Pith Number

pith:GWULLKSB

pith:2013:GWULLKSBLFEP7VRFASQVJHV5ZV

not attested not anchored not stored refs pending

A complementary set theory for quaternary code designs

Boxin Tang, Rahul Mukerjee

arxiv:1312.5085 v1 · 2013-12-18 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWULLKSBLFEP7VRFASQVJHV5ZV}

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	2026-05-18T03:04:16.367675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35a8b5aa415948ffd62504a1549ebdcd67e2aea5323f9bc723ef65e005039385

Aliases

arxiv: 1312.5085 · arxiv_version: 1312.5085v1 · doi: 10.48550/arxiv.1312.5085 · pith_short_12: GWULLKSBLFEP · pith_short_16: GWULLKSBLFEP7VRF · pith_short_8: GWULLKSB

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/GWULLKSBLFEP7VRFASQVJHV5ZV \
  | 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: 35a8b5aa415948ffd62504a1549ebdcd67e2aea5323f9bc723ef65e005039385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b02bb31f059957cad5a799318d1e5c31e0509941ed5915caa6bcb2b13ba4a27",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-18T10:28:51Z",
    "title_canon_sha256": "75ad9b9d6a0ce749c6706832f09ca5225da5f262ba832121b12bdb52084b8308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5085",
    "kind": "arxiv",
    "version": 1
  }
}