{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:CMH4U7AJFYQ3V2CG65DMZ34VFR","short_pith_number":"pith:CMH4U7AJ","canonical_record":{"source":{"id":"1203.1404","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-03-07T08:57:00Z","cross_cats_sorted":[],"title_canon_sha256":"b349d25bbaf5307a3da686f76c2675470d28c03b91afc371341673be6a8cb294","abstract_canon_sha256":"0911ea967a3ccc43f59218f796f80d1baeaea318f3ae629b6bf5eea9480c9552"},"schema_version":"1.0"},"canonical_sha256":"130fca7c092e21bae846f746ccef952c6260a2d56bcf902da18e31b629a54d1d","source":{"kind":"arxiv","id":"1203.1404","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1404","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1404v2","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1404","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"CMH4U7AJFYQ3","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CMH4U7AJFYQ3V2CG","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CMH4U7AJ","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:CMH4U7AJFYQ3V2CG65DMZ34VFR","target":"record","payload":{"canonical_record":{"source":{"id":"1203.1404","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-03-07T08:57:00Z","cross_cats_sorted":[],"title_canon_sha256":"b349d25bbaf5307a3da686f76c2675470d28c03b91afc371341673be6a8cb294","abstract_canon_sha256":"0911ea967a3ccc43f59218f796f80d1baeaea318f3ae629b6bf5eea9480c9552"},"schema_version":"1.0"},"canonical_sha256":"130fca7c092e21bae846f746ccef952c6260a2d56bcf902da18e31b629a54d1d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:45.258541Z","signature_b64":"pNcjh9jRwabjV4G4qTCL16r27AmpufrbWCMY7/40Vv3c+6xncO1sHCrUVGZ5eFMKT1CQlBwVKRrrhu2IWmI3Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"130fca7c092e21bae846f746ccef952c6260a2d56bcf902da18e31b629a54d1d","last_reissued_at":"2026-05-18T02:59:45.257730Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:45.257730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.1404","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:59:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"59UANPyvckbQuqu1LwfVER/YknrBVrcBD5t1e8jiAjaGFpsD9iYv1A29RefCRn6mfPXaYQ+dszXHFuKog5q6Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:01:36.680221Z"},"content_sha256":"d2559cb5f00dfd0fba586e9ec8d9408819de3ebfb1e46bd499ba9f10220a57c5","schema_version":"1.0","event_id":"sha256:d2559cb5f00dfd0fba586e9ec8d9408819de3ebfb1e46bd499ba9f10220a57c5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:CMH4U7AJFYQ3V2CG65DMZ34VFR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Calculation of the nonrelativistic Bethe logarithm in the velocity gauge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"V. I. Korobov","submitted_at":"2012-03-07T08:57:00Z","abstract_excerpt":"We consider a general procedure to evaluate the Bethe logarithm for a general few-body atomic or molecular system. As benchmarks we use calculation for the ground states of a helium atom and H_2^+ molecular ion. The obtained values are: \\beta_He=4.37016022306(2) for the helium atom and \\beta_{H_2^+} = 3.012230335(1) for the H_2^+. Both results substantially improve the best known values for these quantities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1404","kind":"arxiv","version":2},"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":"2026-05-18T02:59:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ixEF+YX3oo71XboA5fXjT/1iT+SMnvnsxyvG4PLV+2qU33uZdjunCh5sJ5I1CWb2vbukXur1SoYXivsL+jyWDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:01:36.680577Z"},"content_sha256":"ef2e9831730b611efe8044ba0ff34b73d1555e9fdc2a5b5d654e6e57a1ba24e5","schema_version":"1.0","event_id":"sha256:ef2e9831730b611efe8044ba0ff34b73d1555e9fdc2a5b5d654e6e57a1ba24e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CMH4U7AJFYQ3V2CG65DMZ34VFR/bundle.json","state_url":"https://pith.science/pith/CMH4U7AJFYQ3V2CG65DMZ34VFR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CMH4U7AJFYQ3V2CG65DMZ34VFR/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":"2026-06-29T20:01:36Z","links":{"resolver":"https://pith.science/pith/CMH4U7AJFYQ3V2CG65DMZ34VFR","bundle":"https://pith.science/pith/CMH4U7AJFYQ3V2CG65DMZ34VFR/bundle.json","state":"https://pith.science/pith/CMH4U7AJFYQ3V2CG65DMZ34VFR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CMH4U7AJFYQ3V2CG65DMZ34VFR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CMH4U7AJFYQ3V2CG65DMZ34VFR","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":"0911ea967a3ccc43f59218f796f80d1baeaea318f3ae629b6bf5eea9480c9552","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-03-07T08:57:00Z","title_canon_sha256":"b349d25bbaf5307a3da686f76c2675470d28c03b91afc371341673be6a8cb294"},"schema_version":"1.0","source":{"id":"1203.1404","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1404","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1404v2","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1404","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"CMH4U7AJFYQ3","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CMH4U7AJFYQ3V2CG","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CMH4U7AJ","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:ef2e9831730b611efe8044ba0ff34b73d1555e9fdc2a5b5d654e6e57a1ba24e5","target":"graph","created_at":"2026-05-18T02:59:45Z","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":"We consider a general procedure to evaluate the Bethe logarithm for a general few-body atomic or molecular system. As benchmarks we use calculation for the ground states of a helium atom and H_2^+ molecular ion. The obtained values are: \\beta_He=4.37016022306(2) for the helium atom and \\beta_{H_2^+} = 3.012230335(1) for the H_2^+. Both results substantially improve the best known values for these quantities.","authors_text":"V. I. Korobov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-03-07T08:57:00Z","title":"Calculation of the nonrelativistic Bethe logarithm in the velocity gauge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1404","kind":"arxiv","version":2},"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:d2559cb5f00dfd0fba586e9ec8d9408819de3ebfb1e46bd499ba9f10220a57c5","target":"record","created_at":"2026-05-18T02:59:45Z","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":"0911ea967a3ccc43f59218f796f80d1baeaea318f3ae629b6bf5eea9480c9552","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-03-07T08:57:00Z","title_canon_sha256":"b349d25bbaf5307a3da686f76c2675470d28c03b91afc371341673be6a8cb294"},"schema_version":"1.0","source":{"id":"1203.1404","kind":"arxiv","version":2}},"canonical_sha256":"130fca7c092e21bae846f746ccef952c6260a2d56bcf902da18e31b629a54d1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"130fca7c092e21bae846f746ccef952c6260a2d56bcf902da18e31b629a54d1d","first_computed_at":"2026-05-18T02:59:45.257730Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:45.257730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pNcjh9jRwabjV4G4qTCL16r27AmpufrbWCMY7/40Vv3c+6xncO1sHCrUVGZ5eFMKT1CQlBwVKRrrhu2IWmI3Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:45.258541Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.1404","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2559cb5f00dfd0fba586e9ec8d9408819de3ebfb1e46bd499ba9f10220a57c5","sha256:ef2e9831730b611efe8044ba0ff34b73d1555e9fdc2a5b5d654e6e57a1ba24e5"],"state_sha256":"5a99be541153a8ad745882810b42e4e8c4340722e4281dca9eccfe7e20e49c58"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uO37X7h3MlbSK8Jy8qluTG493sdGG2p76f/UpML1ATt36Tg690i7X+vkkxGBjqq9gDsnVIippy/5jrtmeA7nAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T20:01:36.682620Z","bundle_sha256":"b3221134f3d2cd3b932dacdbee3c115ac0518e99f0f0e2a0de9cc87f486af64d"}}