{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:FG2TXJE6BF6HU652S7SQX6DEL6","short_pith_number":"pith:FG2TXJE6","canonical_record":{"source":{"id":"1505.00973","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-05-05T12:06:07Z","cross_cats_sorted":[],"title_canon_sha256":"f65e69d14d8769632e60b51cbe45a0c3f0f65f52420453ff1324834a71523f1d","abstract_canon_sha256":"e7a57fc64d777e6517a6e7ff069faf0aef2bc02ed6b5348cd9804558bdb25bc5"},"schema_version":"1.0"},"canonical_sha256":"29b53ba49e097c7a7bba97e50bf8645f9fac4fe93c360b6a087158aed211d23c","source":{"kind":"arxiv","id":"1505.00973","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00973","created_at":"2026-05-18T02:16:52Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00973v1","created_at":"2026-05-18T02:16:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00973","created_at":"2026-05-18T02:16:52Z"},{"alias_kind":"pith_short_12","alias_value":"FG2TXJE6BF6H","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FG2TXJE6BF6HU652","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FG2TXJE6","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:FG2TXJE6BF6HU652S7SQX6DEL6","target":"record","payload":{"canonical_record":{"source":{"id":"1505.00973","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-05-05T12:06:07Z","cross_cats_sorted":[],"title_canon_sha256":"f65e69d14d8769632e60b51cbe45a0c3f0f65f52420453ff1324834a71523f1d","abstract_canon_sha256":"e7a57fc64d777e6517a6e7ff069faf0aef2bc02ed6b5348cd9804558bdb25bc5"},"schema_version":"1.0"},"canonical_sha256":"29b53ba49e097c7a7bba97e50bf8645f9fac4fe93c360b6a087158aed211d23c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:52.311511Z","signature_b64":"vyOdhDLCTZIjJeDFpnGbLS5z40PwRRw2M7gZ8dTl18B1wXocz/KXR7piKCB8sXZw4+K2Xc3UhGbW6y5J9A2UAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29b53ba49e097c7a7bba97e50bf8645f9fac4fe93c360b6a087158aed211d23c","last_reissued_at":"2026-05-18T02:16:52.310056Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:52.310056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.00973","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":"2026-05-18T02:16:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OFyQfxaxMWxR5LlRGp4lBOG+vwx6ayYQfq+Va1IrTBAd0vYNw5Yjhtejd1Gp/U5ebDDQInfkFSK6zxIzBRUmAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T07:41:42.634163Z"},"content_sha256":"4359fc118b7fba6061a66482e1d656ee4a90cf277110b7dbc6984703689bfc6e","schema_version":"1.0","event_id":"sha256:4359fc118b7fba6061a66482e1d656ee4a90cf277110b7dbc6984703689bfc6e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:FG2TXJE6BF6HU652S7SQX6DEL6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two phase mixtures in SPH - A new approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"Daniel J. Price (Monash), Guillaume Laibe (St Andrews)","submitted_at":"2015-05-05T12:06:07Z","abstract_excerpt":"We present a new approach to simulating mixtures of gas and dust in smoothed particle hydrodynamics (SPH). We show how the two-fluid equations can be rewritten to describe a single-fluid 'mixture' moving with the barycentric velocity, with each particle carrying a dust fraction. We show how this formulation can be implemented in SPH while preserving the conservation properties (i.e. conservation of mass of each phase, momentum and energy). We also show that the method solves two key issues with the two fluid approach: it avoids over-damping of the mixture when the drag is strong and prevents a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00973","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":"2026-05-18T02:16:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cdfdMP9VPmaFYPCNA7r1ReZnIPJhrXfNcR+Wh3bD14qiR38jrhHIrZX6ssjW37+hcN4AdI3QHEWwt6joD/xLCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T07:41:42.634533Z"},"content_sha256":"2e373a681d70a9aa4901f1503ef7ca034ef50e4dd33bebddaae3e7c9717143f7","schema_version":"1.0","event_id":"sha256:2e373a681d70a9aa4901f1503ef7ca034ef50e4dd33bebddaae3e7c9717143f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FG2TXJE6BF6HU652S7SQX6DEL6/bundle.json","state_url":"https://pith.science/pith/FG2TXJE6BF6HU652S7SQX6DEL6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FG2TXJE6BF6HU652S7SQX6DEL6/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":"2026-06-28T07:41:42Z","links":{"resolver":"https://pith.science/pith/FG2TXJE6BF6HU652S7SQX6DEL6","bundle":"https://pith.science/pith/FG2TXJE6BF6HU652S7SQX6DEL6/bundle.json","state":"https://pith.science/pith/FG2TXJE6BF6HU652S7SQX6DEL6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FG2TXJE6BF6HU652S7SQX6DEL6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FG2TXJE6BF6HU652S7SQX6DEL6","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":"e7a57fc64d777e6517a6e7ff069faf0aef2bc02ed6b5348cd9804558bdb25bc5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-05-05T12:06:07Z","title_canon_sha256":"f65e69d14d8769632e60b51cbe45a0c3f0f65f52420453ff1324834a71523f1d"},"schema_version":"1.0","source":{"id":"1505.00973","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00973","created_at":"2026-05-18T02:16:52Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00973v1","created_at":"2026-05-18T02:16:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00973","created_at":"2026-05-18T02:16:52Z"},{"alias_kind":"pith_short_12","alias_value":"FG2TXJE6BF6H","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FG2TXJE6BF6HU652","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FG2TXJE6","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:2e373a681d70a9aa4901f1503ef7ca034ef50e4dd33bebddaae3e7c9717143f7","target":"graph","created_at":"2026-05-18T02:16:52Z","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 present a new approach to simulating mixtures of gas and dust in smoothed particle hydrodynamics (SPH). We show how the two-fluid equations can be rewritten to describe a single-fluid 'mixture' moving with the barycentric velocity, with each particle carrying a dust fraction. We show how this formulation can be implemented in SPH while preserving the conservation properties (i.e. conservation of mass of each phase, momentum and energy). We also show that the method solves two key issues with the two fluid approach: it avoids over-damping of the mixture when the drag is strong and prevents a","authors_text":"Daniel J. Price (Monash), Guillaume Laibe (St Andrews)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-05-05T12:06:07Z","title":"Two phase mixtures in SPH - A new approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00973","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":"sha256:4359fc118b7fba6061a66482e1d656ee4a90cf277110b7dbc6984703689bfc6e","target":"record","created_at":"2026-05-18T02:16:52Z","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":"e7a57fc64d777e6517a6e7ff069faf0aef2bc02ed6b5348cd9804558bdb25bc5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-05-05T12:06:07Z","title_canon_sha256":"f65e69d14d8769632e60b51cbe45a0c3f0f65f52420453ff1324834a71523f1d"},"schema_version":"1.0","source":{"id":"1505.00973","kind":"arxiv","version":1}},"canonical_sha256":"29b53ba49e097c7a7bba97e50bf8645f9fac4fe93c360b6a087158aed211d23c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29b53ba49e097c7a7bba97e50bf8645f9fac4fe93c360b6a087158aed211d23c","first_computed_at":"2026-05-18T02:16:52.310056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:52.310056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vyOdhDLCTZIjJeDFpnGbLS5z40PwRRw2M7gZ8dTl18B1wXocz/KXR7piKCB8sXZw4+K2Xc3UhGbW6y5J9A2UAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:52.311511Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00973","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4359fc118b7fba6061a66482e1d656ee4a90cf277110b7dbc6984703689bfc6e","sha256:2e373a681d70a9aa4901f1503ef7ca034ef50e4dd33bebddaae3e7c9717143f7"],"state_sha256":"e7f1ee7c24d76e990b7874d582301c288e9c693e376cca7b2d7ad59758adbf33"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WXXPH30g2Jn/0ET+NXAnfH1KiRv4EJxps8KPc8qLZcIO45fsX61Iv1PhAuQWDyRG6UHcdjMSqCP4HlXK9jM6Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T07:41:42.636711Z","bundle_sha256":"08d7dd49bc9e0fc23739785ffd9fb9bddc936d49126a53c313f4971768fa4de2"}}