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Pith Number

pith:3YQPS5I3

pith:2012:3YQPS5I3AG3WA4DFDJGZXGBUDG
not attested not anchored not stored refs pending

Entanglement spectrum and Wannier center flow of the Hofstadter problem

Daniel P. Arovas, Zhoushen Huang

arxiv:1201.0733 v3 · 2012-01-03 · cond-mat.stat-mech · cond-mat.other

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3YQPS5I3AG3WA4DFDJGZXGBUDG}

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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 2026-05-18T03:36:04.734386Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

de20f9751b01b76070651a4d9b983419bb462ee80adc47e6c7fb841a92365afa

Aliases

arxiv: 1201.0733 · arxiv_version: 1201.0733v3 · doi: 10.48550/arxiv.1201.0733 · pith_short_12: 3YQPS5I3AG3W · pith_short_16: 3YQPS5I3AG3WA4DF · pith_short_8: 3YQPS5I3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3YQPS5I3AG3WA4DFDJGZXGBUDG \
  | 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: de20f9751b01b76070651a4d9b983419bb462ee80adc47e6c7fb841a92365afa
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b3be9fb06c139edf40ab03838bd48fe7c7c6e2d88e034ec79aff8b73876b0460",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-01-03T19:56:17Z",
    "title_canon_sha256": "73cf9312d474796610e40e746b772b6165792c17a8a7dc5f9441e45b12968f96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0733",
    "kind": "arxiv",
    "version": 3
  }
}