{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:EBFXFABECCDIBQJLOCNQLJEJGD","short_pith_number":"pith:EBFXFABE","canonical_record":{"source":{"id":"1607.05070","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2016-07-18T13:49:19Z","cross_cats_sorted":["astro-ph.IM"],"title_canon_sha256":"98199d1f05c1ae94068b1d9c0c8e98f7547192b6d5786c1e9c4f7d11bdac785c","abstract_canon_sha256":"2a83cb8ac8aa3790247149e2e304cf85076b22155b592ae9c4554ba43c344b35"},"schema_version":"1.0"},"canonical_sha256":"204b728024108680c12b709b05a48930f13e7509c95adb97acd0f4b04ccb68e6","source":{"kind":"arxiv","id":"1607.05070","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.05070","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"arxiv_version","alias_value":"1607.05070v2","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.05070","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"pith_short_12","alias_value":"EBFXFABECCDI","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EBFXFABECCDIBQJL","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EBFXFABE","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:EBFXFABECCDIBQJLOCNQLJEJGD","target":"record","payload":{"canonical_record":{"source":{"id":"1607.05070","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2016-07-18T13:49:19Z","cross_cats_sorted":["astro-ph.IM"],"title_canon_sha256":"98199d1f05c1ae94068b1d9c0c8e98f7547192b6d5786c1e9c4f7d11bdac785c","abstract_canon_sha256":"2a83cb8ac8aa3790247149e2e304cf85076b22155b592ae9c4554ba43c344b35"},"schema_version":"1.0"},"canonical_sha256":"204b728024108680c12b709b05a48930f13e7509c95adb97acd0f4b04ccb68e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:57.280711Z","signature_b64":"vVqUXKU7a5fC3kHWe9O1tp4lBqAzJ9E1fD9+0iIDRwp1wkxNZRrn1/U9xxxb+ujuXpX0S2bi0v3xicwFO5gFCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"204b728024108680c12b709b05a48930f13e7509c95adb97acd0f4b04ccb68e6","last_reissued_at":"2026-05-18T01:09:57.280046Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:57.280046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.05070","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:09:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NwDfzKzS4OfYo/aIgC0TozOifn5WcmZyx3O+z/BHPfDCuajzyIkyc/lj27tPDt2WkcntbtUfPDFA4Jc8mB4gBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:02:31.391974Z"},"content_sha256":"662f5030fdde3bacf653100af44babde354571462925c281c842433396c85a87","schema_version":"1.0","event_id":"sha256:662f5030fdde3bacf653100af44babde354571462925c281c842433396c85a87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:EBFXFABECCDIBQJLOCNQLJEJGD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-region relaxed Hall magnetohydrodynamics with flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.IM"],"primary_cat":"physics.plasm-ph","authors_text":"Hamdi M. Abdelhamid, Manasvi Lingam, Stuart R. Hudson","submitted_at":"2016-07-18T13:49:19Z","abstract_excerpt":"The recent formulations of multi-region relaxed magnetohydrodynamics (MRxMHD) have generalized the famous Woltjer-Taylor states by incorporating a collection of \"ideal barriers\" that prevent global relaxation, and flow. In this paper, we generalize MRxMHD with flow to include Hall effects (MRxHMHD), and thereby obtain the partially relaxed counterparts of the famous double Beltrami states as a special subset. The physical and mathematical consequences arising from the introduction of the Hall term are also presented. We demonstrate that our results (in the ideal MHD limit) constitute an import"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.05070","kind":"arxiv","version":2},"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":"2026-05-18T01:09:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H3oBxhIflkidZRO+km3lsXu69q+JDVywq8xfSfy3rGH6oXyOuYF0xnc+C5zr8pWzgMvEDjlLsk1942Qh9EluDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:02:31.392359Z"},"content_sha256":"f817cbb84d84678d6df92c72c7462c4d425bc3cddfb14e112e4946dd432cc4eb","schema_version":"1.0","event_id":"sha256:f817cbb84d84678d6df92c72c7462c4d425bc3cddfb14e112e4946dd432cc4eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EBFXFABECCDIBQJLOCNQLJEJGD/bundle.json","state_url":"https://pith.science/pith/EBFXFABECCDIBQJLOCNQLJEJGD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EBFXFABECCDIBQJLOCNQLJEJGD/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":"2026-05-27T21:02:31Z","links":{"resolver":"https://pith.science/pith/EBFXFABECCDIBQJLOCNQLJEJGD","bundle":"https://pith.science/pith/EBFXFABECCDIBQJLOCNQLJEJGD/bundle.json","state":"https://pith.science/pith/EBFXFABECCDIBQJLOCNQLJEJGD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EBFXFABECCDIBQJLOCNQLJEJGD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EBFXFABECCDIBQJLOCNQLJEJGD","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":"2a83cb8ac8aa3790247149e2e304cf85076b22155b592ae9c4554ba43c344b35","cross_cats_sorted":["astro-ph.IM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2016-07-18T13:49:19Z","title_canon_sha256":"98199d1f05c1ae94068b1d9c0c8e98f7547192b6d5786c1e9c4f7d11bdac785c"},"schema_version":"1.0","source":{"id":"1607.05070","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.05070","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"arxiv_version","alias_value":"1607.05070v2","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.05070","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"pith_short_12","alias_value":"EBFXFABECCDI","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EBFXFABECCDIBQJL","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EBFXFABE","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:f817cbb84d84678d6df92c72c7462c4d425bc3cddfb14e112e4946dd432cc4eb","target":"graph","created_at":"2026-05-18T01:09:57Z","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 recent formulations of multi-region relaxed magnetohydrodynamics (MRxMHD) have generalized the famous Woltjer-Taylor states by incorporating a collection of \"ideal barriers\" that prevent global relaxation, and flow. In this paper, we generalize MRxMHD with flow to include Hall effects (MRxHMHD), and thereby obtain the partially relaxed counterparts of the famous double Beltrami states as a special subset. The physical and mathematical consequences arising from the introduction of the Hall term are also presented. We demonstrate that our results (in the ideal MHD limit) constitute an import","authors_text":"Hamdi M. Abdelhamid, Manasvi Lingam, Stuart R. Hudson","cross_cats":["astro-ph.IM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2016-07-18T13:49:19Z","title":"Multi-region relaxed Hall magnetohydrodynamics with flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.05070","kind":"arxiv","version":2},"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":"sha256:662f5030fdde3bacf653100af44babde354571462925c281c842433396c85a87","target":"record","created_at":"2026-05-18T01:09:57Z","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":"2a83cb8ac8aa3790247149e2e304cf85076b22155b592ae9c4554ba43c344b35","cross_cats_sorted":["astro-ph.IM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2016-07-18T13:49:19Z","title_canon_sha256":"98199d1f05c1ae94068b1d9c0c8e98f7547192b6d5786c1e9c4f7d11bdac785c"},"schema_version":"1.0","source":{"id":"1607.05070","kind":"arxiv","version":2}},"canonical_sha256":"204b728024108680c12b709b05a48930f13e7509c95adb97acd0f4b04ccb68e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"204b728024108680c12b709b05a48930f13e7509c95adb97acd0f4b04ccb68e6","first_computed_at":"2026-05-18T01:09:57.280046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:57.280046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vVqUXKU7a5fC3kHWe9O1tp4lBqAzJ9E1fD9+0iIDRwp1wkxNZRrn1/U9xxxb+ujuXpX0S2bi0v3xicwFO5gFCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:57.280711Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.05070","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:662f5030fdde3bacf653100af44babde354571462925c281c842433396c85a87","sha256:f817cbb84d84678d6df92c72c7462c4d425bc3cddfb14e112e4946dd432cc4eb"],"state_sha256":"dd1d40b833bd75131b29eb8d11115970d9c6670510ca20b1964f3616b0badfab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3VZE0blxr0g1tQYHIogqS3IQGyt5CVOZVHapnYn4F4JZerucymJFsUmDx9nMqBV3I99B82Qumd4id5iXoCryCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:02:31.395072Z","bundle_sha256":"05a5174815835ef07b09f5191b3e0e49519a3687025ec3be379e105406b721cc"}}