{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GTM4MZFYMWDHSJNI32JAQWOBCR","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":"8ec04385112aa90afe4e03bc2b6a081d439d65f13e21b19b707b607636002f36","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-07-17T15:02:57Z","title_canon_sha256":"444a2fb17f5650cf8675ad1c69329ca9d84b6bde93fbc0a51272a74d37d315f2"},"schema_version":"1.0","source":{"id":"1507.04991","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.04991","created_at":"2026-05-18T01:36:42Z"},{"alias_kind":"arxiv_version","alias_value":"1507.04991v1","created_at":"2026-05-18T01:36:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.04991","created_at":"2026-05-18T01:36:42Z"},{"alias_kind":"pith_short_12","alias_value":"GTM4MZFYMWDH","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GTM4MZFYMWDHSJNI","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GTM4MZFY","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:a35e5adbd376fc69c732bc59857393bd95f942f2117ec0e7ff5f325cde760d08","target":"graph","created_at":"2026-05-18T01:36:42Z","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":"Due to the finite speed of light, direct electrodynamic interaction between point charges can naturally be described by a system of ordinary differential equations involving delays. As electrodynamics is time-symmetric, these delays appear as time-like retarded as well as advanced arguments in the fundamental equations of motion -- the so-called Fokker-Schwarzschild-Tetrode (FST) equations. However, for special initial conditions breaking the time-symmetry, effective equations can be derived which are purely retarded. Dropping radiation terms, which in many situations are very small, the latte","authors_text":"Dirk-Andr\\'e Deckert, G\\\"unter Hinrichs","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-07-17T15:02:57Z","title":"Electrodynamic Two-Body Problem for Prescribed Initial Data on the Straight Line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04991","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":"sha256:051cdfb8a17d279f57bbd0a9c805b15bdf6ea554227ca655c976fa3bb01cfbe8","target":"record","created_at":"2026-05-18T01:36:42Z","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":"8ec04385112aa90afe4e03bc2b6a081d439d65f13e21b19b707b607636002f36","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-07-17T15:02:57Z","title_canon_sha256":"444a2fb17f5650cf8675ad1c69329ca9d84b6bde93fbc0a51272a74d37d315f2"},"schema_version":"1.0","source":{"id":"1507.04991","kind":"arxiv","version":1}},"canonical_sha256":"34d9c664b865867925a8de920859c1146a1fbc5edb36e93124fda4b7d89f54d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34d9c664b865867925a8de920859c1146a1fbc5edb36e93124fda4b7d89f54d5","first_computed_at":"2026-05-18T01:36:42.213995Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:42.213995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yHUvt5+o48U0vT4126lvafy4CM9gQjhmCQF6YwZzXMGsf1S211EVgBXEOFMm6M/SgHcc5cw61eXOgPwNKrkyBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:42.214629Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.04991","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:051cdfb8a17d279f57bbd0a9c805b15bdf6ea554227ca655c976fa3bb01cfbe8","sha256:a35e5adbd376fc69c732bc59857393bd95f942f2117ec0e7ff5f325cde760d08"],"state_sha256":"2928423d1f790b99d264444b56226bf3605c7395a7b38b0692518c810dd9f30a"}