{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:4TWA73AS2Y6HOTVYEL6W7UXVEA","short_pith_number":"pith:4TWA73AS","schema_version":"1.0","canonical_sha256":"e4ec0fec12d63c774eb822fd6fd2f5202ad7ee43de935a2162fbc8e120619968","source":{"kind":"arxiv","id":"1509.00845","version":2},"attestation_state":"computed","paper":{"title":"Verification and Invalidation of the Theory of Symplectic Manifold with Contact Degeneracies as Applied to the Classical Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Igor V. Sokolov","submitted_at":"2015-09-02T16:04:38Z","abstract_excerpt":"A theory of Symplectic Manifold with Contact Degeneracies (SMCD) was developed in [Zot'ev,2007]. The symplectic geometry employs an anti-symmetric tensor (closed differential form) such as a field tensor used in the classical field theory. The SMCD theory studies degeneracies of such form. In [Zot'ev,2011] the SMCD theory was applied to study a front of an electromagnetic pulsed field propagating into a region with no field. Here, the result of [Zot'ev,2011] is compared with the problem solution obtained using the well-known method presented in Whitham, G.B., Linear and nonlinear waves, 1974. "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1509.00845","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2015-09-02T16:04:38Z","cross_cats_sorted":[],"title_canon_sha256":"eb6119f80984c4a8202bd75bb707ba3a62bf54653169a896a82bcde4b5f33699","abstract_canon_sha256":"66b568950cb6adb2968d3115d30497a00466955889e508912eafa2a5e279c2ae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:15.124782Z","signature_b64":"cMsvuYro4heej2YQYA03301Zd9r+FRyu0bbz/j8Ca7jehBw1ysRufGQhv0WwIS1uTf36uOAU73peB2l4R1QKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4ec0fec12d63c774eb822fd6fd2f5202ad7ee43de935a2162fbc8e120619968","last_reissued_at":"2026-05-18T01:33:15.124216Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:15.124216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Verification and Invalidation of the Theory of Symplectic Manifold with Contact Degeneracies as Applied to the Classical Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Igor V. Sokolov","submitted_at":"2015-09-02T16:04:38Z","abstract_excerpt":"A theory of Symplectic Manifold with Contact Degeneracies (SMCD) was developed in [Zot'ev,2007]. The symplectic geometry employs an anti-symmetric tensor (closed differential form) such as a field tensor used in the classical field theory. The SMCD theory studies degeneracies of such form. In [Zot'ev,2011] the SMCD theory was applied to study a front of an electromagnetic pulsed field propagating into a region with no field. Here, the result of [Zot'ev,2011] is compared with the problem solution obtained using the well-known method presented in Whitham, G.B., Linear and nonlinear waves, 1974. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00845","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1509.00845","created_at":"2026-05-18T01:33:15.124286+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.00845v2","created_at":"2026-05-18T01:33:15.124286+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00845","created_at":"2026-05-18T01:33:15.124286+00:00"},{"alias_kind":"pith_short_12","alias_value":"4TWA73AS2Y6H","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"4TWA73AS2Y6HOTVY","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"4TWA73AS","created_at":"2026-05-18T12:29:05.191682+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4TWA73AS2Y6HOTVYEL6W7UXVEA","json":"https://pith.science/pith/4TWA73AS2Y6HOTVYEL6W7UXVEA.json","graph_json":"https://pith.science/api/pith-number/4TWA73AS2Y6HOTVYEL6W7UXVEA/graph.json","events_json":"https://pith.science/api/pith-number/4TWA73AS2Y6HOTVYEL6W7UXVEA/events.json","paper":"https://pith.science/paper/4TWA73AS"},"agent_actions":{"view_html":"https://pith.science/pith/4TWA73AS2Y6HOTVYEL6W7UXVEA","download_json":"https://pith.science/pith/4TWA73AS2Y6HOTVYEL6W7UXVEA.json","view_paper":"https://pith.science/paper/4TWA73AS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.00845&json=true","fetch_graph":"https://pith.science/api/pith-number/4TWA73AS2Y6HOTVYEL6W7UXVEA/graph.json","fetch_events":"https://pith.science/api/pith-number/4TWA73AS2Y6HOTVYEL6W7UXVEA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4TWA73AS2Y6HOTVYEL6W7UXVEA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4TWA73AS2Y6HOTVYEL6W7UXVEA/action/storage_attestation","attest_author":"https://pith.science/pith/4TWA73AS2Y6HOTVYEL6W7UXVEA/action/author_attestation","sign_citation":"https://pith.science/pith/4TWA73AS2Y6HOTVYEL6W7UXVEA/action/citation_signature","submit_replication":"https://pith.science/pith/4TWA73AS2Y6HOTVYEL6W7UXVEA/action/replication_record"}},"created_at":"2026-05-18T01:33:15.124286+00:00","updated_at":"2026-05-18T01:33:15.124286+00:00"}