Pith Number

pith:H2NWCQJO

pith:2010:H2NWCQJO2KWPUBB7NW3BGTBTWJ

not attested not anchored not stored refs pending

Percolation Hamiltonians

Peter M\"uller, Peter Stollmann

arxiv:1002.5000 v3 · 2010-02-26 · math-ph · math.MP · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H2NWCQJO2KWPUBB7NW3BGTBTWJ}

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	2026-05-18T02:24:38.469751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e9b61412ed2acfa043f6db6134c33b26cffcb4193f0a7001150c241cd953d3e

Aliases

arxiv: 1002.5000 · arxiv_version: 1002.5000v3 · doi: 10.48550/arxiv.1002.5000 · pith_short_12: H2NWCQJO2KWP · pith_short_16: H2NWCQJO2KWPUBB7 · pith_short_8: H2NWCQJO

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/H2NWCQJO2KWPUBB7NW3BGTBTWJ \
  | 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: 3e9b61412ed2acfa043f6db6134c33b26cffcb4193f0a7001150c241cd953d3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4908d908b5f5f06f7b84d7eccd270846bc10b14d2c1956f6f5cac656bfa4e04b",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-02-26T14:51:20Z",
    "title_canon_sha256": "b2394bc91941f2a30d2761d1c0a56bea8cf6126b750d6b094bcc6383886600a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.5000",
    "kind": "arxiv",
    "version": 3
  }
}