{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:WQPJQJNX3HDYNCJCRAE3ONRPDE","short_pith_number":"pith:WQPJQJNX","canonical_record":{"source":{"id":"0910.1796","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-10-09T17:40:36Z","cross_cats_sorted":[],"title_canon_sha256":"8ddfea42ab15b8a5d2b37691641bac09a7960fa54ca289c893d05ab6a30e971c","abstract_canon_sha256":"66777c810c86d64bdb0dc0892400da9370eaca227ce88dd247cf3a431f487c1a"},"schema_version":"1.0"},"canonical_sha256":"b41e9825b7d9c78689228809b7362f192a237c33498297bfe6c417a717679c24","source":{"kind":"arxiv","id":"0910.1796","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.1796","created_at":"2026-05-18T04:37:33Z"},{"alias_kind":"arxiv_version","alias_value":"0910.1796v1","created_at":"2026-05-18T04:37:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.1796","created_at":"2026-05-18T04:37:33Z"},{"alias_kind":"pith_short_12","alias_value":"WQPJQJNX3HDY","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"WQPJQJNX3HDYNCJC","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"WQPJQJNX","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:WQPJQJNX3HDYNCJCRAE3ONRPDE","target":"record","payload":{"canonical_record":{"source":{"id":"0910.1796","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-10-09T17:40:36Z","cross_cats_sorted":[],"title_canon_sha256":"8ddfea42ab15b8a5d2b37691641bac09a7960fa54ca289c893d05ab6a30e971c","abstract_canon_sha256":"66777c810c86d64bdb0dc0892400da9370eaca227ce88dd247cf3a431f487c1a"},"schema_version":"1.0"},"canonical_sha256":"b41e9825b7d9c78689228809b7362f192a237c33498297bfe6c417a717679c24","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:33.643663Z","signature_b64":"ORVZVbvI3rlu0cXz4F11Kx/hAbwYmAB/SiHCScFWj2lNjylS0aP1XIxVI2XUAoviDc0imJpA5ugRS3Z61oJmDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b41e9825b7d9c78689228809b7362f192a237c33498297bfe6c417a717679c24","last_reissued_at":"2026-05-18T04:37:33.643032Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:33.643032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.1796","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":"2026-05-18T04:37:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oXnLSb5IOjh8asNglcdC5ukoVjGC86EB3N6EMDtvGqFU1t3lgm57pAdw4eCZtV4c9s5fGmS7bOwBhqdMtVhDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:22:26.272175Z"},"content_sha256":"7346c3d31c4646fe24ce9d4e05c30d8af1693a16c122947f205bc9116aebb336","schema_version":"1.0","event_id":"sha256:7346c3d31c4646fe24ce9d4e05c30d8af1693a16c122947f205bc9116aebb336"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:WQPJQJNX3HDYNCJCRAE3ONRPDE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comparison of the thin flux tube approximation with 3D MHD simulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"L. Yelles Chaouche, M. Schuessler, S. K. Solanki","submitted_at":"2009-10-09T17:40:36Z","abstract_excerpt":"The structure and dynamics of small vertical photospheric magnetic flux concentrations has been often treated in the framework of an approximation based upon a low-order truncation of the Taylor expansions of all quantities in the horizontal direction, together with the assumption of instantaneous total pressure balance at the boundary to the non-magnetic external medium. Formally, such an approximation is justified if the diameter of the structure (a flux tube or a flux sheet) is small compared to all other relevant length scales (scale height, radius of curvature, wavelength, etc.). The adve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.1796","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":"2026-05-18T04:37:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TewTvQp+rrsjtpl9eb1H/4aMgFTPPt4HMP24UBJjV3iNvqO5NlO+dfBdj6g5zeAab8XcVWgCZcREZ07e/SQaAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:22:26.272825Z"},"content_sha256":"a2e85214aa1a287a872f296b067ff9e472c4611117935e1cd6c2932a1b16c210","schema_version":"1.0","event_id":"sha256:a2e85214aa1a287a872f296b067ff9e472c4611117935e1cd6c2932a1b16c210"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WQPJQJNX3HDYNCJCRAE3ONRPDE/bundle.json","state_url":"https://pith.science/pith/WQPJQJNX3HDYNCJCRAE3ONRPDE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WQPJQJNX3HDYNCJCRAE3ONRPDE/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":"2026-05-26T15:22:26Z","links":{"resolver":"https://pith.science/pith/WQPJQJNX3HDYNCJCRAE3ONRPDE","bundle":"https://pith.science/pith/WQPJQJNX3HDYNCJCRAE3ONRPDE/bundle.json","state":"https://pith.science/pith/WQPJQJNX3HDYNCJCRAE3ONRPDE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WQPJQJNX3HDYNCJCRAE3ONRPDE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:WQPJQJNX3HDYNCJCRAE3ONRPDE","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":"66777c810c86d64bdb0dc0892400da9370eaca227ce88dd247cf3a431f487c1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-10-09T17:40:36Z","title_canon_sha256":"8ddfea42ab15b8a5d2b37691641bac09a7960fa54ca289c893d05ab6a30e971c"},"schema_version":"1.0","source":{"id":"0910.1796","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.1796","created_at":"2026-05-18T04:37:33Z"},{"alias_kind":"arxiv_version","alias_value":"0910.1796v1","created_at":"2026-05-18T04:37:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.1796","created_at":"2026-05-18T04:37:33Z"},{"alias_kind":"pith_short_12","alias_value":"WQPJQJNX3HDY","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"WQPJQJNX3HDYNCJC","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"WQPJQJNX","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:a2e85214aa1a287a872f296b067ff9e472c4611117935e1cd6c2932a1b16c210","target":"graph","created_at":"2026-05-18T04:37:33Z","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":"The structure and dynamics of small vertical photospheric magnetic flux concentrations has been often treated in the framework of an approximation based upon a low-order truncation of the Taylor expansions of all quantities in the horizontal direction, together with the assumption of instantaneous total pressure balance at the boundary to the non-magnetic external medium. Formally, such an approximation is justified if the diameter of the structure (a flux tube or a flux sheet) is small compared to all other relevant length scales (scale height, radius of curvature, wavelength, etc.). The adve","authors_text":"L. Yelles Chaouche, M. Schuessler, S. K. Solanki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-10-09T17:40:36Z","title":"Comparison of the thin flux tube approximation with 3D MHD simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.1796","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":"sha256:7346c3d31c4646fe24ce9d4e05c30d8af1693a16c122947f205bc9116aebb336","target":"record","created_at":"2026-05-18T04:37:33Z","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":"66777c810c86d64bdb0dc0892400da9370eaca227ce88dd247cf3a431f487c1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-10-09T17:40:36Z","title_canon_sha256":"8ddfea42ab15b8a5d2b37691641bac09a7960fa54ca289c893d05ab6a30e971c"},"schema_version":"1.0","source":{"id":"0910.1796","kind":"arxiv","version":1}},"canonical_sha256":"b41e9825b7d9c78689228809b7362f192a237c33498297bfe6c417a717679c24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b41e9825b7d9c78689228809b7362f192a237c33498297bfe6c417a717679c24","first_computed_at":"2026-05-18T04:37:33.643032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:33.643032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ORVZVbvI3rlu0cXz4F11Kx/hAbwYmAB/SiHCScFWj2lNjylS0aP1XIxVI2XUAoviDc0imJpA5ugRS3Z61oJmDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:33.643663Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.1796","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7346c3d31c4646fe24ce9d4e05c30d8af1693a16c122947f205bc9116aebb336","sha256:a2e85214aa1a287a872f296b067ff9e472c4611117935e1cd6c2932a1b16c210"],"state_sha256":"9f95f4b712e77974a696767370f69384edf07a266b47f51df3a492c75b964f8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2K4JD87cKkz00S7mvSBAzfWzevQQVYIuu4qGwUlTwUt595J2Ve0EmuXoDamhBlBHcrz4b7+9BXv2+cqqPrvmDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T15:22:26.276776Z","bundle_sha256":"d8d72c8d3e8554f40104ced36b2dc4e9009986b6198382fcd7fe30060b16c1a4"}}