{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:72XWKNENPIUGEGHCT2TUO2VVE4","short_pith_number":"pith:72XWKNEN","canonical_record":{"source":{"id":"1106.5527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-06-27T21:44:21Z","cross_cats_sorted":[],"title_canon_sha256":"03453d280c4d0aad13f8756038472523559674e9d01e7f9acd7ea0bc690ce83c","abstract_canon_sha256":"0299e422ce6f2f996dc3ae4e679a15ce325218a16e431db520697961a2117e30"},"schema_version":"1.0"},"canonical_sha256":"feaf65348d7a286218e29ea7476ab527331313684c8b054090d7342c570db902","source":{"kind":"arxiv","id":"1106.5527","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5527","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5527v1","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5527","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"pith_short_12","alias_value":"72XWKNENPIUG","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"72XWKNENPIUGEGHC","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"72XWKNEN","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:72XWKNENPIUGEGHCT2TUO2VVE4","target":"record","payload":{"canonical_record":{"source":{"id":"1106.5527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-06-27T21:44:21Z","cross_cats_sorted":[],"title_canon_sha256":"03453d280c4d0aad13f8756038472523559674e9d01e7f9acd7ea0bc690ce83c","abstract_canon_sha256":"0299e422ce6f2f996dc3ae4e679a15ce325218a16e431db520697961a2117e30"},"schema_version":"1.0"},"canonical_sha256":"feaf65348d7a286218e29ea7476ab527331313684c8b054090d7342c570db902","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:12.981217Z","signature_b64":"Hg6GTPkIBrGQ4VNL1CGNsf7KRaVJ4tmD87oKZuRqt0Y//S3jENpeEmlzIi7PdqsCdQZ8P5ZknBvGkenM98tHBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"feaf65348d7a286218e29ea7476ab527331313684c8b054090d7342c570db902","last_reissued_at":"2026-05-18T04:19:12.980790Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:12.980790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.5527","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":"2026-05-18T04:19:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Oz4W13XTnZvQsx1lTKkrmQetC3PdqvFQVo7/d88A2DaJgWx5vStZjdnuLmWwpiFZdImSKf9ZMs/Q7xjbPrXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T08:00:16.773303Z"},"content_sha256":"cc33e8819d69f7219759e66c2b6a157fc117972b23a7b3d76519f74f814ecedd","schema_version":"1.0","event_id":"sha256:cc33e8819d69f7219759e66c2b6a157fc117972b23a7b3d76519f74f814ecedd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:72XWKNENPIUGEGHCT2TUO2VVE4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the attractive plasma-charge system in 2-d","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Carlo Marchioro, Evelyne Miot, Mario Pulvirenti, Silvia Caprino","submitted_at":"2011-06-27T21:44:21Z","abstract_excerpt":"We study a positively charged Vlasov-Poisson plasma in which N negative point charges are immersed. The attractiveness of the system forces us to consider a possibly unbounded plasma density near the charges. We prove the existence of a global in time solution, assuming a suitable initial distribution of the velocities of the plasma particles. Uniqueness remains unsolved."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5527","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":"2026-05-18T04:19:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"loOdzx4dq6dSM2+OetEgPFJLmUbMNCh1iT2f82JmblI1qeZitRzy+aGk7K+Dp3t56aeIBn3IAvU3wuPz56oCCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T08:00:16.773669Z"},"content_sha256":"6bb73ceb9ba657f67e54daed098392fe4d792c2aa6e39717ece3efb4511043d8","schema_version":"1.0","event_id":"sha256:6bb73ceb9ba657f67e54daed098392fe4d792c2aa6e39717ece3efb4511043d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/72XWKNENPIUGEGHCT2TUO2VVE4/bundle.json","state_url":"https://pith.science/pith/72XWKNENPIUGEGHCT2TUO2VVE4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/72XWKNENPIUGEGHCT2TUO2VVE4/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":"2026-06-05T08:00:16Z","links":{"resolver":"https://pith.science/pith/72XWKNENPIUGEGHCT2TUO2VVE4","bundle":"https://pith.science/pith/72XWKNENPIUGEGHCT2TUO2VVE4/bundle.json","state":"https://pith.science/pith/72XWKNENPIUGEGHCT2TUO2VVE4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/72XWKNENPIUGEGHCT2TUO2VVE4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:72XWKNENPIUGEGHCT2TUO2VVE4","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":"0299e422ce6f2f996dc3ae4e679a15ce325218a16e431db520697961a2117e30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-06-27T21:44:21Z","title_canon_sha256":"03453d280c4d0aad13f8756038472523559674e9d01e7f9acd7ea0bc690ce83c"},"schema_version":"1.0","source":{"id":"1106.5527","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5527","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5527v1","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5527","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"pith_short_12","alias_value":"72XWKNENPIUG","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"72XWKNENPIUGEGHC","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"72XWKNEN","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:6bb73ceb9ba657f67e54daed098392fe4d792c2aa6e39717ece3efb4511043d8","target":"graph","created_at":"2026-05-18T04:19:12Z","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 study a positively charged Vlasov-Poisson plasma in which N negative point charges are immersed. The attractiveness of the system forces us to consider a possibly unbounded plasma density near the charges. We prove the existence of a global in time solution, assuming a suitable initial distribution of the velocities of the plasma particles. Uniqueness remains unsolved.","authors_text":"Carlo Marchioro, Evelyne Miot, Mario Pulvirenti, Silvia Caprino","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-06-27T21:44:21Z","title":"On the attractive plasma-charge system in 2-d"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5527","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:cc33e8819d69f7219759e66c2b6a157fc117972b23a7b3d76519f74f814ecedd","target":"record","created_at":"2026-05-18T04:19:12Z","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":"0299e422ce6f2f996dc3ae4e679a15ce325218a16e431db520697961a2117e30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-06-27T21:44:21Z","title_canon_sha256":"03453d280c4d0aad13f8756038472523559674e9d01e7f9acd7ea0bc690ce83c"},"schema_version":"1.0","source":{"id":"1106.5527","kind":"arxiv","version":1}},"canonical_sha256":"feaf65348d7a286218e29ea7476ab527331313684c8b054090d7342c570db902","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"feaf65348d7a286218e29ea7476ab527331313684c8b054090d7342c570db902","first_computed_at":"2026-05-18T04:19:12.980790Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:12.980790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hg6GTPkIBrGQ4VNL1CGNsf7KRaVJ4tmD87oKZuRqt0Y//S3jENpeEmlzIi7PdqsCdQZ8P5ZknBvGkenM98tHBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:12.981217Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.5527","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc33e8819d69f7219759e66c2b6a157fc117972b23a7b3d76519f74f814ecedd","sha256:6bb73ceb9ba657f67e54daed098392fe4d792c2aa6e39717ece3efb4511043d8"],"state_sha256":"0b7a9abef4a60cf4e89426d82d563e67fe40c17b12285ad51c3d6e72cd42d476"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3awStWAVaywREQzfxEdskl+eFU+KKvaON5afLMpjkYBGb/FzW5oxh81lwhRqq6nVp2sm7dHIC1noPmryHjdUAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T08:00:16.775662Z","bundle_sha256":"dabebb55311ecd79401b20458fd7cc0ffd10cb21e1c96d7547fe5bef4ea2c2e1"}}