{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XEJPNF6NXDYJG5WJ2RD6NVHUOR","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":"a01ad689436ba7a20632bbcb1c556f7c26f9a7ae561055039402034f04abf0f8","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-06-01T10:22:44Z","title_canon_sha256":"3d9af0a8d26ff19d4996ecccb1fbe0850b479e729ad6fb6f72c797143bef0096"},"schema_version":"1.0","source":{"id":"1006.0102","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0102","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0102v1","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0102","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"pith_short_12","alias_value":"XEJPNF6NXDYJ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XEJPNF6NXDYJG5WJ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XEJPNF6N","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:e1b74c8b558a699a80bc30a4207dddd85969ecf7606b188614ff56b3e7156810","target":"graph","created_at":"2026-05-18T02:07:06Z","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 derive the ground state energy up to the fourth order in the fine structure constant $\\alpha$ for the translation invariant Pauli-Fierz Hamiltonian for a spinless electron coupled to the quantized radiation field. As a consequence, we obtain the non-analyticity of the ground state energy of the Pauli-Fierz operator for a single particle in the Coulomb field of a nucleus.","authors_text":"Jean-Marie Barbaroux, Semjon Vugalter","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-06-01T10:22:44Z","title":"Non-analyticity of the groud state energy of the Hamiltonian for Hydrogen atom in non-relativistic QED"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0102","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":"sha256:3e330a4d2f1133884976356462ebcb725281530af71108e10dd095f7491b4fa1","target":"record","created_at":"2026-05-18T02:07:06Z","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":"a01ad689436ba7a20632bbcb1c556f7c26f9a7ae561055039402034f04abf0f8","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-06-01T10:22:44Z","title_canon_sha256":"3d9af0a8d26ff19d4996ecccb1fbe0850b479e729ad6fb6f72c797143bef0096"},"schema_version":"1.0","source":{"id":"1006.0102","kind":"arxiv","version":1}},"canonical_sha256":"b912f697cdb8f09376c9d447e6d4f4744ff926bd96f4b87625fe7bee8b34cdc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b912f697cdb8f09376c9d447e6d4f4744ff926bd96f4b87625fe7bee8b34cdc7","first_computed_at":"2026-05-18T02:07:06.109798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:07:06.109798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FP9SM3x4An11ficIxkUJdfU20r14VkIM5iAAa9/nZZIM7rZARnnihHtRnhd0+0pvEquKtXXmY8xiLTiqsSChCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:07:06.110576Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.0102","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e330a4d2f1133884976356462ebcb725281530af71108e10dd095f7491b4fa1","sha256:e1b74c8b558a699a80bc30a4207dddd85969ecf7606b188614ff56b3e7156810"],"state_sha256":"8f4fffb7299f857ee2052d3948881d2e23fd6646ebe0c05c334a6c95ec2d818d"}