{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:UT2UKNEQDTIN5WS3TOD7JH53XE","short_pith_number":"pith:UT2UKNEQ","canonical_record":{"source":{"id":"1105.1352","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-05-06T18:45:50Z","cross_cats_sorted":[],"title_canon_sha256":"554002874d76515577f2707d0b9c36d3f38b08b0248dcc57be17abec4738b87d","abstract_canon_sha256":"e35597db5f518b6f0e2e2f506e79e3a6979802a8f657dd23de935bf3ff4de909"},"schema_version":"1.0"},"canonical_sha256":"a4f54534901cd0deda5b9b87f49fbbb927514c1de159605fc6d649486fef287f","source":{"kind":"arxiv","id":"1105.1352","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.1352","created_at":"2026-05-18T03:23:34Z"},{"alias_kind":"arxiv_version","alias_value":"1105.1352v2","created_at":"2026-05-18T03:23:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.1352","created_at":"2026-05-18T03:23:34Z"},{"alias_kind":"pith_short_12","alias_value":"UT2UKNEQDTIN","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UT2UKNEQDTIN5WS3","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UT2UKNEQ","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:UT2UKNEQDTIN5WS3TOD7JH53XE","target":"record","payload":{"canonical_record":{"source":{"id":"1105.1352","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-05-06T18:45:50Z","cross_cats_sorted":[],"title_canon_sha256":"554002874d76515577f2707d0b9c36d3f38b08b0248dcc57be17abec4738b87d","abstract_canon_sha256":"e35597db5f518b6f0e2e2f506e79e3a6979802a8f657dd23de935bf3ff4de909"},"schema_version":"1.0"},"canonical_sha256":"a4f54534901cd0deda5b9b87f49fbbb927514c1de159605fc6d649486fef287f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:34.348338Z","signature_b64":"7bZpZ9Ipm8K4tYnCltJksDUFhUC28zPVbMBO4JNm1f/FsF1fyiAKYuXIaz1IMHAK/R+NgDhE3W+9UTbl44u0Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4f54534901cd0deda5b9b87f49fbbb927514c1de159605fc6d649486fef287f","last_reissued_at":"2026-05-18T03:23:34.347748Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:34.347748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.1352","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:23:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fMpKVtfK4uwEf8j6yo99Lr+JLOagv2zpygkhmZY8Gz9lWhp3mQCsbGTZBNIIJxOhNmd7nY2ek/ffhwdaK0H/BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:33:35.561729Z"},"content_sha256":"990a0b7388cd40363a7bb0e06a23346bdd141b9428b6f169991744880a421832","schema_version":"1.0","event_id":"sha256:990a0b7388cd40363a7bb0e06a23346bdd141b9428b6f169991744880a421832"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:UT2UKNEQDTIN5WS3TOD7JH53XE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Study of the de Almeida-Thouless line using one-dimensional power-law diluted Heisenberg Spin Glasses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"A. P. Young, Auditya Sharma","submitted_at":"2011-05-06T18:45:50Z","abstract_excerpt":"We test for the presence or absence of the de Almeida-Thouless line using one-dimensional power-law diluted Heisenberg spin glass model, in which the rms strength of the interactions decays with distance, r as 1/r^{sigma}. It is argued that varying the power sigma is analogous to varying the space dimension d in a short-range model. For sigma=0.6, which is in the mean field regime regime, we find clear evidence for an AT line. For sigma = 0.85, which is in the non-mean-field regime and corresponds to a space dimension of close to 3, we find no AT line, though we cannot rule one out for very sm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1352","kind":"arxiv","version":2},"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":"2026-05-18T03:23:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NlokOuJ2o/dMz6be1yr9iHFArY2YdlIhWLWlNfdxMauRAqMAHcMtzzhglkOKnekoD/qoMp2ezoJtmQWkmtFjDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:33:35.562194Z"},"content_sha256":"38ff4a5ec0b59bc976baad580907efaaa2fa90f74148d47c9daab31b056c6078","schema_version":"1.0","event_id":"sha256:38ff4a5ec0b59bc976baad580907efaaa2fa90f74148d47c9daab31b056c6078"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UT2UKNEQDTIN5WS3TOD7JH53XE/bundle.json","state_url":"https://pith.science/pith/UT2UKNEQDTIN5WS3TOD7JH53XE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UT2UKNEQDTIN5WS3TOD7JH53XE/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":"2026-06-04T23:33:35Z","links":{"resolver":"https://pith.science/pith/UT2UKNEQDTIN5WS3TOD7JH53XE","bundle":"https://pith.science/pith/UT2UKNEQDTIN5WS3TOD7JH53XE/bundle.json","state":"https://pith.science/pith/UT2UKNEQDTIN5WS3TOD7JH53XE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UT2UKNEQDTIN5WS3TOD7JH53XE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UT2UKNEQDTIN5WS3TOD7JH53XE","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":"e35597db5f518b6f0e2e2f506e79e3a6979802a8f657dd23de935bf3ff4de909","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-05-06T18:45:50Z","title_canon_sha256":"554002874d76515577f2707d0b9c36d3f38b08b0248dcc57be17abec4738b87d"},"schema_version":"1.0","source":{"id":"1105.1352","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.1352","created_at":"2026-05-18T03:23:34Z"},{"alias_kind":"arxiv_version","alias_value":"1105.1352v2","created_at":"2026-05-18T03:23:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.1352","created_at":"2026-05-18T03:23:34Z"},{"alias_kind":"pith_short_12","alias_value":"UT2UKNEQDTIN","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UT2UKNEQDTIN5WS3","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UT2UKNEQ","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:38ff4a5ec0b59bc976baad580907efaaa2fa90f74148d47c9daab31b056c6078","target":"graph","created_at":"2026-05-18T03:23:34Z","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 test for the presence or absence of the de Almeida-Thouless line using one-dimensional power-law diluted Heisenberg spin glass model, in which the rms strength of the interactions decays with distance, r as 1/r^{sigma}. It is argued that varying the power sigma is analogous to varying the space dimension d in a short-range model. For sigma=0.6, which is in the mean field regime regime, we find clear evidence for an AT line. For sigma = 0.85, which is in the non-mean-field regime and corresponds to a space dimension of close to 3, we find no AT line, though we cannot rule one out for very sm","authors_text":"A. P. Young, Auditya Sharma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-05-06T18:45:50Z","title":"Study of the de Almeida-Thouless line using one-dimensional power-law diluted Heisenberg Spin Glasses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1352","kind":"arxiv","version":2},"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":"sha256:990a0b7388cd40363a7bb0e06a23346bdd141b9428b6f169991744880a421832","target":"record","created_at":"2026-05-18T03:23:34Z","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":"e35597db5f518b6f0e2e2f506e79e3a6979802a8f657dd23de935bf3ff4de909","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-05-06T18:45:50Z","title_canon_sha256":"554002874d76515577f2707d0b9c36d3f38b08b0248dcc57be17abec4738b87d"},"schema_version":"1.0","source":{"id":"1105.1352","kind":"arxiv","version":2}},"canonical_sha256":"a4f54534901cd0deda5b9b87f49fbbb927514c1de159605fc6d649486fef287f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4f54534901cd0deda5b9b87f49fbbb927514c1de159605fc6d649486fef287f","first_computed_at":"2026-05-18T03:23:34.347748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:34.347748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7bZpZ9Ipm8K4tYnCltJksDUFhUC28zPVbMBO4JNm1f/FsF1fyiAKYuXIaz1IMHAK/R+NgDhE3W+9UTbl44u0Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:34.348338Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.1352","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:990a0b7388cd40363a7bb0e06a23346bdd141b9428b6f169991744880a421832","sha256:38ff4a5ec0b59bc976baad580907efaaa2fa90f74148d47c9daab31b056c6078"],"state_sha256":"3619eb3e93348491cd6127821b3f0db6086e8a838df93814500b896934dfad8a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6yxO3Cjj9oxbtdYc/N2dKm20ZDmQVXn8T9QmYR6t4DtyQpl94r4yoTHYrg2g6vRJ5uTx9r9m/XNs6ytSu8VTBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T23:33:35.564227Z","bundle_sha256":"14fef8c6f89d17854219f5536c59d3ca5cdea8d7cc86bf3d374be267a6355a28"}}