{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ADNEQPCXB22WYZJDOXJUCCN444","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":"c80419f795835dc264e68211c690f0724fbe250f281f9fac212699e5c1cf895e","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-04-26T12:00:25Z","title_canon_sha256":"0c2b853a55c38a3e6a2db99e0412c20fdda11762d97ccc401061b2159ca4a2a1"},"schema_version":"1.0","source":{"id":"1404.6636","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6636","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6636v1","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6636","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"pith_short_12","alias_value":"ADNEQPCXB22W","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"ADNEQPCXB22WYZJD","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"ADNEQPCX","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:4488370109a1d9fa92cbf1377036ccf32d2ac208b763705c8e9606d411b7a692","target":"graph","created_at":"2026-05-18T01:00:40Z","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 a hamiltonian system on the real line, consisting of real scalar field $\\phi(x,t)$ and point particle with trajectory $y(t)$. The dynamics of this system is defined by the system of two equations: wave equation for the field, <<radiated>> by the point particle, and Newton's equation for the particle in its own field. We find the solution where the particle is strongly damped, but the kinetic and interaction energies of the field increase linearly in time, in despite of the full energy conservation.","authors_text":"S. A. Pirogov, V. A. Malyshev","cross_cats":["math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-04-26T12:00:25Z","title":"Self-interaction model of classical point particle in one-dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6636","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":"sha256:6038e555f580daffae72519a4d5a5248b966033eafc56f42e5d0ba1a716c0b3e","target":"record","created_at":"2026-05-18T01:00:40Z","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":"c80419f795835dc264e68211c690f0724fbe250f281f9fac212699e5c1cf895e","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-04-26T12:00:25Z","title_canon_sha256":"0c2b853a55c38a3e6a2db99e0412c20fdda11762d97ccc401061b2159ca4a2a1"},"schema_version":"1.0","source":{"id":"1404.6636","kind":"arxiv","version":1}},"canonical_sha256":"00da483c570eb56c652375d34109bce71d8747afd9badae51844831119880e57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00da483c570eb56c652375d34109bce71d8747afd9badae51844831119880e57","first_computed_at":"2026-05-18T01:00:40.823355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:40.823355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YQbpVhP7w2/2bzMXWPgd7ZpjUgXxN6bbP3WW0bWMLsjNXK4yu0biVIr/ZSi8FWmws+53BEhrkzBu48Y74kg5AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:40.823752Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6636","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6038e555f580daffae72519a4d5a5248b966033eafc56f42e5d0ba1a716c0b3e","sha256:4488370109a1d9fa92cbf1377036ccf32d2ac208b763705c8e9606d411b7a692"],"state_sha256":"ed2651aaf83d93b0847f9239a95ec2fc1aca44a217f9d712f3d8940c9a4fb847"}