{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:2BWHM7Z26TNNOAYUND3DSSJN4W","short_pith_number":"pith:2BWHM7Z2","canonical_record":{"source":{"id":"1002.2973","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2010-02-15T22:40:45Z","cross_cats_sorted":["astro-ph.EP"],"title_canon_sha256":"628855729cf0edf4062e906c5cd215b98fa7484cd18fd688f3358bd657528735","abstract_canon_sha256":"9532f469a2bd1d716009ac5d6a98d41aa02382774508fc585be3cb10e6db4909"},"schema_version":"1.0"},"canonical_sha256":"d06c767f3af4dad7031468f639492de5b3ce40167193da6008053bc43aa5a975","source":{"kind":"arxiv","id":"1002.2973","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.2973","created_at":"2026-05-18T02:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"1002.2973v1","created_at":"2026-05-18T02:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.2973","created_at":"2026-05-18T02:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"2BWHM7Z26TNN","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2BWHM7Z26TNNOAYU","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2BWHM7Z2","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:2BWHM7Z26TNNOAYUND3DSSJN4W","target":"record","payload":{"canonical_record":{"source":{"id":"1002.2973","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2010-02-15T22:40:45Z","cross_cats_sorted":["astro-ph.EP"],"title_canon_sha256":"628855729cf0edf4062e906c5cd215b98fa7484cd18fd688f3358bd657528735","abstract_canon_sha256":"9532f469a2bd1d716009ac5d6a98d41aa02382774508fc585be3cb10e6db4909"},"schema_version":"1.0"},"canonical_sha256":"d06c767f3af4dad7031468f639492de5b3ce40167193da6008053bc43aa5a975","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:08.036509Z","signature_b64":"Brak04zuex+J0NJeuWCrmiRmbKBCELD5vRQUdGig2hUdFcoakfmRuexCCy5H3KZI2AsNvm57q6l0+A4nR39fDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d06c767f3af4dad7031468f639492de5b3ce40167193da6008053bc43aa5a975","last_reissued_at":"2026-05-18T02:09:08.035705Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:08.035705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.2973","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":"2026-05-18T02:09:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mIhiZNakWVRDrtLm9EyZk8vNu6AZ/67cQb87dvpqqsCa5/WFM366gv17lojdHBuNZRc501XuDFn+5atLgP50AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T08:47:40.513925Z"},"content_sha256":"954849d0bb6cc261e80c1ce67bae1cd8c70a3057bab0351548cc06edbc90b347","schema_version":"1.0","event_id":"sha256:954849d0bb6cc261e80c1ce67bae1cd8c70a3057bab0351548cc06edbc90b347"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:2BWHM7Z26TNNOAYUND3DSSJN4W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the diffusive propagation of warps in thin accretion discs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.EP"],"primary_cat":"astro-ph.HE","authors_text":"2), (2) Isaac Newton Institute for Mathematical Studies, 4) ((1) Dipartimento di Fisica, Cambridge (3) Centre for Stellar, D. Price (3, G. Lodato (1, Monash University (4) School of Physics, Planetary Astrophysics, Universita' degli Studi di Milano, University of Exeter)","submitted_at":"2010-02-15T22:40:45Z","abstract_excerpt":"In this paper we revisit the issue of the propagation of warps in thin and viscous accretion discs. In this regime warps are know to propagate diffusively, with a diffusion coefficient approximately inversely proportional to the disc viscosity. Previous numerical investigations of this problem (Lodato & Pringle 2007) did not find a good agreement between the numerical results and the predictions of the analytic theories of warp propagation, both in the linear and in the non-linear case. Here, we take advantage of a new, low-memory and highly efficient SPH code to run a large set of very high r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.2973","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":"2026-05-18T02:09:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VKkKu3w2iGjmW/RiFoHms3O5PFnyIxkyKjsT9CsY0Kh4OqfC9KIsUka0X31jhmt+F2cGzXNfZIm04XTRxjJdBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T08:47:40.514273Z"},"content_sha256":"f5e7003c10d35d0a38ac0d997c07cb74a552f54c63a242cd93730a154e3284f4","schema_version":"1.0","event_id":"sha256:f5e7003c10d35d0a38ac0d997c07cb74a552f54c63a242cd93730a154e3284f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2BWHM7Z26TNNOAYUND3DSSJN4W/bundle.json","state_url":"https://pith.science/pith/2BWHM7Z26TNNOAYUND3DSSJN4W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2BWHM7Z26TNNOAYUND3DSSJN4W/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":"2026-06-27T08:47:40Z","links":{"resolver":"https://pith.science/pith/2BWHM7Z26TNNOAYUND3DSSJN4W","bundle":"https://pith.science/pith/2BWHM7Z26TNNOAYUND3DSSJN4W/bundle.json","state":"https://pith.science/pith/2BWHM7Z26TNNOAYUND3DSSJN4W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2BWHM7Z26TNNOAYUND3DSSJN4W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2BWHM7Z26TNNOAYUND3DSSJN4W","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":"9532f469a2bd1d716009ac5d6a98d41aa02382774508fc585be3cb10e6db4909","cross_cats_sorted":["astro-ph.EP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2010-02-15T22:40:45Z","title_canon_sha256":"628855729cf0edf4062e906c5cd215b98fa7484cd18fd688f3358bd657528735"},"schema_version":"1.0","source":{"id":"1002.2973","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.2973","created_at":"2026-05-18T02:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"1002.2973v1","created_at":"2026-05-18T02:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.2973","created_at":"2026-05-18T02:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"2BWHM7Z26TNN","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2BWHM7Z26TNNOAYU","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2BWHM7Z2","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:f5e7003c10d35d0a38ac0d997c07cb74a552f54c63a242cd93730a154e3284f4","target":"graph","created_at":"2026-05-18T02:09:08Z","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 revisit the issue of the propagation of warps in thin and viscous accretion discs. In this regime warps are know to propagate diffusively, with a diffusion coefficient approximately inversely proportional to the disc viscosity. Previous numerical investigations of this problem (Lodato & Pringle 2007) did not find a good agreement between the numerical results and the predictions of the analytic theories of warp propagation, both in the linear and in the non-linear case. Here, we take advantage of a new, low-memory and highly efficient SPH code to run a large set of very high r","authors_text":"2), (2) Isaac Newton Institute for Mathematical Studies, 4) ((1) Dipartimento di Fisica, Cambridge (3) Centre for Stellar, D. Price (3, G. Lodato (1, Monash University (4) School of Physics, Planetary Astrophysics, Universita' degli Studi di Milano, University of Exeter)","cross_cats":["astro-ph.EP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2010-02-15T22:40:45Z","title":"On the diffusive propagation of warps in thin accretion discs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.2973","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":"sha256:954849d0bb6cc261e80c1ce67bae1cd8c70a3057bab0351548cc06edbc90b347","target":"record","created_at":"2026-05-18T02:09:08Z","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":"9532f469a2bd1d716009ac5d6a98d41aa02382774508fc585be3cb10e6db4909","cross_cats_sorted":["astro-ph.EP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2010-02-15T22:40:45Z","title_canon_sha256":"628855729cf0edf4062e906c5cd215b98fa7484cd18fd688f3358bd657528735"},"schema_version":"1.0","source":{"id":"1002.2973","kind":"arxiv","version":1}},"canonical_sha256":"d06c767f3af4dad7031468f639492de5b3ce40167193da6008053bc43aa5a975","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d06c767f3af4dad7031468f639492de5b3ce40167193da6008053bc43aa5a975","first_computed_at":"2026-05-18T02:09:08.035705Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:08.035705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Brak04zuex+J0NJeuWCrmiRmbKBCELD5vRQUdGig2hUdFcoakfmRuexCCy5H3KZI2AsNvm57q6l0+A4nR39fDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:08.036509Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.2973","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:954849d0bb6cc261e80c1ce67bae1cd8c70a3057bab0351548cc06edbc90b347","sha256:f5e7003c10d35d0a38ac0d997c07cb74a552f54c63a242cd93730a154e3284f4"],"state_sha256":"4f1e86ef39d61241c489e41d441e1cc899fde43c42c967242b1d1f2be06c35e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TCZEWcsefvyOwdMUZ8/YNT/cyQJfS35ZkzPwVJfbJd+Rmv3UTto/EVUPNEbmQY1hORWgD4nKDuz0IBbnQQmcDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T08:47:40.516369Z","bundle_sha256":"1bcc96f710723492a3015ce909d105db1da177286f66eede766cd45aadbb81fe"}}