Pith Number

pith:WTMUBQL2

pith:2012:WTMUBQL24XODCXJHOL5WF4JKKG

not attested not anchored not stored refs pending

Association schemes related to Delsarte-Goethals codes

Gennian Ge, Sihuang Hu, Tao Feng

arxiv:1212.0347 v1 · 2012-12-03 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTMUBQL24XODCXJHOL5WF4JKKG}

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	2026-05-18T01:12:59.859061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d940c17ae5dc315d2772fb62f12a51a64634dff21d0caf4b8d5a864808916f

Aliases

arxiv: 1212.0347 · arxiv_version: 1212.0347v1 · doi: 10.48550/arxiv.1212.0347 · pith_short_12: WTMUBQL24XOD · pith_short_16: WTMUBQL24XODCXJH · pith_short_8: WTMUBQL2

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/WTMUBQL24XODCXJHOL5WF4JKKG \
  | 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: b4d940c17ae5dc315d2772fb62f12a51a64634dff21d0caf4b8d5a864808916f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a878c9e0baee2d405abfd46d4c28c2b1a1e5b7d41d304dd86cb7d6dc5aabeb0f",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-03T10:47:59Z",
    "title_canon_sha256": "2aaf5d5430609f479af74c55e9968e002551e766e27dcf4a52f7f29c84fdf4d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0347",
    "kind": "arxiv",
    "version": 1
  }
}