{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:PI5R6NGW6UIMZ253OFUBPHXJMW","short_pith_number":"pith:PI5R6NGW","canonical_record":{"source":{"id":"1701.07272","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.space-ph","submitted_at":"2017-01-25T11:38:12Z","cross_cats_sorted":["physics.geo-ph"],"title_canon_sha256":"99f75bc80221627347e6d808b3b005516e78135a0d5a22af3f3ad82b06a7bd1c","abstract_canon_sha256":"5fa9ba6356bab5e264c0d9ba7ee04c25b6c634a6d2b8706c2171ca0fe5c81b1d"},"schema_version":"1.0"},"canonical_sha256":"7a3b1f34d6f510ccebbb7168179ee965a926177ed25ff6973212bfb0c0ca0bf1","source":{"kind":"arxiv","id":"1701.07272","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07272","created_at":"2026-05-18T00:52:05Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07272v1","created_at":"2026-05-18T00:52:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07272","created_at":"2026-05-18T00:52:05Z"},{"alias_kind":"pith_short_12","alias_value":"PI5R6NGW6UIM","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PI5R6NGW6UIMZ253","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PI5R6NGW","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:PI5R6NGW6UIMZ253OFUBPHXJMW","target":"record","payload":{"canonical_record":{"source":{"id":"1701.07272","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.space-ph","submitted_at":"2017-01-25T11:38:12Z","cross_cats_sorted":["physics.geo-ph"],"title_canon_sha256":"99f75bc80221627347e6d808b3b005516e78135a0d5a22af3f3ad82b06a7bd1c","abstract_canon_sha256":"5fa9ba6356bab5e264c0d9ba7ee04c25b6c634a6d2b8706c2171ca0fe5c81b1d"},"schema_version":"1.0"},"canonical_sha256":"7a3b1f34d6f510ccebbb7168179ee965a926177ed25ff6973212bfb0c0ca0bf1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:05.103623Z","signature_b64":"qYG+TcZEcriLG3fDkXrfIgs06Zmb52IuzOsX00PSatIpAiEnFuO+NErrb334ormGyNrP5Hd553WqBwLtsLKDDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a3b1f34d6f510ccebbb7168179ee965a926177ed25ff6973212bfb0c0ca0bf1","last_reissued_at":"2026-05-18T00:52:05.103154Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:05.103154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.07272","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":"2026-05-18T00:52:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L2Pi59kzOTgB3lgK7+7NlGjKaL8nwxS5YCL3OxBl6Iy003NOeMD1e6800AV76GY+2nX2yZKCaY59gckfTj6cDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T06:19:19.264268Z"},"content_sha256":"a658556a13fa592ec086d7f176b221e21fa0a08ffc35df4f8021eb4f3fbaf886","schema_version":"1.0","event_id":"sha256:a658556a13fa592ec086d7f176b221e21fa0a08ffc35df4f8021eb4f3fbaf886"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:PI5R6NGW6UIMZ253OFUBPHXJMW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The geomagnetic/magneto-telluric induction problem with spatial conductivity fluctuations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.geo-ph"],"primary_cat":"physics.space-ph","authors_text":"R. A. Treumann, W. Baumjohann","submitted_at":"2017-01-25T11:38:12Z","abstract_excerpt":"The electromagnetic induction equation (Helmholtz equation) for the electrically conducting Earth is generalised to the inclusion of a spatially fluctuating internal conductivity spectrum that is superimposed on a one-dimensional large-scale conductivity reference-profile which depends solely on the vertical coordinate z>0. This large-scale profile is assumed to be known. The distribution of the fluctuations is allowed to be arbitrary. The conductivity-fluctuation generalised Helmholtz equation depends on the spectral density of the fluctuations as function of the vertical and horizontal coord"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07272","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":"2026-05-18T00:52:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a/oS3HImpAGa8nKx/vxE4g9IYBSsKbRyRxHll4v6AxMF4a9gb93Wh2F1lS5mgF2sd8xNEpE1Xl6gZuuzcor7BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T06:19:19.264630Z"},"content_sha256":"e99672a3912660c107dfb17dc5f855c9416a0af811466cc8ba102c65e84dc2f5","schema_version":"1.0","event_id":"sha256:e99672a3912660c107dfb17dc5f855c9416a0af811466cc8ba102c65e84dc2f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PI5R6NGW6UIMZ253OFUBPHXJMW/bundle.json","state_url":"https://pith.science/pith/PI5R6NGW6UIMZ253OFUBPHXJMW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PI5R6NGW6UIMZ253OFUBPHXJMW/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":"2026-06-25T06:19:19Z","links":{"resolver":"https://pith.science/pith/PI5R6NGW6UIMZ253OFUBPHXJMW","bundle":"https://pith.science/pith/PI5R6NGW6UIMZ253OFUBPHXJMW/bundle.json","state":"https://pith.science/pith/PI5R6NGW6UIMZ253OFUBPHXJMW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PI5R6NGW6UIMZ253OFUBPHXJMW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PI5R6NGW6UIMZ253OFUBPHXJMW","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":"5fa9ba6356bab5e264c0d9ba7ee04c25b6c634a6d2b8706c2171ca0fe5c81b1d","cross_cats_sorted":["physics.geo-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.space-ph","submitted_at":"2017-01-25T11:38:12Z","title_canon_sha256":"99f75bc80221627347e6d808b3b005516e78135a0d5a22af3f3ad82b06a7bd1c"},"schema_version":"1.0","source":{"id":"1701.07272","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07272","created_at":"2026-05-18T00:52:05Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07272v1","created_at":"2026-05-18T00:52:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07272","created_at":"2026-05-18T00:52:05Z"},{"alias_kind":"pith_short_12","alias_value":"PI5R6NGW6UIM","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PI5R6NGW6UIMZ253","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PI5R6NGW","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:e99672a3912660c107dfb17dc5f855c9416a0af811466cc8ba102c65e84dc2f5","target":"graph","created_at":"2026-05-18T00:52:05Z","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 electromagnetic induction equation (Helmholtz equation) for the electrically conducting Earth is generalised to the inclusion of a spatially fluctuating internal conductivity spectrum that is superimposed on a one-dimensional large-scale conductivity reference-profile which depends solely on the vertical coordinate z>0. This large-scale profile is assumed to be known. The distribution of the fluctuations is allowed to be arbitrary. The conductivity-fluctuation generalised Helmholtz equation depends on the spectral density of the fluctuations as function of the vertical and horizontal coord","authors_text":"R. A. Treumann, W. Baumjohann","cross_cats":["physics.geo-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.space-ph","submitted_at":"2017-01-25T11:38:12Z","title":"The geomagnetic/magneto-telluric induction problem with spatial conductivity fluctuations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07272","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:a658556a13fa592ec086d7f176b221e21fa0a08ffc35df4f8021eb4f3fbaf886","target":"record","created_at":"2026-05-18T00:52:05Z","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":"5fa9ba6356bab5e264c0d9ba7ee04c25b6c634a6d2b8706c2171ca0fe5c81b1d","cross_cats_sorted":["physics.geo-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.space-ph","submitted_at":"2017-01-25T11:38:12Z","title_canon_sha256":"99f75bc80221627347e6d808b3b005516e78135a0d5a22af3f3ad82b06a7bd1c"},"schema_version":"1.0","source":{"id":"1701.07272","kind":"arxiv","version":1}},"canonical_sha256":"7a3b1f34d6f510ccebbb7168179ee965a926177ed25ff6973212bfb0c0ca0bf1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a3b1f34d6f510ccebbb7168179ee965a926177ed25ff6973212bfb0c0ca0bf1","first_computed_at":"2026-05-18T00:52:05.103154Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:05.103154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qYG+TcZEcriLG3fDkXrfIgs06Zmb52IuzOsX00PSatIpAiEnFuO+NErrb334ormGyNrP5Hd553WqBwLtsLKDDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:05.103623Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.07272","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a658556a13fa592ec086d7f176b221e21fa0a08ffc35df4f8021eb4f3fbaf886","sha256:e99672a3912660c107dfb17dc5f855c9416a0af811466cc8ba102c65e84dc2f5"],"state_sha256":"47958cbf156d8e3b400d33805b559acd1d3e7913f2ba8bf4b6136b9582d1f062"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"idxWyimROlJEiRG7An3pk3vWTgz6KQxacuJeN9x8/VuHkfSSHu91KaHV7zDIkWNJsGtwGtLCthPEuPIn1xrkDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T06:19:19.266662Z","bundle_sha256":"379c9329f87048f3d5c5ec9c607503e117fe71512fdc17c07c09949c2ae2c44f"}}