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Pith Number

pith:TPL7LY64

pith:2011:TPL7LY64B2V3KDHWUN2MVS7WMQ
not attested not anchored not stored refs pending

Pseudospin Order in Monolayer, Bilayer, and Double-Layer Graphene

Allan H. MacDonald, Fan Zhang, Jeil Jung

arxiv:1109.0307 v3 · 2011-09-01 · cond-mat.mes-hall

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TPL7LY64B2V3KDHWUN2MVS7WMQ}

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 2026-05-18T04:02:34.808385Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9bd7f5e3dc0eabb50cf6a374cacbf66427a6f2aac589e86e78626f18245fbb2e

Aliases

arxiv: 1109.0307 · arxiv_version: 1109.0307v3 · doi: 10.48550/arxiv.1109.0307 · pith_short_12: TPL7LY64B2V3 · pith_short_16: TPL7LY64B2V3KDHW · pith_short_8: TPL7LY64
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TPL7LY64B2V3KDHWUN2MVS7WMQ \
  | 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: 9bd7f5e3dc0eabb50cf6a374cacbf66427a6f2aac589e86e78626f18245fbb2e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fc60b20091a247267b1fffde12ab9ca6adb7ebf1202b55717ed06826cda275e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2011-09-01T21:05:18Z",
    "title_canon_sha256": "017010a2e8b65bda1bc494bf376f0a3694e241f7664cf9da85531ebfc04b3ba1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0307",
    "kind": "arxiv",
    "version": 3
  }
}