Pith Number

pith:3KCTPG5P

pith:2013:3KCTPG5PQLZXOIXVGT62CSVB3N

not attested not anchored not stored refs pending

Small-Bias Sets for Nonabelian Groups: Derandomizing the Alon-Roichman Theorem

Alexander Russell, Cristopher Moore, Sixia Chen

arxiv:1304.5010 v4 · 2013-04-18 · cs.CC · math.CO · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KCTPG5PQLZXOIXVGT62CSVB3N}

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	2026-05-18T03:26:51.996689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da85379baf82f37722f534fda14aa1db76ae330a9ec2a18393ff3bb44b40a0b0

Aliases

arxiv: 1304.5010 · arxiv_version: 1304.5010v4 · doi: 10.48550/arxiv.1304.5010 · pith_short_12: 3KCTPG5PQLZX · pith_short_16: 3KCTPG5PQLZXOIXV · pith_short_8: 3KCTPG5P

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/3KCTPG5PQLZXOIXVGT62CSVB3N \
  | 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: da85379baf82f37722f534fda14aa1db76ae330a9ec2a18393ff3bb44b40a0b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2613b117609f2945cc5b1306a3f6c41059ffac800a5af90b836a7d9b28c7439b",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-04-18T03:17:23Z",
    "title_canon_sha256": "6838c147b890e4eea1c393491e2a6824c9ad0e780b52fe34d598b53da2b02703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5010",
    "kind": "arxiv",
    "version": 4
  }
}