Pith Number

pith:VGKYYG2Y

pith:2020:VGKYYG2YLBEZGZ7VWLHCIIDZJ7

not attested not anchored not stored refs pending

Hofstadter butterfly and the quantum Hall effect in twisted double bilayer graphenes

J. A. Crosse, Mikito Koshino, Naoto Nakatsuji, Pilkyung Moon

arxiv:2005.06218 v1 · 2020-05-13 · cond-mat.mes-hall

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGKYYG2YLBEZGZ7VWLHCIIDZJ7}

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	2026-07-05T01:21:00.733379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9958c1b5858499367f5b2ce2420794febe68544ada1fc2cf430bffce091d219

Aliases

arxiv: 2005.06218 · arxiv_version: 2005.06218v1 · doi: 10.48550/arxiv.2005.06218 · pith_short_12: VGKYYG2YLBEZ · pith_short_16: VGKYYG2YLBEZGZ7V · pith_short_8: VGKYYG2Y

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VGKYYG2YLBEZGZ7VWLHCIIDZJ7 \
  | 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: a9958c1b5858499367f5b2ce2420794febe68544ada1fc2cf430bffce091d219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e00378f8b2cfd0bad226e026a639f87b8878ad0a8fbdc5bfe3c4603a7b0bca5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2020-05-13T09:16:11Z",
    "title_canon_sha256": "36e029570000808fb7f1e1792760ce4c0e364a5d5b0f9fe0bf06e185f8287b92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.06218",
    "kind": "arxiv",
    "version": 1
  }
}