Pith Number

pith:WUQCFWB5

pith:2011:WUQCFWB5K6PO62QIU7OJOGEXZP

not attested not anchored not stored refs pending

Gapless Hamiltonians for the toric code using the PEPS formalism

Carlos Fern\'andez-Gonz\'alez, David P\'erez-Garc\'ia, J. Ignacio Cirac, Michael M. Wolf, Norbert Schuch

arxiv:1111.5817 v2 · 2011-11-24 · quant-ph · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUQCFWB5K6PO62QIU7OJOGEXZP}

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	2026-05-18T03:37:41.618287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52022d83d579eef6a08a7dc971897cbce6785b5ea654adbf5c118049a100285

Aliases

arxiv: 1111.5817 · arxiv_version: 1111.5817v2 · doi: 10.48550/arxiv.1111.5817 · pith_short_12: WUQCFWB5K6PO · pith_short_16: WUQCFWB5K6PO62QI · pith_short_8: WUQCFWB5

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/WUQCFWB5K6PO62QIU7OJOGEXZP \
  | 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: b52022d83d579eef6a08a7dc971897cbce6785b5ea654adbf5c118049a100285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7584596138b63925771fb4fb1f1e9b9c341a8c4b991312294d477b37061e6192",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-24T17:15:31Z",
    "title_canon_sha256": "cd77502e0f9a34b06d9def407b0dc0a91dc8c14ab71ada03a7d8a0004a532224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5817",
    "kind": "arxiv",
    "version": 2
  }
}