{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:CIHX32KIGKLVUE44U4OIFPZQL6","short_pith_number":"pith:CIHX32KI","canonical_record":{"source":{"id":"0901.2707","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-18T15:05:33Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"570e61018ea258ab602985e8aa5a01c82635cb1812dedb4ade0037dbd6e53e68","abstract_canon_sha256":"535d32b73d70a871733078e73ba14670f2d857e1422c9522158e7361d116206a"},"schema_version":"1.0"},"canonical_sha256":"120f7de94832975a139ca71c82bf305fa62b94af8244e2493b6b367cd8cca5c8","source":{"kind":"arxiv","id":"0901.2707","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.2707","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"arxiv_version","alias_value":"0901.2707v1","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.2707","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"pith_short_12","alias_value":"CIHX32KIGKLV","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"CIHX32KIGKLVUE44","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"CIHX32KI","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:CIHX32KIGKLVUE44U4OIFPZQL6","target":"record","payload":{"canonical_record":{"source":{"id":"0901.2707","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-18T15:05:33Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"570e61018ea258ab602985e8aa5a01c82635cb1812dedb4ade0037dbd6e53e68","abstract_canon_sha256":"535d32b73d70a871733078e73ba14670f2d857e1422c9522158e7361d116206a"},"schema_version":"1.0"},"canonical_sha256":"120f7de94832975a139ca71c82bf305fa62b94af8244e2493b6b367cd8cca5c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:56.949324Z","signature_b64":"WA/4N5rMCjxuzVWTtVSVayJBthB9RHLZK006oJWj2c3efYDi1Tt/f8MfxQ43DjKVSJ2P8qjlxkbXQvWctJIdDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"120f7de94832975a139ca71c82bf305fa62b94af8244e2493b6b367cd8cca5c8","last_reissued_at":"2026-05-18T02:14:56.948700Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:56.948700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.2707","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":"2026-05-18T02:14:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U8i6aMBL6T5lpGmwpYKst6t9n+RRtxMfLZ9w46iFoemdMcg/fLkbizBlogIuDYUP7NnHCWxOcOP6XEuRRfikBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:31:07.746226Z"},"content_sha256":"c31e3f882bce681f6f95e4e067084a4b37fccee2127dd836bbcf1682106887ec","schema_version":"1.0","event_id":"sha256:c31e3f882bce681f6f95e4e067084a4b37fccee2127dd836bbcf1682106887ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:CIHX32KIGKLVUE44U4OIFPZQL6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stable topological textures in a classical 2D Heisenberg model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.stat-mech","authors_text":"B. A. Ivanov, E. G. Galkina, E. V. Kirichenko, V. A. Stephanovich","submitted_at":"2009-01-18T15:05:33Z","abstract_excerpt":"We show that stable localized topological soliton textures (skyrmions) with $\\pi_2$ topological charge $\\nu \\geq 1$ exist in a classical 2D Heisenberg model of a ferromagnet with uniaxial anisotropy. For this model the soliton exist only if the number of bound magnons exceeds some threshold value $N_{\\rm cr}$ depending on $\\nu $ and the effective anisotropy constant $K_{\\rm eff}$. We define soliton phase diagram as the dependence of threshold energies and bound magnons number on anisotropy constant. The phase boundary lines are monotonous for both $\\nu=1$ and $\\nu >2$, while the solitons with "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.2707","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":"2026-05-18T02:14:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KKSt+X1MtV8YombKhrmdcuE2z07EGetdSg6Zg+tMVS9oVb23Jcvwr7jbQuGm7e7Z8GOWyyncrOqTryNY4GOfCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:31:07.746593Z"},"content_sha256":"8f990d6c3d0726e915b36bad0bd371dccd473126e266f41917587a749ff904a4","schema_version":"1.0","event_id":"sha256:8f990d6c3d0726e915b36bad0bd371dccd473126e266f41917587a749ff904a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CIHX32KIGKLVUE44U4OIFPZQL6/bundle.json","state_url":"https://pith.science/pith/CIHX32KIGKLVUE44U4OIFPZQL6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CIHX32KIGKLVUE44U4OIFPZQL6/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":"2026-05-29T17:31:07Z","links":{"resolver":"https://pith.science/pith/CIHX32KIGKLVUE44U4OIFPZQL6","bundle":"https://pith.science/pith/CIHX32KIGKLVUE44U4OIFPZQL6/bundle.json","state":"https://pith.science/pith/CIHX32KIGKLVUE44U4OIFPZQL6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CIHX32KIGKLVUE44U4OIFPZQL6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:CIHX32KIGKLVUE44U4OIFPZQL6","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":"535d32b73d70a871733078e73ba14670f2d857e1422c9522158e7361d116206a","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-18T15:05:33Z","title_canon_sha256":"570e61018ea258ab602985e8aa5a01c82635cb1812dedb4ade0037dbd6e53e68"},"schema_version":"1.0","source":{"id":"0901.2707","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.2707","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"arxiv_version","alias_value":"0901.2707v1","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.2707","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"pith_short_12","alias_value":"CIHX32KIGKLV","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"CIHX32KIGKLVUE44","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"CIHX32KI","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:8f990d6c3d0726e915b36bad0bd371dccd473126e266f41917587a749ff904a4","target":"graph","created_at":"2026-05-18T02:14:56Z","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":"We show that stable localized topological soliton textures (skyrmions) with $\\pi_2$ topological charge $\\nu \\geq 1$ exist in a classical 2D Heisenberg model of a ferromagnet with uniaxial anisotropy. For this model the soliton exist only if the number of bound magnons exceeds some threshold value $N_{\\rm cr}$ depending on $\\nu $ and the effective anisotropy constant $K_{\\rm eff}$. We define soliton phase diagram as the dependence of threshold energies and bound magnons number on anisotropy constant. The phase boundary lines are monotonous for both $\\nu=1$ and $\\nu >2$, while the solitons with ","authors_text":"B. A. Ivanov, E. G. Galkina, E. V. Kirichenko, V. A. Stephanovich","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-18T15:05:33Z","title":"Stable topological textures in a classical 2D Heisenberg model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.2707","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:c31e3f882bce681f6f95e4e067084a4b37fccee2127dd836bbcf1682106887ec","target":"record","created_at":"2026-05-18T02:14:56Z","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":"535d32b73d70a871733078e73ba14670f2d857e1422c9522158e7361d116206a","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-18T15:05:33Z","title_canon_sha256":"570e61018ea258ab602985e8aa5a01c82635cb1812dedb4ade0037dbd6e53e68"},"schema_version":"1.0","source":{"id":"0901.2707","kind":"arxiv","version":1}},"canonical_sha256":"120f7de94832975a139ca71c82bf305fa62b94af8244e2493b6b367cd8cca5c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"120f7de94832975a139ca71c82bf305fa62b94af8244e2493b6b367cd8cca5c8","first_computed_at":"2026-05-18T02:14:56.948700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:56.948700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WA/4N5rMCjxuzVWTtVSVayJBthB9RHLZK006oJWj2c3efYDi1Tt/f8MfxQ43DjKVSJ2P8qjlxkbXQvWctJIdDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:56.949324Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.2707","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c31e3f882bce681f6f95e4e067084a4b37fccee2127dd836bbcf1682106887ec","sha256:8f990d6c3d0726e915b36bad0bd371dccd473126e266f41917587a749ff904a4"],"state_sha256":"741cdaaf8cdd073ccde7027bcd1843e49445ce9a8e470f7c36f39175e9c54639"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QcTVYZ92EhhchCro1tmGTX57mMRE5orFwDhow40pXgz9/usgyanJ1t6TbScHyFP+7Vq0/b/EfciqSm4LLwWiDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T17:31:07.748554Z","bundle_sha256":"07b52d2c6b40f027433ba6c05d28243e311478edac10258874e06f9d442498f9"}}