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Pith Number

pith:ZAKYJL4Q

pith:2017:ZAKYJL4QGCIXEZEPQXSZZNNTAP
not attested not anchored not stored refs pending

Disorder-induced topological phase transitions on Lieb lattices

Bin Zhou, Dong-Hui Xu, Rui Chen

arxiv:1708.02121 v2 · 2017-08-07 · cond-mat.mes-hall

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZAKYJL4QGCIXEZEPQXSZZNNTAP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T00:30:16.563499Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c81584af90309172648f85e59cb5b303c736200eb125f5063f18259f51e0f445

Aliases

arxiv: 1708.02121 · arxiv_version: 1708.02121v2 · doi: 10.48550/arxiv.1708.02121 · pith_short_12: ZAKYJL4QGCIX · pith_short_16: ZAKYJL4QGCIXEZEP · pith_short_8: ZAKYJL4Q
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZAKYJL4QGCIXEZEPQXSZZNNTAP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c81584af90309172648f85e59cb5b303c736200eb125f5063f18259f51e0f445
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "07f9f128fdde142a007803b0b9864a371a4d291009f310cf57db1d1d46349403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2017-08-07T13:57:32Z",
    "title_canon_sha256": "057bdb2e7148145d33ba3962655944a285019986f0d2deeb63a35c5a9c098abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02121",
    "kind": "arxiv",
    "version": 2
  }
}