{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:SVROZQGBHPUJM4PI4TQ4YIIZER","short_pith_number":"pith:SVROZQGB","canonical_record":{"source":{"id":"cond-mat/0112284","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2001-12-15T07:36:29Z","cross_cats_sorted":[],"title_canon_sha256":"bf34c56fdb6e6ae0631af55f3e34ee37b80a4e076bad818ae637dfee2327eb0d","abstract_canon_sha256":"526d38922ae2ae6dd6981907c4d56f8cb41fb69c0d8b1477dbbc862a52938871"},"schema_version":"1.0"},"canonical_sha256":"9562ecc0c13be89671e8e4e1cc211924661e9795aa1f8203209dd0c6ed34fadd","source":{"kind":"arxiv","id":"cond-mat/0112284","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0112284","created_at":"2026-05-18T01:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0112284v1","created_at":"2026-05-18T01:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0112284","created_at":"2026-05-18T01:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"SVROZQGBHPUJ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"SVROZQGBHPUJM4PI","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"SVROZQGB","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:SVROZQGBHPUJM4PI4TQ4YIIZER","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0112284","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2001-12-15T07:36:29Z","cross_cats_sorted":[],"title_canon_sha256":"bf34c56fdb6e6ae0631af55f3e34ee37b80a4e076bad818ae637dfee2327eb0d","abstract_canon_sha256":"526d38922ae2ae6dd6981907c4d56f8cb41fb69c0d8b1477dbbc862a52938871"},"schema_version":"1.0"},"canonical_sha256":"9562ecc0c13be89671e8e4e1cc211924661e9795aa1f8203209dd0c6ed34fadd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:08.464553Z","signature_b64":"BGIbfFwTBbG1UV3RJ7y98AvAQy5H7GL3sJz+6V8tW1pXbxDpGsyjEDUyyMO+1p8QFjzkZ7sr90xgLaYcZ5ovBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9562ecc0c13be89671e8e4e1cc211924661e9795aa1f8203209dd0c6ed34fadd","last_reissued_at":"2026-05-18T01:09:08.464149Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:08.464149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0112284","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":"2026-05-18T01:09:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gCr6VNu4yLb5VI/8JzIed2Icflesy5fQeSxIsqd99itBM8foFTfKP5nxZS9KBI+jb23JW+j69wS9KZCSQcWTAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:30:02.970562Z"},"content_sha256":"5dd51092c430be18a4b05e42a04492bcf7fcdb03edcbad185ae1a602c4895895","schema_version":"1.0","event_id":"sha256:5dd51092c430be18a4b05e42a04492bcf7fcdb03edcbad185ae1a602c4895895"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:SVROZQGBHPUJM4PI4TQ4YIIZER","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vector magnetic hysteresis of hard superconductors","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"A. Bad\\'ia, C. L\\'opez","submitted_at":"2001-12-15T07:36:29Z","abstract_excerpt":"Critical state problems which incorporate more than one component for the magnetization vector of hard superconductors are investigated. The theory is based on the minimization of a cost functional ${\\cal C}[\\vec{H}(\\vec{x})]$ which weighs the changes of the magnetic field vector within the sample. We show that Bean's simplest prescription of choosing the correct sign for the critical current density $J_c$ in one dimensional problems is just a particular case of finding the components of the vector $\\vec{J}_c$. $\\vec{J}_c$ is determined by minimizing ${\\cal C}$ under the constraint $\\vec{J}\\in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0112284","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":"2026-05-18T01:09:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lZ8LTEYmEeNN8EkSXYnj4Q2iSeBo0yKog5iLxhBBzMP7BO74wViuhSlnIUcEfrp/H3CahZKAgfkyrONaWLI9AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:30:02.970912Z"},"content_sha256":"4b6a1e26cbfa62a03984f277a303eadd20675a9272cdbffd98d8b19de949cf47","schema_version":"1.0","event_id":"sha256:4b6a1e26cbfa62a03984f277a303eadd20675a9272cdbffd98d8b19de949cf47"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SVROZQGBHPUJM4PI4TQ4YIIZER/bundle.json","state_url":"https://pith.science/pith/SVROZQGBHPUJM4PI4TQ4YIIZER/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SVROZQGBHPUJM4PI4TQ4YIIZER/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":"2026-06-04T19:30:02Z","links":{"resolver":"https://pith.science/pith/SVROZQGBHPUJM4PI4TQ4YIIZER","bundle":"https://pith.science/pith/SVROZQGBHPUJM4PI4TQ4YIIZER/bundle.json","state":"https://pith.science/pith/SVROZQGBHPUJM4PI4TQ4YIIZER/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SVROZQGBHPUJM4PI4TQ4YIIZER/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:SVROZQGBHPUJM4PI4TQ4YIIZER","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":"526d38922ae2ae6dd6981907c4d56f8cb41fb69c0d8b1477dbbc862a52938871","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2001-12-15T07:36:29Z","title_canon_sha256":"bf34c56fdb6e6ae0631af55f3e34ee37b80a4e076bad818ae637dfee2327eb0d"},"schema_version":"1.0","source":{"id":"cond-mat/0112284","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0112284","created_at":"2026-05-18T01:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0112284v1","created_at":"2026-05-18T01:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0112284","created_at":"2026-05-18T01:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"SVROZQGBHPUJ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"SVROZQGBHPUJM4PI","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"SVROZQGB","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:4b6a1e26cbfa62a03984f277a303eadd20675a9272cdbffd98d8b19de949cf47","target":"graph","created_at":"2026-05-18T01:09:08Z","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":"Critical state problems which incorporate more than one component for the magnetization vector of hard superconductors are investigated. The theory is based on the minimization of a cost functional ${\\cal C}[\\vec{H}(\\vec{x})]$ which weighs the changes of the magnetic field vector within the sample. We show that Bean's simplest prescription of choosing the correct sign for the critical current density $J_c$ in one dimensional problems is just a particular case of finding the components of the vector $\\vec{J}_c$. $\\vec{J}_c$ is determined by minimizing ${\\cal C}$ under the constraint $\\vec{J}\\in","authors_text":"A. Bad\\'ia, C. L\\'opez","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2001-12-15T07:36:29Z","title":"Vector magnetic hysteresis of hard superconductors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0112284","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":"sha256:5dd51092c430be18a4b05e42a04492bcf7fcdb03edcbad185ae1a602c4895895","target":"record","created_at":"2026-05-18T01:09:08Z","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":"526d38922ae2ae6dd6981907c4d56f8cb41fb69c0d8b1477dbbc862a52938871","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2001-12-15T07:36:29Z","title_canon_sha256":"bf34c56fdb6e6ae0631af55f3e34ee37b80a4e076bad818ae637dfee2327eb0d"},"schema_version":"1.0","source":{"id":"cond-mat/0112284","kind":"arxiv","version":1}},"canonical_sha256":"9562ecc0c13be89671e8e4e1cc211924661e9795aa1f8203209dd0c6ed34fadd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9562ecc0c13be89671e8e4e1cc211924661e9795aa1f8203209dd0c6ed34fadd","first_computed_at":"2026-05-18T01:09:08.464149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:08.464149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BGIbfFwTBbG1UV3RJ7y98AvAQy5H7GL3sJz+6V8tW1pXbxDpGsyjEDUyyMO+1p8QFjzkZ7sr90xgLaYcZ5ovBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:08.464553Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0112284","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5dd51092c430be18a4b05e42a04492bcf7fcdb03edcbad185ae1a602c4895895","sha256:4b6a1e26cbfa62a03984f277a303eadd20675a9272cdbffd98d8b19de949cf47"],"state_sha256":"9b79aeeb43430fd59dcf63d744c1e08d69f8916e9ae373a8b47c7c602bf556ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0ML6ZBRPnZXPYz5LLQGVy1iTnNmQfsXp1t+kfP6pZZThI4h28O6XWW86mE+7HqIJqK69lWO/9wg2Eu0awCftBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T19:30:02.972964Z","bundle_sha256":"e43fbe76e7a3ec3d811db590f10c818e9dbbd9b87330fff8056ea2903d570867"}}