{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:3ROY4QFBLD4V73SPWWAAOHZWTK","short_pith_number":"pith:3ROY4QFB","canonical_record":{"source":{"id":"1009.4057","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-09-21T11:07:51Z","cross_cats_sorted":[],"title_canon_sha256":"289f9018d35e5aad06fde22ba6d7e44d48fc1e1db9caaa4be38563cac8cd5080","abstract_canon_sha256":"54fbcc71a4d06ae3ada4e29d923f556a1ae1b2eac9e5898fef1bccc06124ce12"},"schema_version":"1.0"},"canonical_sha256":"dc5d8e40a158f95fee4fb580071f369a901941189f919289eb61de9bf926a5a1","source":{"kind":"arxiv","id":"1009.4057","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4057","created_at":"2026-05-18T04:40:34Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4057v1","created_at":"2026-05-18T04:40:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4057","created_at":"2026-05-18T04:40:34Z"},{"alias_kind":"pith_short_12","alias_value":"3ROY4QFBLD4V","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3ROY4QFBLD4V73SP","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3ROY4QFB","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:3ROY4QFBLD4V73SPWWAAOHZWTK","target":"record","payload":{"canonical_record":{"source":{"id":"1009.4057","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-09-21T11:07:51Z","cross_cats_sorted":[],"title_canon_sha256":"289f9018d35e5aad06fde22ba6d7e44d48fc1e1db9caaa4be38563cac8cd5080","abstract_canon_sha256":"54fbcc71a4d06ae3ada4e29d923f556a1ae1b2eac9e5898fef1bccc06124ce12"},"schema_version":"1.0"},"canonical_sha256":"dc5d8e40a158f95fee4fb580071f369a901941189f919289eb61de9bf926a5a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:34.618265Z","signature_b64":"JREnKusqLEgknXYqrGcHFNTwhKAmX6DV6UmZjDiPyBi2mvl1PiNe+dukf27Pm5RiceCyzj2+sPdehd49KZLyBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc5d8e40a158f95fee4fb580071f369a901941189f919289eb61de9bf926a5a1","last_reissued_at":"2026-05-18T04:40:34.617689Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:34.617689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.4057","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":"2026-05-18T04:40:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HgFDc+4asn/f+v5p2ZwO+HNCxngnptwq7V1x/ArytwdI8T7+14ci1VBuhsSiop+qdt7fp7iAOydPAEYvSGEPBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:36:03.735290Z"},"content_sha256":"a410e4f8d39bfd1a4f62d71b7b3cbf121e28689a3fd209a0825fcd98497355eb","schema_version":"1.0","event_id":"sha256:a410e4f8d39bfd1a4f62d71b7b3cbf121e28689a3fd209a0825fcd98497355eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:3ROY4QFBLD4V73SPWWAAOHZWTK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Helicity invariants of force-free field for a rectangular box","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"G.V. Rudenko, I.I. Myshyakov","submitted_at":"2010-09-21T11:07:51Z","abstract_excerpt":"An algorithm for calculating three gauge-invariant helicities (self-, mutual- and Berger relative helicity) for a magnetic field specified in a rectangular box is described. The algorithm is tested on a well-known force-free model (Low and Lou, 1990) presented in vector-potential form."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4057","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":"2026-05-18T04:40:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VwNB8kR50hjZZZgCuj7FMna7esNFvc51A00wfTtSRKdwlKOeNkovNf3rEEeX8luRuUSQoF0xm1A4Yv8GSakXAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:36:03.735800Z"},"content_sha256":"bc0c9509c86adbe07a567b8d5057515144eb4e4e176355027d263a80361bbef4","schema_version":"1.0","event_id":"sha256:bc0c9509c86adbe07a567b8d5057515144eb4e4e176355027d263a80361bbef4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3ROY4QFBLD4V73SPWWAAOHZWTK/bundle.json","state_url":"https://pith.science/pith/3ROY4QFBLD4V73SPWWAAOHZWTK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3ROY4QFBLD4V73SPWWAAOHZWTK/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":"2026-05-30T23:36:03Z","links":{"resolver":"https://pith.science/pith/3ROY4QFBLD4V73SPWWAAOHZWTK","bundle":"https://pith.science/pith/3ROY4QFBLD4V73SPWWAAOHZWTK/bundle.json","state":"https://pith.science/pith/3ROY4QFBLD4V73SPWWAAOHZWTK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3ROY4QFBLD4V73SPWWAAOHZWTK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3ROY4QFBLD4V73SPWWAAOHZWTK","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":"54fbcc71a4d06ae3ada4e29d923f556a1ae1b2eac9e5898fef1bccc06124ce12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-09-21T11:07:51Z","title_canon_sha256":"289f9018d35e5aad06fde22ba6d7e44d48fc1e1db9caaa4be38563cac8cd5080"},"schema_version":"1.0","source":{"id":"1009.4057","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4057","created_at":"2026-05-18T04:40:34Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4057v1","created_at":"2026-05-18T04:40:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4057","created_at":"2026-05-18T04:40:34Z"},{"alias_kind":"pith_short_12","alias_value":"3ROY4QFBLD4V","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3ROY4QFBLD4V73SP","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3ROY4QFB","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:bc0c9509c86adbe07a567b8d5057515144eb4e4e176355027d263a80361bbef4","target":"graph","created_at":"2026-05-18T04:40:34Z","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":"An algorithm for calculating three gauge-invariant helicities (self-, mutual- and Berger relative helicity) for a magnetic field specified in a rectangular box is described. The algorithm is tested on a well-known force-free model (Low and Lou, 1990) presented in vector-potential form.","authors_text":"G.V. Rudenko, I.I. Myshyakov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-09-21T11:07:51Z","title":"Helicity invariants of force-free field for a rectangular box"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4057","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:a410e4f8d39bfd1a4f62d71b7b3cbf121e28689a3fd209a0825fcd98497355eb","target":"record","created_at":"2026-05-18T04:40:34Z","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":"54fbcc71a4d06ae3ada4e29d923f556a1ae1b2eac9e5898fef1bccc06124ce12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-09-21T11:07:51Z","title_canon_sha256":"289f9018d35e5aad06fde22ba6d7e44d48fc1e1db9caaa4be38563cac8cd5080"},"schema_version":"1.0","source":{"id":"1009.4057","kind":"arxiv","version":1}},"canonical_sha256":"dc5d8e40a158f95fee4fb580071f369a901941189f919289eb61de9bf926a5a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc5d8e40a158f95fee4fb580071f369a901941189f919289eb61de9bf926a5a1","first_computed_at":"2026-05-18T04:40:34.617689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:34.617689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JREnKusqLEgknXYqrGcHFNTwhKAmX6DV6UmZjDiPyBi2mvl1PiNe+dukf27Pm5RiceCyzj2+sPdehd49KZLyBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:34.618265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.4057","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a410e4f8d39bfd1a4f62d71b7b3cbf121e28689a3fd209a0825fcd98497355eb","sha256:bc0c9509c86adbe07a567b8d5057515144eb4e4e176355027d263a80361bbef4"],"state_sha256":"62c8f62a12771e1ca4eb965f91c13e869f15060cc752da4695343a8917ffdba7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wnkQm52UEg/OlXVPJwRy3IrTwGpp6G7A9v4mzpUMuGexlaHfgjn3yFSL4Fc77AJMhbKPGlV4Nc1OtX1NlFDqCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T23:36:03.739331Z","bundle_sha256":"8a11e1c2da8124e513252272153354d0c57ea6c5f1dd3a2b9dd37bd4ffbb401c"}}