{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:GZSUGQF35PYE52C6KY4NGUREJX","short_pith_number":"pith:GZSUGQF3","canonical_record":{"source":{"id":"2509.01311","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-09-01T09:50:42Z","cross_cats_sorted":["nucl-th","quant-ph"],"title_canon_sha256":"60ad674d8032cdcb1b102ef68d18284efb2dd80c193bd535717c99243bf6c93f","abstract_canon_sha256":"15e3f63be5377898cf4fec81bb438370a59b1006852afd2e193a608476e372f2"},"schema_version":"1.0"},"canonical_sha256":"36654340bbebf04ee85e5638d352244dd7f5e26de36da35e0f6670cbaa6ec643","source":{"kind":"arxiv","id":"2509.01311","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.01311","created_at":"2026-07-05T12:02:58Z"},{"alias_kind":"arxiv_version","alias_value":"2509.01311v1","created_at":"2026-07-05T12:02:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.01311","created_at":"2026-07-05T12:02:58Z"},{"alias_kind":"pith_short_12","alias_value":"GZSUGQF35PYE","created_at":"2026-07-05T12:02:58Z"},{"alias_kind":"pith_short_16","alias_value":"GZSUGQF35PYE52C6","created_at":"2026-07-05T12:02:58Z"},{"alias_kind":"pith_short_8","alias_value":"GZSUGQF3","created_at":"2026-07-05T12:02:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:GZSUGQF35PYE52C6KY4NGUREJX","target":"record","payload":{"canonical_record":{"source":{"id":"2509.01311","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-09-01T09:50:42Z","cross_cats_sorted":["nucl-th","quant-ph"],"title_canon_sha256":"60ad674d8032cdcb1b102ef68d18284efb2dd80c193bd535717c99243bf6c93f","abstract_canon_sha256":"15e3f63be5377898cf4fec81bb438370a59b1006852afd2e193a608476e372f2"},"schema_version":"1.0"},"canonical_sha256":"36654340bbebf04ee85e5638d352244dd7f5e26de36da35e0f6670cbaa6ec643","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:02:58.054406Z","signature_b64":"iuTt5EUlkJOhqMLLADCKYSLsFOWumcnP/xqPics0TAMnxoMBWZSfa16zkEOzUm/ld0kUKh9W1HyYEll87jcSAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36654340bbebf04ee85e5638d352244dd7f5e26de36da35e0f6670cbaa6ec643","last_reissued_at":"2026-07-05T12:02:58.053823Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:02:58.053823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2509.01311","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T12:02:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VzKa1D8G3veSnXxXyQ69wY4sDtgKTWrgyAZYWEGXgU94+emyGa+6MfbHrfv3M9RfrI+LiP0BoxPs19NhXTbTCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T07:24:06.417541Z"},"content_sha256":"f980994aebacd5ae0fa399bd69b3bbd5bd441fba07c2eb692cce9ec8064609b8","schema_version":"1.0","event_id":"sha256:f980994aebacd5ae0fa399bd69b3bbd5bd441fba07c2eb692cce9ec8064609b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:GZSUGQF35PYE52C6KY4NGUREJX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hadronic vacuum polarization effect in muonic atoms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th","quant-ph"],"primary_cat":"physics.atom-ph","authors_text":"Moritz Thierfeld, Natalia S. Oreshkina, Zoia A. Mandrykina","submitted_at":"2025-09-01T09:50:42Z","abstract_excerpt":"The hadronic vacuum polarization (HVP) corrections to energy levels in muonic atoms are studied systematically across the periodic table. Two nuclear charge distribution models have been considered, with partly analytical solution for an homogeneously charged sphere model and direct numerical integration for a Fermi nuclear charge distribution. Our comparison reveals a good agreement between both approaches with differences typically below a few percent. The magnitude of HVP corrections increases with nuclear charge, displaying irregularities that correlate directly with the non-monotonic beha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.01311","kind":"arxiv","version":1},"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/2509.01311/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":"2026-07-05T12:02:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hK+usnkKb362stHr3Fsa4F0rVPX3I2cL6/1GcwiM7pFYtYYiYtrMyQJPl/SJUU2DxRsOrEBSSqo9xdSsqRB5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T07:24:06.418500Z"},"content_sha256":"3f409c16ad8b793beddf5c74556a83f35805e8aa932ebbb7eca7a65c7a495ed2","schema_version":"1.0","event_id":"sha256:3f409c16ad8b793beddf5c74556a83f35805e8aa932ebbb7eca7a65c7a495ed2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GZSUGQF35PYE52C6KY4NGUREJX/bundle.json","state_url":"https://pith.science/pith/GZSUGQF35PYE52C6KY4NGUREJX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GZSUGQF35PYE52C6KY4NGUREJX/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":"2026-08-06T07:24:06Z","links":{"resolver":"https://pith.science/pith/GZSUGQF35PYE52C6KY4NGUREJX","bundle":"https://pith.science/pith/GZSUGQF35PYE52C6KY4NGUREJX/bundle.json","state":"https://pith.science/pith/GZSUGQF35PYE52C6KY4NGUREJX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GZSUGQF35PYE52C6KY4NGUREJX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GZSUGQF35PYE52C6KY4NGUREJX","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":"15e3f63be5377898cf4fec81bb438370a59b1006852afd2e193a608476e372f2","cross_cats_sorted":["nucl-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-09-01T09:50:42Z","title_canon_sha256":"60ad674d8032cdcb1b102ef68d18284efb2dd80c193bd535717c99243bf6c93f"},"schema_version":"1.0","source":{"id":"2509.01311","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.01311","created_at":"2026-07-05T12:02:58Z"},{"alias_kind":"arxiv_version","alias_value":"2509.01311v1","created_at":"2026-07-05T12:02:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.01311","created_at":"2026-07-05T12:02:58Z"},{"alias_kind":"pith_short_12","alias_value":"GZSUGQF35PYE","created_at":"2026-07-05T12:02:58Z"},{"alias_kind":"pith_short_16","alias_value":"GZSUGQF35PYE52C6","created_at":"2026-07-05T12:02:58Z"},{"alias_kind":"pith_short_8","alias_value":"GZSUGQF3","created_at":"2026-07-05T12:02:58Z"}],"graph_snapshots":[{"event_id":"sha256:3f409c16ad8b793beddf5c74556a83f35805e8aa932ebbb7eca7a65c7a495ed2","target":"graph","created_at":"2026-07-05T12:02:58Z","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/2509.01311/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The hadronic vacuum polarization (HVP) corrections to energy levels in muonic atoms are studied systematically across the periodic table. Two nuclear charge distribution models have been considered, with partly analytical solution for an homogeneously charged sphere model and direct numerical integration for a Fermi nuclear charge distribution. Our comparison reveals a good agreement between both approaches with differences typically below a few percent. The magnitude of HVP corrections increases with nuclear charge, displaying irregularities that correlate directly with the non-monotonic beha","authors_text":"Moritz Thierfeld, Natalia S. Oreshkina, Zoia A. Mandrykina","cross_cats":["nucl-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-09-01T09:50:42Z","title":"Hadronic vacuum polarization effect in muonic atoms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.01311","kind":"arxiv","version":1},"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:f980994aebacd5ae0fa399bd69b3bbd5bd441fba07c2eb692cce9ec8064609b8","target":"record","created_at":"2026-07-05T12:02:58Z","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":"15e3f63be5377898cf4fec81bb438370a59b1006852afd2e193a608476e372f2","cross_cats_sorted":["nucl-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-09-01T09:50:42Z","title_canon_sha256":"60ad674d8032cdcb1b102ef68d18284efb2dd80c193bd535717c99243bf6c93f"},"schema_version":"1.0","source":{"id":"2509.01311","kind":"arxiv","version":1}},"canonical_sha256":"36654340bbebf04ee85e5638d352244dd7f5e26de36da35e0f6670cbaa6ec643","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36654340bbebf04ee85e5638d352244dd7f5e26de36da35e0f6670cbaa6ec643","first_computed_at":"2026-07-05T12:02:58.053823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:02:58.053823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iuTt5EUlkJOhqMLLADCKYSLsFOWumcnP/xqPics0TAMnxoMBWZSfa16zkEOzUm/ld0kUKh9W1HyYEll87jcSAw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:02:58.054406Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.01311","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f980994aebacd5ae0fa399bd69b3bbd5bd441fba07c2eb692cce9ec8064609b8","sha256:3f409c16ad8b793beddf5c74556a83f35805e8aa932ebbb7eca7a65c7a495ed2"],"state_sha256":"29d9d1dd77ba9593a956b012964796b86bae7d0a61b5af14def0074ee6346722"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ou2J7wsptURC56GIv1j1QkBYaHoqn9fe/ZBSbL5SlGcmSsjew7QvAd1vGUN/XpbPGMtWjI93stMA2XJKW+mSAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T07:24:06.425383Z","bundle_sha256":"c8b7af71bc2abf31282d534ba20c50b0212221ff41ba27b885978a4ba03d7b39"}}