Pith Number

pith:EVWA6GXW

pith:2004:EVWA6GXWKSCXGPZZAENWBX4SHW

not attested not anchored not stored refs pending

Balanced Boolean functions that can be evaluated so that every input bit is unlikely to be read

David B. Wilson, Itai Benjamini, Oded Schramm

arxiv:math/0410282 v1 · 2004-10-12 · math.PR · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVWA6GXWKSCXGPZZAENWBX4SHW}

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	2026-05-18T03:53:05.282083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

256c0f1af65485733f39011b60df923d81fbe0fb51e453b39e9d2615a23050c6

Aliases

arxiv: math/0410282 · arxiv_version: math/0410282v1 · doi: 10.48550/arxiv.math/0410282 · pith_short_12: EVWA6GXWKSCX · pith_short_16: EVWA6GXWKSCXGPZZ · pith_short_8: EVWA6GXW

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/EVWA6GXWKSCXGPZZAENWBX4SHW \
  | 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: 256c0f1af65485733f39011b60df923d81fbe0fb51e453b39e9d2615a23050c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f660b428d69acbe7b76582abe5af6fec92d647521fd7e3b074cb94011e0086bd",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-10-12T00:09:35Z",
    "title_canon_sha256": "821f62843efdee7a9434cbbd1272d76db322bcac48b8cd005ec80b7d72742c6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410282",
    "kind": "arxiv",
    "version": 1
  }
}