{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:OKZK2ZHYCGFP4PWUCBLVPX2HU7","short_pith_number":"pith:OKZK2ZHY","canonical_record":{"source":{"id":"2009.11313","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2020-09-23T18:00:20Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c78a5d03135a3f828ae99829bcc03980b4fba13565be4ce2d21ab7dbf87a3eb2","abstract_canon_sha256":"a5bb42953e546aa78fc5d42e18a634d1acd6221a6abba644a180dc4b9b8d85ce"},"schema_version":"1.0"},"canonical_sha256":"72b2ad64f8118afe3ed4105757df47a7dc9ceaea0877ff96c7b3a7ccd078fcb9","source":{"kind":"arxiv","id":"2009.11313","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.11313","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"arxiv_version","alias_value":"2009.11313v3","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.11313","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"pith_short_12","alias_value":"OKZK2ZHYCGFP","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"pith_short_16","alias_value":"OKZK2ZHYCGFP4PWU","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"pith_short_8","alias_value":"OKZK2ZHY","created_at":"2026-07-05T02:24:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:OKZK2ZHYCGFP4PWUCBLVPX2HU7","target":"record","payload":{"canonical_record":{"source":{"id":"2009.11313","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2020-09-23T18:00:20Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c78a5d03135a3f828ae99829bcc03980b4fba13565be4ce2d21ab7dbf87a3eb2","abstract_canon_sha256":"a5bb42953e546aa78fc5d42e18a634d1acd6221a6abba644a180dc4b9b8d85ce"},"schema_version":"1.0"},"canonical_sha256":"72b2ad64f8118afe3ed4105757df47a7dc9ceaea0877ff96c7b3a7ccd078fcb9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:24:24.485619Z","signature_b64":"XViPkk32MMOoCVCs4kVuYy5Xz/c/BNQOuOGjLqqfNQmDcJjW4nSDgpbypdbC7QPhyY/Gqk4Z69BoejWc+a6sAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72b2ad64f8118afe3ed4105757df47a7dc9ceaea0877ff96c7b3a7ccd078fcb9","last_reissued_at":"2026-07-05T02:24:24.485188Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:24:24.485188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2009.11313","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":"2026-07-05T02:24:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1pq4JuFKWJy4X0tFsTZ+ZWu8hdF0muaNXP/HntPChOdQlgvkiGAPp9a7xNQpX/CqzOayk9VhdYaczcjOtKVNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T23:48:27.449418Z"},"content_sha256":"49d482fe39ddb36539116de02c0688e9f0511990e9d29351b1deb17d5dfeb5a0","schema_version":"1.0","event_id":"sha256:49d482fe39ddb36539116de02c0688e9f0511990e9d29351b1deb17d5dfeb5a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:OKZK2ZHYCGFP4PWUCBLVPX2HU7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Framework for resource quantification in infinite-dimensional general probabilistic theories","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Bartosz Regula, Giovanni Ferrari, Ludovico Lami, Ryuji Takagi","submitted_at":"2020-09-23T18:00:20Z","abstract_excerpt":"Resource theories provide a general framework for the characterization of properties of physical systems in quantum mechanics and beyond. Here, we introduce methods for the quantification of resources in general probabilistic theories (GPTs), focusing in particular on the technical issues associated with infinite-dimensional state spaces. We define a universal resource quantifier based on the robustness measure, and show it to admit a direct operational meaning: in any GPT, it quantifies the advantage that a given resource state enables in channel discrimination tasks over all resourceless sta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.11313","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/2009.11313/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":"2026-07-05T02:24:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jDfThLtGHWE2Uquc05MYGJtPfvHlXgcCfoMt498Ut8J8ob6TQ6xH1HrX+65DHp4O6wQ5AoltitARmRG+AV/PAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T23:48:27.449947Z"},"content_sha256":"61008aa43c9758c6e47cd472eb7a8575828fe67a462c73b2cbe7984225476cac","schema_version":"1.0","event_id":"sha256:61008aa43c9758c6e47cd472eb7a8575828fe67a462c73b2cbe7984225476cac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OKZK2ZHYCGFP4PWUCBLVPX2HU7/bundle.json","state_url":"https://pith.science/pith/OKZK2ZHYCGFP4PWUCBLVPX2HU7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OKZK2ZHYCGFP4PWUCBLVPX2HU7/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":"2026-08-10T23:48:27Z","links":{"resolver":"https://pith.science/pith/OKZK2ZHYCGFP4PWUCBLVPX2HU7","bundle":"https://pith.science/pith/OKZK2ZHYCGFP4PWUCBLVPX2HU7/bundle.json","state":"https://pith.science/pith/OKZK2ZHYCGFP4PWUCBLVPX2HU7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OKZK2ZHYCGFP4PWUCBLVPX2HU7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:OKZK2ZHYCGFP4PWUCBLVPX2HU7","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":"a5bb42953e546aa78fc5d42e18a634d1acd6221a6abba644a180dc4b9b8d85ce","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2020-09-23T18:00:20Z","title_canon_sha256":"c78a5d03135a3f828ae99829bcc03980b4fba13565be4ce2d21ab7dbf87a3eb2"},"schema_version":"1.0","source":{"id":"2009.11313","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.11313","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"arxiv_version","alias_value":"2009.11313v3","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.11313","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"pith_short_12","alias_value":"OKZK2ZHYCGFP","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"pith_short_16","alias_value":"OKZK2ZHYCGFP4PWU","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"pith_short_8","alias_value":"OKZK2ZHY","created_at":"2026-07-05T02:24:24Z"}],"graph_snapshots":[{"event_id":"sha256:61008aa43c9758c6e47cd472eb7a8575828fe67a462c73b2cbe7984225476cac","target":"graph","created_at":"2026-07-05T02:24:24Z","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/2009.11313/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Resource theories provide a general framework for the characterization of properties of physical systems in quantum mechanics and beyond. Here, we introduce methods for the quantification of resources in general probabilistic theories (GPTs), focusing in particular on the technical issues associated with infinite-dimensional state spaces. We define a universal resource quantifier based on the robustness measure, and show it to admit a direct operational meaning: in any GPT, it quantifies the advantage that a given resource state enables in channel discrimination tasks over all resourceless sta","authors_text":"Bartosz Regula, Giovanni Ferrari, Ludovico Lami, Ryuji Takagi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2020-09-23T18:00:20Z","title":"Framework for resource quantification in infinite-dimensional general probabilistic theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.11313","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":"sha256:49d482fe39ddb36539116de02c0688e9f0511990e9d29351b1deb17d5dfeb5a0","target":"record","created_at":"2026-07-05T02:24:24Z","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":"a5bb42953e546aa78fc5d42e18a634d1acd6221a6abba644a180dc4b9b8d85ce","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2020-09-23T18:00:20Z","title_canon_sha256":"c78a5d03135a3f828ae99829bcc03980b4fba13565be4ce2d21ab7dbf87a3eb2"},"schema_version":"1.0","source":{"id":"2009.11313","kind":"arxiv","version":3}},"canonical_sha256":"72b2ad64f8118afe3ed4105757df47a7dc9ceaea0877ff96c7b3a7ccd078fcb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"72b2ad64f8118afe3ed4105757df47a7dc9ceaea0877ff96c7b3a7ccd078fcb9","first_computed_at":"2026-07-05T02:24:24.485188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:24:24.485188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XViPkk32MMOoCVCs4kVuYy5Xz/c/BNQOuOGjLqqfNQmDcJjW4nSDgpbypdbC7QPhyY/Gqk4Z69BoejWc+a6sAg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:24:24.485619Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.11313","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49d482fe39ddb36539116de02c0688e9f0511990e9d29351b1deb17d5dfeb5a0","sha256:61008aa43c9758c6e47cd472eb7a8575828fe67a462c73b2cbe7984225476cac"],"state_sha256":"61e2f726d73b358652d43dd4e9d84a03f26d1fcacabd653b561ea9d454ee473b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QY3mNb7Keo1Pa0jJAARpiS4swaIzZ+tsNSHGy8XfuhLE4C2a2i6DyUGEHeqzdZuuex/qi1EYRtN+5lTT4PTJDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T23:48:27.453882Z","bundle_sha256":"0f4b5583f2f41af2ce268432624b5c07fdefab98ba846d2300f62fd9c23cb4e4"}}