Pith Number

pith:3RZBRIAM

pith:2009:3RZBRIAMQYU3EQPIY22B33PQ6X

not attested not anchored not stored refs pending

Four-class Skew-symmetric Association Schemes

Jianmin Ma, Kaishun Wang

arxiv:0911.0721 v2 · 2009-11-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RZBRIAMQYU3EQPIY22B33PQ6X}

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	2026-05-18T04:18:54.794896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc7218a00c8629b241e8c6b41dedf0f5c18f52592a3f84d5f025d2658727ac8b

Aliases

arxiv: 0911.0721 · arxiv_version: 0911.0721v2 · doi: 10.48550/arxiv.0911.0721 · pith_short_12: 3RZBRIAMQYU3 · pith_short_16: 3RZBRIAMQYU3EQPI · pith_short_8: 3RZBRIAM

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/3RZBRIAMQYU3EQPIY22B33PQ6X \
  | 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: dc7218a00c8629b241e8c6b41dedf0f5c18f52592a3f84d5f025d2658727ac8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6077ddb401e1700d500d77c15455ab6ec2b2789a457aa0b2fa95e551faffa30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-11-04T03:04:20Z",
    "title_canon_sha256": "a67acc49b834177bac9f30e088ebdb87f36dcb8a30efea3be3655ef17f25d22a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0721",
    "kind": "arxiv",
    "version": 2
  }
}