Pith Number

pith:EEN4SFUO

pith:2014:EEN4SFUOBQCWPK3TCBOJAJBH6S

not attested not anchored not stored refs pending

Circuit complexity, proof complexity, and polynomial identity testing

Joshua A. Grochow, Toniann Pitassi

arxiv:1404.3820 v1 · 2014-04-15 · cs.CC · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EEN4SFUOBQCWPK3TCBOJAJBH6S}

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	2026-05-18T02:54:13.545722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

211bc9168e0c0567ab73105c902427f48907ed1040f7747710e6f3fde7c4a3c5

Aliases

arxiv: 1404.3820 · arxiv_version: 1404.3820v1 · doi: 10.48550/arxiv.1404.3820 · pith_short_12: EEN4SFUOBQCW · pith_short_16: EEN4SFUOBQCWPK3T · pith_short_8: EEN4SFUO

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/EEN4SFUOBQCWPK3TCBOJAJBH6S \
  | 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: 211bc9168e0c0567ab73105c902427f48907ed1040f7747710e6f3fde7c4a3c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ef800c574da72831b3b07bdb1272d7dccc4a8e98bf097f0f3395b4be4f5d2f5",
    "cross_cats_sorted": [
      "cs.LO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-04-15T05:54:46Z",
    "title_canon_sha256": "700109dadcc4dc882b5c4397ee6be634a87a43e3b63fc9fe2c22eca98d5738ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3820",
    "kind": "arxiv",
    "version": 1
  }
}