{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RGYH6PB52VX5OODKVZPKLYNOY5","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":"f809c2c8730b4e464ef8d5e7995cd97d829a2aa6e0affc2dd283540128180202","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-12-30T11:42:53Z","title_canon_sha256":"06783492d8f51345f3d7596510f1b027124022309af7bd25b713dae744410494"},"schema_version":"1.0","source":{"id":"1612.09463","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.09463","created_at":"2026-05-18T00:45:43Z"},{"alias_kind":"arxiv_version","alias_value":"1612.09463v2","created_at":"2026-05-18T00:45:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.09463","created_at":"2026-05-18T00:45:43Z"},{"alias_kind":"pith_short_12","alias_value":"RGYH6PB52VX5","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RGYH6PB52VX5OODK","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RGYH6PB5","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:324d138d59978143e55adc01c50cb079d8aeac7ccac1808214fa660a065925bf","target":"graph","created_at":"2026-05-18T00:45:43Z","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 poles in the $S$-matrix of perturbative QED are generated by the {\\em divergence} of the expansion in $\\alpha$. The perturbative corrections are necessarily singular when expanding around free, \\order{\\alpha^0} $in$ and $out$ states that have no overlap with finite-sized atomic wave functions. Nevertheless, measurables such as binding energies do have well-behaved expansions in powers of $\\alpha$ (and $\\log\\alpha$).\n  It is desirable to formulate the concept of \"lowest order\" for gauge theory bound states such that higher order corrections vanish in the $\\alpha \\to 0$ limit. This m","authors_text":"Paul Hoyer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-12-30T11:42:53Z","title":"Born Level Bound States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.09463","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:ab742bc2b6be105f1b9e30742e3bc1135ee947b8dd3a8a858356a0b6a686dfcd","target":"record","created_at":"2026-05-18T00:45:43Z","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":"f809c2c8730b4e464ef8d5e7995cd97d829a2aa6e0affc2dd283540128180202","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-12-30T11:42:53Z","title_canon_sha256":"06783492d8f51345f3d7596510f1b027124022309af7bd25b713dae744410494"},"schema_version":"1.0","source":{"id":"1612.09463","kind":"arxiv","version":2}},"canonical_sha256":"89b07f3c3dd56fd7386aae5ea5e1aec749e30244f559d50fda8ff4b7db0fecfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89b07f3c3dd56fd7386aae5ea5e1aec749e30244f559d50fda8ff4b7db0fecfd","first_computed_at":"2026-05-18T00:45:43.475659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:43.475659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WvonGtns8+q3iZ7lQwMMT4EYZjLYobjrrV7ZbKBIwBDFK7poCqASQ7n9nteRaUpCCmX2j3EmJElRHR+nHhtjDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:43.476384Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.09463","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab742bc2b6be105f1b9e30742e3bc1135ee947b8dd3a8a858356a0b6a686dfcd","sha256:324d138d59978143e55adc01c50cb079d8aeac7ccac1808214fa660a065925bf"],"state_sha256":"090f87e93e5be425409b88a597a8405204837698c5ac7d97580ba52dc213c0f5"}