{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:OH7UDITAHBRKC7ZLNFRVGY2VVX","short_pith_number":"pith:OH7UDITA","canonical_record":{"source":{"id":"1105.3981","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-05-19T20:11:32Z","cross_cats_sorted":[],"title_canon_sha256":"fe78fb866433f6550ba55ed3884ff4318ace11830f1635c15da6e4e343f505ae","abstract_canon_sha256":"6f689e50b73f72fee63ef6450fd2ae6564c87b2fe1bdccb2aac48af5f94fb797"},"schema_version":"1.0"},"canonical_sha256":"71ff41a2603862a17f2b6963536355ade7e2ef988713ab35a53a53d15edde51f","source":{"kind":"arxiv","id":"1105.3981","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3981","created_at":"2026-05-18T02:01:53Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3981v2","created_at":"2026-05-18T02:01:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3981","created_at":"2026-05-18T02:01:53Z"},{"alias_kind":"pith_short_12","alias_value":"OH7UDITAHBRK","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OH7UDITAHBRKC7ZL","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OH7UDITA","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:OH7UDITAHBRKC7ZLNFRVGY2VVX","target":"record","payload":{"canonical_record":{"source":{"id":"1105.3981","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-05-19T20:11:32Z","cross_cats_sorted":[],"title_canon_sha256":"fe78fb866433f6550ba55ed3884ff4318ace11830f1635c15da6e4e343f505ae","abstract_canon_sha256":"6f689e50b73f72fee63ef6450fd2ae6564c87b2fe1bdccb2aac48af5f94fb797"},"schema_version":"1.0"},"canonical_sha256":"71ff41a2603862a17f2b6963536355ade7e2ef988713ab35a53a53d15edde51f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:53.908759Z","signature_b64":"AdTLLjbCVuXNNLCm5irt2YTxXkS3EixTH9GPs+SuxXCyPFfcpgYyANnfgj9O7I+1KLo7/b4tQLuRF39YXAs2DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71ff41a2603862a17f2b6963536355ade7e2ef988713ab35a53a53d15edde51f","last_reissued_at":"2026-05-18T02:01:53.908021Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:53.908021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.3981","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:01:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A7hcONm5j6mFfjnXh55yZ/h/zIiFo+gJgBU8Di5Rr8NfRA1OV4xpUIKuNNKhaSukDTVt/xtffYpb8hYnAW6uDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:07:16.220420Z"},"content_sha256":"410eae1a060945deb10eb54e2c3d2e3eae44994c9305b5fe404c6ae7dc930cb7","schema_version":"1.0","event_id":"sha256:410eae1a060945deb10eb54e2c3d2e3eae44994c9305b5fe404c6ae7dc930cb7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:OH7UDITAHBRKC7ZLNFRVGY2VVX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytical model for electromagnetic cascades in rotating electric field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"E. N. Nerush, I. Yu. Kostyukov, V. F. Bashmakov","submitted_at":"2011-05-19T20:11:32Z","abstract_excerpt":"Electromagnetic cascades attract a lot of attention as an important QED effect that will reveal itself in various electromagnetic field configurations at ultrahigh intensities. We study cascade dynamics in rotating electric field analytically and numerically. The kinetic equations for the electron-positron plasma and gamma-quanta are formulated. The scaling laws are derived and analyzed. For the cascades arising far above the threshold the dependence of the cascade parameters on the field frequency is derived. The spectra of high-energy cascade particles are calculated. The analytical results "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3981","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:01:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ohEJ1A5IVomb1ip1qSg94IWvdK+n2f0mb95BTllbtgURGNJwOwlVh7ZshSAhPBgOPXN7i/SWS6QtKGwIPKsNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:07:16.220979Z"},"content_sha256":"f82dcd01ba8b255073ed403142535e5375df284d1f00afc30c6470a1b783b9ab","schema_version":"1.0","event_id":"sha256:f82dcd01ba8b255073ed403142535e5375df284d1f00afc30c6470a1b783b9ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OH7UDITAHBRKC7ZLNFRVGY2VVX/bundle.json","state_url":"https://pith.science/pith/OH7UDITAHBRKC7ZLNFRVGY2VVX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OH7UDITAHBRKC7ZLNFRVGY2VVX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T03:07:16Z","links":{"resolver":"https://pith.science/pith/OH7UDITAHBRKC7ZLNFRVGY2VVX","bundle":"https://pith.science/pith/OH7UDITAHBRKC7ZLNFRVGY2VVX/bundle.json","state":"https://pith.science/pith/OH7UDITAHBRKC7ZLNFRVGY2VVX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OH7UDITAHBRKC7ZLNFRVGY2VVX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OH7UDITAHBRKC7ZLNFRVGY2VVX","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":"6f689e50b73f72fee63ef6450fd2ae6564c87b2fe1bdccb2aac48af5f94fb797","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-05-19T20:11:32Z","title_canon_sha256":"fe78fb866433f6550ba55ed3884ff4318ace11830f1635c15da6e4e343f505ae"},"schema_version":"1.0","source":{"id":"1105.3981","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3981","created_at":"2026-05-18T02:01:53Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3981v2","created_at":"2026-05-18T02:01:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3981","created_at":"2026-05-18T02:01:53Z"},{"alias_kind":"pith_short_12","alias_value":"OH7UDITAHBRK","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OH7UDITAHBRKC7ZL","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OH7UDITA","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:f82dcd01ba8b255073ed403142535e5375df284d1f00afc30c6470a1b783b9ab","target":"graph","created_at":"2026-05-18T02:01:53Z","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":"Electromagnetic cascades attract a lot of attention as an important QED effect that will reveal itself in various electromagnetic field configurations at ultrahigh intensities. We study cascade dynamics in rotating electric field analytically and numerically. The kinetic equations for the electron-positron plasma and gamma-quanta are formulated. The scaling laws are derived and analyzed. For the cascades arising far above the threshold the dependence of the cascade parameters on the field frequency is derived. The spectra of high-energy cascade particles are calculated. The analytical results ","authors_text":"E. N. Nerush, I. Yu. Kostyukov, V. F. Bashmakov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-05-19T20:11:32Z","title":"Analytical model for electromagnetic cascades in rotating electric field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3981","kind":"arxiv","version":2},"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":"sha256:410eae1a060945deb10eb54e2c3d2e3eae44994c9305b5fe404c6ae7dc930cb7","target":"record","created_at":"2026-05-18T02:01:53Z","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":"6f689e50b73f72fee63ef6450fd2ae6564c87b2fe1bdccb2aac48af5f94fb797","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-05-19T20:11:32Z","title_canon_sha256":"fe78fb866433f6550ba55ed3884ff4318ace11830f1635c15da6e4e343f505ae"},"schema_version":"1.0","source":{"id":"1105.3981","kind":"arxiv","version":2}},"canonical_sha256":"71ff41a2603862a17f2b6963536355ade7e2ef988713ab35a53a53d15edde51f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71ff41a2603862a17f2b6963536355ade7e2ef988713ab35a53a53d15edde51f","first_computed_at":"2026-05-18T02:01:53.908021Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:53.908021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AdTLLjbCVuXNNLCm5irt2YTxXkS3EixTH9GPs+SuxXCyPFfcpgYyANnfgj9O7I+1KLo7/b4tQLuRF39YXAs2DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:53.908759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.3981","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:410eae1a060945deb10eb54e2c3d2e3eae44994c9305b5fe404c6ae7dc930cb7","sha256:f82dcd01ba8b255073ed403142535e5375df284d1f00afc30c6470a1b783b9ab"],"state_sha256":"c89b4b3848e2fce91f01f9f7a550d7989e6f715c79baca3067a324327aebef0b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hz4+gpbF5PAj8OtUjjjO3rqOtAl3wVyEN57CZxHPRB0j+Oqqhqj36QLKi1qh2K4Eocx4PPAjOe4JwNeiMJlQCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T03:07:16.224593Z","bundle_sha256":"ba36353dda7f3d2457eba32b814cd40057248747fc2bd8d24c09563395be3d4f"}}