{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:U6RCEQJ2ATCTU3SWCDKNYWW5YK","short_pith_number":"pith:U6RCEQJ2","canonical_record":{"source":{"id":"1712.07765","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-21T01:42:53Z","cross_cats_sorted":[],"title_canon_sha256":"775f342a010599ac70938db09aa71369792fd3eb2dedc80e1e21999bab6f5f0c","abstract_canon_sha256":"05349058744df0878a941d8cf3cdf1b084e2be551bc0628ef98901d818cd0d14"},"schema_version":"1.0"},"canonical_sha256":"a7a222413a04c53a6e5610d4dc5addc2a6d67b732824cb345c21dcd84e447076","source":{"kind":"arxiv","id":"1712.07765","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.07765","created_at":"2026-05-18T00:20:55Z"},{"alias_kind":"arxiv_version","alias_value":"1712.07765v2","created_at":"2026-05-18T00:20:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.07765","created_at":"2026-05-18T00:20:55Z"},{"alias_kind":"pith_short_12","alias_value":"U6RCEQJ2ATCT","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"U6RCEQJ2ATCTU3SW","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"U6RCEQJ2","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:U6RCEQJ2ATCTU3SWCDKNYWW5YK","target":"record","payload":{"canonical_record":{"source":{"id":"1712.07765","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-21T01:42:53Z","cross_cats_sorted":[],"title_canon_sha256":"775f342a010599ac70938db09aa71369792fd3eb2dedc80e1e21999bab6f5f0c","abstract_canon_sha256":"05349058744df0878a941d8cf3cdf1b084e2be551bc0628ef98901d818cd0d14"},"schema_version":"1.0"},"canonical_sha256":"a7a222413a04c53a6e5610d4dc5addc2a6d67b732824cb345c21dcd84e447076","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:55.824134Z","signature_b64":"KHOxJmcxlF17oZb7asXqeds0twdY0cdO/I3MuqQM/W+TnfJtlK1acMEFShA1mgdD4L3KhxHl1pHwemHQeB0gAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7a222413a04c53a6e5610d4dc5addc2a6d67b732824cb345c21dcd84e447076","last_reissued_at":"2026-05-18T00:20:55.823706Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:55.823706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.07765","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":"2026-05-18T00:20:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vlsO2B3CQoxY9oxRg6yR2TOr1/xApXqUKoanQTOLMHBfcgJJjSNVCWf4Frok6xOJrH2gcoA49fHuVYF9kX+ADw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T08:39:34.864092Z"},"content_sha256":"8381aa59f9470470f0499207967d9f537b0e1aad17b174e46119dcb8e25f3b34","schema_version":"1.0","event_id":"sha256:8381aa59f9470470f0499207967d9f537b0e1aad17b174e46119dcb8e25f3b34"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:U6RCEQJ2ATCTU3SWCDKNYWW5YK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Well balanced Arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming meshes for the Euler equations of gasdynamics with gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Elena Gaburro, Manuel J. Castro, Michael Dumbser","submitted_at":"2017-12-21T01:42:53Z","abstract_excerpt":"In this work we present a novel second order accurate well balanced Arbitrary-Lagrangian-Eulerian (ALE) finite volume scheme on moving nonconforming meshes for the Euler equations of compressible gasdynamics with gravity in cylindrical coordinates. The main feature of the proposed algorithm is the capability of preserving many of the physical properties of the system exactly also on the discrete level: besides being conservative for mass, momentum and total energy, also any known steady equilibrium between pressure gradient, centrifugal force and gravity force can be exactly maintained up to m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.07765","kind":"arxiv","version":2},"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":"2026-05-18T00:20:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LM4sqbDsPBI7GexZ9zaHgskomjzUtGb+5YZGcxUC4ITSsHhedb+fge8LotySaugrJ116ghOfkJnfYp6WGH0zCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T08:39:34.864460Z"},"content_sha256":"9576511f3ac305ae92a07abe61b3cdf9a5a38a2e7b5aebfaa7a331609f0e9254","schema_version":"1.0","event_id":"sha256:9576511f3ac305ae92a07abe61b3cdf9a5a38a2e7b5aebfaa7a331609f0e9254"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U6RCEQJ2ATCTU3SWCDKNYWW5YK/bundle.json","state_url":"https://pith.science/pith/U6RCEQJ2ATCTU3SWCDKNYWW5YK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U6RCEQJ2ATCTU3SWCDKNYWW5YK/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":"2026-06-26T08:39:34Z","links":{"resolver":"https://pith.science/pith/U6RCEQJ2ATCTU3SWCDKNYWW5YK","bundle":"https://pith.science/pith/U6RCEQJ2ATCTU3SWCDKNYWW5YK/bundle.json","state":"https://pith.science/pith/U6RCEQJ2ATCTU3SWCDKNYWW5YK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U6RCEQJ2ATCTU3SWCDKNYWW5YK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:U6RCEQJ2ATCTU3SWCDKNYWW5YK","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":"05349058744df0878a941d8cf3cdf1b084e2be551bc0628ef98901d818cd0d14","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-21T01:42:53Z","title_canon_sha256":"775f342a010599ac70938db09aa71369792fd3eb2dedc80e1e21999bab6f5f0c"},"schema_version":"1.0","source":{"id":"1712.07765","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.07765","created_at":"2026-05-18T00:20:55Z"},{"alias_kind":"arxiv_version","alias_value":"1712.07765v2","created_at":"2026-05-18T00:20:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.07765","created_at":"2026-05-18T00:20:55Z"},{"alias_kind":"pith_short_12","alias_value":"U6RCEQJ2ATCT","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"U6RCEQJ2ATCTU3SW","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"U6RCEQJ2","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:9576511f3ac305ae92a07abe61b3cdf9a5a38a2e7b5aebfaa7a331609f0e9254","target":"graph","created_at":"2026-05-18T00:20:55Z","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":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this work we present a novel second order accurate well balanced Arbitrary-Lagrangian-Eulerian (ALE) finite volume scheme on moving nonconforming meshes for the Euler equations of compressible gasdynamics with gravity in cylindrical coordinates. The main feature of the proposed algorithm is the capability of preserving many of the physical properties of the system exactly also on the discrete level: besides being conservative for mass, momentum and total energy, also any known steady equilibrium between pressure gradient, centrifugal force and gravity force can be exactly maintained up to m","authors_text":"Elena Gaburro, Manuel J. Castro, Michael Dumbser","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-21T01:42:53Z","title":"Well balanced Arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming meshes for the Euler equations of gasdynamics with gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.07765","kind":"arxiv","version":2},"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":"sha256:8381aa59f9470470f0499207967d9f537b0e1aad17b174e46119dcb8e25f3b34","target":"record","created_at":"2026-05-18T00:20:55Z","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":"05349058744df0878a941d8cf3cdf1b084e2be551bc0628ef98901d818cd0d14","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-21T01:42:53Z","title_canon_sha256":"775f342a010599ac70938db09aa71369792fd3eb2dedc80e1e21999bab6f5f0c"},"schema_version":"1.0","source":{"id":"1712.07765","kind":"arxiv","version":2}},"canonical_sha256":"a7a222413a04c53a6e5610d4dc5addc2a6d67b732824cb345c21dcd84e447076","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7a222413a04c53a6e5610d4dc5addc2a6d67b732824cb345c21dcd84e447076","first_computed_at":"2026-05-18T00:20:55.823706Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:55.823706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KHOxJmcxlF17oZb7asXqeds0twdY0cdO/I3MuqQM/W+TnfJtlK1acMEFShA1mgdD4L3KhxHl1pHwemHQeB0gAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:55.824134Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.07765","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8381aa59f9470470f0499207967d9f537b0e1aad17b174e46119dcb8e25f3b34","sha256:9576511f3ac305ae92a07abe61b3cdf9a5a38a2e7b5aebfaa7a331609f0e9254"],"state_sha256":"70e2e0f2d65205f9166cb0eaa7674694f7875efd7a8cd61188a58d2549e4a0c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xEsCiwFCJa3ouYhVgxQh3vdLmnwhXOqnZ7M6TOJwrJhb9uck6/LOUn3hoNEyIY/pqolc4wJz42ohEW5B/+U7Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T08:39:34.866444Z","bundle_sha256":"0a499cf9b11e1d151da9d58e5f83fdd43538cffa409abf5d152a348b701cf0ed"}}