Pith Number

pith:WBL5BI2R

pith:2013:WBL5BI2RZI53PR4DFDYMKTKVQ5

not attested not anchored not stored refs pending

Parallel family trees for transfer matrices in the Potts model

Cristobal A. Navarro, Fabrizio Canfora, Gonzalo Navarro, Nancy Hitschfeld Kahler

arxiv:1312.2664 v2 · 2013-12-10 · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBL5BI2RZI53PR4DFDYMKTKVQ5}

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	2026-05-18T01:09:38.317976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b057d0a351ca3bb7c78328f0c54d55877140a00a13b736efebeffe438b089d22

Aliases

arxiv: 1312.2664 · arxiv_version: 1312.2664v2 · doi: 10.48550/arxiv.1312.2664 · pith_short_12: WBL5BI2RZI53 · pith_short_16: WBL5BI2RZI53PR4D · pith_short_8: WBL5BI2R

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/WBL5BI2RZI53PR4DFDYMKTKVQ5 \
  | 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: b057d0a351ca3bb7c78328f0c54d55877140a00a13b736efebeffe438b089d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43e6d877290c718af5d70f4a175db7a6b3bea4143d9ab2d8307cf0086b1ae221",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2013-12-10T04:23:39Z",
    "title_canon_sha256": "1168fa99071013ecb7941e2f39dbef662c383e5eaf4726917a05e8307419f208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2664",
    "kind": "arxiv",
    "version": 2
  }
}