Pith Number

pith:J5IMUHDW

pith:2009:J5IMUHDWJ5EYNGMPFNQ6WDARV5

not attested not anchored not stored refs pending

Crossing bonds in the random-cluster model

Henk W.J. Blote, Wenan Guo, Youjin Deng

arxiv:0903.4729 v1 · 2009-03-27 · cond-mat.stat-mech · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5IMUHDWJ5EYNGMPFNQ6WDARV5}

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	2026-05-18T02:14:19.177227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f50ca1c764f4986998f2b61eb0c11af7cce1b36107eb1cf6b44b7d803aa22ec

Aliases

arxiv: 0903.4729 · arxiv_version: 0903.4729v1 · doi: 10.48550/arxiv.0903.4729 · pith_short_12: J5IMUHDWJ5EY · pith_short_16: J5IMUHDWJ5EYNGMP · pith_short_8: J5IMUHDW

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/J5IMUHDWJ5EYNGMPFNQ6WDARV5 \
  | 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: 4f50ca1c764f4986998f2b61eb0c11af7cce1b36107eb1cf6b44b7d803aa22ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2955be3446c7d07d79e555bd48bbde32f1208e17325d2823212c79fdc26d2d1c",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-03-27T03:30:14Z",
    "title_canon_sha256": "c31c425825c033aeb667c65e7ac5d2d50b95ea85ffa54e823312d514ec1226f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4729",
    "kind": "arxiv",
    "version": 1
  }
}