{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LT4TY7PGQBH7LN6RQ23UX7HQI2","short_pith_number":"pith:LT4TY7PG","canonical_record":{"source":{"id":"2404.07683","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-04-11T12:22:18Z","cross_cats_sorted":[],"title_canon_sha256":"d0a1cd4087953ba666ea94454baa68dc7eb3d7166f227bd7cda72e33f96b9036","abstract_canon_sha256":"8acb504e967f5fd7a32979de6d44c2b91d8ac32d4df7719333e058346fdb9f66"},"schema_version":"1.0"},"canonical_sha256":"5cf93c7de6804ff5b7d186b74bfcf0468383afc1d4c83a7c273f76a0a50c6391","source":{"kind":"arxiv","id":"2404.07683","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.07683","created_at":"2026-07-05T10:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"2404.07683v3","created_at":"2026-07-05T10:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.07683","created_at":"2026-07-05T10:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"LT4TY7PGQBH7","created_at":"2026-07-05T10:56:05Z"},{"alias_kind":"pith_short_16","alias_value":"LT4TY7PGQBH7LN6R","created_at":"2026-07-05T10:56:05Z"},{"alias_kind":"pith_short_8","alias_value":"LT4TY7PG","created_at":"2026-07-05T10:56:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LT4TY7PGQBH7LN6RQ23UX7HQI2","target":"record","payload":{"canonical_record":{"source":{"id":"2404.07683","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-04-11T12:22:18Z","cross_cats_sorted":[],"title_canon_sha256":"d0a1cd4087953ba666ea94454baa68dc7eb3d7166f227bd7cda72e33f96b9036","abstract_canon_sha256":"8acb504e967f5fd7a32979de6d44c2b91d8ac32d4df7719333e058346fdb9f66"},"schema_version":"1.0"},"canonical_sha256":"5cf93c7de6804ff5b7d186b74bfcf0468383afc1d4c83a7c273f76a0a50c6391","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:56:05.650805Z","signature_b64":"kjE0LEWxqq2vv3IQUW9VQlew55HrGlv03DUkvaAlboQ1FpR8UHPC7Ir1goVeBX874xS2kHmnFJ/rxj3gI0RqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5cf93c7de6804ff5b7d186b74bfcf0468383afc1d4c83a7c273f76a0a50c6391","last_reissued_at":"2026-07-05T10:56:05.650331Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:56:05.650331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.07683","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:56:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bAtWuK1YwbKBD+DNQIgorgcWI4641N3cyeI9oRsbh7wUVWNfOw7zkUGq8Q/x5dpk2HdY41mMVNKKOyI3Es5dCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T00:07:45.056202Z"},"content_sha256":"3b39e3df25c8f9dffb10900dd678558cc3159f284dd18a893e0719f7501d14fc","schema_version":"1.0","event_id":"sha256:3b39e3df25c8f9dffb10900dd678558cc3159f284dd18a893e0719f7501d14fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LT4TY7PGQBH7LN6RQ23UX7HQI2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maximum and minimum causal effects of physical processes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Giulio Chiribella, Kaumudibikash Goswami","submitted_at":"2024-04-11T12:22:18Z","abstract_excerpt":"We introduce two quantitative measures of the strength of causal relations in quantum theory and more general physical theories. These two measures, called the maximum and minimum causal effect, quantify the maximum and minimum changes in the output of a quantum process induced by changes in its input. The maximum and minimum causal effects possess useful properties, such as continuity and data-processing inequality. In quantum theory, they have close connections with quantum information tasks. The maximum quantum causal effect can be used to detect quantum channels with nonzero capacity for t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.07683","kind":"arxiv","version":3},"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/2404.07683/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":"2026-07-05T10:56:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/4lT9G4aV0PD7ex+upksfP4zdDsSwqJLDFjzVfnd+9GP+2ZDZMrTbS0PXaJpHSJoGt30UjYZjP9LBRaB7c41Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T00:07:45.056697Z"},"content_sha256":"07428ec37c11245b132113bd6678a8b6ce69593c5026dfb2c34b27c9a9c264f8","schema_version":"1.0","event_id":"sha256:07428ec37c11245b132113bd6678a8b6ce69593c5026dfb2c34b27c9a9c264f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LT4TY7PGQBH7LN6RQ23UX7HQI2/bundle.json","state_url":"https://pith.science/pith/LT4TY7PGQBH7LN6RQ23UX7HQI2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LT4TY7PGQBH7LN6RQ23UX7HQI2/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":"2026-08-04T00:07:45Z","links":{"resolver":"https://pith.science/pith/LT4TY7PGQBH7LN6RQ23UX7HQI2","bundle":"https://pith.science/pith/LT4TY7PGQBH7LN6RQ23UX7HQI2/bundle.json","state":"https://pith.science/pith/LT4TY7PGQBH7LN6RQ23UX7HQI2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LT4TY7PGQBH7LN6RQ23UX7HQI2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LT4TY7PGQBH7LN6RQ23UX7HQI2","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":"8acb504e967f5fd7a32979de6d44c2b91d8ac32d4df7719333e058346fdb9f66","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-04-11T12:22:18Z","title_canon_sha256":"d0a1cd4087953ba666ea94454baa68dc7eb3d7166f227bd7cda72e33f96b9036"},"schema_version":"1.0","source":{"id":"2404.07683","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.07683","created_at":"2026-07-05T10:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"2404.07683v3","created_at":"2026-07-05T10:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.07683","created_at":"2026-07-05T10:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"LT4TY7PGQBH7","created_at":"2026-07-05T10:56:05Z"},{"alias_kind":"pith_short_16","alias_value":"LT4TY7PGQBH7LN6R","created_at":"2026-07-05T10:56:05Z"},{"alias_kind":"pith_short_8","alias_value":"LT4TY7PG","created_at":"2026-07-05T10:56:05Z"}],"graph_snapshots":[{"event_id":"sha256:07428ec37c11245b132113bd6678a8b6ce69593c5026dfb2c34b27c9a9c264f8","target":"graph","created_at":"2026-07-05T10:56:05Z","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/2404.07683/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce two quantitative measures of the strength of causal relations in quantum theory and more general physical theories. These two measures, called the maximum and minimum causal effect, quantify the maximum and minimum changes in the output of a quantum process induced by changes in its input. The maximum and minimum causal effects possess useful properties, such as continuity and data-processing inequality. In quantum theory, they have close connections with quantum information tasks. The maximum quantum causal effect can be used to detect quantum channels with nonzero capacity for t","authors_text":"Giulio Chiribella, Kaumudibikash Goswami","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-04-11T12:22:18Z","title":"Maximum and minimum causal effects of physical processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.07683","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":"sha256:3b39e3df25c8f9dffb10900dd678558cc3159f284dd18a893e0719f7501d14fc","target":"record","created_at":"2026-07-05T10:56:05Z","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":"8acb504e967f5fd7a32979de6d44c2b91d8ac32d4df7719333e058346fdb9f66","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-04-11T12:22:18Z","title_canon_sha256":"d0a1cd4087953ba666ea94454baa68dc7eb3d7166f227bd7cda72e33f96b9036"},"schema_version":"1.0","source":{"id":"2404.07683","kind":"arxiv","version":3}},"canonical_sha256":"5cf93c7de6804ff5b7d186b74bfcf0468383afc1d4c83a7c273f76a0a50c6391","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5cf93c7de6804ff5b7d186b74bfcf0468383afc1d4c83a7c273f76a0a50c6391","first_computed_at":"2026-07-05T10:56:05.650331Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:56:05.650331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kjE0LEWxqq2vv3IQUW9VQlew55HrGlv03DUkvaAlboQ1FpR8UHPC7Ir1goVeBX874xS2kHmnFJ/rxj3gI0RqBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:56:05.650805Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.07683","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b39e3df25c8f9dffb10900dd678558cc3159f284dd18a893e0719f7501d14fc","sha256:07428ec37c11245b132113bd6678a8b6ce69593c5026dfb2c34b27c9a9c264f8"],"state_sha256":"a28c5bff56fd3433d9ac8b426d48328d770273dec25ca92cc240d9d244117a75"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jiss+PB3rzLGi/H24iB+wl0/Y3IQ1tjPRD4XxVKm+0OmciGJTBcgmG4o4iRiuykN/CIr5Gn4kh6G1WgMORYNDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T00:07:45.059973Z","bundle_sha256":"eccfab9c0cc1caa5788e7dc10a251d8aada9a83a2d823ffcb6a4e43822b164f6"}}