{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:OMYEUDEJRD5H5K4V7VDISSR53K","short_pith_number":"pith:OMYEUDEJ","canonical_record":{"source":{"id":"2403.05241","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-03-08T12:03:12Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c08a59ed5cbd60e4adb06bad3a3a857e1966abe0933ac0c7194458cd2123d6df","abstract_canon_sha256":"a12fbf5bca7cde617053c699d8189f7068acbdda22ab312a69ac7ecf177e130b"},"schema_version":"1.0"},"canonical_sha256":"73304a0c8988fa7eab95fd46894a3dda98c8ed0fa2b0431e1370194965bc63a6","source":{"kind":"arxiv","id":"2403.05241","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.05241","created_at":"2026-07-05T08:27:25Z"},{"alias_kind":"arxiv_version","alias_value":"2403.05241v3","created_at":"2026-07-05T08:27:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.05241","created_at":"2026-07-05T08:27:25Z"},{"alias_kind":"pith_short_12","alias_value":"OMYEUDEJRD5H","created_at":"2026-07-05T08:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"OMYEUDEJRD5H5K4V","created_at":"2026-07-05T08:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"OMYEUDEJ","created_at":"2026-07-05T08:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:OMYEUDEJRD5H5K4V7VDISSR53K","target":"record","payload":{"canonical_record":{"source":{"id":"2403.05241","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-03-08T12:03:12Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c08a59ed5cbd60e4adb06bad3a3a857e1966abe0933ac0c7194458cd2123d6df","abstract_canon_sha256":"a12fbf5bca7cde617053c699d8189f7068acbdda22ab312a69ac7ecf177e130b"},"schema_version":"1.0"},"canonical_sha256":"73304a0c8988fa7eab95fd46894a3dda98c8ed0fa2b0431e1370194965bc63a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:27:25.328766Z","signature_b64":"dIGWSppuTUmATf3DXeE8MWbF9purAClslF95XYtCKcyfNRdmwLLZ6rcohPyYl8eAvowVG8k3UgORmi09HwNFBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73304a0c8988fa7eab95fd46894a3dda98c8ed0fa2b0431e1370194965bc63a6","last_reissued_at":"2026-07-05T08:27:25.328350Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:27:25.328350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.05241","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":"2026-07-05T08:27:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tR6yspvqqELtU00EA2C4cvFqC25DBOEMm2mUucXgzKGISDujaYEuw5VNRBneG4WCRBY7aAlZqnkPVmD7SbzYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T09:28:37.339137Z"},"content_sha256":"b174a479ef6a56c510c659b118b33678c1823f7e09a237918f353910d8f6d909","schema_version":"1.0","event_id":"sha256:b174a479ef6a56c510c659b118b33678c1823f7e09a237918f353910d8f6d909"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:OMYEUDEJRD5H5K4V7VDISSR53K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Black Holes and Marchenko-Pastur Distribution","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Wolfgang M\\\"uck","submitted_at":"2024-03-08T12:03:12Z","abstract_excerpt":"The universal eigenvalue distribution characterizing the Gram matrix of semiclassical ensembles of black hole microstates is recognized as the Marchenko-Pastur distribution, which plays a prominent role as the universal limit distribution in a large class of random matrix and vector models. It is proposed that this distribution also universally determines the energy spectral density of black holes, which allows to construct a Krylov space for the time evolution of typical black hole states and calculate their state complexity. It is checked that the state complexity growth at late times satura"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.05241","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/2403.05241/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":"2026-07-05T08:27:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MHeRZnJbzjnQXWXGqc/7srwfAs40avm4/TUyW2WIUAVfIoBtLFDQAIJJKlTO7PFjvbNFiIBAxaIvn0sTIv7kCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T09:28:37.339647Z"},"content_sha256":"67d8f16f1233605555b34e1e39fb45c93c5c61f51e68d9816f7bcbd1189016b1","schema_version":"1.0","event_id":"sha256:67d8f16f1233605555b34e1e39fb45c93c5c61f51e68d9816f7bcbd1189016b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OMYEUDEJRD5H5K4V7VDISSR53K/bundle.json","state_url":"https://pith.science/pith/OMYEUDEJRD5H5K4V7VDISSR53K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OMYEUDEJRD5H5K4V7VDISSR53K/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":"2026-08-18T09:28:37Z","links":{"resolver":"https://pith.science/pith/OMYEUDEJRD5H5K4V7VDISSR53K","bundle":"https://pith.science/pith/OMYEUDEJRD5H5K4V7VDISSR53K/bundle.json","state":"https://pith.science/pith/OMYEUDEJRD5H5K4V7VDISSR53K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OMYEUDEJRD5H5K4V7VDISSR53K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OMYEUDEJRD5H5K4V7VDISSR53K","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":"a12fbf5bca7cde617053c699d8189f7068acbdda22ab312a69ac7ecf177e130b","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-03-08T12:03:12Z","title_canon_sha256":"c08a59ed5cbd60e4adb06bad3a3a857e1966abe0933ac0c7194458cd2123d6df"},"schema_version":"1.0","source":{"id":"2403.05241","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.05241","created_at":"2026-07-05T08:27:25Z"},{"alias_kind":"arxiv_version","alias_value":"2403.05241v3","created_at":"2026-07-05T08:27:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.05241","created_at":"2026-07-05T08:27:25Z"},{"alias_kind":"pith_short_12","alias_value":"OMYEUDEJRD5H","created_at":"2026-07-05T08:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"OMYEUDEJRD5H5K4V","created_at":"2026-07-05T08:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"OMYEUDEJ","created_at":"2026-07-05T08:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:67d8f16f1233605555b34e1e39fb45c93c5c61f51e68d9816f7bcbd1189016b1","target":"graph","created_at":"2026-07-05T08:27:25Z","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/2403.05241/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The universal eigenvalue distribution characterizing the Gram matrix of semiclassical ensembles of black hole microstates is recognized as the Marchenko-Pastur distribution, which plays a prominent role as the universal limit distribution in a large class of random matrix and vector models. It is proposed that this distribution also universally determines the energy spectral density of black holes, which allows to construct a Krylov space for the time evolution of typical black hole states and calculate their state complexity. It is checked that the state complexity growth at late times satura","authors_text":"Wolfgang M\\\"uck","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-03-08T12:03:12Z","title":"Black Holes and Marchenko-Pastur Distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.05241","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:b174a479ef6a56c510c659b118b33678c1823f7e09a237918f353910d8f6d909","target":"record","created_at":"2026-07-05T08:27:25Z","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":"a12fbf5bca7cde617053c699d8189f7068acbdda22ab312a69ac7ecf177e130b","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-03-08T12:03:12Z","title_canon_sha256":"c08a59ed5cbd60e4adb06bad3a3a857e1966abe0933ac0c7194458cd2123d6df"},"schema_version":"1.0","source":{"id":"2403.05241","kind":"arxiv","version":3}},"canonical_sha256":"73304a0c8988fa7eab95fd46894a3dda98c8ed0fa2b0431e1370194965bc63a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73304a0c8988fa7eab95fd46894a3dda98c8ed0fa2b0431e1370194965bc63a6","first_computed_at":"2026-07-05T08:27:25.328350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:27:25.328350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dIGWSppuTUmATf3DXeE8MWbF9purAClslF95XYtCKcyfNRdmwLLZ6rcohPyYl8eAvowVG8k3UgORmi09HwNFBg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:27:25.328766Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.05241","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b174a479ef6a56c510c659b118b33678c1823f7e09a237918f353910d8f6d909","sha256:67d8f16f1233605555b34e1e39fb45c93c5c61f51e68d9816f7bcbd1189016b1"],"state_sha256":"4002b04c06495e0bdbf158fa07a79bf1d4a8141a9e77f12b70901e045ae0a10f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U+eO47F4RX68ydie++0bJ1mEMrBqjpkDmFyXu5dNo/qe+mV5umCGtNFOZFmD5HGH4KL6l3iKPZYkLT7hqqXhDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T09:28:37.344503Z","bundle_sha256":"02617cb026666a8f116836c1e97c8db11c441aa41501d679b24becc14d5d2f74"}}