{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:EOI2T4VG2EJYO7RFL6TZLE4GYE","short_pith_number":"pith:EOI2T4VG","canonical_record":{"source":{"id":"0901.3421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-22T07:38:05Z","cross_cats_sorted":[],"title_canon_sha256":"016bc7a97c1e13f2034d712fdf1ab0589951fdb97bb0022fe9d808eb3e0cae8e","abstract_canon_sha256":"1241f1d27b7c5510a19dbff29833946317882d0a26f0c9498ad0f9d63203a5ec"},"schema_version":"1.0"},"canonical_sha256":"2391a9f2a6d113877e255fa7959386c119138a683bac6537b874f1648330ea29","source":{"kind":"arxiv","id":"0901.3421","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.3421","created_at":"2026-07-04T15:36:37Z"},{"alias_kind":"arxiv_version","alias_value":"0901.3421v1","created_at":"2026-07-04T15:36:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.3421","created_at":"2026-07-04T15:36:37Z"},{"alias_kind":"pith_short_12","alias_value":"EOI2T4VG2EJY","created_at":"2026-07-04T15:36:37Z"},{"alias_kind":"pith_short_16","alias_value":"EOI2T4VG2EJYO7RF","created_at":"2026-07-04T15:36:37Z"},{"alias_kind":"pith_short_8","alias_value":"EOI2T4VG","created_at":"2026-07-04T15:36:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:EOI2T4VG2EJYO7RFL6TZLE4GYE","target":"record","payload":{"canonical_record":{"source":{"id":"0901.3421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-22T07:38:05Z","cross_cats_sorted":[],"title_canon_sha256":"016bc7a97c1e13f2034d712fdf1ab0589951fdb97bb0022fe9d808eb3e0cae8e","abstract_canon_sha256":"1241f1d27b7c5510a19dbff29833946317882d0a26f0c9498ad0f9d63203a5ec"},"schema_version":"1.0"},"canonical_sha256":"2391a9f2a6d113877e255fa7959386c119138a683bac6537b874f1648330ea29","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:36:37.851447Z","signature_b64":"jHzY/4ArsYmj08Qd7IF53XA/bGdR+rzGTgbc8zVxfEWtLDdvb9/csTHJsg8spfN0UGeToXgAf2GHhKeFD0+1Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2391a9f2a6d113877e255fa7959386c119138a683bac6537b874f1648330ea29","last_reissued_at":"2026-07-04T15:36:37.851040Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:36:37.851040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.3421","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":"2026-07-04T15:36:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gKHTAS+LU3QuIlwEWlLVX3Y3zECFpNJCBh8ElWV8LeYgAFwVRQvIFQ69+cM8GO1iQE1xioKoU80eW0ebDpN8Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-26T20:20:07.446713Z"},"content_sha256":"9476b409fc6eaf946e33a953c49d1471531698d05cb09732f7ec635030f965db","schema_version":"1.0","event_id":"sha256:9476b409fc6eaf946e33a953c49d1471531698d05cb09732f7ec635030f965db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:EOI2T4VG2EJYO7RFL6TZLE4GYE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New Renormalization Scheme of Vacuum Polarization in QED","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"H. Kato, H. Kubo, K. Tsuda, N. Kanda, S. Oshima, T. Fujita, Y. Munakata","submitted_at":"2009-01-22T07:38:05Z","abstract_excerpt":"We examine the vacuum polarization contribution in the renormalization scheme of QED. Normally, the quadratic divergence term is discarded under the condition that the counter term of the Lagrangian density should be gauge invariant. Here, it is shown that the whole contribution of the photon self-energy should not be considered for the renormalization procedure. In fact, the finite contribution of the renormalization in the vacuum polarization is shown to give rise to the hyperfine splitting energy which disagrees with the experimental observation in hydrogen atom. For the treatment of the va"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.3421","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/0901.3421/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":"2026-07-04T15:36:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IlsfARWtqYkTsNGYUaH/aQvZ/a3Wvw1tr7GYlnzkk6cN8r4t5TQd7WpEahdGpUQPlD8VswHqK7cZpySIJWZMBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-26T20:20:07.447078Z"},"content_sha256":"d85d990400b2e583d487992c96fe1af38bc13b86e8fb997b62776de81b1fc9d8","schema_version":"1.0","event_id":"sha256:d85d990400b2e583d487992c96fe1af38bc13b86e8fb997b62776de81b1fc9d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EOI2T4VG2EJYO7RFL6TZLE4GYE/bundle.json","state_url":"https://pith.science/pith/EOI2T4VG2EJYO7RFL6TZLE4GYE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EOI2T4VG2EJYO7RFL6TZLE4GYE/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":"2026-07-26T20:20:07Z","links":{"resolver":"https://pith.science/pith/EOI2T4VG2EJYO7RFL6TZLE4GYE","bundle":"https://pith.science/pith/EOI2T4VG2EJYO7RFL6TZLE4GYE/bundle.json","state":"https://pith.science/pith/EOI2T4VG2EJYO7RFL6TZLE4GYE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EOI2T4VG2EJYO7RFL6TZLE4GYE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:EOI2T4VG2EJYO7RFL6TZLE4GYE","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":"1241f1d27b7c5510a19dbff29833946317882d0a26f0c9498ad0f9d63203a5ec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-22T07:38:05Z","title_canon_sha256":"016bc7a97c1e13f2034d712fdf1ab0589951fdb97bb0022fe9d808eb3e0cae8e"},"schema_version":"1.0","source":{"id":"0901.3421","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.3421","created_at":"2026-07-04T15:36:37Z"},{"alias_kind":"arxiv_version","alias_value":"0901.3421v1","created_at":"2026-07-04T15:36:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.3421","created_at":"2026-07-04T15:36:37Z"},{"alias_kind":"pith_short_12","alias_value":"EOI2T4VG2EJY","created_at":"2026-07-04T15:36:37Z"},{"alias_kind":"pith_short_16","alias_value":"EOI2T4VG2EJYO7RF","created_at":"2026-07-04T15:36:37Z"},{"alias_kind":"pith_short_8","alias_value":"EOI2T4VG","created_at":"2026-07-04T15:36:37Z"}],"graph_snapshots":[{"event_id":"sha256:d85d990400b2e583d487992c96fe1af38bc13b86e8fb997b62776de81b1fc9d8","target":"graph","created_at":"2026-07-04T15:36:37Z","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/0901.3421/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We examine the vacuum polarization contribution in the renormalization scheme of QED. Normally, the quadratic divergence term is discarded under the condition that the counter term of the Lagrangian density should be gauge invariant. Here, it is shown that the whole contribution of the photon self-energy should not be considered for the renormalization procedure. In fact, the finite contribution of the renormalization in the vacuum polarization is shown to give rise to the hyperfine splitting energy which disagrees with the experimental observation in hydrogen atom. For the treatment of the va","authors_text":"H. Kato, H. Kubo, K. Tsuda, N. Kanda, S. Oshima, T. Fujita, Y. Munakata","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-22T07:38:05Z","title":"New Renormalization Scheme of Vacuum Polarization in QED"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.3421","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":"sha256:9476b409fc6eaf946e33a953c49d1471531698d05cb09732f7ec635030f965db","target":"record","created_at":"2026-07-04T15:36:37Z","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":"1241f1d27b7c5510a19dbff29833946317882d0a26f0c9498ad0f9d63203a5ec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-22T07:38:05Z","title_canon_sha256":"016bc7a97c1e13f2034d712fdf1ab0589951fdb97bb0022fe9d808eb3e0cae8e"},"schema_version":"1.0","source":{"id":"0901.3421","kind":"arxiv","version":1}},"canonical_sha256":"2391a9f2a6d113877e255fa7959386c119138a683bac6537b874f1648330ea29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2391a9f2a6d113877e255fa7959386c119138a683bac6537b874f1648330ea29","first_computed_at":"2026-07-04T15:36:37.851040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:36:37.851040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jHzY/4ArsYmj08Qd7IF53XA/bGdR+rzGTgbc8zVxfEWtLDdvb9/csTHJsg8spfN0UGeToXgAf2GHhKeFD0+1Aw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:36:37.851447Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.3421","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9476b409fc6eaf946e33a953c49d1471531698d05cb09732f7ec635030f965db","sha256:d85d990400b2e583d487992c96fe1af38bc13b86e8fb997b62776de81b1fc9d8"],"state_sha256":"34ad27f884c6e584c590dbe657def960b8e7e9826436192e032b6b413d67bf25"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BHdKY808gbkhvTpy49uoLkz7YRADRZ+oZVQiSYZnWKvcuVktFEDJjFxGlH4yUj5yeRJWhjeHbTgyDK/eMgHEAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-26T20:20:07.449219Z","bundle_sha256":"44899d58ef27f096b9944bd65d794887bcb589344d9a80b484ed45e7f56258a1"}}