{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:D5PN4EDFRZJBOVQXJBMJEDPFTT","short_pith_number":"pith:D5PN4EDF","canonical_record":{"source":{"id":"2311.09292","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-11-15T19:00:01Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP","nlin.CD"],"title_canon_sha256":"593af6c77133c929c116c7a3084aeab3b1e39118c13f665ad8c152d2088f1bdc","abstract_canon_sha256":"2ed7bac3670c9d565a5b292fe7e02066ecb3878e252dd381aecd06faa8c3f6aa"},"schema_version":"1.0"},"canonical_sha256":"1f5ede10658e521756174858920de59cc606de82bba4a0aceea37dcb5394df0e","source":{"kind":"arxiv","id":"2311.09292","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.09292","created_at":"2026-07-05T10:56:04Z"},{"alias_kind":"arxiv_version","alias_value":"2311.09292v3","created_at":"2026-07-05T10:56:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.09292","created_at":"2026-07-05T10:56:04Z"},{"alias_kind":"pith_short_12","alias_value":"D5PN4EDFRZJB","created_at":"2026-07-05T10:56:04Z"},{"alias_kind":"pith_short_16","alias_value":"D5PN4EDFRZJBOVQX","created_at":"2026-07-05T10:56:04Z"},{"alias_kind":"pith_short_8","alias_value":"D5PN4EDF","created_at":"2026-07-05T10:56:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:D5PN4EDFRZJBOVQXJBMJEDPFTT","target":"record","payload":{"canonical_record":{"source":{"id":"2311.09292","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-11-15T19:00:01Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP","nlin.CD"],"title_canon_sha256":"593af6c77133c929c116c7a3084aeab3b1e39118c13f665ad8c152d2088f1bdc","abstract_canon_sha256":"2ed7bac3670c9d565a5b292fe7e02066ecb3878e252dd381aecd06faa8c3f6aa"},"schema_version":"1.0"},"canonical_sha256":"1f5ede10658e521756174858920de59cc606de82bba4a0aceea37dcb5394df0e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:56:04.639078Z","signature_b64":"vTnniAqS1ry9PLqsJGlvpfKJ9fE+u+M0W5FbptwdLiYNgmsu8+TS5JlO5Io7iqTxphsmwAwyL+Uw8bYJAEJfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f5ede10658e521756174858920de59cc606de82bba4a0aceea37dcb5394df0e","last_reissued_at":"2026-07-05T10:56:04.638608Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:56:04.638608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.09292","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":"2026-07-05T10:56:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tcu/NyWBhBCba0+89LMljUcaQebqDcR46oNSaRZ3u/9A/KZRwDtQYszLAjWI/8finKib3KhN6WcVVg3D5eAOAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T17:02:19.964260Z"},"content_sha256":"f03d51970aa9b762e6c884a7cee869ca2e84a10620c8c2b050f03ee6b8200e69","schema_version":"1.0","event_id":"sha256:f03d51970aa9b762e6c884a7cee869ca2e84a10620c8c2b050f03ee6b8200e69"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:D5PN4EDFRZJBOVQXJBMJEDPFTT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decomposing the Spectral Form Factor","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP","nlin.CD"],"primary_cat":"quant-ph","authors_text":"Aur\\'elia Chenu, Pablo Martinez-Azcona, Ruth Shir","submitted_at":"2023-11-15T19:00:01Z","abstract_excerpt":"Correlations between the energies of a system's spectrum are one of the defining features of quantum chaos. They can be probed using the Spectral Form Factor (SFF). We investigate how each spectral distance contributes in building this two-point correlation function. Specifically, starting from the spectral distribution of $k$-th neighbor level spacing ($k$nLS), we provide analytical expressions for the $k$-th neighbor Spectral Form Factor ($k$nSFF). We do so for the three Gaussian Random Matrix ensembles and the `Poissonian' ensemble of uncorrelated energy levels. We study the properties of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.09292","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/2311.09292/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":"2026-07-05T10:56:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I1I+HghICVtIStYRjqkxejno8JXHA463aapBF3nfY3H//MU2CTCv+6ZcE9JT+lqjLVmZXV9qvINJKz+WNfc1DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T17:02:19.964912Z"},"content_sha256":"a60fdb36de51d84fe3c60ba93dcd369909a1f434d12b2d0402050a9bd04ecfa5","schema_version":"1.0","event_id":"sha256:a60fdb36de51d84fe3c60ba93dcd369909a1f434d12b2d0402050a9bd04ecfa5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D5PN4EDFRZJBOVQXJBMJEDPFTT/bundle.json","state_url":"https://pith.science/pith/D5PN4EDFRZJBOVQXJBMJEDPFTT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D5PN4EDFRZJBOVQXJBMJEDPFTT/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":"2026-08-16T17:02:19Z","links":{"resolver":"https://pith.science/pith/D5PN4EDFRZJBOVQXJBMJEDPFTT","bundle":"https://pith.science/pith/D5PN4EDFRZJBOVQXJBMJEDPFTT/bundle.json","state":"https://pith.science/pith/D5PN4EDFRZJBOVQXJBMJEDPFTT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D5PN4EDFRZJBOVQXJBMJEDPFTT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:D5PN4EDFRZJBOVQXJBMJEDPFTT","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":"2ed7bac3670c9d565a5b292fe7e02066ecb3878e252dd381aecd06faa8c3f6aa","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP","nlin.CD"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-11-15T19:00:01Z","title_canon_sha256":"593af6c77133c929c116c7a3084aeab3b1e39118c13f665ad8c152d2088f1bdc"},"schema_version":"1.0","source":{"id":"2311.09292","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.09292","created_at":"2026-07-05T10:56:04Z"},{"alias_kind":"arxiv_version","alias_value":"2311.09292v3","created_at":"2026-07-05T10:56:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.09292","created_at":"2026-07-05T10:56:04Z"},{"alias_kind":"pith_short_12","alias_value":"D5PN4EDFRZJB","created_at":"2026-07-05T10:56:04Z"},{"alias_kind":"pith_short_16","alias_value":"D5PN4EDFRZJBOVQX","created_at":"2026-07-05T10:56:04Z"},{"alias_kind":"pith_short_8","alias_value":"D5PN4EDF","created_at":"2026-07-05T10:56:04Z"}],"graph_snapshots":[{"event_id":"sha256:a60fdb36de51d84fe3c60ba93dcd369909a1f434d12b2d0402050a9bd04ecfa5","target":"graph","created_at":"2026-07-05T10:56:04Z","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/2311.09292/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Correlations between the energies of a system's spectrum are one of the defining features of quantum chaos. They can be probed using the Spectral Form Factor (SFF). We investigate how each spectral distance contributes in building this two-point correlation function. Specifically, starting from the spectral distribution of $k$-th neighbor level spacing ($k$nLS), we provide analytical expressions for the $k$-th neighbor Spectral Form Factor ($k$nSFF). We do so for the three Gaussian Random Matrix ensembles and the `Poissonian' ensemble of uncorrelated energy levels. We study the properties of t","authors_text":"Aur\\'elia Chenu, Pablo Martinez-Azcona, Ruth Shir","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP","nlin.CD"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-11-15T19:00:01Z","title":"Decomposing the Spectral Form Factor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.09292","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:f03d51970aa9b762e6c884a7cee869ca2e84a10620c8c2b050f03ee6b8200e69","target":"record","created_at":"2026-07-05T10:56:04Z","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":"2ed7bac3670c9d565a5b292fe7e02066ecb3878e252dd381aecd06faa8c3f6aa","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP","nlin.CD"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-11-15T19:00:01Z","title_canon_sha256":"593af6c77133c929c116c7a3084aeab3b1e39118c13f665ad8c152d2088f1bdc"},"schema_version":"1.0","source":{"id":"2311.09292","kind":"arxiv","version":3}},"canonical_sha256":"1f5ede10658e521756174858920de59cc606de82bba4a0aceea37dcb5394df0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f5ede10658e521756174858920de59cc606de82bba4a0aceea37dcb5394df0e","first_computed_at":"2026-07-05T10:56:04.638608Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:56:04.638608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vTnniAqS1ry9PLqsJGlvpfKJ9fE+u+M0W5FbptwdLiYNgmsu8+TS5JlO5Io7iqTxphsmwAwyL+Uw8bYJAEJfBA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:56:04.639078Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.09292","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f03d51970aa9b762e6c884a7cee869ca2e84a10620c8c2b050f03ee6b8200e69","sha256:a60fdb36de51d84fe3c60ba93dcd369909a1f434d12b2d0402050a9bd04ecfa5"],"state_sha256":"225bea36d5fd3ff2ae7dd30f736a7210d8d3a3eacf68772052ca827ebe43f618"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OtWP6uyqe6ElqzGsfSwJx6AolFKQnYbp3rmSXg9TQwghr+il7z52OKm3hH87xN2DmTo2mebWJgXaCnaRH90FBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T17:02:19.969362Z","bundle_sha256":"5d58ed0fa1955a18c5d18a7a504f2dd211132f6fdc0cceef2cc1152d8d75e5f4"}}