{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:HBPABCFKGH3UL7E5ZKGPVJVQOZ","short_pith_number":"pith:HBPABCFK","canonical_record":{"source":{"id":"1010.4537","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-21T17:47:01Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"227a17b7455aba031b251bf6e483cbde5639d62abdbcc1faa5f8da2849964eaf","abstract_canon_sha256":"cd09b26c8016e39c95e25427c98892ddfe257ff6cf6c7b395be8e64cc5509260"},"schema_version":"1.0"},"canonical_sha256":"385e0088aa31f745fc9dca8cfaa6b0766310a2468e482f4c1af782b3706adbf6","source":{"kind":"arxiv","id":"1010.4537","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4537","created_at":"2026-05-18T04:38:58Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4537v1","created_at":"2026-05-18T04:38:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4537","created_at":"2026-05-18T04:38:58Z"},{"alias_kind":"pith_short_12","alias_value":"HBPABCFKGH3U","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HBPABCFKGH3UL7E5","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HBPABCFK","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:HBPABCFKGH3UL7E5ZKGPVJVQOZ","target":"record","payload":{"canonical_record":{"source":{"id":"1010.4537","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-21T17:47:01Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"227a17b7455aba031b251bf6e483cbde5639d62abdbcc1faa5f8da2849964eaf","abstract_canon_sha256":"cd09b26c8016e39c95e25427c98892ddfe257ff6cf6c7b395be8e64cc5509260"},"schema_version":"1.0"},"canonical_sha256":"385e0088aa31f745fc9dca8cfaa6b0766310a2468e482f4c1af782b3706adbf6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:58.479520Z","signature_b64":"Mu/kqnybimD9fZb/6s9okkUWNttoxSoEZLDZDaeWhbc0WItDmcYyHMqP8FJ27mIq2xsN2iVDB4Dg4Y2J/AN3BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"385e0088aa31f745fc9dca8cfaa6b0766310a2468e482f4c1af782b3706adbf6","last_reissued_at":"2026-05-18T04:38:58.479081Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:58.479081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.4537","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":"2026-05-18T04:38:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ozM5ofkaI4bzI8qunoBhjNQo1R6X2+zkDIM9imYnZtlKEDS6Vztpv2bTErmFkURp8/vs53xZDYfUubxOvquzBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:13:49.384903Z"},"content_sha256":"fcbcf674fbeef16fd0ef19109aa23509eb726ca5abb77b71ee055e4047261ffb","schema_version":"1.0","event_id":"sha256:fcbcf674fbeef16fd0ef19109aa23509eb726ca5abb77b71ee055e4047261ffb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:HBPABCFKGH3UL7E5ZKGPVJVQOZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase transition in ultrathin magnetic films with long-range interactions: Monte Carlo simulation of the anisotropic Heisenberg model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"B. V. Costa, M. Rapini, R. A. Dias","submitted_at":"2010-10-21T17:47:01Z","abstract_excerpt":"Ultrathin magnetic films can be modeled as an anisotropic Heisenberg model with long-range dipolar interactions. It is believed that the phase diagram presents three phases: An ordered ferromagnetic phase I, a phase characterized by a change from out-of-plane to in-plane in the magnetization II, and a high-temperature paramagnetic phase III. It is claimed that the border lines from phase I to III and II to III are of second order and from I to II is first order. In the present work we have performed a very careful Monte Carlo simulation of the model. Our results strongly support that the line "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4537","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":"2026-05-18T04:38:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8tYPLPoQQQpmmAP03Nn2FxobfV9x7LSiQ3WOUCaN0vYwD20itOoAYKTL7t53Oee9/FqV51BLHZnzgqNBkHdrBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:13:49.385556Z"},"content_sha256":"858a87f8357c41797bd958c1f46a7e0d11757add237127a8d0ae16a1a9845d1f","schema_version":"1.0","event_id":"sha256:858a87f8357c41797bd958c1f46a7e0d11757add237127a8d0ae16a1a9845d1f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HBPABCFKGH3UL7E5ZKGPVJVQOZ/bundle.json","state_url":"https://pith.science/pith/HBPABCFKGH3UL7E5ZKGPVJVQOZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HBPABCFKGH3UL7E5ZKGPVJVQOZ/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":"2026-05-27T21:13:49Z","links":{"resolver":"https://pith.science/pith/HBPABCFKGH3UL7E5ZKGPVJVQOZ","bundle":"https://pith.science/pith/HBPABCFKGH3UL7E5ZKGPVJVQOZ/bundle.json","state":"https://pith.science/pith/HBPABCFKGH3UL7E5ZKGPVJVQOZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HBPABCFKGH3UL7E5ZKGPVJVQOZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HBPABCFKGH3UL7E5ZKGPVJVQOZ","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":"cd09b26c8016e39c95e25427c98892ddfe257ff6cf6c7b395be8e64cc5509260","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-21T17:47:01Z","title_canon_sha256":"227a17b7455aba031b251bf6e483cbde5639d62abdbcc1faa5f8da2849964eaf"},"schema_version":"1.0","source":{"id":"1010.4537","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4537","created_at":"2026-05-18T04:38:58Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4537v1","created_at":"2026-05-18T04:38:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4537","created_at":"2026-05-18T04:38:58Z"},{"alias_kind":"pith_short_12","alias_value":"HBPABCFKGH3U","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HBPABCFKGH3UL7E5","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HBPABCFK","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:858a87f8357c41797bd958c1f46a7e0d11757add237127a8d0ae16a1a9845d1f","target":"graph","created_at":"2026-05-18T04:38:58Z","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":"Ultrathin magnetic films can be modeled as an anisotropic Heisenberg model with long-range dipolar interactions. It is believed that the phase diagram presents three phases: An ordered ferromagnetic phase I, a phase characterized by a change from out-of-plane to in-plane in the magnetization II, and a high-temperature paramagnetic phase III. It is claimed that the border lines from phase I to III and II to III are of second order and from I to II is first order. In the present work we have performed a very careful Monte Carlo simulation of the model. Our results strongly support that the line ","authors_text":"B. V. Costa, M. Rapini, R. A. Dias","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-21T17:47:01Z","title":"Phase transition in ultrathin magnetic films with long-range interactions: Monte Carlo simulation of the anisotropic Heisenberg model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4537","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:fcbcf674fbeef16fd0ef19109aa23509eb726ca5abb77b71ee055e4047261ffb","target":"record","created_at":"2026-05-18T04:38:58Z","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":"cd09b26c8016e39c95e25427c98892ddfe257ff6cf6c7b395be8e64cc5509260","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-21T17:47:01Z","title_canon_sha256":"227a17b7455aba031b251bf6e483cbde5639d62abdbcc1faa5f8da2849964eaf"},"schema_version":"1.0","source":{"id":"1010.4537","kind":"arxiv","version":1}},"canonical_sha256":"385e0088aa31f745fc9dca8cfaa6b0766310a2468e482f4c1af782b3706adbf6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"385e0088aa31f745fc9dca8cfaa6b0766310a2468e482f4c1af782b3706adbf6","first_computed_at":"2026-05-18T04:38:58.479081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:58.479081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mu/kqnybimD9fZb/6s9okkUWNttoxSoEZLDZDaeWhbc0WItDmcYyHMqP8FJ27mIq2xsN2iVDB4Dg4Y2J/AN3BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:58.479520Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.4537","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcbcf674fbeef16fd0ef19109aa23509eb726ca5abb77b71ee055e4047261ffb","sha256:858a87f8357c41797bd958c1f46a7e0d11757add237127a8d0ae16a1a9845d1f"],"state_sha256":"121171a45c9ad76459f162e39cf34f0f36cc9f8d9a5ade37978a37daa6c4d531"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WBV+MWD32yWGs7rlATxsNxHHGr8LNI7ufD6tJzD4gzNPq5XB/OhSwAOsZjDiYz238ahYBICxm4jv68nBZhrbDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:13:49.388755Z","bundle_sha256":"292df204ad6a6d5165f3c14a3465b6b9c3eeed03943d699c051183f9b9b87513"}}