{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:PU5EF353NG2BAH45OEUFYD7KKQ","short_pith_number":"pith:PU5EF353","canonical_record":{"source":{"id":"2604.25672","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-04-28T14:04:37Z","cross_cats_sorted":["cs.NA","physics.flu-dyn"],"title_canon_sha256":"ed0b8c767c234c7a8f106d693b050d2cc1b5d90cae7f56f311a1153f104a52b2","abstract_canon_sha256":"a75effd0864e8bb2aab321205ade2c4a2061b25057f9a73bac010465a04ced5b"},"schema_version":"1.0"},"canonical_sha256":"7d3a42efbb69b4101f9d71285c0fea541e5ca1d3718ab0d91acd65dfd4e8f2ca","source":{"kind":"arxiv","id":"2604.25672","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.25672","created_at":"2026-05-27T01:05:55Z"},{"alias_kind":"arxiv_version","alias_value":"2604.25672v2","created_at":"2026-05-27T01:05:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.25672","created_at":"2026-05-27T01:05:55Z"},{"alias_kind":"pith_short_12","alias_value":"PU5EF353NG2B","created_at":"2026-05-27T01:05:55Z"},{"alias_kind":"pith_short_16","alias_value":"PU5EF353NG2BAH45","created_at":"2026-05-27T01:05:55Z"},{"alias_kind":"pith_short_8","alias_value":"PU5EF353","created_at":"2026-05-27T01:05:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:PU5EF353NG2BAH45OEUFYD7KKQ","target":"record","payload":{"canonical_record":{"source":{"id":"2604.25672","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-04-28T14:04:37Z","cross_cats_sorted":["cs.NA","physics.flu-dyn"],"title_canon_sha256":"ed0b8c767c234c7a8f106d693b050d2cc1b5d90cae7f56f311a1153f104a52b2","abstract_canon_sha256":"a75effd0864e8bb2aab321205ade2c4a2061b25057f9a73bac010465a04ced5b"},"schema_version":"1.0"},"canonical_sha256":"7d3a42efbb69b4101f9d71285c0fea541e5ca1d3718ab0d91acd65dfd4e8f2ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:05:55.087671Z","signature_b64":"n1cOM3TpBbRLiuSQ+HH2Om6wVTCHzrheRHMtRjICLIS9cNexQLAnHouDvaa2SjcYAmXpYv41CNjxIGHoaEtvDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d3a42efbb69b4101f9d71285c0fea541e5ca1d3718ab0d91acd65dfd4e8f2ca","last_reissued_at":"2026-05-27T01:05:55.086599Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:05:55.086599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2604.25672","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":"2026-05-27T01:05:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3mpOQfZNn7mQ/OezWh6Wpf5JqLol2uxhW5f4ttrjo9F+uta/gl4PRLNg6rDm/lQyzAAaB1s2gzA9mSqHUKtCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T20:21:37.868549Z"},"content_sha256":"2f1ec637cc43f08f31d9ff9064274a6ca37993a93182838a957ebf7c73eaebd9","schema_version":"1.0","event_id":"sha256:2f1ec637cc43f08f31d9ff9064274a6ca37993a93182838a957ebf7c73eaebd9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:PU5EF353NG2BAH45OEUFYD7KKQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A bound-preserving oscillation-eliminating discontinuous Galerkin scheme for compressible two-phase flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Operator splitting with implicit discretization yields a bound-preserving oscillation-eliminating DG scheme for Kapila two-phase flows that removes stiffness-induced CFL restrictions.","cross_cats":["cs.NA","physics.flu-dyn"],"primary_cat":"math.NA","authors_text":"A-Man Zhang, Fan Zhang, Jia-Jun Zou, Qi Kong, Yu-Chang Liu, Yun-Long Liu","submitted_at":"2026-04-28T14:04:37Z","abstract_excerpt":"This paper presents a high-order bound-preserving oscillation-eliminating discontinuous Galerkin (BP-OEDG) scheme for simulating gas-gas and gas-liquid two-phase flows governed by the Kapila five-equation model with the Tammann equation of state (EOS). The primary computational bottleneck arises from the severe CFL restriction imposed by the stiff $\\kappa$-source term in the volume fraction equation. To circumvent this, we propose a novel operator-splitting strategy that decouples the system into a transport model and a stiff $\\kappa$-source term. The former is discretized via a quasi-conserva"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We rigorously prove that this implicit treatment is unconditionally BP, effectively removing the stiffness-induced stability constraints inherent in traditional explicit schemes... we prove that the proposed BP-OEDG scheme, integrated with the splitting strategy, strictly satisfies the Abgrall condition.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The operator-splitting strategy accurately decouples the transport and stiff source terms without introducing significant splitting errors that would violate the bound-preserving or Abgrall properties in practice; this is stated in the description of the novel operator-splitting strategy.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A new DG scheme for two-phase compressible flows that decouples transport and stiff source terms, proves unconditional bound preservation, satisfies the Abgrall condition, and uses limiters to suppress oscillations.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Operator splitting with implicit discretization yields a bound-preserving oscillation-eliminating DG scheme for Kapila two-phase flows that removes stiffness-induced CFL restrictions.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"eeef44f3aac98ebce099147c838a0995a0e39f51dfa543c8d61ab78422526807"},"source":{"id":"2604.25672","kind":"arxiv","version":2},"verdict":{"id":"fb4b484d-3152-43e6-ba2f-c06759c08905","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-07T15:16:23.514019Z","strongest_claim":"We rigorously prove that this implicit treatment is unconditionally BP, effectively removing the stiffness-induced stability constraints inherent in traditional explicit schemes... we prove that the proposed BP-OEDG scheme, integrated with the splitting strategy, strictly satisfies the Abgrall condition.","one_line_summary":"A new DG scheme for two-phase compressible flows that decouples transport and stiff source terms, proves unconditional bound preservation, satisfies the Abgrall condition, and uses limiters to suppress oscillations.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The operator-splitting strategy accurately decouples the transport and stiff source terms without introducing significant splitting errors that would violate the bound-preserving or Abgrall properties in practice; this is stated in the description of the novel operator-splitting strategy.","pith_extraction_headline":"Operator splitting with implicit discretization yields a bound-preserving oscillation-eliminating DG scheme for Kapila two-phase flows that removes stiffness-induced CFL restrictions."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.25672/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T04:35:44.826826Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T20:52:51.324228Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"7cfa2aec7711c4eb356724778bbb7e578f4263a8ae3773f6d636cb75f3c2f522"},"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":"fb4b484d-3152-43e6-ba2f-c06759c08905"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-27T01:05:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5y9z7kv9M3yXkFVNMttdZp9fNlESsG01NJyXpG51mZcb9G+OTLuE1K/IM6DYi5GYu6anU+MkpgZ6hTMrpr46Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T20:21:37.869052Z"},"content_sha256":"68cb26d4968453f7bff2f2cdec21c70d053d95b4e22978228a9c465eedbb4d0f","schema_version":"1.0","event_id":"sha256:68cb26d4968453f7bff2f2cdec21c70d053d95b4e22978228a9c465eedbb4d0f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PU5EF353NG2BAH45OEUFYD7KKQ/bundle.json","state_url":"https://pith.science/pith/PU5EF353NG2BAH45OEUFYD7KKQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PU5EF353NG2BAH45OEUFYD7KKQ/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":"2026-06-10T20:21:37Z","links":{"resolver":"https://pith.science/pith/PU5EF353NG2BAH45OEUFYD7KKQ","bundle":"https://pith.science/pith/PU5EF353NG2BAH45OEUFYD7KKQ/bundle.json","state":"https://pith.science/pith/PU5EF353NG2BAH45OEUFYD7KKQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PU5EF353NG2BAH45OEUFYD7KKQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PU5EF353NG2BAH45OEUFYD7KKQ","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":"a75effd0864e8bb2aab321205ade2c4a2061b25057f9a73bac010465a04ced5b","cross_cats_sorted":["cs.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-04-28T14:04:37Z","title_canon_sha256":"ed0b8c767c234c7a8f106d693b050d2cc1b5d90cae7f56f311a1153f104a52b2"},"schema_version":"1.0","source":{"id":"2604.25672","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.25672","created_at":"2026-05-27T01:05:55Z"},{"alias_kind":"arxiv_version","alias_value":"2604.25672v2","created_at":"2026-05-27T01:05:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.25672","created_at":"2026-05-27T01:05:55Z"},{"alias_kind":"pith_short_12","alias_value":"PU5EF353NG2B","created_at":"2026-05-27T01:05:55Z"},{"alias_kind":"pith_short_16","alias_value":"PU5EF353NG2BAH45","created_at":"2026-05-27T01:05:55Z"},{"alias_kind":"pith_short_8","alias_value":"PU5EF353","created_at":"2026-05-27T01:05:55Z"}],"graph_snapshots":[{"event_id":"sha256:68cb26d4968453f7bff2f2cdec21c70d053d95b4e22978228a9c465eedbb4d0f","target":"graph","created_at":"2026-05-27T01:05:55Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We rigorously prove that this implicit treatment is unconditionally BP, effectively removing the stiffness-induced stability constraints inherent in traditional explicit schemes... we prove that the proposed BP-OEDG scheme, integrated with the splitting strategy, strictly satisfies the Abgrall condition."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The operator-splitting strategy accurately decouples the transport and stiff source terms without introducing significant splitting errors that would violate the bound-preserving or Abgrall properties in practice; this is stated in the description of the novel operator-splitting strategy."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"A new DG scheme for two-phase compressible flows that decouples transport and stiff source terms, proves unconditional bound preservation, satisfies the Abgrall condition, and uses limiters to suppress oscillations."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Operator splitting with implicit discretization yields a bound-preserving oscillation-eliminating DG scheme for Kapila two-phase flows that removes stiffness-induced CFL restrictions."}],"snapshot_sha256":"eeef44f3aac98ebce099147c838a0995a0e39f51dfa543c8d61ab78422526807"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-21T04:35:44.826826Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-19T20:52:51.324228Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2604.25672/integrity.json","findings":[],"snapshot_sha256":"7cfa2aec7711c4eb356724778bbb7e578f4263a8ae3773f6d636cb75f3c2f522","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper presents a high-order bound-preserving oscillation-eliminating discontinuous Galerkin (BP-OEDG) scheme for simulating gas-gas and gas-liquid two-phase flows governed by the Kapila five-equation model with the Tammann equation of state (EOS). The primary computational bottleneck arises from the severe CFL restriction imposed by the stiff $\\kappa$-source term in the volume fraction equation. To circumvent this, we propose a novel operator-splitting strategy that decouples the system into a transport model and a stiff $\\kappa$-source term. The former is discretized via a quasi-conserva","authors_text":"A-Man Zhang, Fan Zhang, Jia-Jun Zou, Qi Kong, Yu-Chang Liu, Yun-Long Liu","cross_cats":["cs.NA","physics.flu-dyn"],"headline":"Operator splitting with implicit discretization yields a bound-preserving oscillation-eliminating DG scheme for Kapila two-phase flows that removes stiffness-induced CFL restrictions.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-04-28T14:04:37Z","title":"A bound-preserving oscillation-eliminating discontinuous Galerkin scheme for compressible two-phase flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.25672","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-07T15:16:23.514019Z","id":"fb4b484d-3152-43e6-ba2f-c06759c08905","model_set":{"reader":"grok-4.3"},"one_line_summary":"A new DG scheme for two-phase compressible flows that decouples transport and stiff source terms, proves unconditional bound preservation, satisfies the Abgrall condition, and uses limiters to suppress oscillations.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Operator splitting with implicit discretization yields a bound-preserving oscillation-eliminating DG scheme for Kapila two-phase flows that removes stiffness-induced CFL restrictions.","strongest_claim":"We rigorously prove that this implicit treatment is unconditionally BP, effectively removing the stiffness-induced stability constraints inherent in traditional explicit schemes... we prove that the proposed BP-OEDG scheme, integrated with the splitting strategy, strictly satisfies the Abgrall condition.","weakest_assumption":"The operator-splitting strategy accurately decouples the transport and stiff source terms without introducing significant splitting errors that would violate the bound-preserving or Abgrall properties in practice; this is stated in the description of the novel operator-splitting strategy."}},"verdict_id":"fb4b484d-3152-43e6-ba2f-c06759c08905"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2f1ec637cc43f08f31d9ff9064274a6ca37993a93182838a957ebf7c73eaebd9","target":"record","created_at":"2026-05-27T01:05:55Z","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":"a75effd0864e8bb2aab321205ade2c4a2061b25057f9a73bac010465a04ced5b","cross_cats_sorted":["cs.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-04-28T14:04:37Z","title_canon_sha256":"ed0b8c767c234c7a8f106d693b050d2cc1b5d90cae7f56f311a1153f104a52b2"},"schema_version":"1.0","source":{"id":"2604.25672","kind":"arxiv","version":2}},"canonical_sha256":"7d3a42efbb69b4101f9d71285c0fea541e5ca1d3718ab0d91acd65dfd4e8f2ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d3a42efbb69b4101f9d71285c0fea541e5ca1d3718ab0d91acd65dfd4e8f2ca","first_computed_at":"2026-05-27T01:05:55.086599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-27T01:05:55.086599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n1cOM3TpBbRLiuSQ+HH2Om6wVTCHzrheRHMtRjICLIS9cNexQLAnHouDvaa2SjcYAmXpYv41CNjxIGHoaEtvDQ==","signature_status":"signed_v1","signed_at":"2026-05-27T01:05:55.087671Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.25672","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f1ec637cc43f08f31d9ff9064274a6ca37993a93182838a957ebf7c73eaebd9","sha256:68cb26d4968453f7bff2f2cdec21c70d053d95b4e22978228a9c465eedbb4d0f"],"state_sha256":"4a1ef9c28cc1f3d8d43248f5ad48bb86218cede8ef91ed386040ebf52b3ea2b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pkeKj71qx7yAvOO0IZOcWrQykjuRyHZh+Myt/pl0y9OFO+ULsUGdM+1I+I6BM29ximwvXLCKGrNzz/I3jOKSCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T20:21:37.871559Z","bundle_sha256":"3c337617bc276db1b4c04c6cf8eb8de0b9d4554cbf2e101c6b3a456e456a56ca"}}