{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:72PRBKELMJABRRX777FK4I43SO","short_pith_number":"pith:72PRBKEL","canonical_record":{"source":{"id":"1212.5757","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-12-23T03:10:10Z","cross_cats_sorted":[],"title_canon_sha256":"c9d50f58cfa1468eddfb97ac5438b39ee1fe0bd1c11a5adc06f7f9bebef5de72","abstract_canon_sha256":"9eeeada599c6929da20103e35ad8d2414c383e7a6f2da320135add11a30f0c92"},"schema_version":"1.0"},"canonical_sha256":"fe9f10a88b624018c6ffffcaae239b938ff74892d986e0f075f107e26bbf0dee","source":{"kind":"arxiv","id":"1212.5757","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.5757","created_at":"2026-05-18T03:07:52Z"},{"alias_kind":"arxiv_version","alias_value":"1212.5757v1","created_at":"2026-05-18T03:07:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.5757","created_at":"2026-05-18T03:07:52Z"},{"alias_kind":"pith_short_12","alias_value":"72PRBKELMJAB","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"72PRBKELMJABRRX7","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"72PRBKEL","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:72PRBKELMJABRRX777FK4I43SO","target":"record","payload":{"canonical_record":{"source":{"id":"1212.5757","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-12-23T03:10:10Z","cross_cats_sorted":[],"title_canon_sha256":"c9d50f58cfa1468eddfb97ac5438b39ee1fe0bd1c11a5adc06f7f9bebef5de72","abstract_canon_sha256":"9eeeada599c6929da20103e35ad8d2414c383e7a6f2da320135add11a30f0c92"},"schema_version":"1.0"},"canonical_sha256":"fe9f10a88b624018c6ffffcaae239b938ff74892d986e0f075f107e26bbf0dee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:52.679342Z","signature_b64":"jfUIbBp2J/9VLekAMdMq67DBOL/7Uhc/K32oXI8Ue0eQd+MiLl7FT3gJqYaZeJsDlQbH0lesEIO2n2NzYMpZAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe9f10a88b624018c6ffffcaae239b938ff74892d986e0f075f107e26bbf0dee","last_reissued_at":"2026-05-18T03:07:52.678599Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:52.678599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.5757","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":"2026-05-18T03:07:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"abEmKIbmP0snLzyWZBo42fFOCj0scgI4jm8w3r72Cjt1/S8CkJwBrfgZ9D1F9YAGK0VGkCaVryfQFtRPt+7jBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T08:40:29.945642Z"},"content_sha256":"269878e451bdb5fa7e8efba541574fce1488987ad4b2e4447b4a2c9b0a0133ac","schema_version":"1.0","event_id":"sha256:269878e451bdb5fa7e8efba541574fce1488987ad4b2e4447b4a2c9b0a0133ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:72PRBKELMJABRRX777FK4I43SO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conditions for plasma evolution to the\\ strong general Woltjer-Taylor state","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.plasm-ph","authors_text":"Hong-yi Fan, Jun-Hua Chen","submitted_at":"2012-12-23T03:10:10Z","abstract_excerpt":"We find that the proof in the recent paper$\\textsuperscript{\\cite{14}}$ can not justify the authors' conclusion. We provide a real proof that any state will eventually evolves to the Woltjer-Taylor state exponentially. However, this kind of evolution is is mainly due to Joule heat, which also makes the magnetic field vanishes exponentially. Zero Woltjer-Taylor states are not physically attractive. Instead of examine $\\Delta$, we introduce the quantity $\\theta_{\\nabla \\times \\vec{B},\\vec{B}}$ and $R$ to examine if the plasma reaches to the strong (general) Woltjer-Taylor state, and then derive "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5757","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":"2026-05-18T03:07:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KekNEurzu5JZMTSyCVYtmJPsEwTY0uNckfkb3LftYGIrIpF193ly0QlYHaLqtoDomuc8FuQSXTnT4t4uUeaoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T08:40:29.946302Z"},"content_sha256":"79ecf52df951c325b7180380ee1096d02622ab4eac7a86c4bb92bbe8d4e70c21","schema_version":"1.0","event_id":"sha256:79ecf52df951c325b7180380ee1096d02622ab4eac7a86c4bb92bbe8d4e70c21"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/72PRBKELMJABRRX777FK4I43SO/bundle.json","state_url":"https://pith.science/pith/72PRBKELMJABRRX777FK4I43SO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/72PRBKELMJABRRX777FK4I43SO/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":"2026-06-21T08:40:29Z","links":{"resolver":"https://pith.science/pith/72PRBKELMJABRRX777FK4I43SO","bundle":"https://pith.science/pith/72PRBKELMJABRRX777FK4I43SO/bundle.json","state":"https://pith.science/pith/72PRBKELMJABRRX777FK4I43SO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/72PRBKELMJABRRX777FK4I43SO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:72PRBKELMJABRRX777FK4I43SO","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":"9eeeada599c6929da20103e35ad8d2414c383e7a6f2da320135add11a30f0c92","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-12-23T03:10:10Z","title_canon_sha256":"c9d50f58cfa1468eddfb97ac5438b39ee1fe0bd1c11a5adc06f7f9bebef5de72"},"schema_version":"1.0","source":{"id":"1212.5757","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.5757","created_at":"2026-05-18T03:07:52Z"},{"alias_kind":"arxiv_version","alias_value":"1212.5757v1","created_at":"2026-05-18T03:07:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.5757","created_at":"2026-05-18T03:07:52Z"},{"alias_kind":"pith_short_12","alias_value":"72PRBKELMJAB","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"72PRBKELMJABRRX7","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"72PRBKEL","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:79ecf52df951c325b7180380ee1096d02622ab4eac7a86c4bb92bbe8d4e70c21","target":"graph","created_at":"2026-05-18T03:07:52Z","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":"We find that the proof in the recent paper$\\textsuperscript{\\cite{14}}$ can not justify the authors' conclusion. We provide a real proof that any state will eventually evolves to the Woltjer-Taylor state exponentially. However, this kind of evolution is is mainly due to Joule heat, which also makes the magnetic field vanishes exponentially. Zero Woltjer-Taylor states are not physically attractive. Instead of examine $\\Delta$, we introduce the quantity $\\theta_{\\nabla \\times \\vec{B},\\vec{B}}$ and $R$ to examine if the plasma reaches to the strong (general) Woltjer-Taylor state, and then derive ","authors_text":"Hong-yi Fan, Jun-Hua Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-12-23T03:10:10Z","title":"Conditions for plasma evolution to the\\ strong general Woltjer-Taylor state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5757","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":"sha256:269878e451bdb5fa7e8efba541574fce1488987ad4b2e4447b4a2c9b0a0133ac","target":"record","created_at":"2026-05-18T03:07:52Z","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":"9eeeada599c6929da20103e35ad8d2414c383e7a6f2da320135add11a30f0c92","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-12-23T03:10:10Z","title_canon_sha256":"c9d50f58cfa1468eddfb97ac5438b39ee1fe0bd1c11a5adc06f7f9bebef5de72"},"schema_version":"1.0","source":{"id":"1212.5757","kind":"arxiv","version":1}},"canonical_sha256":"fe9f10a88b624018c6ffffcaae239b938ff74892d986e0f075f107e26bbf0dee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe9f10a88b624018c6ffffcaae239b938ff74892d986e0f075f107e26bbf0dee","first_computed_at":"2026-05-18T03:07:52.678599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:52.678599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jfUIbBp2J/9VLekAMdMq67DBOL/7Uhc/K32oXI8Ue0eQd+MiLl7FT3gJqYaZeJsDlQbH0lesEIO2n2NzYMpZAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:52.679342Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.5757","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:269878e451bdb5fa7e8efba541574fce1488987ad4b2e4447b4a2c9b0a0133ac","sha256:79ecf52df951c325b7180380ee1096d02622ab4eac7a86c4bb92bbe8d4e70c21"],"state_sha256":"0d76ae66b39189601f6c91060d71a83fba1fdbf3cb27a95cb6b356bcb5586ce3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8nUEHVOmBv3bHX2XvopVgeBkpSvH+ncidMjkL4bcCqNFFeSvJil8wF31MWUGwq6hJeBP4NE/tth1/hONQaBVBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T08:40:29.949913Z","bundle_sha256":"12013f122173e90145acbc4c4d34bfa1352a396781a4f1ba843cb94a707fa058"}}