Pith Number

pith:E2ZNQQ4T

pith:2012:E2ZNQQ4TZKWPMKXR3H3MWNQ2GV

not attested not anchored not stored refs pending

Random triangle removal

Alan Frieze, Eyal Lubetzky, Tom Bohman

arxiv:1203.4223 v3 · 2012-03-19 · math.CO · 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{E2ZNQQ4TZKWPMKXR3H3MWNQ2GV}

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	2026-05-18T03:54:04.027142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26b2d84393caacf62af1d9f6cb361a3573933b5c17e961079e58862f2174a733

Aliases

arxiv: 1203.4223 · arxiv_version: 1203.4223v3 · doi: 10.48550/arxiv.1203.4223 · pith_short_12: E2ZNQQ4TZKWP · pith_short_16: E2ZNQQ4TZKWPMKXR · pith_short_8: E2ZNQQ4T

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/E2ZNQQ4TZKWPMKXR3H3MWNQ2GV \
  | 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: 26b2d84393caacf62af1d9f6cb361a3573933b5c17e961079e58862f2174a733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a6d65aee35da995c8519e470a777172bc1f775124f09662437393128ba549e0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-19T19:58:19Z",
    "title_canon_sha256": "72a81e864f2cae1ca2d78f7d6d175e51383942dd60a94b7bd1896bf605a91f69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4223",
    "kind": "arxiv",
    "version": 3
  }
}