Pith Number

pith:HK2RB3AA

pith:2001:HK2RB3AAAMP33QX5ZMQDEO7BFY

not attested not anchored not stored refs pending

Hitting properties of a random string

Carl Mueller, Roger Tribe

arxiv:math/0112315 v3 · 2001-12-31 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HK2RB3AAAMP33QX5ZMQDEO7BFY}

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	2026-05-18T04:28:28.604581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ab510ec00031fbdc2fdcb20323be12e24a46459d754bac665974d72cf5b0e15

Aliases

arxiv: math/0112315 · arxiv_version: math/0112315v3 · doi: 10.48550/arxiv.math/0112315 · pith_short_12: HK2RB3AAAMP3 · pith_short_16: HK2RB3AAAMP33QX5 · pith_short_8: HK2RB3AA

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/HK2RB3AAAMP33QX5ZMQDEO7BFY \
  | 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: 3ab510ec00031fbdc2fdcb20323be12e24a46459d754bac665974d72cf5b0e15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b27085466fc537ca610ab9f685b1cb4959217f56f200d2641eab452191b83a6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2001-12-31T18:17:29Z",
    "title_canon_sha256": "1f0ae779d9d7761baf590172d4587a9a3667f067fc80e79676091615841bbe29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112315",
    "kind": "arxiv",
    "version": 3
  }
}