{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LGYFFXMD56XB2ATYSH4C5ZUDTG","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":"eb971a5b3f231645c6434def1fa6bbf1c3d90276e31ea2f7a1cc33c7a220840a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-10T18:14:31Z","title_canon_sha256":"f0841236062966775ab65024f3fabd136048a502d45b3c45b85a6457a99d2808"},"schema_version":"1.0","source":{"id":"2607.09881","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.09881","created_at":"2026-07-14T00:18:41Z"},{"alias_kind":"arxiv_version","alias_value":"2607.09881v1","created_at":"2026-07-14T00:18:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.09881","created_at":"2026-07-14T00:18:41Z"},{"alias_kind":"pith_short_12","alias_value":"LGYFFXMD56XB","created_at":"2026-07-14T00:18:41Z"},{"alias_kind":"pith_short_16","alias_value":"LGYFFXMD56XB2ATY","created_at":"2026-07-14T00:18:41Z"},{"alias_kind":"pith_short_8","alias_value":"LGYFFXMD","created_at":"2026-07-14T00:18:41Z"}],"graph_snapshots":[{"event_id":"sha256:96fc820815f2e91c9dcf265464f05379f9322da2a4bfe9e3dcd50032da2613f8","target":"graph","created_at":"2026-07-14T00:18:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.09881/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Approximate explicit formulas for the hysteresis loops in the Stoner-Wohlfarth model are derived. We consider the hysteresis loops both for a single particle with a fixed easy-axis direction and for an ensemble of particles with randomly oriented anisotropy axes. The physical assumption used to derive the formulas is that the particle magnetic moment lies in the vicinity of the easy axis or the external field direction, at low and high fields, respectively. Surprisingly, the low-field formula is approximately valid even near the Stoner-Wohlfarth astroid, where the reduced magnetic field h0 is ","authors_text":"Koksharov Yury A, Savin Vladimir P.","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-10T18:14:31Z","title":"Approximate explicit formulas for Stoner-Wohlfarth hysteresis loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.09881","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":"sha256:8967555a103a2540e981721201fb0abd1427d075cda481c157e45c49d16f1b2c","target":"record","created_at":"2026-07-14T00:18:41Z","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":"eb971a5b3f231645c6434def1fa6bbf1c3d90276e31ea2f7a1cc33c7a220840a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-10T18:14:31Z","title_canon_sha256":"f0841236062966775ab65024f3fabd136048a502d45b3c45b85a6457a99d2808"},"schema_version":"1.0","source":{"id":"2607.09881","kind":"arxiv","version":1}},"canonical_sha256":"59b052dd83efae1d027891f82ee68399b75179c3742ce427d6bcb64721ea1837","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59b052dd83efae1d027891f82ee68399b75179c3742ce427d6bcb64721ea1837","first_computed_at":"2026-07-14T00:18:41.299067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T00:18:41.299067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CTLcp76Gh67+lc3ScLEjT14EEtijYKElFcdx+56Kxw/l8hbHgjVYa1f5RxsnpJU/lQsRbLp3K7yNKn5w9JDcCA==","signature_status":"signed_v1","signed_at":"2026-07-14T00:18:41.299926Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.09881","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8967555a103a2540e981721201fb0abd1427d075cda481c157e45c49d16f1b2c","sha256:96fc820815f2e91c9dcf265464f05379f9322da2a4bfe9e3dcd50032da2613f8"],"state_sha256":"23a5435edc70ff93962b7aab3f3444720966c5e13fa9d04a864576aea4f856aa"}