Pith Number

pith:EFWLDHBB

pith:2010:EFWLDHBBXNANZJXDNH7KYB6YKD

not attested not anchored not stored refs pending

On quasi-thin association schemes

I. Ponomarenko, M. Muzychuk

arxiv:1010.4450 v1 · 2010-10-21 · 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{EFWLDHBBXNANZJXDNH7KYB6YKD}

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	2026-05-18T04:38:58.627054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

216cb19c21bb40dca6e369feac07d850d90a6cb1d7e3dee36f817083aa72a6e9

Aliases

arxiv: 1010.4450 · arxiv_version: 1010.4450v1 · doi: 10.48550/arxiv.1010.4450 · pith_short_12: EFWLDHBBXNAN · pith_short_16: EFWLDHBBXNANZJXD · pith_short_8: EFWLDHBB

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/EFWLDHBBXNANZJXDNH7KYB6YKD \
  | 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: 216cb19c21bb40dca6e369feac07d850d90a6cb1d7e3dee36f817083aa72a6e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b38d4a16a79645e1586406bc2b32926d6e90926997dd6535b486a6c24569ac44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-21T12:16:40Z",
    "title_canon_sha256": "a8153560832d7f7f3435a74f9c323c68b95495950f1fcf723f8620cc2f07dced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4450",
    "kind": "arxiv",
    "version": 1
  }
}