{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:A37VZ3WGQIEFRERD4HWQYM4AN3","short_pith_number":"pith:A37VZ3WG","canonical_record":{"source":{"id":"2303.03426","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-03-06T19:00:15Z","cross_cats_sorted":[],"title_canon_sha256":"7eeee0c463f1428685598dc50774780d1a2637af8fd23cd6d3ac630b4b0c0341","abstract_canon_sha256":"def260b995eff0ed0600d48538c257e4efae8f025b897dad64dd0995b50020b8"},"schema_version":"1.0"},"canonical_sha256":"06ff5ceec68208589223e1ed0c33806ec635c80aa3eb1f6019ec05a41cf6cfd8","source":{"kind":"arxiv","id":"2303.03426","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.03426","created_at":"2026-07-05T07:01:24Z"},{"alias_kind":"arxiv_version","alias_value":"2303.03426v3","created_at":"2026-07-05T07:01:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.03426","created_at":"2026-07-05T07:01:24Z"},{"alias_kind":"pith_short_12","alias_value":"A37VZ3WGQIEF","created_at":"2026-07-05T07:01:24Z"},{"alias_kind":"pith_short_16","alias_value":"A37VZ3WGQIEFRERD","created_at":"2026-07-05T07:01:24Z"},{"alias_kind":"pith_short_8","alias_value":"A37VZ3WG","created_at":"2026-07-05T07:01:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:A37VZ3WGQIEFRERD4HWQYM4AN3","target":"record","payload":{"canonical_record":{"source":{"id":"2303.03426","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-03-06T19:00:15Z","cross_cats_sorted":[],"title_canon_sha256":"7eeee0c463f1428685598dc50774780d1a2637af8fd23cd6d3ac630b4b0c0341","abstract_canon_sha256":"def260b995eff0ed0600d48538c257e4efae8f025b897dad64dd0995b50020b8"},"schema_version":"1.0"},"canonical_sha256":"06ff5ceec68208589223e1ed0c33806ec635c80aa3eb1f6019ec05a41cf6cfd8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:01:24.503556Z","signature_b64":"W61w1RiSJNtLxHXfWoOVXkpMmQQYoI4R/Dri/BpTQR5kMTX8k+7vKGrAEnvQl7G5llDrafVRLzkJ+5c6rzFKBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06ff5ceec68208589223e1ed0c33806ec635c80aa3eb1f6019ec05a41cf6cfd8","last_reissued_at":"2026-07-05T07:01:24.502897Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:01:24.502897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.03426","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":"2026-07-05T07:01:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kx6bvold1CJEsa9g1tURsocGflVm/DW2RZ5Sx0N2o3LoLEwL3iZ7Dw8QsHvEVKfXjh0LAjm9mQbzU65zdhc2BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T20:49:52.760418Z"},"content_sha256":"42c67ab109f03890ef9711004ae214df1e761d5911ee34092644359e12f7d27e","schema_version":"1.0","event_id":"sha256:42c67ab109f03890ef9711004ae214df1e761d5911ee34092644359e12f7d27e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:A37VZ3WGQIEFRERD4HWQYM4AN3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"State Dependence of Krylov Complexity in $2d$ CFTs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Arnab Kundu, Ritam Sinha, Vinay Malvimat","submitted_at":"2023-03-06T19:00:15Z","abstract_excerpt":"We compute the Krylov Complexity of a light operator $\\mathcal{O}_L$ in an eigenstate of a $2d$ CFT at large central charge $c$. The eigenstate corresponds to a primary operator $\\mathcal{O}_H$ under the state-operator correspondence. We observe that the behaviour of K-complexity is different (either bounded or exponential) depending on whether the scaling dimension of $\\mathcal{O}_H$ is below or above the critical dimension $h_H=c/24$, marked by the $1st$ order Hawking-Page phase transition point in the dual $AdS_3$ geometry. Based on this feature, we hypothesize that the notions of operator "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.03426","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/2303.03426/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":"2026-07-05T07:01:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tFK5sVfOlCzqrGFEzjWqQU3rGZuj6DGdSCVHvMnzGi5QnJpgnZUWJsDRcKDh5nTRqx9s8IggtbjoUumuuvy4DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T20:49:52.760935Z"},"content_sha256":"58c2397bde69f2c7b45b3d1baaefb9bf304354bf165883e83aaca2c8141ba494","schema_version":"1.0","event_id":"sha256:58c2397bde69f2c7b45b3d1baaefb9bf304354bf165883e83aaca2c8141ba494"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A37VZ3WGQIEFRERD4HWQYM4AN3/bundle.json","state_url":"https://pith.science/pith/A37VZ3WGQIEFRERD4HWQYM4AN3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A37VZ3WGQIEFRERD4HWQYM4AN3/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":"2026-08-20T20:49:52Z","links":{"resolver":"https://pith.science/pith/A37VZ3WGQIEFRERD4HWQYM4AN3","bundle":"https://pith.science/pith/A37VZ3WGQIEFRERD4HWQYM4AN3/bundle.json","state":"https://pith.science/pith/A37VZ3WGQIEFRERD4HWQYM4AN3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A37VZ3WGQIEFRERD4HWQYM4AN3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:A37VZ3WGQIEFRERD4HWQYM4AN3","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":"def260b995eff0ed0600d48538c257e4efae8f025b897dad64dd0995b50020b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-03-06T19:00:15Z","title_canon_sha256":"7eeee0c463f1428685598dc50774780d1a2637af8fd23cd6d3ac630b4b0c0341"},"schema_version":"1.0","source":{"id":"2303.03426","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.03426","created_at":"2026-07-05T07:01:24Z"},{"alias_kind":"arxiv_version","alias_value":"2303.03426v3","created_at":"2026-07-05T07:01:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.03426","created_at":"2026-07-05T07:01:24Z"},{"alias_kind":"pith_short_12","alias_value":"A37VZ3WGQIEF","created_at":"2026-07-05T07:01:24Z"},{"alias_kind":"pith_short_16","alias_value":"A37VZ3WGQIEFRERD","created_at":"2026-07-05T07:01:24Z"},{"alias_kind":"pith_short_8","alias_value":"A37VZ3WG","created_at":"2026-07-05T07:01:24Z"}],"graph_snapshots":[{"event_id":"sha256:58c2397bde69f2c7b45b3d1baaefb9bf304354bf165883e83aaca2c8141ba494","target":"graph","created_at":"2026-07-05T07:01:24Z","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/2303.03426/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the Krylov Complexity of a light operator $\\mathcal{O}_L$ in an eigenstate of a $2d$ CFT at large central charge $c$. The eigenstate corresponds to a primary operator $\\mathcal{O}_H$ under the state-operator correspondence. We observe that the behaviour of K-complexity is different (either bounded or exponential) depending on whether the scaling dimension of $\\mathcal{O}_H$ is below or above the critical dimension $h_H=c/24$, marked by the $1st$ order Hawking-Page phase transition point in the dual $AdS_3$ geometry. Based on this feature, we hypothesize that the notions of operator ","authors_text":"Arnab Kundu, Ritam Sinha, Vinay Malvimat","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-03-06T19:00:15Z","title":"State Dependence of Krylov Complexity in $2d$ CFTs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.03426","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":"sha256:42c67ab109f03890ef9711004ae214df1e761d5911ee34092644359e12f7d27e","target":"record","created_at":"2026-07-05T07:01:24Z","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":"def260b995eff0ed0600d48538c257e4efae8f025b897dad64dd0995b50020b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-03-06T19:00:15Z","title_canon_sha256":"7eeee0c463f1428685598dc50774780d1a2637af8fd23cd6d3ac630b4b0c0341"},"schema_version":"1.0","source":{"id":"2303.03426","kind":"arxiv","version":3}},"canonical_sha256":"06ff5ceec68208589223e1ed0c33806ec635c80aa3eb1f6019ec05a41cf6cfd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06ff5ceec68208589223e1ed0c33806ec635c80aa3eb1f6019ec05a41cf6cfd8","first_computed_at":"2026-07-05T07:01:24.502897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:01:24.502897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W61w1RiSJNtLxHXfWoOVXkpMmQQYoI4R/Dri/BpTQR5kMTX8k+7vKGrAEnvQl7G5llDrafVRLzkJ+5c6rzFKBA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:01:24.503556Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.03426","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42c67ab109f03890ef9711004ae214df1e761d5911ee34092644359e12f7d27e","sha256:58c2397bde69f2c7b45b3d1baaefb9bf304354bf165883e83aaca2c8141ba494"],"state_sha256":"685137a7841bf2e58bf69b25ee059e86bfd24d56f9b637b53a03f213d5d9d5c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"laZGVjO53MyBNDi1BNnoQFyN39Vbw/I2r+zkDjnoMpxpvA+4UigTHiwul+9LkRTvbccu5iOlpu22yH2teCWMCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T20:49:52.765842Z","bundle_sha256":"0cabd4b7ef84e51955a38fba209b2113d728eae0e5356f6ce679b2257515589c"}}