Pith Number

pith:OATRZVJG

pith:2011:OATRZVJG2KDDDHCICH2EWBOQTI

not attested not anchored not stored refs pending

A spectral equivalent condition of the $P$-polynomial property for association schemes

Hiroshi Nozaki, Hirotake Kurihara

arxiv:1110.4975 v3 · 2011-10-22 · 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{OATRZVJG2KDDDHCICH2EWBOQTI}

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	2026-05-18T02:47:23.346706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70271cd526d286319c4811f44b05d09a27406fe62d430cf3295d96d909316f3f

Aliases

arxiv: 1110.4975 · arxiv_version: 1110.4975v3 · doi: 10.48550/arxiv.1110.4975 · pith_short_12: OATRZVJG2KDD · pith_short_16: OATRZVJG2KDDDHCI · pith_short_8: OATRZVJG

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/OATRZVJG2KDDDHCICH2EWBOQTI \
  | 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: 70271cd526d286319c4811f44b05d09a27406fe62d430cf3295d96d909316f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cece660da147cad2a7ef84f73609f94fff265536894025badd44a37a3374d7ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-22T14:57:25Z",
    "title_canon_sha256": "cd4051876953626d37746698ffdecb90819b695bada3ab2069a7903176e41864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4975",
    "kind": "arxiv",
    "version": 3
  }
}