{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:5QX2TR3GIMVW7M6DZ65MXIRUA3","short_pith_number":"pith:5QX2TR3G","canonical_record":{"source":{"id":"1003.3660","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2010-03-18T19:19:26Z","cross_cats_sorted":["physics.ao-ph"],"title_canon_sha256":"aee8d37e45e4a672249482cd8a59061b38b55f03529a90d7c8427121be1a3e23","abstract_canon_sha256":"55ec282f75edd9d791e6b346381e9d110c365520e96782bd5582dfe0d6a30726"},"schema_version":"1.0"},"canonical_sha256":"ec2fa9c766432b6fb3c3cfbacba23406cdab49a89a655a29a02a1f4bdfb37ff3","source":{"kind":"arxiv","id":"1003.3660","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.3660","created_at":"2026-05-18T04:39:50Z"},{"alias_kind":"arxiv_version","alias_value":"1003.3660v1","created_at":"2026-05-18T04:39:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.3660","created_at":"2026-05-18T04:39:50Z"},{"alias_kind":"pith_short_12","alias_value":"5QX2TR3GIMVW","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5QX2TR3GIMVW7M6D","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5QX2TR3G","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:5QX2TR3GIMVW7M6DZ65MXIRUA3","target":"record","payload":{"canonical_record":{"source":{"id":"1003.3660","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2010-03-18T19:19:26Z","cross_cats_sorted":["physics.ao-ph"],"title_canon_sha256":"aee8d37e45e4a672249482cd8a59061b38b55f03529a90d7c8427121be1a3e23","abstract_canon_sha256":"55ec282f75edd9d791e6b346381e9d110c365520e96782bd5582dfe0d6a30726"},"schema_version":"1.0"},"canonical_sha256":"ec2fa9c766432b6fb3c3cfbacba23406cdab49a89a655a29a02a1f4bdfb37ff3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:50.258459Z","signature_b64":"Mp6hIE1RRAeOlntMe7gtcDey6cMe2Qjj9H5ckeRGDJ7wXeFGeqVGwg1jFqzSeCIV1mEkqgI6yW98QC8KwrcmDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec2fa9c766432b6fb3c3cfbacba23406cdab49a89a655a29a02a1f4bdfb37ff3","last_reissued_at":"2026-05-18T04:39:50.257880Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:50.257880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.3660","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:39:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lyQTIzD5qcUIU4c+YioGAwKC3kFg2ONthSBFy91zZHZxW141l43EHST5L3Nkt/T0IjIpeKOsxmkh87ptCNEIDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:23:22.987280Z"},"content_sha256":"2d1ca473d29720240635ccf2b49053bae058d28e35b92e8e8c56b4ee6caedb18","schema_version":"1.0","event_id":"sha256:2d1ca473d29720240635ccf2b49053bae058d28e35b92e8e8c56b4ee6caedb18"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:5QX2TR3GIMVW7M6DZ65MXIRUA3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Theoretical Studies of Long Lived Plasma Structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.ao-ph"],"primary_cat":"physics.plasm-ph","authors_text":"IZMIRAN), Maxim Dvornikov (Universidad T\\'ecnica Federico Santa Mar\\'ia","submitted_at":"2010-03-18T19:19:26Z","abstract_excerpt":"We construct the model of a long lived plasma structure based on spherically symmetric oscillations of electrons in plasma. Oscillations of electrons are studied in frames of both classical and quantum approaches. We obtain the density profile of electrons and the dispersion relations for these oscillations. The differences between classical and quantum approaches are discussed. Then we study the interaction between electrons participating in spherically symmetric oscillations. We find that this interaction can be attractive and electrons can form bound states. The applications of the obtained"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.3660","kind":"arxiv","version":1},"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":"2026-05-18T04:39:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pVEccsDxetUyNvTzyp/wezEhU6+5D/8/5tALHvJ74qJfHjez3rk5cQc8eI/V+CMS3vYI4NwgSVa12zb0DhUYCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:23:22.987649Z"},"content_sha256":"c72ad8243fe46d874c05162990abc67a46cc49bfd0ffcfafc604347f2f2a7471","schema_version":"1.0","event_id":"sha256:c72ad8243fe46d874c05162990abc67a46cc49bfd0ffcfafc604347f2f2a7471"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5QX2TR3GIMVW7M6DZ65MXIRUA3/bundle.json","state_url":"https://pith.science/pith/5QX2TR3GIMVW7M6DZ65MXIRUA3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5QX2TR3GIMVW7M6DZ65MXIRUA3/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":"2026-06-23T16:23:22Z","links":{"resolver":"https://pith.science/pith/5QX2TR3GIMVW7M6DZ65MXIRUA3","bundle":"https://pith.science/pith/5QX2TR3GIMVW7M6DZ65MXIRUA3/bundle.json","state":"https://pith.science/pith/5QX2TR3GIMVW7M6DZ65MXIRUA3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5QX2TR3GIMVW7M6DZ65MXIRUA3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5QX2TR3GIMVW7M6DZ65MXIRUA3","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":"55ec282f75edd9d791e6b346381e9d110c365520e96782bd5582dfe0d6a30726","cross_cats_sorted":["physics.ao-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2010-03-18T19:19:26Z","title_canon_sha256":"aee8d37e45e4a672249482cd8a59061b38b55f03529a90d7c8427121be1a3e23"},"schema_version":"1.0","source":{"id":"1003.3660","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.3660","created_at":"2026-05-18T04:39:50Z"},{"alias_kind":"arxiv_version","alias_value":"1003.3660v1","created_at":"2026-05-18T04:39:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.3660","created_at":"2026-05-18T04:39:50Z"},{"alias_kind":"pith_short_12","alias_value":"5QX2TR3GIMVW","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5QX2TR3GIMVW7M6D","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5QX2TR3G","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:c72ad8243fe46d874c05162990abc67a46cc49bfd0ffcfafc604347f2f2a7471","target":"graph","created_at":"2026-05-18T04:39:50Z","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 construct the model of a long lived plasma structure based on spherically symmetric oscillations of electrons in plasma. Oscillations of electrons are studied in frames of both classical and quantum approaches. We obtain the density profile of electrons and the dispersion relations for these oscillations. The differences between classical and quantum approaches are discussed. Then we study the interaction between electrons participating in spherically symmetric oscillations. We find that this interaction can be attractive and electrons can form bound states. The applications of the obtained","authors_text":"IZMIRAN), Maxim Dvornikov (Universidad T\\'ecnica Federico Santa Mar\\'ia","cross_cats":["physics.ao-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2010-03-18T19:19:26Z","title":"Theoretical Studies of Long Lived Plasma Structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.3660","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":"sha256:2d1ca473d29720240635ccf2b49053bae058d28e35b92e8e8c56b4ee6caedb18","target":"record","created_at":"2026-05-18T04:39:50Z","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":"55ec282f75edd9d791e6b346381e9d110c365520e96782bd5582dfe0d6a30726","cross_cats_sorted":["physics.ao-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2010-03-18T19:19:26Z","title_canon_sha256":"aee8d37e45e4a672249482cd8a59061b38b55f03529a90d7c8427121be1a3e23"},"schema_version":"1.0","source":{"id":"1003.3660","kind":"arxiv","version":1}},"canonical_sha256":"ec2fa9c766432b6fb3c3cfbacba23406cdab49a89a655a29a02a1f4bdfb37ff3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec2fa9c766432b6fb3c3cfbacba23406cdab49a89a655a29a02a1f4bdfb37ff3","first_computed_at":"2026-05-18T04:39:50.257880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:50.257880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mp6hIE1RRAeOlntMe7gtcDey6cMe2Qjj9H5ckeRGDJ7wXeFGeqVGwg1jFqzSeCIV1mEkqgI6yW98QC8KwrcmDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:50.258459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.3660","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d1ca473d29720240635ccf2b49053bae058d28e35b92e8e8c56b4ee6caedb18","sha256:c72ad8243fe46d874c05162990abc67a46cc49bfd0ffcfafc604347f2f2a7471"],"state_sha256":"f91d53d27a7e2f12bd8aaec7c4b5f0fd6bfe36ca4a5c2d1881a9e854b8077509"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AGEnLNGU8zzAkODkwJ3LSMkswc+XZiLGMqUPC+9ue2yu2MjdQtXcdjsPDwhvIY9Oobtzytrykq7SfZJRpreWBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T16:23:22.989576Z","bundle_sha256":"53d813e25c9a7db22843f87138cf7643db0997eaba287572c43cb6c45d5c583a"}}