4efb16587c1ec4f2069d61a0fb","abstract_canon_sha256":"e13047bae19ca8badf6644b7521840e3bb5a60dc67e7282be718451f4d1c4ca3"},"schema_version":"1.0"},"canonical_sha256":"7a87bcd63bd192da7d5f92c91e7dacc952f4a9b5d87d0629ac8ca347b06cdaf3","source":{"kind":"arxiv","id":"2412.11595","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.11595","created_at":"2026-07-05T10:41:51Z"},{"alias_kind":"arxiv_version","alias_value":"2412.11595v2","created_at":"2026-07-05T10:41:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.11595","created_at":"2026-07-05T10:41:51Z"},{"alias_kind":"pith_short_12","alias_value":"PKD3ZVR32GJN","created_at":"2026-07-05T10:41:51Z"},{"alias_kind":"pith_short_16","alias_value":"PKD3ZVR32GJNU7K7","created_at":"2026-07-05T10:41:51Z"},{"alias_kind":"pith_short_8","alias_value":"PKD3ZVR3","created_at":"2026-07-05T10:41:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:PKD3ZVR32GJNU7K7SLER47NMZF","target":"record","payload":{"canonical_record":{"source":{"id":"2412.11595","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-16T09:33:35Z","cross_cats_sorted":[],"title_canon_sha256":"61508a6f5804c7c6a093708213e2b569d7493e4efb16587c1ec4f2069d61a0fb","abstract_canon_sha256":"e13047bae19ca8badf6644b7521840e3bb5a60dc67e7282be718451f4d1c4ca3"},"schema_version":"1.0"},"canonical_sha256":"7a87bcd63bd192da7d5f92c91e7dacc952f4a9b5d87d0629ac8ca347b06cdaf3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:41:51.234098Z","signature_b64":"FDheIb4IpD8F1hltnQl723/rhpMx+2tvCrm0otYSNoF4gl+1nFsaE+GxrjNJER6Ax0NjOKuIvKjr0NfPI+rmDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a87bcd63bd192da7d5f92c91e7dacc952f4a9b5d87d0629ac8ca347b06cdaf3","last_reissued_at":"2026-07-05T10:41:51.233600Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:41:51.233600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.11595","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":"2026-07-05T10:41:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kBCzHwc29J125iCF69lCiumQDwemW2IerKxNDvaMdY4bxg588/B4D4NVI5TUUsly1DANG1Mqcud3nQzfGbAZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T12:19:26.444459Z"},"content_sha256":"17ea3b4b75523aa430f0b1c32fa4f30ac72b1bb35c73785772e5cc288e00d4cc","schema_version":"1.0","event_id":"sha256:17ea3b4b75523aa430f0b1c32fa4f30ac72b1bb35c73785772e5cc288e00d4cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:PKD3ZVR32GJNU7K7SLER47NMZF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Monotones in Resource Theories for Dynamical Decoupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Graeme D. Berk, Kavan Modi, Simon Milz","submitted_at":"2024-12-16T09:33:35Z","abstract_excerpt":"In arXiv:2110.02613, we presented a generalised dynamical resource theory framework that enabled noise reduction techniques including dynamical decoupling (DD) to be studied. While this fundamental contribution remains correct, it has been found that the main resource quantifiers we employed to study these resource theories -- based on the relative entropies between Choi states of multitime processes -- are not monotonic under the allowed transformations. In this letter we detail modified relative entropy-based resource quantifiers, prove that they are indeed monotonic in our resource theories"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.11595","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/2412.11595/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":"2026-07-05T10:41:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Mn1gRure59YBwvkC0o7lFOL9JdAHBkn5oS7NOC/R7MbaILv+VISaMraVGDecE5qZWQgJ7vQ/KqTRn0ze+jpDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T12:19:26.446276Z"},"content_sha256":"a9716aaa238bd823d42754341eb4bd14b83a8cb41fab270dae43d2968555f17d","schema_version":"1.0","event_id":"sha256:a9716aaa238bd823d42754341eb4bd14b83a8cb41fab270dae43d2968555f17d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PKD3ZVR32GJNU7K7SLER47NMZF/bundle.json","state_url":"https://pith.science/pith/PKD3ZVR32GJNU7K7SLER47NMZF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PKD3ZVR32GJNU7K7SLER47NMZF/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":"2026-08-12T12:19:26Z","links":{"resolver":"https://pith.science/pith/PKD3ZVR32GJNU7K7SLER47NMZF","bundle":"https://pith.science/pith/PKD3ZVR32GJNU7K7SLER47NMZF/bundle.json","state":"https://pith.science/pith/PKD3ZVR32GJNU7K7SLER47NMZF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PKD3ZVR32GJNU7K7SLER47NMZF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:PKD3ZVR32GJNU7K7SLER47NMZF","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":"e13047bae19ca8badf6644b7521840e3bb5a60dc67e7282be718451f4d1c4ca3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-16T09:33:35Z","title_canon_sha256":"61508a6f5804c7c6a093708213e2b569d7493e4efb16587c1ec4f2069d61a0fb"},"schema_version":"1.0","source":{"id":"2412.11595","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.11595","created_at":"2026-07-05T10:41:51Z"},{"alias_kind":"arxiv_version","alias_value":"2412.11595v2","created_at":"2026-07-05T10:41:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.11595","created_at":"2026-07-05T10:41:51Z"},{"alias_kind":"pith_short_12","alias_value":"PKD3ZVR32GJN","created_at":"2026-07-05T10:41:51Z"},{"alias_kind":"pith_short_16","alias_value":"PKD3ZVR32GJNU7K7","created_at":"2026-07-05T10:41:51Z"},{"alias_kind":"pith_short_8","alias_value":"PKD3ZVR3","created_at":"2026-07-05T10:41:51Z"}],"graph_snapshots":[{"event_id":"sha256:a9716aaa238bd823d42754341eb4bd14b83a8cb41fab270dae43d2968555f17d","target":"graph","created_at":"2026-07-05T10:41:51Z","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/2412.11595/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In arXiv:2110.02613, we presented a generalised dynamical resource theory framework that enabled noise reduction techniques including dynamical decoupling (DD) to be studied. While this fundamental contribution remains correct, it has been found that the main resource quantifiers we employed to study these resource theories -- based on the relative entropies between Choi states of multitime processes -- are not monotonic under the allowed transformations. In this letter we detail modified relative entropy-based resource quantifiers, prove that they are indeed monotonic in our resource theories","authors_text":"Graeme D. Berk, Kavan Modi, Simon Milz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-16T09:33:35Z","title":"Monotones in Resource Theories for Dynamical Decoupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.11595","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":"sha256:17ea3b4b75523aa430f0b1c32fa4f30ac72b1bb35c73785772e5cc288e00d4cc","target":"record","created_at":"2026-07-05T10:41:51Z","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":"e13047bae19ca8badf6644b7521840e3bb5a60dc67e7282be718451f4d1c4ca3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-16T09:33:35Z","title_canon_sha256":"61508a6f5804c7c6a093708213e2b569d7493e4efb16587c1ec4f2069d61a0fb"},"schema_version":"1.0","source":{"id":"2412.11595","kind":"arxiv","version":2}},"canonical_sha256":"7a87bcd63bd192da7d5f92c91e7dacc952f4a9b5d87d0629ac8ca347b06cdaf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a87bcd63bd192da7d5f92c91e7dacc952f4a9b5d87d0629ac8ca347b06cdaf3","first_computed_at":"2026-07-05T10:41:51.233600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:41:51.233600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FDheIb4IpD8F1hltnQl723/rhpMx+2tvCrm0otYSNoF4gl+1nFsaE+GxrjNJER6Ax0NjOKuIvKjr0NfPI+rmDw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:41:51.234098Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.11595","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17ea3b4b75523aa430f0b1c32fa4f30ac72b1bb35c73785772e5cc288e00d4cc","sha256:a9716aaa238bd823d42754341eb4bd14b83a8cb41fab270dae43d2968555f17d"],"state_sha256":"a02903aa916a2319ce54d4577fd354cc28e63e84b100cd918b46a7f2337c0ac6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xTsajBbXtFPs+0kFyFbTH+JYnCzg1ZQB54PGSZu6fwSs3TqSUvpXSge3JRvNgODer61+JQjfmdwfkCrkDO6pCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T12:19:26.450918Z","bundle_sha256":"7ba8d90764eb2357bdc1c69f35b114e1186fff5ad0332687a6e6763bdd6bcc0a"}}