Pith Number

pith:3XPJWYGF

pith:2010:3XPJWYGFAPFP4UNSBEYCDDH6JF

not attested not anchored not stored refs pending

System size expansion for systems with an absorbing state

Amos Maritan, Francesca Di Patti, Jayanth R. Banavar, Sandro Azaele

arxiv:1012.2740 v1 · 2010-12-13 · 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{3XPJWYGFAPFP4UNSBEYCDDH6JF}

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	2026-05-18T02:04:27.591390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddde9b60c503cafe51b20930218cfe495e23ab3d2467351170d72a1859f3c66e

Aliases

arxiv: 1012.2740 · arxiv_version: 1012.2740v1 · doi: 10.48550/arxiv.1012.2740 · pith_short_12: 3XPJWYGFAPFP · pith_short_16: 3XPJWYGFAPFP4UNS · pith_short_8: 3XPJWYGF

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/3XPJWYGFAPFP4UNSBEYCDDH6JF \
  | 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: ddde9b60c503cafe51b20930218cfe495e23ab3d2467351170d72a1859f3c66e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df0aaf575c6b1126786b486c159fbcf05b9a8d41ce5308f9c170806646687813",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-13T14:36:01Z",
    "title_canon_sha256": "fd370200b7ca4d302e04c64fe7753654c6da31eae61c8518775e3f3467dd7440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2740",
    "kind": "arxiv",
    "version": 1
  }
}