Pith Number

pith:ZK5MSUER

pith:2012:ZK5MSUERAFHS5PHOIMVFWGN4HG

not attested not anchored not stored refs pending

Deterministic approximations of random reflectors

Krzysztof Burdzy, Omer Angel, Scott Sheffield

arxiv:1203.0801 v2 · 2012-03-05 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZK5MSUERAFHS5PHOIMVFWGN4HG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:58:12.323939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cabac95091014f2ebcee432a5b19bc3991e21f315ea8b0dd2dcff3e51c9dbad2

Aliases

arxiv: 1203.0801 · arxiv_version: 1203.0801v2 · doi: 10.48550/arxiv.1203.0801 · pith_short_12: ZK5MSUERAFHS · pith_short_16: ZK5MSUERAFHS5PHO · pith_short_8: ZK5MSUER

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/ZK5MSUERAFHS5PHOIMVFWGN4HG \
  | 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: cabac95091014f2ebcee432a5b19bc3991e21f315ea8b0dd2dcff3e51c9dbad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e4937cc9411deb98c767de938420e7decc93ff959e0f86279f893ad4031822b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-05T02:11:01Z",
    "title_canon_sha256": "d8903d6507023bcff3e1e310e91b35d5b514fe99b4183487ad616a39991fb864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0801",
    "kind": "arxiv",
    "version": 2
  }
}