{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:T6GQYPFTXRNEYB54WADNKH5A5Y","short_pith_number":"pith:T6GQYPFT","canonical_record":{"source":{"id":"1111.3089","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-14T02:28:49Z","cross_cats_sorted":[],"title_canon_sha256":"ccfd8bb3a02c5d7fdc65ab7a0f450ff916facfb60417711ec14f7cb2c7b76979","abstract_canon_sha256":"e8709e6475691bb824e10715a0983b6b91fea18ab4e876616089007322539f80"},"schema_version":"1.0"},"canonical_sha256":"9f8d0c3cb3bc5a4c07bcb006d51fa0ee08ced5f82547c22f584518fcc999e95a","source":{"kind":"arxiv","id":"1111.3089","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3089","created_at":"2026-05-18T01:59:39Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3089v1","created_at":"2026-05-18T01:59:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3089","created_at":"2026-05-18T01:59:39Z"},{"alias_kind":"pith_short_12","alias_value":"T6GQYPFTXRNE","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"T6GQYPFTXRNEYB54","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"T6GQYPFT","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:T6GQYPFTXRNEYB54WADNKH5A5Y","target":"record","payload":{"canonical_record":{"source":{"id":"1111.3089","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-14T02:28:49Z","cross_cats_sorted":[],"title_canon_sha256":"ccfd8bb3a02c5d7fdc65ab7a0f450ff916facfb60417711ec14f7cb2c7b76979","abstract_canon_sha256":"e8709e6475691bb824e10715a0983b6b91fea18ab4e876616089007322539f80"},"schema_version":"1.0"},"canonical_sha256":"9f8d0c3cb3bc5a4c07bcb006d51fa0ee08ced5f82547c22f584518fcc999e95a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:39.519303Z","signature_b64":"6lY1v3c52z7xHrtziH1L2Z/uSdDD0VS85e4D0Z+IhRRAv4oCbtCWj6MwTiH+oSBGTUyT6aHxn6jMDJjhyk01BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f8d0c3cb3bc5a4c07bcb006d51fa0ee08ced5f82547c22f584518fcc999e95a","last_reissued_at":"2026-05-18T01:59:39.518509Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:39.518509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.3089","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":"2026-05-18T01:59:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dM0N9TvA22vvYaJjw1uRULNiR1RvRYH5fVg+uH8y+65DFIZ9S4ZrE3jfsnZsUoWZZ/eNsxIOcaFfENTznHICAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:42:33.296191Z"},"content_sha256":"bb3aaf2820312978814821d42630ebcad1f3198a6539aca72593a2eb0f33cab0","schema_version":"1.0","event_id":"sha256:bb3aaf2820312978814821d42630ebcad1f3198a6539aca72593a2eb0f33cab0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:T6GQYPFTXRNEYB54WADNKH5A5Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dusty gas with SPH - II. Implicit timestepping and astrophysical drag regimes","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"Daniel J. Price (Monash), Guillaume Laibe (Monash)","submitted_at":"2011-11-14T02:28:49Z","abstract_excerpt":"In a companion paper (Laibe & Price 2011b), we have presented an algorithm for simulating two-fluid gas and dust mixtures in Smoothed Particle Hydrodynamics (SPH). In this paper, we develop an implicit timestepping method that preserves the exact conservation of the both linear and angular momentum in the underlying SPH algorithm, but unlike previous schemes, allows the iterations to converge to arbitrary accuracy and is suited to the treatment of non- linear drag regimes. The algorithm presented in Paper I is also extended to deal with realistic astrophysical drag regimes, including both line"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3089","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":"2026-05-18T01:59:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4SX0r6Jt6hojloJAI5WWVaQCwkhmfefhfTZ1W9DkuJG1Fw3RGeEhJOilESTFVh35XmAonr8jBjFncp6e3wgNCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:42:33.296547Z"},"content_sha256":"d63976756094de3dd2960876692a3468a1df556343ea80dcfa07fd6fe70bc797","schema_version":"1.0","event_id":"sha256:d63976756094de3dd2960876692a3468a1df556343ea80dcfa07fd6fe70bc797"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T6GQYPFTXRNEYB54WADNKH5A5Y/bundle.json","state_url":"https://pith.science/pith/T6GQYPFTXRNEYB54WADNKH5A5Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T6GQYPFTXRNEYB54WADNKH5A5Y/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":"2026-06-09T09:42:33Z","links":{"resolver":"https://pith.science/pith/T6GQYPFTXRNEYB54WADNKH5A5Y","bundle":"https://pith.science/pith/T6GQYPFTXRNEYB54WADNKH5A5Y/bundle.json","state":"https://pith.science/pith/T6GQYPFTXRNEYB54WADNKH5A5Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T6GQYPFTXRNEYB54WADNKH5A5Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:T6GQYPFTXRNEYB54WADNKH5A5Y","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":"e8709e6475691bb824e10715a0983b6b91fea18ab4e876616089007322539f80","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-14T02:28:49Z","title_canon_sha256":"ccfd8bb3a02c5d7fdc65ab7a0f450ff916facfb60417711ec14f7cb2c7b76979"},"schema_version":"1.0","source":{"id":"1111.3089","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3089","created_at":"2026-05-18T01:59:39Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3089v1","created_at":"2026-05-18T01:59:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3089","created_at":"2026-05-18T01:59:39Z"},{"alias_kind":"pith_short_12","alias_value":"T6GQYPFTXRNE","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"T6GQYPFTXRNEYB54","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"T6GQYPFT","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:d63976756094de3dd2960876692a3468a1df556343ea80dcfa07fd6fe70bc797","target":"graph","created_at":"2026-05-18T01:59:39Z","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 a companion paper (Laibe & Price 2011b), we have presented an algorithm for simulating two-fluid gas and dust mixtures in Smoothed Particle Hydrodynamics (SPH). In this paper, we develop an implicit timestepping method that preserves the exact conservation of the both linear and angular momentum in the underlying SPH algorithm, but unlike previous schemes, allows the iterations to converge to arbitrary accuracy and is suited to the treatment of non- linear drag regimes. The algorithm presented in Paper I is also extended to deal with realistic astrophysical drag regimes, including both line","authors_text":"Daniel J. Price (Monash), Guillaume Laibe (Monash)","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-14T02:28:49Z","title":"Dusty gas with SPH - II. Implicit timestepping and astrophysical drag regimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3089","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:bb3aaf2820312978814821d42630ebcad1f3198a6539aca72593a2eb0f33cab0","target":"record","created_at":"2026-05-18T01:59:39Z","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":"e8709e6475691bb824e10715a0983b6b91fea18ab4e876616089007322539f80","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-14T02:28:49Z","title_canon_sha256":"ccfd8bb3a02c5d7fdc65ab7a0f450ff916facfb60417711ec14f7cb2c7b76979"},"schema_version":"1.0","source":{"id":"1111.3089","kind":"arxiv","version":1}},"canonical_sha256":"9f8d0c3cb3bc5a4c07bcb006d51fa0ee08ced5f82547c22f584518fcc999e95a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f8d0c3cb3bc5a4c07bcb006d51fa0ee08ced5f82547c22f584518fcc999e95a","first_computed_at":"2026-05-18T01:59:39.518509Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:39.518509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6lY1v3c52z7xHrtziH1L2Z/uSdDD0VS85e4D0Z+IhRRAv4oCbtCWj6MwTiH+oSBGTUyT6aHxn6jMDJjhyk01BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:39.519303Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.3089","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb3aaf2820312978814821d42630ebcad1f3198a6539aca72593a2eb0f33cab0","sha256:d63976756094de3dd2960876692a3468a1df556343ea80dcfa07fd6fe70bc797"],"state_sha256":"851c768d73d6c0c1de64f3aacab06e09e780670529c61e997e7282e00670c534"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yojDMcBdm1cbU8FROgUn3wj5lNnopVUxr494GF+aXm6KSuepV+pE8EvBuzse7ruRv+niQnH7q9VMI8CIiz4WBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T09:42:33.298438Z","bundle_sha256":"eeca33de1647f60cf68a365cdd9e1b079d7d935949e1b9e1e48d2cf3e89e99f0"}}