Pith Number

pith:THIJ67K2

pith:2010:THIJ67K2QLBXRDYEPYVWKMZPDU

not attested not anchored not stored refs pending

Percolation in invariant Poisson graphs with i.i.d. degrees

Alexander E. Holroyd, Maria Deijfen, Olle Haggstrom

arxiv:1002.1943 v1 · 2010-02-09 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THIJ67K2QLBXRDYEPYVWKMZPDU}

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	2026-05-18T02:09:10.669926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99d09f7d5a82c3788f047e2b65332f1d009c9579cd2b4f8677e1908ede6c7d76

Aliases

arxiv: 1002.1943 · arxiv_version: 1002.1943v1 · doi: 10.48550/arxiv.1002.1943 · pith_short_12: THIJ67K2QLBX · pith_short_16: THIJ67K2QLBXRDYE · pith_short_8: THIJ67K2

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/THIJ67K2QLBXRDYEPYVWKMZPDU \
  | 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: 99d09f7d5a82c3788f047e2b65332f1d009c9579cd2b4f8677e1908ede6c7d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ca2e7c9c89ac49f4d5a068cd117694e9d102c7e8014667dec7da7742ac1e23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-02-09T19:03:30Z",
    "title_canon_sha256": "0787881669d42c45eed1c917ddf90609e8a720ea94be0385444f9e55ed81214f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1943",
    "kind": "arxiv",
    "version": 1
  }
}