{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:57NNYJM5YFP5QDHR3HCEKYW3I7","short_pith_number":"pith:57NNYJM5","canonical_record":{"source":{"id":"physics/0009081","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.plasm-ph","submitted_at":"2000-09-27T08:47:04Z","cross_cats_sorted":[],"title_canon_sha256":"532c36cb6bc86d7a3aba37b00a8faac7f7f86e9852f2323d301d2bad7d7fa8c8","abstract_canon_sha256":"bbd5b7fd7264305b5903cdd1c15b34a2a82a7cebf6e7efd6a01c6b469d10c123"},"schema_version":"1.0"},"canonical_sha256":"efdadc259dc15fd80cf1d9c44562db47cfcfe83ce1450ea776c41f46ad2f33fc","source":{"kind":"arxiv","id":"physics/0009081","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0009081","created_at":"2026-05-18T01:38:11Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0009081v1","created_at":"2026-05-18T01:38:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0009081","created_at":"2026-05-18T01:38:11Z"},{"alias_kind":"pith_short_12","alias_value":"57NNYJM5YFP5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"57NNYJM5YFP5QDHR","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"57NNYJM5","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:57NNYJM5YFP5QDHR3HCEKYW3I7","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0009081","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.plasm-ph","submitted_at":"2000-09-27T08:47:04Z","cross_cats_sorted":[],"title_canon_sha256":"532c36cb6bc86d7a3aba37b00a8faac7f7f86e9852f2323d301d2bad7d7fa8c8","abstract_canon_sha256":"bbd5b7fd7264305b5903cdd1c15b34a2a82a7cebf6e7efd6a01c6b469d10c123"},"schema_version":"1.0"},"canonical_sha256":"efdadc259dc15fd80cf1d9c44562db47cfcfe83ce1450ea776c41f46ad2f33fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:11.381042Z","signature_b64":"pV3rqozzXM8zoFgWmi6sdJBB/4aWTDcFvSXw63jSfgPV+AVLrExQnNyC5x+CW29UEa+dOxvfk9kTOXdBQghmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efdadc259dc15fd80cf1d9c44562db47cfcfe83ce1450ea776c41f46ad2f33fc","last_reissued_at":"2026-05-18T01:38:11.380485Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:11.380485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0009081","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":"2026-05-18T01:38:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tfry4CNCkuNTIKymrE907Rb4hLww2LioyihNrL4kGSC043gZoM980C/R0Po0DtF9899f6bSFhUYG0IE23SRuBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:47:37.247309Z"},"content_sha256":"bb2d0337c7f761ca9191d1b696ecc69018b5d8aa86bfe89124de4ca32403174f","schema_version":"1.0","event_id":"sha256:bb2d0337c7f761ca9191d1b696ecc69018b5d8aa86bfe89124de4ca32403174f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:57NNYJM5YFP5QDHR3HCEKYW3I7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On resistive magnetohydrodynamic equilibria of an axisymmetric toroidal plasma with flow","license":"","headline":"","cross_cats":[],"primary_cat":"physics.plasm-ph","authors_text":"G. N. Throumoulopoulos, H. Tasso","submitted_at":"2000-09-27T08:47:04Z","abstract_excerpt":"It is shown that the magnetohydrodynamic equilibrium states of an axisymmetric toroidal plasma with finite resistivity and flows parallel to the magnetic field are governed by a second-order partial differential equation for the poloidal magnetic flux function $\\psi$ coupled with a Bernoulli type equation for the plasma density (which are identical in form to the corresponding ideal MHD equilibrium equations) along with the relation $\\Delta^\\star \\psi=V_c \\sigma$. (Here, $\\Delta^\\star$ is the Grad-Schl\\\"{u}ter-Shafranov operator, $\\sigma$ is the conductivity and $V_c$ is the constant toroidal-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0009081","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":"2026-05-18T01:38:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FOiWvL2YVXKL2ERPI2K5HHa2Xg+WIupLOoXOupcYS136ewwBUokP2q39CKqMBytPyrF/a3e3eYv9cvS2OznPBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:47:37.247723Z"},"content_sha256":"eb3e1419ae3601ee4ce1ce3aaddfb5c16f98954a7151e50e6b2d3b744735f937","schema_version":"1.0","event_id":"sha256:eb3e1419ae3601ee4ce1ce3aaddfb5c16f98954a7151e50e6b2d3b744735f937"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/57NNYJM5YFP5QDHR3HCEKYW3I7/bundle.json","state_url":"https://pith.science/pith/57NNYJM5YFP5QDHR3HCEKYW3I7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/57NNYJM5YFP5QDHR3HCEKYW3I7/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":"2026-05-28T20:47:37Z","links":{"resolver":"https://pith.science/pith/57NNYJM5YFP5QDHR3HCEKYW3I7","bundle":"https://pith.science/pith/57NNYJM5YFP5QDHR3HCEKYW3I7/bundle.json","state":"https://pith.science/pith/57NNYJM5YFP5QDHR3HCEKYW3I7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/57NNYJM5YFP5QDHR3HCEKYW3I7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:57NNYJM5YFP5QDHR3HCEKYW3I7","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":"bbd5b7fd7264305b5903cdd1c15b34a2a82a7cebf6e7efd6a01c6b469d10c123","cross_cats_sorted":[],"license":"","primary_cat":"physics.plasm-ph","submitted_at":"2000-09-27T08:47:04Z","title_canon_sha256":"532c36cb6bc86d7a3aba37b00a8faac7f7f86e9852f2323d301d2bad7d7fa8c8"},"schema_version":"1.0","source":{"id":"physics/0009081","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0009081","created_at":"2026-05-18T01:38:11Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0009081v1","created_at":"2026-05-18T01:38:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0009081","created_at":"2026-05-18T01:38:11Z"},{"alias_kind":"pith_short_12","alias_value":"57NNYJM5YFP5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"57NNYJM5YFP5QDHR","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"57NNYJM5","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:eb3e1419ae3601ee4ce1ce3aaddfb5c16f98954a7151e50e6b2d3b744735f937","target":"graph","created_at":"2026-05-18T01:38:11Z","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":"It is shown that the magnetohydrodynamic equilibrium states of an axisymmetric toroidal plasma with finite resistivity and flows parallel to the magnetic field are governed by a second-order partial differential equation for the poloidal magnetic flux function $\\psi$ coupled with a Bernoulli type equation for the plasma density (which are identical in form to the corresponding ideal MHD equilibrium equations) along with the relation $\\Delta^\\star \\psi=V_c \\sigma$. (Here, $\\Delta^\\star$ is the Grad-Schl\\\"{u}ter-Shafranov operator, $\\sigma$ is the conductivity and $V_c$ is the constant toroidal-","authors_text":"G. N. Throumoulopoulos, H. Tasso","cross_cats":[],"headline":"","license":"","primary_cat":"physics.plasm-ph","submitted_at":"2000-09-27T08:47:04Z","title":"On resistive magnetohydrodynamic equilibria of an axisymmetric toroidal plasma with flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0009081","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:bb2d0337c7f761ca9191d1b696ecc69018b5d8aa86bfe89124de4ca32403174f","target":"record","created_at":"2026-05-18T01:38:11Z","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":"bbd5b7fd7264305b5903cdd1c15b34a2a82a7cebf6e7efd6a01c6b469d10c123","cross_cats_sorted":[],"license":"","primary_cat":"physics.plasm-ph","submitted_at":"2000-09-27T08:47:04Z","title_canon_sha256":"532c36cb6bc86d7a3aba37b00a8faac7f7f86e9852f2323d301d2bad7d7fa8c8"},"schema_version":"1.0","source":{"id":"physics/0009081","kind":"arxiv","version":1}},"canonical_sha256":"efdadc259dc15fd80cf1d9c44562db47cfcfe83ce1450ea776c41f46ad2f33fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efdadc259dc15fd80cf1d9c44562db47cfcfe83ce1450ea776c41f46ad2f33fc","first_computed_at":"2026-05-18T01:38:11.380485Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:11.380485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pV3rqozzXM8zoFgWmi6sdJBB/4aWTDcFvSXw63jSfgPV+AVLrExQnNyC5x+CW29UEa+dOxvfk9kTOXdBQghmAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:11.381042Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0009081","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb2d0337c7f761ca9191d1b696ecc69018b5d8aa86bfe89124de4ca32403174f","sha256:eb3e1419ae3601ee4ce1ce3aaddfb5c16f98954a7151e50e6b2d3b744735f937"],"state_sha256":"cf0ba9b5cbef84dc381dec163005fbff883056ee93bb661ab0acb980ba54a08d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D4Qzr0X48jmBqDUOMQ6WADhVYyVSLGcW6kbpIcMuv/GDbvvZFElA7h5BWyuwqitdigX78/HbjBDvWWszhIB5BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T20:47:37.251102Z","bundle_sha256":"d620cbd82e9e7c08aadeccc001dc7be9ecb1ba88230a7cc98f15bb8e13720a97"}}