Pith Number

pith:S3CKHVVU

pith:2012:S3CKHVVUJ37LR2Q6O5PHLQ5JSH

not attested not anchored not stored refs pending

Distance k-graphs of hypercube and q-Hermite polynomials

Hun Hee Lee, Nobuaki Obata

arxiv:1208.3792 v1 · 2012-08-18 · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S3CKHVVUJ37LR2Q6O5PHLQ5JSH}

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	2026-05-18T03:48:26.213122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96c4a3d6b44efeb8ea1e775e75c3a991e4314ed45e289b5d9dc28aa6c0d24b84

Aliases

arxiv: 1208.3792 · arxiv_version: 1208.3792v1 · doi: 10.48550/arxiv.1208.3792 · pith_short_12: S3CKHVVUJ37L · pith_short_16: S3CKHVVUJ37LR2Q6 · pith_short_8: S3CKHVVU

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/S3CKHVVUJ37LR2Q6O5PHLQ5JSH \
  | 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: 96c4a3d6b44efeb8ea1e775e75c3a991e4314ed45e289b5d9dc28aa6c0d24b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbc87b068f01f82fd7b5615610b4f2cdf037ea37bd4489cda7eabe60aebdb374",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-08-18T22:55:26Z",
    "title_canon_sha256": "8434aeddd96d57a87b7824abe52f16f4119c452acca388c132c9b32146ae6054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3792",
    "kind": "arxiv",
    "version": 1
  }
}