{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:PN65HKS2SSIDI7WHMSVBCSOB5R","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":"df59c829bc52fbb5acb5cc88feb3b06e39499d8d3b4bf6dbf10fb184940ef64c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-10-01T12:35:20Z","title_canon_sha256":"f7c94e47270aba1f10f25c8c7a2271f7e4bb721c7d428b9467517bd8d3e707c8"},"schema_version":"1.0","source":{"id":"1010.0144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0144","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0144v1","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0144","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"pith_short_12","alias_value":"PN65HKS2SSID","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PN65HKS2SSIDI7WH","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PN65HKS2","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:f9c3ff5a9feafe2287acbe5713b028edc3449bdab22c13e90b06920322cf30a6","target":"graph","created_at":"2026-05-18T04:40:00Z","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":"Bound state problem in the relativistic QED is investigated by the functional integral methods. The ortho- para- positron mass difference is calculated. Contribution of the \"nonphysical\"$~$ time variable turned out to be important and leads to the nonanalytic dependence of the bound state mass of the order $\\alpha^{{2\\over3}}$. It is shown that the relativistic and non-relativistic QED gives different results for this mass shift. In addition so-called abnormal states as \"time excitations\" arise. Sequential application of relativistic QED to bound state problem is in contradiction with real ort","authors_text":"G.V. Efimov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-10-01T12:35:20Z","title":"QED and ortho-para- positronium mass difference"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0144","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:c920e8d2d2d9dbec9a3ad705007e1027c09bc4ec753fb21874a0a0d072cbf1a0","target":"record","created_at":"2026-05-18T04:40:00Z","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":"df59c829bc52fbb5acb5cc88feb3b06e39499d8d3b4bf6dbf10fb184940ef64c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-10-01T12:35:20Z","title_canon_sha256":"f7c94e47270aba1f10f25c8c7a2271f7e4bb721c7d428b9467517bd8d3e707c8"},"schema_version":"1.0","source":{"id":"1010.0144","kind":"arxiv","version":1}},"canonical_sha256":"7b7dd3aa5a9490347ec764aa1149c1ec62de6807b9a2ebe44a8eb08ca6d7efc6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b7dd3aa5a9490347ec764aa1149c1ec62de6807b9a2ebe44a8eb08ca6d7efc6","first_computed_at":"2026-05-18T04:40:00.202210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:00.202210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1hAeVBFqhNoFstTgJPYkDaOZpgnvIC/aIqw5sWUe90C6gxBVltchaqi2f0X+4iry0ZQQhOIUDknDb4X8hjRwAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:00.202638Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.0144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c920e8d2d2d9dbec9a3ad705007e1027c09bc4ec753fb21874a0a0d072cbf1a0","sha256:f9c3ff5a9feafe2287acbe5713b028edc3449bdab22c13e90b06920322cf30a6"],"state_sha256":"c5fe045a78ae27dd6367b6f753a8f9790341bd7b8dedfb68794e727d362ae212"}