{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:VROUSRCTDTG55VRI37BY2P5V2X","short_pith_number":"pith:VROUSRCT","canonical_record":{"source":{"id":"1207.5134","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-21T13:20:42Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c2e79fc2da5d7f038e051947773649d9c172b11fd906113a8a7f86ad3c3f5637","abstract_canon_sha256":"27e856b99b9e6e5f1bcf0b3bf64105183763701ea7e3e5238461c3c25108ed9d"},"schema_version":"1.0"},"canonical_sha256":"ac5d4944531ccdded628dfc38d3fb5d5ebb5ac65f29e6a0445d37990d2ebba1d","source":{"kind":"arxiv","id":"1207.5134","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5134","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5134v1","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5134","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"VROUSRCTDTG5","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VROUSRCTDTG55VRI","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VROUSRCT","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:VROUSRCTDTG55VRI37BY2P5V2X","target":"record","payload":{"canonical_record":{"source":{"id":"1207.5134","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-21T13:20:42Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c2e79fc2da5d7f038e051947773649d9c172b11fd906113a8a7f86ad3c3f5637","abstract_canon_sha256":"27e856b99b9e6e5f1bcf0b3bf64105183763701ea7e3e5238461c3c25108ed9d"},"schema_version":"1.0"},"canonical_sha256":"ac5d4944531ccdded628dfc38d3fb5d5ebb5ac65f29e6a0445d37990d2ebba1d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:45.128793Z","signature_b64":"Kn3KEcwBC/e7tLhGmO+lRpfzV1iv+naWUOqGJ0xeecStl4D6L7WSlEopOtWROVmUGJ+TzBE0E24hIp4ROEO1Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac5d4944531ccdded628dfc38d3fb5d5ebb5ac65f29e6a0445d37990d2ebba1d","last_reissued_at":"2026-05-18T02:59:45.128346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:45.128346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.5134","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":"2026-05-18T02:59:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lXPoAb9fcqy8VtgbO58cfbvN3pouJG5i0vmV4r/cf8C8cITtg1cDwbmBcMkUukoHkhkyUXm1e8wLKqrEgYhrBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T03:52:14.111878Z"},"content_sha256":"924af4e59f12fcc0ca30df1fb9c547c192709e8a217b258436b0d3e507b0a6b3","schema_version":"1.0","event_id":"sha256:924af4e59f12fcc0ca30df1fb9c547c192709e8a217b258436b0d3e507b0a6b3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:VROUSRCTDTG55VRI37BY2P5V2X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hydrogen-like atoms in relativistic QED","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Edgardo Stockmeyer, Martin K\\\"onenberg, Oliver Matte","submitted_at":"2012-07-21T13:20:42Z","abstract_excerpt":"In this review we consider two different models of a hydrogenic atom in a quantized electromagnetic field that treat the electron relativistically. The first one is a no-pair model in the free picture, the second one is given by the semi-relativistic Pauli-Fierz Hamiltonian. For both models we discuss the semi-boundedness of the Hamiltonian, the strict positivity of the ionization energy, and the exponential localization in position space of spectral subspaces corresponding to energies below the ionization threshold. Moreover, we prove the existence of degenerate ground state eigenvalues at th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5134","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":""},"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":"mNXcoCgpAtCW4EmphXvYxjkq3OANZLXhDRR6aybbADqU2ceyOOn7NkhZgaOB6ByJVI3sGGfMd68Sx6yjUMEuCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T03:52:14.112458Z"},"content_sha256":"def6ef183365b682c6f74e31d42d2cfd5d3cfc423bdb6c3dc550618c7f62af27","schema_version":"1.0","event_id":"sha256:def6ef183365b682c6f74e31d42d2cfd5d3cfc423bdb6c3dc550618c7f62af27"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VROUSRCTDTG55VRI37BY2P5V2X/bundle.json","state_url":"https://pith.science/pith/VROUSRCTDTG55VRI37BY2P5V2X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VROUSRCTDTG55VRI37BY2P5V2X/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":"2026-05-30T03:52:14Z","links":{"resolver":"https://pith.science/pith/VROUSRCTDTG55VRI37BY2P5V2X","bundle":"https://pith.science/pith/VROUSRCTDTG55VRI37BY2P5V2X/bundle.json","state":"https://pith.science/pith/VROUSRCTDTG55VRI37BY2P5V2X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VROUSRCTDTG55VRI37BY2P5V2X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VROUSRCTDTG55VRI37BY2P5V2X","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":"27e856b99b9e6e5f1bcf0b3bf64105183763701ea7e3e5238461c3c25108ed9d","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-21T13:20:42Z","title_canon_sha256":"c2e79fc2da5d7f038e051947773649d9c172b11fd906113a8a7f86ad3c3f5637"},"schema_version":"1.0","source":{"id":"1207.5134","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5134","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5134v1","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5134","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"VROUSRCTDTG5","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VROUSRCTDTG55VRI","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VROUSRCT","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:def6ef183365b682c6f74e31d42d2cfd5d3cfc423bdb6c3dc550618c7f62af27","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":"In this review we consider two different models of a hydrogenic atom in a quantized electromagnetic field that treat the electron relativistically. The first one is a no-pair model in the free picture, the second one is given by the semi-relativistic Pauli-Fierz Hamiltonian. For both models we discuss the semi-boundedness of the Hamiltonian, the strict positivity of the ionization energy, and the exponential localization in position space of spectral subspaces corresponding to energies below the ionization threshold. Moreover, we prove the existence of degenerate ground state eigenvalues at th","authors_text":"Edgardo Stockmeyer, Martin K\\\"onenberg, Oliver Matte","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-21T13:20:42Z","title":"Hydrogen-like atoms in relativistic QED"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5134","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":"sha256:924af4e59f12fcc0ca30df1fb9c547c192709e8a217b258436b0d3e507b0a6b3","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":"27e856b99b9e6e5f1bcf0b3bf64105183763701ea7e3e5238461c3c25108ed9d","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-21T13:20:42Z","title_canon_sha256":"c2e79fc2da5d7f038e051947773649d9c172b11fd906113a8a7f86ad3c3f5637"},"schema_version":"1.0","source":{"id":"1207.5134","kind":"arxiv","version":1}},"canonical_sha256":"ac5d4944531ccdded628dfc38d3fb5d5ebb5ac65f29e6a0445d37990d2ebba1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac5d4944531ccdded628dfc38d3fb5d5ebb5ac65f29e6a0445d37990d2ebba1d","first_computed_at":"2026-05-18T02:59:45.128346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:45.128346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kn3KEcwBC/e7tLhGmO+lRpfzV1iv+naWUOqGJ0xeecStl4D6L7WSlEopOtWROVmUGJ+TzBE0E24hIp4ROEO1Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:45.128793Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.5134","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:924af4e59f12fcc0ca30df1fb9c547c192709e8a217b258436b0d3e507b0a6b3","sha256:def6ef183365b682c6f74e31d42d2cfd5d3cfc423bdb6c3dc550618c7f62af27"],"state_sha256":"ad23cf45dea952a8d9348b5317a71c523b352e2570d1daf8c49fade62426e5b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BUKCPp5+BlxyLXKbs0Oqsuyoi9AAaIdgU7ExHkOzEB4NG237h7/cq6T6imXTcp5o+yegBW9W03CQsrroBcMTCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T03:52:14.115346Z","bundle_sha256":"2ece1f979581e9482b4d771575a2724919b749f06a09ebfed37c9a3b857252d3"}}