{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ZBDASTO7T7VN2RRSCRP7QYXZTN","short_pith_number":"pith:ZBDASTO7","canonical_record":{"source":{"id":"1704.03870","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-04-12T17:59:59Z","cross_cats_sorted":[],"title_canon_sha256":"c8fdb616bc5b350b0e2edc86997f64db706c8d0a1a743c2c43d9f6fe5da319b1","abstract_canon_sha256":"76dd30212ac851e3e84792719b94980742ea9a22f6255e72ac817616a4a1e81e"},"schema_version":"1.0"},"canonical_sha256":"c846094ddf9feadd4632145ff862f99b4d450338171b1f148de5754da76c1f4b","source":{"kind":"arxiv","id":"1704.03870","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03870","created_at":"2026-05-18T00:33:39Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03870v2","created_at":"2026-05-18T00:33:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03870","created_at":"2026-05-18T00:33:39Z"},{"alias_kind":"pith_short_12","alias_value":"ZBDASTO7T7VN","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZBDASTO7T7VN2RRS","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZBDASTO7","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ZBDASTO7T7VN2RRSCRP7QYXZTN","target":"record","payload":{"canonical_record":{"source":{"id":"1704.03870","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-04-12T17:59:59Z","cross_cats_sorted":[],"title_canon_sha256":"c8fdb616bc5b350b0e2edc86997f64db706c8d0a1a743c2c43d9f6fe5da319b1","abstract_canon_sha256":"76dd30212ac851e3e84792719b94980742ea9a22f6255e72ac817616a4a1e81e"},"schema_version":"1.0"},"canonical_sha256":"c846094ddf9feadd4632145ff862f99b4d450338171b1f148de5754da76c1f4b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:39.282029Z","signature_b64":"ptlbdOgry8kJ7ZROdqzz9mSMIwKPe/Nwu9UPUZ7cD1LkbqYA6n6OeuyEcA0FiCme1FsMwwSrkKmcC0iIQDEtAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c846094ddf9feadd4632145ff862f99b4d450338171b1f148de5754da76c1f4b","last_reissued_at":"2026-05-18T00:33:39.281523Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:39.281523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.03870","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":"2026-05-18T00:33:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FeYR2Ac6Yq7IOXhE9P5cFF8GvvBWnkEUDq4Sro210GwFKa+UGRDlZs8ILG/bR0G8+ww+3Sv9Hqbz2yUSmC7fBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T18:16:09.422148Z"},"content_sha256":"931a6652bbaf7339eb26355d2ecaa28798346c9f1e6f2a39ecd554d431cc9728","schema_version":"1.0","event_id":"sha256:931a6652bbaf7339eb26355d2ecaa28798346c9f1e6f2a39ecd554d431cc9728"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ZBDASTO7T7VN2RRSCRP7QYXZTN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fracton Topological Order from Nearest-Neighbor Two-Spin Interactions and Dualities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Kevin Slagle, Yong Baek Kim","submitted_at":"2017-04-12T17:59:59Z","abstract_excerpt":"Fracton topological order describes a remarkable phase of matter which can be characterized by fracton excitations with constrained dynamics and a ground state degeneracy that increases exponentially with the length of the system on a three-dimensional torus. However, previous models exhibiting this order require many-spin interactions which may be very difficult to realize in a real material or cold atom system. In this work, we present a more physically realistic model which has the so-called X-cube fracton topological order but only requires nearest-neighbor two-spin interactions. The model"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03870","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":"2026-05-18T00:33:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MqQge3xbgEIXCt5Q3CERY/3siUfGpYL2yiRk3Z8njJOWaWWD4svTpvX117d1rYCaidDWuC500VwnBbATuJYiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T18:16:09.422641Z"},"content_sha256":"59e2554395c374ca44e64b0981022c3ab7b94d1664f03e08782666097c06e5ce","schema_version":"1.0","event_id":"sha256:59e2554395c374ca44e64b0981022c3ab7b94d1664f03e08782666097c06e5ce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZBDASTO7T7VN2RRSCRP7QYXZTN/bundle.json","state_url":"https://pith.science/pith/ZBDASTO7T7VN2RRSCRP7QYXZTN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZBDASTO7T7VN2RRSCRP7QYXZTN/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":"2026-08-12T18:16:09Z","links":{"resolver":"https://pith.science/pith/ZBDASTO7T7VN2RRSCRP7QYXZTN","bundle":"https://pith.science/pith/ZBDASTO7T7VN2RRSCRP7QYXZTN/bundle.json","state":"https://pith.science/pith/ZBDASTO7T7VN2RRSCRP7QYXZTN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZBDASTO7T7VN2RRSCRP7QYXZTN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZBDASTO7T7VN2RRSCRP7QYXZTN","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":"76dd30212ac851e3e84792719b94980742ea9a22f6255e72ac817616a4a1e81e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-04-12T17:59:59Z","title_canon_sha256":"c8fdb616bc5b350b0e2edc86997f64db706c8d0a1a743c2c43d9f6fe5da319b1"},"schema_version":"1.0","source":{"id":"1704.03870","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03870","created_at":"2026-05-18T00:33:39Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03870v2","created_at":"2026-05-18T00:33:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03870","created_at":"2026-05-18T00:33:39Z"},{"alias_kind":"pith_short_12","alias_value":"ZBDASTO7T7VN","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZBDASTO7T7VN2RRS","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZBDASTO7","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:59e2554395c374ca44e64b0981022c3ab7b94d1664f03e08782666097c06e5ce","target":"graph","created_at":"2026-05-18T00:33:39Z","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":"Fracton topological order describes a remarkable phase of matter which can be characterized by fracton excitations with constrained dynamics and a ground state degeneracy that increases exponentially with the length of the system on a three-dimensional torus. However, previous models exhibiting this order require many-spin interactions which may be very difficult to realize in a real material or cold atom system. In this work, we present a more physically realistic model which has the so-called X-cube fracton topological order but only requires nearest-neighbor two-spin interactions. The model","authors_text":"Kevin Slagle, Yong Baek Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-04-12T17:59:59Z","title":"Fracton Topological Order from Nearest-Neighbor Two-Spin Interactions and Dualities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03870","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":"sha256:931a6652bbaf7339eb26355d2ecaa28798346c9f1e6f2a39ecd554d431cc9728","target":"record","created_at":"2026-05-18T00:33:39Z","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":"76dd30212ac851e3e84792719b94980742ea9a22f6255e72ac817616a4a1e81e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-04-12T17:59:59Z","title_canon_sha256":"c8fdb616bc5b350b0e2edc86997f64db706c8d0a1a743c2c43d9f6fe5da319b1"},"schema_version":"1.0","source":{"id":"1704.03870","kind":"arxiv","version":2}},"canonical_sha256":"c846094ddf9feadd4632145ff862f99b4d450338171b1f148de5754da76c1f4b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c846094ddf9feadd4632145ff862f99b4d450338171b1f148de5754da76c1f4b","first_computed_at":"2026-05-18T00:33:39.281523Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:39.281523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ptlbdOgry8kJ7ZROdqzz9mSMIwKPe/Nwu9UPUZ7cD1LkbqYA6n6OeuyEcA0FiCme1FsMwwSrkKmcC0iIQDEtAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:39.282029Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03870","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:931a6652bbaf7339eb26355d2ecaa28798346c9f1e6f2a39ecd554d431cc9728","sha256:59e2554395c374ca44e64b0981022c3ab7b94d1664f03e08782666097c06e5ce"],"state_sha256":"49e2233bbbf1c8e9b875709c1f8d960b5b9faf2ba0e5cdd3535e79a18d435108"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8v7NU4UGqfqEglRsIzhIUs5j9uPC6riW8GKq9Kp2Jj8BvdoPhCceU8teTrGRCCt4dNaiYZNSPkGYn8gNBUjDCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T18:16:09.428336Z","bundle_sha256":"a92225d16931e2315dbdeeae2ae3188340c4642c2de9b52bc04a84405f57eb2d"}}