{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2DTKK4SO6QD3WYR57FWSDQZAPX","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":"6d6536d87c09a04cfc7202c1348f011aea4224110846fd0cf811494177b2761e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-05-19T13:45:20Z","title_canon_sha256":"b42f2a6c5f68a3130b72ea6eff503cbd9c42ad5f5d1e6131da4c10fbbb8bbe89"},"schema_version":"1.0","source":{"id":"1705.08745","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.08745","created_at":"2026-05-18T00:43:44Z"},{"alias_kind":"arxiv_version","alias_value":"1705.08745v1","created_at":"2026-05-18T00:43:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.08745","created_at":"2026-05-18T00:43:44Z"},{"alias_kind":"pith_short_12","alias_value":"2DTKK4SO6QD3","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2DTKK4SO6QD3WYR5","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2DTKK4SO","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:3d510b24b02226ec4be5ce2edaa2e7a4e85d50f16fa0ff2c4fb901e7aaa2c479","target":"graph","created_at":"2026-05-18T00:43:44Z","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 Heisenberg-Euler-type model of nonlinear electrodynamics with two parameters. Heisenberg-Euler electrodynamics is a particular case of this model. Corrections to Coulomb's law at $r\\rightarrow\\infty$ are obtained and energy conditions are studied. The total electrostatic energy of charged particles is finite. The charged black hole solution in the framework of nonlinear electrodynamics is investigated. We find the asymptotic of the metric and mass functions at $r\\rightarrow\\infty$. Corrections to the Reissner-Nordstr\\\"{o}m solution are obtained.","authors_text":"S. I. Kruglov","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-05-19T13:45:20Z","title":"Remarks on Heisenberg-Euler-type electrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08745","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":"sha256:95a19c08e8a7425ff610bd405d7ebec28eeac84721dfd8ad3ddba1ebb45e8d7b","target":"record","created_at":"2026-05-18T00:43:44Z","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":"6d6536d87c09a04cfc7202c1348f011aea4224110846fd0cf811494177b2761e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-05-19T13:45:20Z","title_canon_sha256":"b42f2a6c5f68a3130b72ea6eff503cbd9c42ad5f5d1e6131da4c10fbbb8bbe89"},"schema_version":"1.0","source":{"id":"1705.08745","kind":"arxiv","version":1}},"canonical_sha256":"d0e6a5724ef407bb623df96d21c3207dc21cc840f0c0a7a90cec3a773e70b3c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0e6a5724ef407bb623df96d21c3207dc21cc840f0c0a7a90cec3a773e70b3c4","first_computed_at":"2026-05-18T00:43:44.373734Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:44.373734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3+KJVbMSFNIahxAz7+g6/ty9L6mypmUkRXl9sVuLwmhNSlZnFwVIMKl2cO/33KTtrmCe1Kfi/RS7HS5zMoIxCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:44.374288Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.08745","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95a19c08e8a7425ff610bd405d7ebec28eeac84721dfd8ad3ddba1ebb45e8d7b","sha256:3d510b24b02226ec4be5ce2edaa2e7a4e85d50f16fa0ff2c4fb901e7aaa2c479"],"state_sha256":"bce963f09cd20ed6c47aa98071eb73e34caaee91eece8fb8e1dcdb310747852d"}