{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EWBXABIEQPUMTEWTOOZ6H6KY3W","short_pith_number":"pith:EWBXABIE","canonical_record":{"source":{"id":"1706.08890","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-27T14:36:56Z","cross_cats_sorted":[],"title_canon_sha256":"1e7c22ead918d88751d48085222b7d66e1493643fc2916c2b31ee94d77a3d5d8","abstract_canon_sha256":"02281108565e8a950c262bb00cb5ad282ffd9a6213d55291d6f0d1ffdfc385c4"},"schema_version":"1.0"},"canonical_sha256":"258370050483e8c992d373b3e3f958ddb8ec9f485fa311b45bc0579bfe0956e5","source":{"kind":"arxiv","id":"1706.08890","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08890","created_at":"2026-05-18T00:41:30Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08890v1","created_at":"2026-05-18T00:41:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08890","created_at":"2026-05-18T00:41:30Z"},{"alias_kind":"pith_short_12","alias_value":"EWBXABIEQPUM","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EWBXABIEQPUMTEWT","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EWBXABIE","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EWBXABIEQPUMTEWTOOZ6H6KY3W","target":"record","payload":{"canonical_record":{"source":{"id":"1706.08890","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-27T14:36:56Z","cross_cats_sorted":[],"title_canon_sha256":"1e7c22ead918d88751d48085222b7d66e1493643fc2916c2b31ee94d77a3d5d8","abstract_canon_sha256":"02281108565e8a950c262bb00cb5ad282ffd9a6213d55291d6f0d1ffdfc385c4"},"schema_version":"1.0"},"canonical_sha256":"258370050483e8c992d373b3e3f958ddb8ec9f485fa311b45bc0579bfe0956e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:30.677855Z","signature_b64":"dflEvTq9zy9doVVBlOblzYtpEclPXteE8Eseohl02okevAP3bhAFjz3Z2MDuBURLC11wGAAuu9H4UJz21flkDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"258370050483e8c992d373b3e3f958ddb8ec9f485fa311b45bc0579bfe0956e5","last_reissued_at":"2026-05-18T00:41:30.677139Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:30.677139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.08890","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":"2026-05-18T00:41:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5jsRdADTyDLGf3xuXHKWFCzC2Ji+ZKYg81Ty3pv7FsqLPNUG1n/MLQOGESKPc3mMMleiGSZvd+QbqEInU6QnCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T01:20:04.371623Z"},"content_sha256":"8748bfd2be4c6c6f8ed9beaa637b6c0b5a0a543de02592f1638051414405cb6b","schema_version":"1.0","event_id":"sha256:8748bfd2be4c6c6f8ed9beaa637b6c0b5a0a543de02592f1638051414405cb6b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EWBXABIEQPUMTEWTOOZ6H6KY3W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global classical solutions to a Compressible Model for Micro-Macro Polymeric Fluids Near Equilibrium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ning Jiang, Teng-Fei Zhang, Yanan Liu","submitted_at":"2017-06-27T14:36:56Z","abstract_excerpt":"In this paper we first employ the energetic variational method to derive a micro-macro model for compressible polymeric fluids. This model is a coupling of isentropic compressible Navier-Stokes equations with a nonlinear Fokker-Planck equation. We then prove the global in time existence of the smooth solution near the global equilibrium."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08890","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":"2026-05-18T00:41:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+ho4blMzM/9135lSDsib10uF3kbSLKzFkjQE9zJrSuQdyJGCUE1naxvVJNQf+zh552efKx2q/dXSf5gi/bsLDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T01:20:04.371963Z"},"content_sha256":"83c9502320d95a9bb120b4cd673774438d05d4d4d72d6da4597880dae4fca03b","schema_version":"1.0","event_id":"sha256:83c9502320d95a9bb120b4cd673774438d05d4d4d72d6da4597880dae4fca03b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W/bundle.json","state_url":"https://pith.science/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W/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":"2026-05-28T01:20:04Z","links":{"resolver":"https://pith.science/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W","bundle":"https://pith.science/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W/bundle.json","state":"https://pith.science/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EWBXABIEQPUMTEWTOOZ6H6KY3W","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":"02281108565e8a950c262bb00cb5ad282ffd9a6213d55291d6f0d1ffdfc385c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-27T14:36:56Z","title_canon_sha256":"1e7c22ead918d88751d48085222b7d66e1493643fc2916c2b31ee94d77a3d5d8"},"schema_version":"1.0","source":{"id":"1706.08890","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08890","created_at":"2026-05-18T00:41:30Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08890v1","created_at":"2026-05-18T00:41:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08890","created_at":"2026-05-18T00:41:30Z"},{"alias_kind":"pith_short_12","alias_value":"EWBXABIEQPUM","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EWBXABIEQPUMTEWT","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EWBXABIE","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:83c9502320d95a9bb120b4cd673774438d05d4d4d72d6da4597880dae4fca03b","target":"graph","created_at":"2026-05-18T00:41:30Z","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":"In this paper we first employ the energetic variational method to derive a micro-macro model for compressible polymeric fluids. This model is a coupling of isentropic compressible Navier-Stokes equations with a nonlinear Fokker-Planck equation. We then prove the global in time existence of the smooth solution near the global equilibrium.","authors_text":"Ning Jiang, Teng-Fei Zhang, Yanan Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-27T14:36:56Z","title":"Global classical solutions to a Compressible Model for Micro-Macro Polymeric Fluids Near Equilibrium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08890","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":"sha256:8748bfd2be4c6c6f8ed9beaa637b6c0b5a0a543de02592f1638051414405cb6b","target":"record","created_at":"2026-05-18T00:41:30Z","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":"02281108565e8a950c262bb00cb5ad282ffd9a6213d55291d6f0d1ffdfc385c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-27T14:36:56Z","title_canon_sha256":"1e7c22ead918d88751d48085222b7d66e1493643fc2916c2b31ee94d77a3d5d8"},"schema_version":"1.0","source":{"id":"1706.08890","kind":"arxiv","version":1}},"canonical_sha256":"258370050483e8c992d373b3e3f958ddb8ec9f485fa311b45bc0579bfe0956e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"258370050483e8c992d373b3e3f958ddb8ec9f485fa311b45bc0579bfe0956e5","first_computed_at":"2026-05-18T00:41:30.677139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:30.677139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dflEvTq9zy9doVVBlOblzYtpEclPXteE8Eseohl02okevAP3bhAFjz3Z2MDuBURLC11wGAAuu9H4UJz21flkDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:30.677855Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.08890","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8748bfd2be4c6c6f8ed9beaa637b6c0b5a0a543de02592f1638051414405cb6b","sha256:83c9502320d95a9bb120b4cd673774438d05d4d4d72d6da4597880dae4fca03b"],"state_sha256":"d4066047aaf67b1bcccb8f03a2b05b166a7a2027fa32692d249afd2ac6e81e42"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zheJLdPOQR/fYfbnAEzR0fiEqAV1AdWcoG4bX/u+X1XFgDTiOzUdHxa9evOB+i6Qn2WhjzfMcQt+en/FkFsQBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T01:20:04.373923Z","bundle_sha256":"adbc5e6c99e675fe45714bec5403d29294caba1b9f03fd7fdc4b8019534c8b2a"}}