Pith Number

pith:K3NH5JYT

pith:2012:K3NH5JYT6FYQFFCZA3GXTZ6BZB

not attested not anchored not stored refs pending

Phase diagram of the toric code model in a parallel magnetic field

Fengcheng Wu, Nikolay Prokof'ev, Youjin Deng

arxiv:1201.6409 v2 · 2012-01-31 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3NH5JYT6FYQFFCZA3GXTZ6BZB}

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	2026-05-18T03:56:33.810803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56da7ea713f17102945906cd79e7c1c846f2c94d61b6d393a259cf9f6aedd432

Aliases

arxiv: 1201.6409 · arxiv_version: 1201.6409v2 · doi: 10.48550/arxiv.1201.6409 · pith_short_12: K3NH5JYT6FYQ · pith_short_16: K3NH5JYT6FYQFFCZ · pith_short_8: K3NH5JYT

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/K3NH5JYT6FYQFFCZA3GXTZ6BZB \
  | 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: 56da7ea713f17102945906cd79e7c1c846f2c94d61b6d393a259cf9f6aedd432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77e3d00331cfd2d881f527599ccc9c6a72f40046bea5258ac75724b63c22cbc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-01-31T00:16:00Z",
    "title_canon_sha256": "7cc674bcb6af66562d094a3d3804025d7db3acb6a46839d0521903efd68890c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6409",
    "kind": "arxiv",
    "version": 2
  }
}