{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:NH7TYAUDF3K3FMVSWHXYKKFMFG","short_pith_number":"pith:NH7TYAUD","canonical_record":{"source":{"id":"1211.5034","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-11-21T14:01:22Z","cross_cats_sorted":[],"title_canon_sha256":"1f75a39eaeb25d5f29d9a5f5e9b3281288342799ef814c47942621c1f24871ef","abstract_canon_sha256":"6c2acc0604672e95d551d8935929bc0321ab9ed916d3bcdb27748bcb93a07cd3"},"schema_version":"1.0"},"canonical_sha256":"69ff3c02832ed5b2b2b2b1ef8528ac2999c67231a2765b352363de16d1350c50","source":{"kind":"arxiv","id":"1211.5034","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5034","created_at":"2026-05-18T03:40:15Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5034v1","created_at":"2026-05-18T03:40:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5034","created_at":"2026-05-18T03:40:15Z"},{"alias_kind":"pith_short_12","alias_value":"NH7TYAUDF3K3","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NH7TYAUDF3K3FMVS","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NH7TYAUD","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:NH7TYAUDF3K3FMVSWHXYKKFMFG","target":"record","payload":{"canonical_record":{"source":{"id":"1211.5034","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-11-21T14:01:22Z","cross_cats_sorted":[],"title_canon_sha256":"1f75a39eaeb25d5f29d9a5f5e9b3281288342799ef814c47942621c1f24871ef","abstract_canon_sha256":"6c2acc0604672e95d551d8935929bc0321ab9ed916d3bcdb27748bcb93a07cd3"},"schema_version":"1.0"},"canonical_sha256":"69ff3c02832ed5b2b2b2b1ef8528ac2999c67231a2765b352363de16d1350c50","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:15.223210Z","signature_b64":"lPvNmjzT+JnUkckUIEhq5QxD3COmkIB3D1RVvf9jB3aPvWGOSif8roLAbJUdX/8moRPCjaYP5zOXmNU52y2uAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69ff3c02832ed5b2b2b2b1ef8528ac2999c67231a2765b352363de16d1350c50","last_reissued_at":"2026-05-18T03:40:15.222431Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:15.222431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.5034","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":"2026-05-18T03:40:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gQl0z2KVyk/FsaOe6JilNYISYpoXhBG0EerBZm7J2pGDO2Q691a5V3S05RjA8ZWsbCkU/DVlyF7BuURB3fE+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T15:22:16.360730Z"},"content_sha256":"211afa1416cb381d5a9512d36364fd346e5a92c521ebe5dfe00ded025ea426b2","schema_version":"1.0","event_id":"sha256:211afa1416cb381d5a9512d36364fd346e5a92c521ebe5dfe00ded025ea426b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:NH7TYAUDF3K3FMVSWHXYKKFMFG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The well-posedness of the compressible non-isentropic Euler-Maxwell system in R^3","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Yong Wang, Zhong Tan","submitted_at":"2012-11-21T14:01:22Z","abstract_excerpt":"We first construct the global unique solution by assuming that the initial data is small in the $H^3$ norm but the higher order derivatives could be large. If further the initial data belongs to $\\Dot{H}^{-s}$ ($0\\le s<3/2$) or $\\dot{B}_{2,\\infty}^{-s}$ ($0< s\\le3/2$), we obtain the various decay rates of the solution and its higher order derivatives. In particular, the decay rates of the density and temperature of electron could reach to $(1+t)^{-13/4}$ in $L^2$ norm."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5034","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":"2026-05-18T03:40:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yX6Wp9m4SgEI8XtekrOv6H+nW5+GXLzQrF/S64WAyu0zJh7Heqobt95kWRHpaq9SvfjdDSom21gfUv+Zs3CxCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T15:22:16.361413Z"},"content_sha256":"a997a731de3c49f6b0cf8698f6228682e7acd2baa96805558d72ce23e97cfa4d","schema_version":"1.0","event_id":"sha256:a997a731de3c49f6b0cf8698f6228682e7acd2baa96805558d72ce23e97cfa4d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NH7TYAUDF3K3FMVSWHXYKKFMFG/bundle.json","state_url":"https://pith.science/pith/NH7TYAUDF3K3FMVSWHXYKKFMFG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NH7TYAUDF3K3FMVSWHXYKKFMFG/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":"2026-05-28T15:22:16Z","links":{"resolver":"https://pith.science/pith/NH7TYAUDF3K3FMVSWHXYKKFMFG","bundle":"https://pith.science/pith/NH7TYAUDF3K3FMVSWHXYKKFMFG/bundle.json","state":"https://pith.science/pith/NH7TYAUDF3K3FMVSWHXYKKFMFG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NH7TYAUDF3K3FMVSWHXYKKFMFG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NH7TYAUDF3K3FMVSWHXYKKFMFG","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":"6c2acc0604672e95d551d8935929bc0321ab9ed916d3bcdb27748bcb93a07cd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-11-21T14:01:22Z","title_canon_sha256":"1f75a39eaeb25d5f29d9a5f5e9b3281288342799ef814c47942621c1f24871ef"},"schema_version":"1.0","source":{"id":"1211.5034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5034","created_at":"2026-05-18T03:40:15Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5034v1","created_at":"2026-05-18T03:40:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5034","created_at":"2026-05-18T03:40:15Z"},{"alias_kind":"pith_short_12","alias_value":"NH7TYAUDF3K3","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NH7TYAUDF3K3FMVS","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NH7TYAUD","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:a997a731de3c49f6b0cf8698f6228682e7acd2baa96805558d72ce23e97cfa4d","target":"graph","created_at":"2026-05-18T03:40:15Z","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 first construct the global unique solution by assuming that the initial data is small in the $H^3$ norm but the higher order derivatives could be large. If further the initial data belongs to $\\Dot{H}^{-s}$ ($0\\le s<3/2$) or $\\dot{B}_{2,\\infty}^{-s}$ ($0< s\\le3/2$), we obtain the various decay rates of the solution and its higher order derivatives. In particular, the decay rates of the density and temperature of electron could reach to $(1+t)^{-13/4}$ in $L^2$ norm.","authors_text":"Yong Wang, Zhong Tan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-11-21T14:01:22Z","title":"The well-posedness of the compressible non-isentropic Euler-Maxwell system in R^3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5034","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":"sha256:211afa1416cb381d5a9512d36364fd346e5a92c521ebe5dfe00ded025ea426b2","target":"record","created_at":"2026-05-18T03:40:15Z","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":"6c2acc0604672e95d551d8935929bc0321ab9ed916d3bcdb27748bcb93a07cd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-11-21T14:01:22Z","title_canon_sha256":"1f75a39eaeb25d5f29d9a5f5e9b3281288342799ef814c47942621c1f24871ef"},"schema_version":"1.0","source":{"id":"1211.5034","kind":"arxiv","version":1}},"canonical_sha256":"69ff3c02832ed5b2b2b2b1ef8528ac2999c67231a2765b352363de16d1350c50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69ff3c02832ed5b2b2b2b1ef8528ac2999c67231a2765b352363de16d1350c50","first_computed_at":"2026-05-18T03:40:15.222431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:15.222431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lPvNmjzT+JnUkckUIEhq5QxD3COmkIB3D1RVvf9jB3aPvWGOSif8roLAbJUdX/8moRPCjaYP5zOXmNU52y2uAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:15.223210Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.5034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:211afa1416cb381d5a9512d36364fd346e5a92c521ebe5dfe00ded025ea426b2","sha256:a997a731de3c49f6b0cf8698f6228682e7acd2baa96805558d72ce23e97cfa4d"],"state_sha256":"929a56e8328d029a2e61f54b1ba8917fd8c3ac8ca32fb847e08d34c8bb0fe2d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l5Jjm07pnYaWYj2byvDlOO65zK07vB0kn5acTXPWOFXYhFC8P/tY7xtFrOs2VA0j1ipe5ATp5JuNluSa6JRUDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T15:22:16.365015Z","bundle_sha256":"9a53cb3367956ca839a7a71c2b7f52c2051a37b5d32e4ec69ab631bb4a1eef7c"}}