{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:TQ35NZUR3MIH7OL7DIPN2EGPNC","short_pith_number":"pith:TQ35NZUR","canonical_record":{"source":{"id":"2409.18570","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-09-27T09:13:55Z","cross_cats_sorted":[],"title_canon_sha256":"0226643dd7c49a8c3cc1cc71646665136acc730ae638d9f07484c87e25e4e507","abstract_canon_sha256":"b04b326bd4137e09e90c797ee8aa4ef2c931b1476ee7774f228f0df65ad5d397"},"schema_version":"1.0"},"canonical_sha256":"9c37d6e691db107fb97f1a1edd10cf68beeb4b400de59289be99fb4b884d0cfd","source":{"kind":"arxiv","id":"2409.18570","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.18570","created_at":"2026-07-05T09:12:37Z"},{"alias_kind":"arxiv_version","alias_value":"2409.18570v1","created_at":"2026-07-05T09:12:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.18570","created_at":"2026-07-05T09:12:37Z"},{"alias_kind":"pith_short_12","alias_value":"TQ35NZUR3MIH","created_at":"2026-07-05T09:12:37Z"},{"alias_kind":"pith_short_16","alias_value":"TQ35NZUR3MIH7OL7","created_at":"2026-07-05T09:12:37Z"},{"alias_kind":"pith_short_8","alias_value":"TQ35NZUR","created_at":"2026-07-05T09:12:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:TQ35NZUR3MIH7OL7DIPN2EGPNC","target":"record","payload":{"canonical_record":{"source":{"id":"2409.18570","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-09-27T09:13:55Z","cross_cats_sorted":[],"title_canon_sha256":"0226643dd7c49a8c3cc1cc71646665136acc730ae638d9f07484c87e25e4e507","abstract_canon_sha256":"b04b326bd4137e09e90c797ee8aa4ef2c931b1476ee7774f228f0df65ad5d397"},"schema_version":"1.0"},"canonical_sha256":"9c37d6e691db107fb97f1a1edd10cf68beeb4b400de59289be99fb4b884d0cfd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:12:37.721449Z","signature_b64":"e0MfKan+s8peOcM2juDCQIjTe+Up2878i+lnoekBOkdMyeY6bqgWUvXbLkLhy/l3xxp6WdHaVz5Mqu2AAT3qDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c37d6e691db107fb97f1a1edd10cf68beeb4b400de59289be99fb4b884d0cfd","last_reissued_at":"2026-07-05T09:12:37.720923Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:12:37.720923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.18570","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":"2026-07-05T09:12:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"In6I1Qf43Q2lpm9GodEtSSDlZNI1oo9P1eFM0DEx6924cORUKieRqD3Pw4NkP7o0AiCerdv5u/KdC9es4LDwDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T08:23:29.072918Z"},"content_sha256":"f112308522f43a3ef6ab94bc62dc98d12acdb98daffacbe01d9b84ab7fb53130","schema_version":"1.0","event_id":"sha256:f112308522f43a3ef6ab94bc62dc98d12acdb98daffacbe01d9b84ab7fb53130"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:TQ35NZUR3MIH7OL7DIPN2EGPNC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A magic monotone for faithful detection of non-stabilizerness in mixed states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Chandrashekar Radhakrishnan, Ernest Dokudowiec, Krzysztof Warmuz, Tim Byrnes","submitted_at":"2024-09-27T09:13:55Z","abstract_excerpt":"We introduce a monotone to quantify the amount of non-stabilizerness (or magic for short), in an arbitrary quantum state. The monotone gives a necessary and sufficient criterion for detecting the presence of magic for both pure and mixed states. The monotone is based on determining the boundaries of the stabilizer polytope in the space of Pauli string expectation values. The boundaries can be described by a set of hyperplane inequations, where violation of any one of these gives a necessary and sufficient condition for magic. The monotone is constructed by finding the hyperplane with the maxim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.18570","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/2409.18570/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":"2026-07-05T09:12:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tt8Twg1JCAiGGs42HGmr6gpCgjM5xABHUBPjT5J9Xo/haa80gzkHBVdSBZUOgBs+x+SDUlYrzp0iGiBGR8lkDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T08:23:29.073535Z"},"content_sha256":"f509b5d4f2d9dcfb3634047d223b9e8cc5abffc5451c7fa2525832fbac531ea4","schema_version":"1.0","event_id":"sha256:f509b5d4f2d9dcfb3634047d223b9e8cc5abffc5451c7fa2525832fbac531ea4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TQ35NZUR3MIH7OL7DIPN2EGPNC/bundle.json","state_url":"https://pith.science/pith/TQ35NZUR3MIH7OL7DIPN2EGPNC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TQ35NZUR3MIH7OL7DIPN2EGPNC/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":"2026-08-14T08:23:29Z","links":{"resolver":"https://pith.science/pith/TQ35NZUR3MIH7OL7DIPN2EGPNC","bundle":"https://pith.science/pith/TQ35NZUR3MIH7OL7DIPN2EGPNC/bundle.json","state":"https://pith.science/pith/TQ35NZUR3MIH7OL7DIPN2EGPNC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TQ35NZUR3MIH7OL7DIPN2EGPNC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:TQ35NZUR3MIH7OL7DIPN2EGPNC","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":"b04b326bd4137e09e90c797ee8aa4ef2c931b1476ee7774f228f0df65ad5d397","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-09-27T09:13:55Z","title_canon_sha256":"0226643dd7c49a8c3cc1cc71646665136acc730ae638d9f07484c87e25e4e507"},"schema_version":"1.0","source":{"id":"2409.18570","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.18570","created_at":"2026-07-05T09:12:37Z"},{"alias_kind":"arxiv_version","alias_value":"2409.18570v1","created_at":"2026-07-05T09:12:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.18570","created_at":"2026-07-05T09:12:37Z"},{"alias_kind":"pith_short_12","alias_value":"TQ35NZUR3MIH","created_at":"2026-07-05T09:12:37Z"},{"alias_kind":"pith_short_16","alias_value":"TQ35NZUR3MIH7OL7","created_at":"2026-07-05T09:12:37Z"},{"alias_kind":"pith_short_8","alias_value":"TQ35NZUR","created_at":"2026-07-05T09:12:37Z"}],"graph_snapshots":[{"event_id":"sha256:f509b5d4f2d9dcfb3634047d223b9e8cc5abffc5451c7fa2525832fbac531ea4","target":"graph","created_at":"2026-07-05T09:12:37Z","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/2409.18570/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a monotone to quantify the amount of non-stabilizerness (or magic for short), in an arbitrary quantum state. The monotone gives a necessary and sufficient criterion for detecting the presence of magic for both pure and mixed states. The monotone is based on determining the boundaries of the stabilizer polytope in the space of Pauli string expectation values. The boundaries can be described by a set of hyperplane inequations, where violation of any one of these gives a necessary and sufficient condition for magic. The monotone is constructed by finding the hyperplane with the maxim","authors_text":"Chandrashekar Radhakrishnan, Ernest Dokudowiec, Krzysztof Warmuz, Tim Byrnes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-09-27T09:13:55Z","title":"A magic monotone for faithful detection of non-stabilizerness in mixed states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.18570","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:f112308522f43a3ef6ab94bc62dc98d12acdb98daffacbe01d9b84ab7fb53130","target":"record","created_at":"2026-07-05T09:12:37Z","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":"b04b326bd4137e09e90c797ee8aa4ef2c931b1476ee7774f228f0df65ad5d397","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-09-27T09:13:55Z","title_canon_sha256":"0226643dd7c49a8c3cc1cc71646665136acc730ae638d9f07484c87e25e4e507"},"schema_version":"1.0","source":{"id":"2409.18570","kind":"arxiv","version":1}},"canonical_sha256":"9c37d6e691db107fb97f1a1edd10cf68beeb4b400de59289be99fb4b884d0cfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c37d6e691db107fb97f1a1edd10cf68beeb4b400de59289be99fb4b884d0cfd","first_computed_at":"2026-07-05T09:12:37.720923Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:12:37.720923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e0MfKan+s8peOcM2juDCQIjTe+Up2878i+lnoekBOkdMyeY6bqgWUvXbLkLhy/l3xxp6WdHaVz5Mqu2AAT3qDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:12:37.721449Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.18570","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f112308522f43a3ef6ab94bc62dc98d12acdb98daffacbe01d9b84ab7fb53130","sha256:f509b5d4f2d9dcfb3634047d223b9e8cc5abffc5451c7fa2525832fbac531ea4"],"state_sha256":"c317afa011452851845a52571e89c128290577c872bbbf9fe29145879a3e923d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I+8oX6JzI6p/q04GgPyUVpiMmovaTRD3kULAip67F7fpCmbpF022hWGv0vNZScr6rNM+xk3RU15rsf/j5sL1CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T08:23:29.078690Z","bundle_sha256":"f7e3162dd5119f2b8078f9980e4de7a4a2fd67346dec91b345696403adce4955"}}