{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VIXSP4IWJKO2TKGPXKNCKBPLZR","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":"1ad8467916f600662257ec860a8fb6beee8818d94438f14125dd8aba2524301c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-10-04T08:23:34Z","title_canon_sha256":"2646911c2e8d4389fb9f6cef98a011a21417669713d827610451555ac7b7dd69"},"schema_version":"1.0","source":{"id":"1210.1329","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.1329","created_at":"2026-05-18T00:47:53Z"},{"alias_kind":"arxiv_version","alias_value":"1210.1329v3","created_at":"2026-05-18T00:47:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.1329","created_at":"2026-05-18T00:47:53Z"},{"alias_kind":"pith_short_12","alias_value":"VIXSP4IWJKO2","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VIXSP4IWJKO2TKGP","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VIXSP4IW","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:e7bed3dbcd396579db3e4bfa017534fb8ad90fc53de607912f68317fcd0d500e","target":"graph","created_at":"2026-05-18T00:47:53Z","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 consider asymptotics of the ground state energy of heavy atoms and molecules in the strong external magnetic field and derive it including Schwinger and Dirac corrections (if magnetic field is not too strong). We also consider related topics: an excessive negative charge, ionization energy and excessive positive charge when atoms can still bind into molecules.","authors_text":"Victor Ivrii","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-10-04T08:23:34Z","title":"Asymptotics of the ground state energy of heavy molecules and related topics. II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1329","kind":"arxiv","version":3},"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:c6a4696b21a961a502ff2a9ac55b8e66c3425192187fb12ffd0fd27183d7bb56","target":"record","created_at":"2026-05-18T00:47:53Z","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":"1ad8467916f600662257ec860a8fb6beee8818d94438f14125dd8aba2524301c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-10-04T08:23:34Z","title_canon_sha256":"2646911c2e8d4389fb9f6cef98a011a21417669713d827610451555ac7b7dd69"},"schema_version":"1.0","source":{"id":"1210.1329","kind":"arxiv","version":3}},"canonical_sha256":"aa2f27f1164a9da9a8cfba9a2505ebcc75838537df8286304dac6a17fc26d76c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa2f27f1164a9da9a8cfba9a2505ebcc75838537df8286304dac6a17fc26d76c","first_computed_at":"2026-05-18T00:47:53.829611Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:53.829611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qXFuJj2wGzp2vj1FPw5I2Vrzk4odgxCIA1+ywWujN8sSP1v1V4Kb5XIkmm0HhX7IEsr7Gq6Y+q8wluKjx6fDDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:53.830298Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.1329","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6a4696b21a961a502ff2a9ac55b8e66c3425192187fb12ffd0fd27183d7bb56","sha256:e7bed3dbcd396579db3e4bfa017534fb8ad90fc53de607912f68317fcd0d500e"],"state_sha256":"841c34945d882bf099f7e4b5d2cfa096ffe8ab999bf5a6b16b2ec0cc2619e2e6"}