Pith Number

pith:Z67IRZLV

pith:2010:Z67IRZLVEOQF7AKLQVBIVPSWAF

not attested not anchored not stored refs pending

Maximizing the size of the giant

Pieter Trapman, Tom Britton

arxiv:1010.0524 v1 · 2010-10-04 · 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{Z67IRZLVEOQF7AKLQVBIVPSWAF}

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	2026-05-18T04:39:51.879766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfbe88e57523a05f814b85428abe56017ce216b266b72ee7949cbea86fb91b84

Aliases

arxiv: 1010.0524 · arxiv_version: 1010.0524v1 · doi: 10.48550/arxiv.1010.0524 · pith_short_12: Z67IRZLVEOQF · pith_short_16: Z67IRZLVEOQF7AKL · pith_short_8: Z67IRZLV

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/Z67IRZLVEOQF7AKLQVBIVPSWAF \
  | 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: cfbe88e57523a05f814b85428abe56017ce216b266b72ee7949cbea86fb91b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fab2216f5536ab3e90c1e124cff419a4652af7c26e1f44d327e804364dd9d015",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-04T10:06:22Z",
    "title_canon_sha256": "5900b23ac48ed1fa1deb8c5c5694988876e516eb4baa794e18bcbfa3a29f70a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0524",
    "kind": "arxiv",
    "version": 1
  }
}