{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:BABKF4R47HECOEJ57LLNCSXNA5","short_pith_number":"pith:BABKF4R4","canonical_record":{"source":{"id":"1501.06917","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-27T21:00:21Z","cross_cats_sorted":[],"title_canon_sha256":"9a964aabc7d248b3992da5b2b631af97f6b876b066b4768dd73580fa709b2408","abstract_canon_sha256":"3ca84e3f0bc5047955c8bb330c8c4176cf64bbd4b9b3e013fb69c120aaa3aa6f"},"schema_version":"1.0"},"canonical_sha256":"0802a2f23cf9c827113dfad6d14aed0762e64ab51285a40d943b1e7555233e41","source":{"kind":"arxiv","id":"1501.06917","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06917","created_at":"2026-05-18T02:18:23Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06917v2","created_at":"2026-05-18T02:18:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06917","created_at":"2026-05-18T02:18:23Z"},{"alias_kind":"pith_short_12","alias_value":"BABKF4R47HEC","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BABKF4R47HECOEJ5","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BABKF4R4","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:BABKF4R47HECOEJ57LLNCSXNA5","target":"record","payload":{"canonical_record":{"source":{"id":"1501.06917","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-27T21:00:21Z","cross_cats_sorted":[],"title_canon_sha256":"9a964aabc7d248b3992da5b2b631af97f6b876b066b4768dd73580fa709b2408","abstract_canon_sha256":"3ca84e3f0bc5047955c8bb330c8c4176cf64bbd4b9b3e013fb69c120aaa3aa6f"},"schema_version":"1.0"},"canonical_sha256":"0802a2f23cf9c827113dfad6d14aed0762e64ab51285a40d943b1e7555233e41","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:23.371223Z","signature_b64":"tPpo1twcwxgzsaf8A4V84aCFiKP2rfcjeoOwdpn2gw8i42n5mpXexCXYndJh0xxxr+rAtWL0jQZkLq3dfRalBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0802a2f23cf9c827113dfad6d14aed0762e64ab51285a40d943b1e7555233e41","last_reissued_at":"2026-05-18T02:18:23.370692Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:23.370692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.06917","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":"2026-05-18T02:18:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HMXVabceuJFru6V9w7ht6HOS9p1Nf+PMN/s5nzSTZEYd1DJ3Cg0pP+i53Ft1KvxE+Z5EhZSgoTmTY/kXE43FCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T06:30:45.663247Z"},"content_sha256":"e3223e5604b83aaf7b63483efc8c3004e9f3f09cbfff51d33cd845ccf114efd8","schema_version":"1.0","event_id":"sha256:e3223e5604b83aaf7b63483efc8c3004e9f3f09cbfff51d33cd845ccf114efd8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:BABKF4R47HECOEJ57LLNCSXNA5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-dimensional topological order of kinetically constrained quantum particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Claudio Castelnovo, Stefanos Kourtis","submitted_at":"2015-01-27T21:00:21Z","abstract_excerpt":"We investigate how imposing kinetic restrictions on quantum particles that would otherwise hop freely on a two-dimensional lattice can lead to topologically ordered states. The kinetically constrained models introduced here are derived as a generalization of strongly interacting particle systems in which hoppings are given by flux-lattice Hamiltonians and may be relevant to optically driven cold-atom systems. After introducing a broad class of models, we focus on particular realizations and show numerically that they exhibit topological order, as witnessed by topological ground-state degenerac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06917","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":"2026-05-18T02:18:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NihX+1KyHOHotKI1bDHYyFOTLl9hsx48Hg6/m5HL/lvSYKZZhtpv2TNBDQTzUJLtcezYNSN7Yqg5i61jznI8CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T06:30:45.663948Z"},"content_sha256":"43ef01b26d2861fadce43fca602ba35bf3ff176f351c1a122f027fce68e4df19","schema_version":"1.0","event_id":"sha256:43ef01b26d2861fadce43fca602ba35bf3ff176f351c1a122f027fce68e4df19"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BABKF4R47HECOEJ57LLNCSXNA5/bundle.json","state_url":"https://pith.science/pith/BABKF4R47HECOEJ57LLNCSXNA5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BABKF4R47HECOEJ57LLNCSXNA5/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":"2026-06-05T06:30:45Z","links":{"resolver":"https://pith.science/pith/BABKF4R47HECOEJ57LLNCSXNA5","bundle":"https://pith.science/pith/BABKF4R47HECOEJ57LLNCSXNA5/bundle.json","state":"https://pith.science/pith/BABKF4R47HECOEJ57LLNCSXNA5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BABKF4R47HECOEJ57LLNCSXNA5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BABKF4R47HECOEJ57LLNCSXNA5","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":"3ca84e3f0bc5047955c8bb330c8c4176cf64bbd4b9b3e013fb69c120aaa3aa6f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-27T21:00:21Z","title_canon_sha256":"9a964aabc7d248b3992da5b2b631af97f6b876b066b4768dd73580fa709b2408"},"schema_version":"1.0","source":{"id":"1501.06917","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06917","created_at":"2026-05-18T02:18:23Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06917v2","created_at":"2026-05-18T02:18:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06917","created_at":"2026-05-18T02:18:23Z"},{"alias_kind":"pith_short_12","alias_value":"BABKF4R47HEC","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BABKF4R47HECOEJ5","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BABKF4R4","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:43ef01b26d2861fadce43fca602ba35bf3ff176f351c1a122f027fce68e4df19","target":"graph","created_at":"2026-05-18T02:18:23Z","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 investigate how imposing kinetic restrictions on quantum particles that would otherwise hop freely on a two-dimensional lattice can lead to topologically ordered states. The kinetically constrained models introduced here are derived as a generalization of strongly interacting particle systems in which hoppings are given by flux-lattice Hamiltonians and may be relevant to optically driven cold-atom systems. After introducing a broad class of models, we focus on particular realizations and show numerically that they exhibit topological order, as witnessed by topological ground-state degenerac","authors_text":"Claudio Castelnovo, Stefanos Kourtis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-27T21:00:21Z","title":"Two-dimensional topological order of kinetically constrained quantum particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06917","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:e3223e5604b83aaf7b63483efc8c3004e9f3f09cbfff51d33cd845ccf114efd8","target":"record","created_at":"2026-05-18T02:18:23Z","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":"3ca84e3f0bc5047955c8bb330c8c4176cf64bbd4b9b3e013fb69c120aaa3aa6f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-27T21:00:21Z","title_canon_sha256":"9a964aabc7d248b3992da5b2b631af97f6b876b066b4768dd73580fa709b2408"},"schema_version":"1.0","source":{"id":"1501.06917","kind":"arxiv","version":2}},"canonical_sha256":"0802a2f23cf9c827113dfad6d14aed0762e64ab51285a40d943b1e7555233e41","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0802a2f23cf9c827113dfad6d14aed0762e64ab51285a40d943b1e7555233e41","first_computed_at":"2026-05-18T02:18:23.370692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:23.370692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tPpo1twcwxgzsaf8A4V84aCFiKP2rfcjeoOwdpn2gw8i42n5mpXexCXYndJh0xxxr+rAtWL0jQZkLq3dfRalBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:23.371223Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.06917","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3223e5604b83aaf7b63483efc8c3004e9f3f09cbfff51d33cd845ccf114efd8","sha256:43ef01b26d2861fadce43fca602ba35bf3ff176f351c1a122f027fce68e4df19"],"state_sha256":"f4400f67b6c43046f8fe6ec8f1d782a61865e9568e5026b831b1812644df268e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yp3TrWSFsnQ3Ix6+XyaLHaKjdVxhIOM8ACk5gVFjKYVmChXNR2TW6kwYEruDLOgW20yyOz8QdytCUmrSJSB/AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T06:30:45.667982Z","bundle_sha256":"30d005419bf78cbfddd62eb640a60b54b6acca768ffbfdf7c997da58c25cf466"}}