Pith Number

pith:FK7PQ4EZ

pith:2013:FK7PQ4EZXNPAZJO5JRZWQ2ZJWN

not attested not anchored not stored refs pending

Geometric structure of percolation clusters

Junfeng Wang, Timothy M. Garoni, Xiao Xu, Youjin Deng, Zongzheng Zhou

arxiv:1309.7244 v3 · 2013-09-27 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FK7PQ4EZXNPAZJO5JRZWQ2ZJWN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:47:25.565626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2abef87099bb5e0ca5dd4c73686b29b362b726790c00a6f13a40989fba7378e9

Aliases

arxiv: 1309.7244 · arxiv_version: 1309.7244v3 · doi: 10.48550/arxiv.1309.7244 · pith_short_12: FK7PQ4EZXNPA · pith_short_16: FK7PQ4EZXNPAZJO5 · pith_short_8: FK7PQ4EZ

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/FK7PQ4EZXNPAZJO5JRZWQ2ZJWN \
  | 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: 2abef87099bb5e0ca5dd4c73686b29b362b726790c00a6f13a40989fba7378e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3815e5ed85ee39780c0d4b12c49b751febc84dc1394a8b9f708d8743b98141fa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-09-27T14:09:37Z",
    "title_canon_sha256": "e3ddbbf12f48ea834f64bb605d38af7d4e40386d8cb42647fbd96fb31f821a32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7244",
    "kind": "arxiv",
    "version": 3
  }
}