Pith Number

pith:ABGZXP7I

pith:2012:ABGZXP7I5OMTJCTGUKLKGCWMEN

not attested not anchored not stored refs pending

Agglomerative percolation on the Bethe lattice and the triangular cactus

Huiseung Chae, Soon-Hyung Yook, Yup Kim

arxiv:1209.1937 v1 · 2012-09-10 · 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{ABGZXP7I5OMTJCTGUKLKGCWMEN}

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	2026-05-18T03:45:54.047425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

004d9bbfe8eb99348a66a296a30acc2364eb037634bcdfa0b6614dd88482d172

Aliases

arxiv: 1209.1937 · arxiv_version: 1209.1937v1 · doi: 10.48550/arxiv.1209.1937 · pith_short_12: ABGZXP7I5OMT · pith_short_16: ABGZXP7I5OMTJCTG · pith_short_8: ABGZXP7I

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/ABGZXP7I5OMTJCTGUKLKGCWMEN \
  | 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: 004d9bbfe8eb99348a66a296a30acc2364eb037634bcdfa0b6614dd88482d172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75544d15805a1ca264223f2baa67fb9358e98ff596c76687b3d16e2344f04bac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-09-10T10:58:21Z",
    "title_canon_sha256": "bfcaa05aad1f3ef1dc7ae3a7ea1d4db45b2d281665efcc2f07f457d141d94a71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1937",
    "kind": "arxiv",
    "version": 1
  }
}