{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:X45OWHCYHJPOBAVF2KXGVZ7J32","short_pith_number":"pith:X45OWHCY","canonical_record":{"source":{"id":"2509.08078","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-09-09T18:33:00Z","cross_cats_sorted":[],"title_canon_sha256":"de005c293e214b4d91f9ca034b87752214707a5d0f1ea22cf5fb56d01648eada","abstract_canon_sha256":"7de50a690cdbc940bc813965bf22ada13922778647014d100eefbfb661be4fd6"},"schema_version":"1.0"},"canonical_sha256":"bf3aeb1c583a5ee082a5d2ae6ae7e9deaa032c00613c52e1b99f4210ce8c291b","source":{"kind":"arxiv","id":"2509.08078","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.08078","created_at":"2026-07-05T12:08:21Z"},{"alias_kind":"arxiv_version","alias_value":"2509.08078v1","created_at":"2026-07-05T12:08:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.08078","created_at":"2026-07-05T12:08:21Z"},{"alias_kind":"pith_short_12","alias_value":"X45OWHCYHJPO","created_at":"2026-07-05T12:08:21Z"},{"alias_kind":"pith_short_16","alias_value":"X45OWHCYHJPOBAVF","created_at":"2026-07-05T12:08:21Z"},{"alias_kind":"pith_short_8","alias_value":"X45OWHCY","created_at":"2026-07-05T12:08:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:X45OWHCYHJPOBAVF2KXGVZ7J32","target":"record","payload":{"canonical_record":{"source":{"id":"2509.08078","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-09-09T18:33:00Z","cross_cats_sorted":[],"title_canon_sha256":"de005c293e214b4d91f9ca034b87752214707a5d0f1ea22cf5fb56d01648eada","abstract_canon_sha256":"7de50a690cdbc940bc813965bf22ada13922778647014d100eefbfb661be4fd6"},"schema_version":"1.0"},"canonical_sha256":"bf3aeb1c583a5ee082a5d2ae6ae7e9deaa032c00613c52e1b99f4210ce8c291b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:08:21.876649Z","signature_b64":"cR56A66Yfdb+CBGFRsFuKx5G7acyMsxM5rRR9OKWXHIGWBXxl+V5wp8KlfytgGlB0eZDg6bJCkTVovEUgSNMBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf3aeb1c583a5ee082a5d2ae6ae7e9deaa032c00613c52e1b99f4210ce8c291b","last_reissued_at":"2026-07-05T12:08:21.876136Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:08:21.876136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2509.08078","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":"2026-07-05T12:08:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2XR/iuAeaXlaBD2P1YKNSBHLspyAL58EGVazyMj5frtRcwqRL3WQc9mNsl0yH2923ceBUrfXaoxj8ysSZnmNDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T05:12:26.614362Z"},"content_sha256":"3aa26abb740d4be879dc8cd44995ab93d4a8bc39f3c6945537c4b5a42fa23e9b","schema_version":"1.0","event_id":"sha256:3aa26abb740d4be879dc8cd44995ab93d4a8bc39f3c6945537c4b5a42fa23e9b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:X45OWHCYHJPOBAVF2KXGVZ7J32","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"(A)Symmetric Complexity and the Quantum Mpemba Effect","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cameron Beetar, Hendrik J.R. Van Zyl, Jeff Murugan","submitted_at":"2025-09-09T18:33:00Z","abstract_excerpt":"The Quantum Mpemba Effect (QME) -- the counter-intuitive phenomenon where states further from equilibrium can relax faster than those closer to it -- challenges standard expectations of quantum thermalization. In this work, we introduce Krylov complexity as a sensitive diagnostic for the QME. We show that Krylov spread complexity encodes the asymmetry essential to the effect, and we define a new class of projective (a)symmetric complexities that sharpen this connection. Strikingly, the structure of these projective complexities at the initial moment ($t=0$) already carries predictive power for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.08078","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/2509.08078/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":"2026-07-05T12:08:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9SdvVCBeTbSv1Chn0iRYj/ty1oD7zUtQVPzL0LspG26L8DlWd1QBrudPfVxiA+bftD8avDNtu+5ICzaZCUzDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T05:12:26.614880Z"},"content_sha256":"e8f4997a4c24f06a0c5fc3125da103bf6c1207dd20c439a0bc5e7fb04773c263","schema_version":"1.0","event_id":"sha256:e8f4997a4c24f06a0c5fc3125da103bf6c1207dd20c439a0bc5e7fb04773c263"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X45OWHCYHJPOBAVF2KXGVZ7J32/bundle.json","state_url":"https://pith.science/pith/X45OWHCYHJPOBAVF2KXGVZ7J32/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X45OWHCYHJPOBAVF2KXGVZ7J32/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":"2026-08-08T05:12:26Z","links":{"resolver":"https://pith.science/pith/X45OWHCYHJPOBAVF2KXGVZ7J32","bundle":"https://pith.science/pith/X45OWHCYHJPOBAVF2KXGVZ7J32/bundle.json","state":"https://pith.science/pith/X45OWHCYHJPOBAVF2KXGVZ7J32/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X45OWHCYHJPOBAVF2KXGVZ7J32/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:X45OWHCYHJPOBAVF2KXGVZ7J32","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":"7de50a690cdbc940bc813965bf22ada13922778647014d100eefbfb661be4fd6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-09-09T18:33:00Z","title_canon_sha256":"de005c293e214b4d91f9ca034b87752214707a5d0f1ea22cf5fb56d01648eada"},"schema_version":"1.0","source":{"id":"2509.08078","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.08078","created_at":"2026-07-05T12:08:21Z"},{"alias_kind":"arxiv_version","alias_value":"2509.08078v1","created_at":"2026-07-05T12:08:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.08078","created_at":"2026-07-05T12:08:21Z"},{"alias_kind":"pith_short_12","alias_value":"X45OWHCYHJPO","created_at":"2026-07-05T12:08:21Z"},{"alias_kind":"pith_short_16","alias_value":"X45OWHCYHJPOBAVF","created_at":"2026-07-05T12:08:21Z"},{"alias_kind":"pith_short_8","alias_value":"X45OWHCY","created_at":"2026-07-05T12:08:21Z"}],"graph_snapshots":[{"event_id":"sha256:e8f4997a4c24f06a0c5fc3125da103bf6c1207dd20c439a0bc5e7fb04773c263","target":"graph","created_at":"2026-07-05T12:08:21Z","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/2509.08078/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Quantum Mpemba Effect (QME) -- the counter-intuitive phenomenon where states further from equilibrium can relax faster than those closer to it -- challenges standard expectations of quantum thermalization. In this work, we introduce Krylov complexity as a sensitive diagnostic for the QME. We show that Krylov spread complexity encodes the asymmetry essential to the effect, and we define a new class of projective (a)symmetric complexities that sharpen this connection. Strikingly, the structure of these projective complexities at the initial moment ($t=0$) already carries predictive power for","authors_text":"Cameron Beetar, Hendrik J.R. Van Zyl, Jeff Murugan","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-09-09T18:33:00Z","title":"(A)Symmetric Complexity and the Quantum Mpemba Effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.08078","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":"sha256:3aa26abb740d4be879dc8cd44995ab93d4a8bc39f3c6945537c4b5a42fa23e9b","target":"record","created_at":"2026-07-05T12:08:21Z","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":"7de50a690cdbc940bc813965bf22ada13922778647014d100eefbfb661be4fd6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-09-09T18:33:00Z","title_canon_sha256":"de005c293e214b4d91f9ca034b87752214707a5d0f1ea22cf5fb56d01648eada"},"schema_version":"1.0","source":{"id":"2509.08078","kind":"arxiv","version":1}},"canonical_sha256":"bf3aeb1c583a5ee082a5d2ae6ae7e9deaa032c00613c52e1b99f4210ce8c291b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf3aeb1c583a5ee082a5d2ae6ae7e9deaa032c00613c52e1b99f4210ce8c291b","first_computed_at":"2026-07-05T12:08:21.876136Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:08:21.876136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cR56A66Yfdb+CBGFRsFuKx5G7acyMsxM5rRR9OKWXHIGWBXxl+V5wp8KlfytgGlB0eZDg6bJCkTVovEUgSNMBA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:08:21.876649Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.08078","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3aa26abb740d4be879dc8cd44995ab93d4a8bc39f3c6945537c4b5a42fa23e9b","sha256:e8f4997a4c24f06a0c5fc3125da103bf6c1207dd20c439a0bc5e7fb04773c263"],"state_sha256":"b10207832bcc323f96243b04718eac6e796a32ba4f81db0cdefc926a1dde91dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gybnet8floK2On1UZK3i0K8vucWY/4pdVm4OhfEjKkeLlb8nyebE2tTMPtcDh8k1QmDwO+jIacZivP8lULg6Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T05:12:26.620634Z","bundle_sha256":"8e814de6971d5da8d611be1c5c4f5cfa5da0b216ee40655bb6880c994c0d236f"}}