{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:PNJ7GKABPA762TDDAC7VNND2Y5","short_pith_number":"pith:PNJ7GKAB","canonical_record":{"source":{"id":"1111.3261","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-14T16:08:54Z","cross_cats_sorted":["astro-ph.SR","physics.comp-ph"],"title_canon_sha256":"2d28d161ddd7f86bb8484ce56124915284d6e3618e4f2198f6834642691159cf","abstract_canon_sha256":"5705a268efe26d0e5aa6678138be99b458045dfdc8f2b54dab593767f541058e"},"schema_version":"1.0"},"canonical_sha256":"7b53f32801783fed4c6300bf56b47ac76f8e25e97482c399e095d33ad1b69f99","source":{"kind":"arxiv","id":"1111.3261","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3261","created_at":"2026-05-18T01:59:33Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3261v3","created_at":"2026-05-18T01:59:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3261","created_at":"2026-05-18T01:59:33Z"},{"alias_kind":"pith_short_12","alias_value":"PNJ7GKABPA76","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PNJ7GKABPA762TDD","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PNJ7GKAB","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:PNJ7GKABPA762TDDAC7VNND2Y5","target":"record","payload":{"canonical_record":{"source":{"id":"1111.3261","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-14T16:08:54Z","cross_cats_sorted":["astro-ph.SR","physics.comp-ph"],"title_canon_sha256":"2d28d161ddd7f86bb8484ce56124915284d6e3618e4f2198f6834642691159cf","abstract_canon_sha256":"5705a268efe26d0e5aa6678138be99b458045dfdc8f2b54dab593767f541058e"},"schema_version":"1.0"},"canonical_sha256":"7b53f32801783fed4c6300bf56b47ac76f8e25e97482c399e095d33ad1b69f99","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:33.706373Z","signature_b64":"Bv4al3QU6+QbIpUqtbhugBi2UGVs74wu5RYTZGtbe3HOa2A/m5ANgZYZU/EMhh7Z0Pb0RH2SyD9ULTWfW7N4Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b53f32801783fed4c6300bf56b47ac76f8e25e97482c399e095d33ad1b69f99","last_reissued_at":"2026-05-18T01:59:33.705841Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:33.705841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.3261","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:59:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1at732JZCSW2UW/ZvnDMD0PdtFifa0/T/r2RyfI7Gt1iy2fWQ1RXg6XYT164PbZURqldgJKTj6Swe6P+71wvBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:22:48.737570Z"},"content_sha256":"fe3e6cdd2719ddba184a0fdd2918555b60b5876ac38650cc233af861a0704544","schema_version":"1.0","event_id":"sha256:fe3e6cdd2719ddba184a0fdd2918555b60b5876ac38650cc233af861a0704544"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:PNJ7GKABPA762TDDAC7VNND2Y5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improving smoothed particle hydrodynamics with an integral approach to calculating gradients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR","physics.comp-ph"],"primary_cat":"astro-ph.IM","authors_text":"(2) Universitaet Basel, Basel, Domingo Garcia-Senz (1), Jose Antonio Escartin (1) ((1) Universitat Politecnica de Catalunya. Barcelona. Spain, Ruben M. Cabezon (2), Switzerland)","submitted_at":"2011-11-14T16:08:54Z","abstract_excerpt":"In this paper we develop and test a fully conservative SPH scheme based on a tensor formulation that can be applied to simulate astrophysical systems. In the proposed scheme, derivatives are calculated from an integral expression that leads to a tensor (instead of a vectorial) estimation of gradients and reduces to the standard formulation in the continuum limit. The new formulation improves the interpolation of physical magnitudes, leading to a set of conservative equations that resembles those of standard SPH. The resulting scheme is verified using a variety of well-known tests, all of them "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3261","kind":"arxiv","version":3},"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":"2026-05-18T01:59:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q0aN3iBHoeIqRplCrYpGk9TRtZVvorFppoYuuFauldiyA/tOljehyWaDmIke4RthkgLgece5OWWobiExxTRYBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:22:48.737932Z"},"content_sha256":"5589af5e7f9461cb29e2ed40a19f0e726a89979f443d8aaaf60b9a02f9a6f296","schema_version":"1.0","event_id":"sha256:5589af5e7f9461cb29e2ed40a19f0e726a89979f443d8aaaf60b9a02f9a6f296"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PNJ7GKABPA762TDDAC7VNND2Y5/bundle.json","state_url":"https://pith.science/pith/PNJ7GKABPA762TDDAC7VNND2Y5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PNJ7GKABPA762TDDAC7VNND2Y5/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":"2026-07-07T12:22:48Z","links":{"resolver":"https://pith.science/pith/PNJ7GKABPA762TDDAC7VNND2Y5","bundle":"https://pith.science/pith/PNJ7GKABPA762TDDAC7VNND2Y5/bundle.json","state":"https://pith.science/pith/PNJ7GKABPA762TDDAC7VNND2Y5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PNJ7GKABPA762TDDAC7VNND2Y5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PNJ7GKABPA762TDDAC7VNND2Y5","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":"5705a268efe26d0e5aa6678138be99b458045dfdc8f2b54dab593767f541058e","cross_cats_sorted":["astro-ph.SR","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-14T16:08:54Z","title_canon_sha256":"2d28d161ddd7f86bb8484ce56124915284d6e3618e4f2198f6834642691159cf"},"schema_version":"1.0","source":{"id":"1111.3261","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3261","created_at":"2026-05-18T01:59:33Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3261v3","created_at":"2026-05-18T01:59:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3261","created_at":"2026-05-18T01:59:33Z"},{"alias_kind":"pith_short_12","alias_value":"PNJ7GKABPA76","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PNJ7GKABPA762TDD","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PNJ7GKAB","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:5589af5e7f9461cb29e2ed40a19f0e726a89979f443d8aaaf60b9a02f9a6f296","target":"graph","created_at":"2026-05-18T01:59:33Z","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 develop and test a fully conservative SPH scheme based on a tensor formulation that can be applied to simulate astrophysical systems. In the proposed scheme, derivatives are calculated from an integral expression that leads to a tensor (instead of a vectorial) estimation of gradients and reduces to the standard formulation in the continuum limit. The new formulation improves the interpolation of physical magnitudes, leading to a set of conservative equations that resembles those of standard SPH. The resulting scheme is verified using a variety of well-known tests, all of them ","authors_text":"(2) Universitaet Basel, Basel, Domingo Garcia-Senz (1), Jose Antonio Escartin (1) ((1) Universitat Politecnica de Catalunya. Barcelona. Spain, Ruben M. Cabezon (2), Switzerland)","cross_cats":["astro-ph.SR","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-14T16:08:54Z","title":"Improving smoothed particle hydrodynamics with an integral approach to calculating gradients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3261","kind":"arxiv","version":3},"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:fe3e6cdd2719ddba184a0fdd2918555b60b5876ac38650cc233af861a0704544","target":"record","created_at":"2026-05-18T01:59:33Z","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":"5705a268efe26d0e5aa6678138be99b458045dfdc8f2b54dab593767f541058e","cross_cats_sorted":["astro-ph.SR","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-14T16:08:54Z","title_canon_sha256":"2d28d161ddd7f86bb8484ce56124915284d6e3618e4f2198f6834642691159cf"},"schema_version":"1.0","source":{"id":"1111.3261","kind":"arxiv","version":3}},"canonical_sha256":"7b53f32801783fed4c6300bf56b47ac76f8e25e97482c399e095d33ad1b69f99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b53f32801783fed4c6300bf56b47ac76f8e25e97482c399e095d33ad1b69f99","first_computed_at":"2026-05-18T01:59:33.705841Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:33.705841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bv4al3QU6+QbIpUqtbhugBi2UGVs74wu5RYTZGtbe3HOa2A/m5ANgZYZU/EMhh7Z0Pb0RH2SyD9ULTWfW7N4Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:33.706373Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.3261","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe3e6cdd2719ddba184a0fdd2918555b60b5876ac38650cc233af861a0704544","sha256:5589af5e7f9461cb29e2ed40a19f0e726a89979f443d8aaaf60b9a02f9a6f296"],"state_sha256":"c3fe4cd8c705ae0d36d2ed9b92a14b72b99bdf08f2800b7b057b61fc40b64f1c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pNRHKBJFJ1kjIYM2DPY8YtWORof//EOBOrmQ/HQTZy4HTZm8ISoe55MoNsYH3t3FwJVT5fqt9H0+onTs+eDeCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T12:22:48.739921Z","bundle_sha256":"355e203bdb70681d0c118e3833877538a23200dfcf555cba2be02f9503ef331d"}}