{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:TLJDUFUHQXP6RDMEAQH23PLGQ6","short_pith_number":"pith:TLJDUFUH","canonical_record":{"source":{"id":"2407.02756","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-03T02:15:30Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3c619231ebcfb79552a6a9fbcd2ef0bf10cf5eae6c1075918186a9da39b35ebb","abstract_canon_sha256":"6ebdb633c27a3b0558727790169c8cbbc7ea0a9a5c92768874aeac47443932c5"},"schema_version":"1.0"},"canonical_sha256":"9ad23a168785dfe88d84040fadbd6687a6fd0ad3312606c6d8e057987b2cffe1","source":{"kind":"arxiv","id":"2407.02756","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.02756","created_at":"2026-07-05T09:35:11Z"},{"alias_kind":"arxiv_version","alias_value":"2407.02756v2","created_at":"2026-07-05T09:35:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.02756","created_at":"2026-07-05T09:35:11Z"},{"alias_kind":"pith_short_12","alias_value":"TLJDUFUHQXP6","created_at":"2026-07-05T09:35:11Z"},{"alias_kind":"pith_short_16","alias_value":"TLJDUFUHQXP6RDME","created_at":"2026-07-05T09:35:11Z"},{"alias_kind":"pith_short_8","alias_value":"TLJDUFUH","created_at":"2026-07-05T09:35:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:TLJDUFUHQXP6RDMEAQH23PLGQ6","target":"record","payload":{"canonical_record":{"source":{"id":"2407.02756","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-03T02:15:30Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3c619231ebcfb79552a6a9fbcd2ef0bf10cf5eae6c1075918186a9da39b35ebb","abstract_canon_sha256":"6ebdb633c27a3b0558727790169c8cbbc7ea0a9a5c92768874aeac47443932c5"},"schema_version":"1.0"},"canonical_sha256":"9ad23a168785dfe88d84040fadbd6687a6fd0ad3312606c6d8e057987b2cffe1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:35:11.082729Z","signature_b64":"uMpWAHJsrXDUxk98C+72VEsqvzrJVNwbq+6aOs/SFYmX3cpUrTD3syM/Ct+JIcJPPNTuVqr3TMhLf0a3CMhfDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ad23a168785dfe88d84040fadbd6687a6fd0ad3312606c6d8e057987b2cffe1","last_reissued_at":"2026-07-05T09:35:11.082271Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:35:11.082271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.02756","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:35:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l7+1dWTqr0yL4feUIojyozFJ7sHSEBRhimqwV8m4KhLeEnMvcTB6YaBuYRftl7FBMhSJtzaFq+2l/Z/d4mlSCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T12:04:58.291553Z"},"content_sha256":"ec2d43198b3bed4ec03b87593518092327626430bb588caf133bf268e43f3977","schema_version":"1.0","event_id":"sha256:ec2d43198b3bed4ec03b87593518092327626430bb588caf133bf268e43f3977"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:TLJDUFUHQXP6RDMEAQH23PLGQ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Probing Krylov Complexity in Scalar Field Theory with General Temperatures","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-th","authors_text":"Hai-Qing Zhang, Peng-Zhang He","submitted_at":"2024-07-03T02:15:30Z","abstract_excerpt":"Krylov complexity characterizes the operator growth in the quantum many-body systems or quantum field theories. The existing literatures have studied the Krylov complexity in the low temperature limit in the quantum field theories. In this paper, we extend and systematically study the Krylov complexity and Krylov entropy in a scalar field theory with general temperatures. To this end, we propose a new method to calculate the Wightman power spectrum which allows us to compute the Lanczos coefficients and subsequently to study the Krylov complexity (entropy) in general temperatures. We find that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.02756","kind":"arxiv","version":2},"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/2407.02756/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":"2026-07-05T09:35:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EnDSR73rKd2N70H4qcdzwvUjISiO5uTahBtglu9qcpI43y4zUMBj4HOWZRaQmFL6jvlh+6HCS2UY2ZStfCoLBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T12:04:58.292060Z"},"content_sha256":"45f07ba40d8ff6bde2307d70dcc41e6d8845ee22c517a62ccdaedf8fb407cfa3","schema_version":"1.0","event_id":"sha256:45f07ba40d8ff6bde2307d70dcc41e6d8845ee22c517a62ccdaedf8fb407cfa3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TLJDUFUHQXP6RDMEAQH23PLGQ6/bundle.json","state_url":"https://pith.science/pith/TLJDUFUHQXP6RDMEAQH23PLGQ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TLJDUFUHQXP6RDMEAQH23PLGQ6/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":"2026-08-14T12:04:58Z","links":{"resolver":"https://pith.science/pith/TLJDUFUHQXP6RDMEAQH23PLGQ6","bundle":"https://pith.science/pith/TLJDUFUHQXP6RDMEAQH23PLGQ6/bundle.json","state":"https://pith.science/pith/TLJDUFUHQXP6RDMEAQH23PLGQ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TLJDUFUHQXP6RDMEAQH23PLGQ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:TLJDUFUHQXP6RDMEAQH23PLGQ6","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":"6ebdb633c27a3b0558727790169c8cbbc7ea0a9a5c92768874aeac47443932c5","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-03T02:15:30Z","title_canon_sha256":"3c619231ebcfb79552a6a9fbcd2ef0bf10cf5eae6c1075918186a9da39b35ebb"},"schema_version":"1.0","source":{"id":"2407.02756","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.02756","created_at":"2026-07-05T09:35:11Z"},{"alias_kind":"arxiv_version","alias_value":"2407.02756v2","created_at":"2026-07-05T09:35:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.02756","created_at":"2026-07-05T09:35:11Z"},{"alias_kind":"pith_short_12","alias_value":"TLJDUFUHQXP6","created_at":"2026-07-05T09:35:11Z"},{"alias_kind":"pith_short_16","alias_value":"TLJDUFUHQXP6RDME","created_at":"2026-07-05T09:35:11Z"},{"alias_kind":"pith_short_8","alias_value":"TLJDUFUH","created_at":"2026-07-05T09:35:11Z"}],"graph_snapshots":[{"event_id":"sha256:45f07ba40d8ff6bde2307d70dcc41e6d8845ee22c517a62ccdaedf8fb407cfa3","target":"graph","created_at":"2026-07-05T09:35:11Z","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/2407.02756/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Krylov complexity characterizes the operator growth in the quantum many-body systems or quantum field theories. The existing literatures have studied the Krylov complexity in the low temperature limit in the quantum field theories. In this paper, we extend and systematically study the Krylov complexity and Krylov entropy in a scalar field theory with general temperatures. To this end, we propose a new method to calculate the Wightman power spectrum which allows us to compute the Lanczos coefficients and subsequently to study the Krylov complexity (entropy) in general temperatures. We find that","authors_text":"Hai-Qing Zhang, Peng-Zhang He","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-03T02:15:30Z","title":"Probing Krylov Complexity in Scalar Field Theory with General Temperatures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.02756","kind":"arxiv","version":2},"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:ec2d43198b3bed4ec03b87593518092327626430bb588caf133bf268e43f3977","target":"record","created_at":"2026-07-05T09:35:11Z","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":"6ebdb633c27a3b0558727790169c8cbbc7ea0a9a5c92768874aeac47443932c5","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-03T02:15:30Z","title_canon_sha256":"3c619231ebcfb79552a6a9fbcd2ef0bf10cf5eae6c1075918186a9da39b35ebb"},"schema_version":"1.0","source":{"id":"2407.02756","kind":"arxiv","version":2}},"canonical_sha256":"9ad23a168785dfe88d84040fadbd6687a6fd0ad3312606c6d8e057987b2cffe1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ad23a168785dfe88d84040fadbd6687a6fd0ad3312606c6d8e057987b2cffe1","first_computed_at":"2026-07-05T09:35:11.082271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:35:11.082271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uMpWAHJsrXDUxk98C+72VEsqvzrJVNwbq+6aOs/SFYmX3cpUrTD3syM/Ct+JIcJPPNTuVqr3TMhLf0a3CMhfDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:35:11.082729Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.02756","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec2d43198b3bed4ec03b87593518092327626430bb588caf133bf268e43f3977","sha256:45f07ba40d8ff6bde2307d70dcc41e6d8845ee22c517a62ccdaedf8fb407cfa3"],"state_sha256":"68efce4aa9881067a74f5824d259f7e068a39161e28a752ae62d9d760740f7b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mFQEE+wNDA3kG3LMQE6zXnn73F9faN1kza8jduBafayEv+BYheqpSUxaksufevZKtKsBFFxatuDy1hTEyLrqBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T12:04:58.296469Z","bundle_sha256":"1c78d471290c1b52e4d1f8cec9106cf7176d6774e6d3bf1efff6bf13a065c569"}}