{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:P7OK7KXQG4FOW5SUAUBARBRY4G","short_pith_number":"pith:P7OK7KXQ","canonical_record":{"source":{"id":"2502.07775","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-02-11T18:57:19Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"37bcb94feb59f96a6791b2ef6bfcd995cda1aed3539048753762cc18c3e1a52a","abstract_canon_sha256":"aee1689a8e51795d621ddb5282aa78df36c5d61a7d401d344af12c9a87a95ef5"},"schema_version":"1.0"},"canonical_sha256":"7fdcafaaf0370aeb76540502088638e1bc20ecc61ec2a249bdd4917cdb188bfa","source":{"kind":"arxiv","id":"2502.07775","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.07775","created_at":"2026-07-05T11:31:43Z"},{"alias_kind":"arxiv_version","alias_value":"2502.07775v3","created_at":"2026-07-05T11:31:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.07775","created_at":"2026-07-05T11:31:43Z"},{"alias_kind":"pith_short_12","alias_value":"P7OK7KXQG4FO","created_at":"2026-07-05T11:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"P7OK7KXQG4FOW5SU","created_at":"2026-07-05T11:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"P7OK7KXQ","created_at":"2026-07-05T11:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:P7OK7KXQG4FOW5SUAUBARBRY4G","target":"record","payload":{"canonical_record":{"source":{"id":"2502.07775","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-02-11T18:57:19Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"37bcb94feb59f96a6791b2ef6bfcd995cda1aed3539048753762cc18c3e1a52a","abstract_canon_sha256":"aee1689a8e51795d621ddb5282aa78df36c5d61a7d401d344af12c9a87a95ef5"},"schema_version":"1.0"},"canonical_sha256":"7fdcafaaf0370aeb76540502088638e1bc20ecc61ec2a249bdd4917cdb188bfa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:31:43.152902Z","signature_b64":"SPBbh+XVhF27rGYjgMnWfgKuWK8phvuAGK+rU6nK+5VSbbKEhxeWieXfSlWUOy7lPN1mqv4EQ5Xxt3T86ausAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fdcafaaf0370aeb76540502088638e1bc20ecc61ec2a249bdd4917cdb188bfa","last_reissued_at":"2026-07-05T11:31:43.152368Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:31:43.152368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.07775","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":"2026-07-05T11:31:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LULK25uSRBqgVnaKqCpDJ/PvMcf7BHBDcAbxW4yICWAAqGoO4Q6sf7GAFQxcWj/Dpi7Z0KfkwrtsEeJnDNVkCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:13:21.633546Z"},"content_sha256":"1ffd5a2d7326da12d94551c3bacc44f217d28773f65b39d178eb0fd8efbe1a91","schema_version":"1.0","event_id":"sha256:1ffd5a2d7326da12d94551c3bacc44f217d28773f65b39d178eb0fd8efbe1a91"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:P7OK7KXQG4FOW5SUAUBARBRY4G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correlations and Krylov spread for a non-Hermitian Hamiltonian: Ising chain with a complex-valued transverse magnetic field","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"E. Medina-Guerra, I. V. Gornyi, Yuval Gefen","submitted_at":"2025-02-11T18:57:19Z","abstract_excerpt":"Krylov complexity measures the spread of an evolved state in a natural basis, induced by the generator of the dynamics and the initial state. Here, we study the spread in Hilbert space of the state of an Ising chain subject to a complex-valued transverse magnetic field, initialized in a trivial product state with all spins pointing down. We demonstrate that Krylov spread reveals structural features of many-body systems that remain hidden in correlation functions that are traditionally employed to determine the phase diagram. When the imaginary part of the spectrum of the non-Hermitian Hamilton"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.07775","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/2502.07775/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":"2026-07-05T11:31:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NdeRxVgGGKJg50LHb7NqPgKz67sD5MToqQxGLBqvL6usE3JA45VZopRVmDo7XuRQT5dH/afSr+OmVrnyF9vlCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:13:21.634063Z"},"content_sha256":"4ec55fde0da6dca9374ae147f1e2862792fde3da5d9a1e111f4daa0ce505d2fc","schema_version":"1.0","event_id":"sha256:4ec55fde0da6dca9374ae147f1e2862792fde3da5d9a1e111f4daa0ce505d2fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P7OK7KXQG4FOW5SUAUBARBRY4G/bundle.json","state_url":"https://pith.science/pith/P7OK7KXQG4FOW5SUAUBARBRY4G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P7OK7KXQG4FOW5SUAUBARBRY4G/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":"2026-08-09T20:13:21Z","links":{"resolver":"https://pith.science/pith/P7OK7KXQG4FOW5SUAUBARBRY4G","bundle":"https://pith.science/pith/P7OK7KXQG4FOW5SUAUBARBRY4G/bundle.json","state":"https://pith.science/pith/P7OK7KXQG4FOW5SUAUBARBRY4G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P7OK7KXQG4FOW5SUAUBARBRY4G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:P7OK7KXQG4FOW5SUAUBARBRY4G","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":"aee1689a8e51795d621ddb5282aa78df36c5d61a7d401d344af12c9a87a95ef5","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech","cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-02-11T18:57:19Z","title_canon_sha256":"37bcb94feb59f96a6791b2ef6bfcd995cda1aed3539048753762cc18c3e1a52a"},"schema_version":"1.0","source":{"id":"2502.07775","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.07775","created_at":"2026-07-05T11:31:43Z"},{"alias_kind":"arxiv_version","alias_value":"2502.07775v3","created_at":"2026-07-05T11:31:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.07775","created_at":"2026-07-05T11:31:43Z"},{"alias_kind":"pith_short_12","alias_value":"P7OK7KXQG4FO","created_at":"2026-07-05T11:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"P7OK7KXQG4FOW5SU","created_at":"2026-07-05T11:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"P7OK7KXQ","created_at":"2026-07-05T11:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:4ec55fde0da6dca9374ae147f1e2862792fde3da5d9a1e111f4daa0ce505d2fc","target":"graph","created_at":"2026-07-05T11:31:43Z","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/2502.07775/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Krylov complexity measures the spread of an evolved state in a natural basis, induced by the generator of the dynamics and the initial state. Here, we study the spread in Hilbert space of the state of an Ising chain subject to a complex-valued transverse magnetic field, initialized in a trivial product state with all spins pointing down. We demonstrate that Krylov spread reveals structural features of many-body systems that remain hidden in correlation functions that are traditionally employed to determine the phase diagram. When the imaginary part of the spectrum of the non-Hermitian Hamilton","authors_text":"E. Medina-Guerra, I. V. Gornyi, Yuval Gefen","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech","cond-mat.str-el"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-02-11T18:57:19Z","title":"Correlations and Krylov spread for a non-Hermitian Hamiltonian: Ising chain with a complex-valued transverse magnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.07775","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":"sha256:1ffd5a2d7326da12d94551c3bacc44f217d28773f65b39d178eb0fd8efbe1a91","target":"record","created_at":"2026-07-05T11:31:43Z","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":"aee1689a8e51795d621ddb5282aa78df36c5d61a7d401d344af12c9a87a95ef5","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech","cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-02-11T18:57:19Z","title_canon_sha256":"37bcb94feb59f96a6791b2ef6bfcd995cda1aed3539048753762cc18c3e1a52a"},"schema_version":"1.0","source":{"id":"2502.07775","kind":"arxiv","version":3}},"canonical_sha256":"7fdcafaaf0370aeb76540502088638e1bc20ecc61ec2a249bdd4917cdb188bfa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fdcafaaf0370aeb76540502088638e1bc20ecc61ec2a249bdd4917cdb188bfa","first_computed_at":"2026-07-05T11:31:43.152368Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:31:43.152368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SPBbh+XVhF27rGYjgMnWfgKuWK8phvuAGK+rU6nK+5VSbbKEhxeWieXfSlWUOy7lPN1mqv4EQ5Xxt3T86ausAg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:31:43.152902Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.07775","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ffd5a2d7326da12d94551c3bacc44f217d28773f65b39d178eb0fd8efbe1a91","sha256:4ec55fde0da6dca9374ae147f1e2862792fde3da5d9a1e111f4daa0ce505d2fc"],"state_sha256":"50927f8c4a725f90cad306bea618346ca0178bc3c2b3e72911a739b3d31f2d20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b8xij2W25DKohzi/O/fGn1qeWJ5RTYBgc2JTTKTotO71/iaLs6Ifkq4cfREz342dI1mnjcqVj2q15N43Q1K/BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T20:13:21.639209Z","bundle_sha256":"a0b8529099212f9dbce9b64a717290f35fca8dfe2716f08fdfa3576824bd0201"}}