{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:TR3K4UO2ZE7SA46K2Y2ZHK7LPC","short_pith_number":"pith:TR3K4UO2","canonical_record":{"source":{"id":"1702.06841","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-22T15:27:16Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"3bdcb996c31b1994c5553423c072f1df25de17bcf5b5ee2dd63a795b5b4016ff","abstract_canon_sha256":"a268c416a01241d4249b0d9b718a22584b68fa882c1dacbffe4aa8f6f9b4bb46"},"schema_version":"1.0"},"canonical_sha256":"9c76ae51dac93f2073cad63593abeb78845aebb2f1fc10ad850662c1b66d661d","source":{"kind":"arxiv","id":"1702.06841","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.06841","created_at":"2026-05-18T00:19:30Z"},{"alias_kind":"arxiv_version","alias_value":"1702.06841v1","created_at":"2026-05-18T00:19:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06841","created_at":"2026-05-18T00:19:30Z"},{"alias_kind":"pith_short_12","alias_value":"TR3K4UO2ZE7S","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TR3K4UO2ZE7SA46K","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TR3K4UO2","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:TR3K4UO2ZE7SA46K2Y2ZHK7LPC","target":"record","payload":{"canonical_record":{"source":{"id":"1702.06841","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-22T15:27:16Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"3bdcb996c31b1994c5553423c072f1df25de17bcf5b5ee2dd63a795b5b4016ff","abstract_canon_sha256":"a268c416a01241d4249b0d9b718a22584b68fa882c1dacbffe4aa8f6f9b4bb46"},"schema_version":"1.0"},"canonical_sha256":"9c76ae51dac93f2073cad63593abeb78845aebb2f1fc10ad850662c1b66d661d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:30.934725Z","signature_b64":"0D88sjKCO4o1kLb1cGEJUDnNphPoAN8Cs7SoBhsb+OSxVsqNyKcMnd3hIbN6qpdxn7CpqJUrdZkcBGwTf/gDBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c76ae51dac93f2073cad63593abeb78845aebb2f1fc10ad850662c1b66d661d","last_reissued_at":"2026-05-18T00:19:30.934068Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:30.934068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.06841","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":"2026-05-18T00:19:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Vf2MPxNLOFHFEvvVtLuBadhqaCA9RNM22EgV55Ldyn2eNaizzBHE2PMb0TSOo5MAh0wg7QPKflXz+GJUBHMAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:26:04.376896Z"},"content_sha256":"c9a07247cb98654246d65d01c6c86524efe1401027b868863e869c2ae9500954","schema_version":"1.0","event_id":"sha256:c9a07247cb98654246d65d01c6c86524efe1401027b868863e869c2ae9500954"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:TR3K4UO2ZE7SA46K2Y2ZHK7LPC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability and Phase Transition of Skyrmion Crystals Generated by Dzyaloshinskii-Moriya Interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.stat-mech","authors_text":"Aur\\'elien Bailly-Reyre (LPTM), H. T. Diep (LPTM), Sahbi El Hog (LPTM)","submitted_at":"2017-02-22T15:27:16Z","abstract_excerpt":"We generate a crystal of skyrmions in two dimensions using a Heisenberg Hamiltonian including the ferromagnetic interaction J, the Dzyaloshinskii-Moriya interaction D, and an applied magnetic field H. The ground state (GS) is determined by minimizing the interaction energy. We show that the GS is a skyrmion crystal in a region of (D, H). The stability of this skyrmion crystalline phase at finite temperatures is shown by a study of the time-dependence of the order parameter using Monte Carlo simulations. We observe that the relaxation is very slow and follows a stretched exponential law. The sk"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06841","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":"2026-05-18T00:19:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9H7cl2muoMMofIxTWzrcYmNRID5lxhMaJkgmAgsxhkF5f3DMRfVnHhou/aU23X34WcRPK3hOpuSjcD18RTTRBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:26:04.377265Z"},"content_sha256":"1ed4ec604719884f55b52e2b63a9abe916439e19b5d6e2cd0b5e312e68f67136","schema_version":"1.0","event_id":"sha256:1ed4ec604719884f55b52e2b63a9abe916439e19b5d6e2cd0b5e312e68f67136"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TR3K4UO2ZE7SA46K2Y2ZHK7LPC/bundle.json","state_url":"https://pith.science/pith/TR3K4UO2ZE7SA46K2Y2ZHK7LPC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TR3K4UO2ZE7SA46K2Y2ZHK7LPC/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":"2026-05-27T07:26:04Z","links":{"resolver":"https://pith.science/pith/TR3K4UO2ZE7SA46K2Y2ZHK7LPC","bundle":"https://pith.science/pith/TR3K4UO2ZE7SA46K2Y2ZHK7LPC/bundle.json","state":"https://pith.science/pith/TR3K4UO2ZE7SA46K2Y2ZHK7LPC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TR3K4UO2ZE7SA46K2Y2ZHK7LPC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TR3K4UO2ZE7SA46K2Y2ZHK7LPC","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":"a268c416a01241d4249b0d9b718a22584b68fa882c1dacbffe4aa8f6f9b4bb46","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-22T15:27:16Z","title_canon_sha256":"3bdcb996c31b1994c5553423c072f1df25de17bcf5b5ee2dd63a795b5b4016ff"},"schema_version":"1.0","source":{"id":"1702.06841","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.06841","created_at":"2026-05-18T00:19:30Z"},{"alias_kind":"arxiv_version","alias_value":"1702.06841v1","created_at":"2026-05-18T00:19:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06841","created_at":"2026-05-18T00:19:30Z"},{"alias_kind":"pith_short_12","alias_value":"TR3K4UO2ZE7S","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TR3K4UO2ZE7SA46K","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TR3K4UO2","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:1ed4ec604719884f55b52e2b63a9abe916439e19b5d6e2cd0b5e312e68f67136","target":"graph","created_at":"2026-05-18T00:19:30Z","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 generate a crystal of skyrmions in two dimensions using a Heisenberg Hamiltonian including the ferromagnetic interaction J, the Dzyaloshinskii-Moriya interaction D, and an applied magnetic field H. The ground state (GS) is determined by minimizing the interaction energy. We show that the GS is a skyrmion crystal in a region of (D, H). The stability of this skyrmion crystalline phase at finite temperatures is shown by a study of the time-dependence of the order parameter using Monte Carlo simulations. We observe that the relaxation is very slow and follows a stretched exponential law. The sk","authors_text":"Aur\\'elien Bailly-Reyre (LPTM), H. T. Diep (LPTM), Sahbi El Hog (LPTM)","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-22T15:27:16Z","title":"Stability and Phase Transition of Skyrmion Crystals Generated by Dzyaloshinskii-Moriya Interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06841","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:c9a07247cb98654246d65d01c6c86524efe1401027b868863e869c2ae9500954","target":"record","created_at":"2026-05-18T00:19:30Z","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":"a268c416a01241d4249b0d9b718a22584b68fa882c1dacbffe4aa8f6f9b4bb46","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-22T15:27:16Z","title_canon_sha256":"3bdcb996c31b1994c5553423c072f1df25de17bcf5b5ee2dd63a795b5b4016ff"},"schema_version":"1.0","source":{"id":"1702.06841","kind":"arxiv","version":1}},"canonical_sha256":"9c76ae51dac93f2073cad63593abeb78845aebb2f1fc10ad850662c1b66d661d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c76ae51dac93f2073cad63593abeb78845aebb2f1fc10ad850662c1b66d661d","first_computed_at":"2026-05-18T00:19:30.934068Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:30.934068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0D88sjKCO4o1kLb1cGEJUDnNphPoAN8Cs7SoBhsb+OSxVsqNyKcMnd3hIbN6qpdxn7CpqJUrdZkcBGwTf/gDBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:30.934725Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.06841","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9a07247cb98654246d65d01c6c86524efe1401027b868863e869c2ae9500954","sha256:1ed4ec604719884f55b52e2b63a9abe916439e19b5d6e2cd0b5e312e68f67136"],"state_sha256":"bf90f269cc6652d963a4c90b5277fd59cd318a8ef80b41a91b6da7888572a6ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dvk9Q+rhBDpk/+g9zjW2uBCXoBra7BA2rtR7hMljDS1DX172zkIU0gv5r2bajCcbrXlGiSyF7apGtlwyhW4HDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T07:26:04.380680Z","bundle_sha256":"da153a8625bd4eaa32c5597acf843470d81b47492b55f95e038b2bfd43543b3e"}}