{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:3TQ4QSPQBBCFTFA34SIR6Z6FRL","short_pith_number":"pith:3TQ4QSPQ","canonical_record":{"source":{"id":"hep-th/0512102","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-12-08T21:09:19Z","cross_cats_sorted":[],"title_canon_sha256":"57404509ebca1999208195623902162f8d0da8d538308fafc9f385ce93402ece","abstract_canon_sha256":"a64229122e1bcadb0afc3f636573bb73a1f15009db1b9a7802693cfc1cda635c"},"schema_version":"1.0"},"canonical_sha256":"dce1c849f0084459941be4911f67c58acc4e3a07d2f28b47c50c15f7c8c1ac33","source":{"kind":"arxiv","id":"hep-th/0512102","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0512102","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0512102v3","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0512102","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"3TQ4QSPQBBCF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"3TQ4QSPQBBCFTFA3","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"3TQ4QSPQ","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:3TQ4QSPQBBCFTFA34SIR6Z6FRL","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0512102","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-12-08T21:09:19Z","cross_cats_sorted":[],"title_canon_sha256":"57404509ebca1999208195623902162f8d0da8d538308fafc9f385ce93402ece","abstract_canon_sha256":"a64229122e1bcadb0afc3f636573bb73a1f15009db1b9a7802693cfc1cda635c"},"schema_version":"1.0"},"canonical_sha256":"dce1c849f0084459941be4911f67c58acc4e3a07d2f28b47c50c15f7c8c1ac33","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:45.501266Z","signature_b64":"7CAEjyMrzVcHLxNudO4Who6MWM0Qx8QuFFASQvD/lXUwmk7IX2wf3bc4thEsHGp/ffKRu9O86nsLKcVuIjZaBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dce1c849f0084459941be4911f67c58acc4e3a07d2f28b47c50c15f7c8c1ac33","last_reissued_at":"2026-05-18T01:38:45.500905Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:45.500905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0512102","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":"2026-05-18T01:38:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HBD19BZ+5LZU6/ugfSEZnzQTM06AgoumKyhpIKJk6VOwc3r08bQpCHduA8xauyMUf650L36xMwuhqXL2sZKiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T10:54:09.590724Z"},"content_sha256":"358735edeaad28917be849f2ea320b6b6bafae779da9fd347b7d4c1b10ab5e8c","schema_version":"1.0","event_id":"sha256:358735edeaad28917be849f2ea320b6b6bafae779da9fd347b7d4c1b10ab5e8c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:3TQ4QSPQBBCFTFA34SIR6Z6FRL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random Matrices and the Spectrum of N-flation","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Liam McAllister, Richard Easther","submitted_at":"2005-12-08T21:09:19Z","abstract_excerpt":"N-flation is a promising embedding of inflation in string theory in which many string axions combine to drive inflation. We characterize the dynamics of a general N-flation model with non-degenerate axion masses. Although the precise mass of a single axion depends on compactification details in a complicated way, the distribution of masses can be computed with very limited knowledge of microscopics: the shape of the mass distribution is an emergent property. We use random matrix theory to show that a typical N-flation model has a spectrum of masses distributed according to the Marchenko-Pastur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0512102","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":""},"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":"2026-05-18T01:38:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7fn4RRv43v0A6cw9HP55uUTA69y9mQWONUG4gsZj3qUG4YOlGVxYoV7eic0KVuAwm3jynoRb+yaB28dGsKg6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T10:54:09.591285Z"},"content_sha256":"cc8274c588950c306d6d18ef2b204f32ec1912bd2dfc66d847120d5ecfefb9bf","schema_version":"1.0","event_id":"sha256:cc8274c588950c306d6d18ef2b204f32ec1912bd2dfc66d847120d5ecfefb9bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3TQ4QSPQBBCFTFA34SIR6Z6FRL/bundle.json","state_url":"https://pith.science/pith/3TQ4QSPQBBCFTFA34SIR6Z6FRL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3TQ4QSPQBBCFTFA34SIR6Z6FRL/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":"2026-08-07T10:54:09Z","links":{"resolver":"https://pith.science/pith/3TQ4QSPQBBCFTFA34SIR6Z6FRL","bundle":"https://pith.science/pith/3TQ4QSPQBBCFTFA34SIR6Z6FRL/bundle.json","state":"https://pith.science/pith/3TQ4QSPQBBCFTFA34SIR6Z6FRL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3TQ4QSPQBBCFTFA34SIR6Z6FRL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:3TQ4QSPQBBCFTFA34SIR6Z6FRL","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":"a64229122e1bcadb0afc3f636573bb73a1f15009db1b9a7802693cfc1cda635c","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-12-08T21:09:19Z","title_canon_sha256":"57404509ebca1999208195623902162f8d0da8d538308fafc9f385ce93402ece"},"schema_version":"1.0","source":{"id":"hep-th/0512102","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0512102","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0512102v3","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0512102","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"3TQ4QSPQBBCF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"3TQ4QSPQBBCFTFA3","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"3TQ4QSPQ","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:cc8274c588950c306d6d18ef2b204f32ec1912bd2dfc66d847120d5ecfefb9bf","target":"graph","created_at":"2026-05-18T01:38:45Z","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"},"paper":{"abstract_excerpt":"N-flation is a promising embedding of inflation in string theory in which many string axions combine to drive inflation. We characterize the dynamics of a general N-flation model with non-degenerate axion masses. Although the precise mass of a single axion depends on compactification details in a complicated way, the distribution of masses can be computed with very limited knowledge of microscopics: the shape of the mass distribution is an emergent property. We use random matrix theory to show that a typical N-flation model has a spectrum of masses distributed according to the Marchenko-Pastur","authors_text":"Liam McAllister, Richard Easther","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-12-08T21:09:19Z","title":"Random Matrices and the Spectrum of N-flation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0512102","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":"sha256:358735edeaad28917be849f2ea320b6b6bafae779da9fd347b7d4c1b10ab5e8c","target":"record","created_at":"2026-05-18T01:38:45Z","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":"a64229122e1bcadb0afc3f636573bb73a1f15009db1b9a7802693cfc1cda635c","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-12-08T21:09:19Z","title_canon_sha256":"57404509ebca1999208195623902162f8d0da8d538308fafc9f385ce93402ece"},"schema_version":"1.0","source":{"id":"hep-th/0512102","kind":"arxiv","version":3}},"canonical_sha256":"dce1c849f0084459941be4911f67c58acc4e3a07d2f28b47c50c15f7c8c1ac33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dce1c849f0084459941be4911f67c58acc4e3a07d2f28b47c50c15f7c8c1ac33","first_computed_at":"2026-05-18T01:38:45.500905Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:45.500905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7CAEjyMrzVcHLxNudO4Who6MWM0Qx8QuFFASQvD/lXUwmk7IX2wf3bc4thEsHGp/ffKRu9O86nsLKcVuIjZaBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:45.501266Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0512102","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:358735edeaad28917be849f2ea320b6b6bafae779da9fd347b7d4c1b10ab5e8c","sha256:cc8274c588950c306d6d18ef2b204f32ec1912bd2dfc66d847120d5ecfefb9bf"],"state_sha256":"4233bd58909610ed21ce89ea44a1d6d09368f1b338e04ec4430be2fb0c285d34"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y/4b4qZt6dATfhhh9EgCwc1mY0PYDhdyP0QB3Ran34LpTsEgQey6bb00L7A1G1xdJEV0BHad5pX70cyZXnN+Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T10:54:09.595952Z","bundle_sha256":"374ef0fa346e52f28038273d614aef80e51d1a296f44d3c1f4f94c746f406017"}}