{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:CQ2PQANHKWPQ2XAV3AQ7MRTMQG","short_pith_number":"pith:CQ2PQANH","canonical_record":{"source":{"id":"1205.4200","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-05-18T17:11:02Z","cross_cats_sorted":[],"title_canon_sha256":"fa847965e2a70a23b4b25e8a3ce66fd96b34b5a173d536fc6ecb638fed75c753","abstract_canon_sha256":"8051eee1e1e72fba583eaa1260e0ae4ff921e0221eb273222dc31580e600a67a"},"schema_version":"1.0"},"canonical_sha256":"1434f801a7559f0d5c15d821f6466c819bc8dc98f6f2ee43e400136c2a427a09","source":{"kind":"arxiv","id":"1205.4200","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4200","created_at":"2026-05-18T03:41:29Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4200v4","created_at":"2026-05-18T03:41:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4200","created_at":"2026-05-18T03:41:29Z"},{"alias_kind":"pith_short_12","alias_value":"CQ2PQANHKWPQ","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CQ2PQANHKWPQ2XAV","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CQ2PQANH","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:CQ2PQANHKWPQ2XAV3AQ7MRTMQG","target":"record","payload":{"canonical_record":{"source":{"id":"1205.4200","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-05-18T17:11:02Z","cross_cats_sorted":[],"title_canon_sha256":"fa847965e2a70a23b4b25e8a3ce66fd96b34b5a173d536fc6ecb638fed75c753","abstract_canon_sha256":"8051eee1e1e72fba583eaa1260e0ae4ff921e0221eb273222dc31580e600a67a"},"schema_version":"1.0"},"canonical_sha256":"1434f801a7559f0d5c15d821f6466c819bc8dc98f6f2ee43e400136c2a427a09","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:29.249648Z","signature_b64":"mp0+hCsRdInVn3zl8Pya+9nZj6RQEQODk+FL58hcOJWH246/rsNuDYleTqG0rQSTMthp3Z+3W5jIQ7wki5doBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1434f801a7559f0d5c15d821f6466c819bc8dc98f6f2ee43e400136c2a427a09","last_reissued_at":"2026-05-18T03:41:29.248909Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:29.248909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.4200","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:41:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8iDrU2RgIXNZ5X09akEqCcB/YcDH10dYi9fvwpoRd686ose3wPcyYXIJks9rodDFohfVMBCppSqKej9bxmBFBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T05:18:49.526424Z"},"content_sha256":"929c2c6348003f91916abec486dddd0b8959de8297cf011d03bc8da3f9f4af17","schema_version":"1.0","event_id":"sha256:929c2c6348003f91916abec486dddd0b8959de8297cf011d03bc8da3f9f4af17"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:CQ2PQANHKWPQ2XAV3AQ7MRTMQG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ultrametric probe of the spin-glass state in a field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Alexander K. Hartmann, Florent Krzakala, Helmut G. Katzgraber, Thomas Jorg","submitted_at":"2012-05-18T17:11:02Z","abstract_excerpt":"We study the ultrametric structure of phase space of one-dimensional Ising spin glasses with random power-law interaction in an external random field. Although in zero field the model in both the mean-field and non-mean-field universality classes shows an ultrametric signature [Phys. Rev. Lett. 102, 037207 (2009)], when a field is applied ultrametricity seems only present in the mean-field regime. The results for the non-mean field case in an external field agree with data for spin glasses studied within the Migdal-Kadanoff approximation. Our results therefore suggest that the spin-glass state"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4200","kind":"arxiv","version":4},"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":"2026-05-18T03:41:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K9tajRWGQEiHtovuwKdy+imdHo7rAYGVKx5IAOQuvmIfDsKxK2WTn8chtV4mzmYfA3dtoqmt1OsocgF583GzCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T05:18:49.527100Z"},"content_sha256":"7276144154a4fafc670832b713455047ae564b30cef44a261b61a1a65ad9a4a5","schema_version":"1.0","event_id":"sha256:7276144154a4fafc670832b713455047ae564b30cef44a261b61a1a65ad9a4a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CQ2PQANHKWPQ2XAV3AQ7MRTMQG/bundle.json","state_url":"https://pith.science/pith/CQ2PQANHKWPQ2XAV3AQ7MRTMQG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CQ2PQANHKWPQ2XAV3AQ7MRTMQG/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":"2026-05-26T05:18:49Z","links":{"resolver":"https://pith.science/pith/CQ2PQANHKWPQ2XAV3AQ7MRTMQG","bundle":"https://pith.science/pith/CQ2PQANHKWPQ2XAV3AQ7MRTMQG/bundle.json","state":"https://pith.science/pith/CQ2PQANHKWPQ2XAV3AQ7MRTMQG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CQ2PQANHKWPQ2XAV3AQ7MRTMQG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CQ2PQANHKWPQ2XAV3AQ7MRTMQG","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":"8051eee1e1e72fba583eaa1260e0ae4ff921e0221eb273222dc31580e600a67a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-05-18T17:11:02Z","title_canon_sha256":"fa847965e2a70a23b4b25e8a3ce66fd96b34b5a173d536fc6ecb638fed75c753"},"schema_version":"1.0","source":{"id":"1205.4200","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4200","created_at":"2026-05-18T03:41:29Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4200v4","created_at":"2026-05-18T03:41:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4200","created_at":"2026-05-18T03:41:29Z"},{"alias_kind":"pith_short_12","alias_value":"CQ2PQANHKWPQ","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CQ2PQANHKWPQ2XAV","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CQ2PQANH","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:7276144154a4fafc670832b713455047ae564b30cef44a261b61a1a65ad9a4a5","target":"graph","created_at":"2026-05-18T03:41:29Z","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 study the ultrametric structure of phase space of one-dimensional Ising spin glasses with random power-law interaction in an external random field. Although in zero field the model in both the mean-field and non-mean-field universality classes shows an ultrametric signature [Phys. Rev. Lett. 102, 037207 (2009)], when a field is applied ultrametricity seems only present in the mean-field regime. The results for the non-mean field case in an external field agree with data for spin glasses studied within the Migdal-Kadanoff approximation. Our results therefore suggest that the spin-glass state","authors_text":"Alexander K. Hartmann, Florent Krzakala, Helmut G. Katzgraber, Thomas Jorg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-05-18T17:11:02Z","title":"Ultrametric probe of the spin-glass state in a field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4200","kind":"arxiv","version":4},"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":"sha256:929c2c6348003f91916abec486dddd0b8959de8297cf011d03bc8da3f9f4af17","target":"record","created_at":"2026-05-18T03:41:29Z","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":"8051eee1e1e72fba583eaa1260e0ae4ff921e0221eb273222dc31580e600a67a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-05-18T17:11:02Z","title_canon_sha256":"fa847965e2a70a23b4b25e8a3ce66fd96b34b5a173d536fc6ecb638fed75c753"},"schema_version":"1.0","source":{"id":"1205.4200","kind":"arxiv","version":4}},"canonical_sha256":"1434f801a7559f0d5c15d821f6466c819bc8dc98f6f2ee43e400136c2a427a09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1434f801a7559f0d5c15d821f6466c819bc8dc98f6f2ee43e400136c2a427a09","first_computed_at":"2026-05-18T03:41:29.248909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:29.248909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mp0+hCsRdInVn3zl8Pya+9nZj6RQEQODk+FL58hcOJWH246/rsNuDYleTqG0rQSTMthp3Z+3W5jIQ7wki5doBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:29.249648Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.4200","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:929c2c6348003f91916abec486dddd0b8959de8297cf011d03bc8da3f9f4af17","sha256:7276144154a4fafc670832b713455047ae564b30cef44a261b61a1a65ad9a4a5"],"state_sha256":"1fc80c308246e0c25fb776f56341f096eb280eada2e14cbdeb8cd932a9d4194a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u45981vWYKbB1LqpC5n/6JyWqgvexLq6BhtGLspnA1AJWz7Cx60bAOss0SSU4nlIjx2g5pUgtUv2/dKpkImaAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T05:18:49.530428Z","bundle_sha256":"f0c8c2a0b0f7bb8a69a9862e9790c52babf5a3e9f877ed53cb4086cb38be5535"}}