Pith Number

pith:GX7O5W6Z

pith:2004:GX7O5W6ZLMJLFYY6P2KDCXPAMF

not attested not anchored not stored refs pending

Binomial Coefficients and Quadratic Fields

Zhi-Wei Sun

arxiv:math/0401228 v2 · 2004-01-19 · math.NT · 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{GX7O5W6ZLMJLFYY6P2KDCXPAMF}

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	2026-07-04T14:38:10.243234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35feeedbd95b12b2e31e7e94315de06172818660bb63185ba8b119b3f97dae11

Aliases

arxiv: math/0401228 · arxiv_version: math/0401228v2 · doi: 10.48550/arxiv.math/0401228 · pith_short_12: GX7O5W6ZLMJL · pith_short_16: GX7O5W6ZLMJLFYY6 · pith_short_8: GX7O5W6Z

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/GX7O5W6ZLMJLFYY6P2KDCXPAMF \
  | 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: 35feeedbd95b12b2e31e7e94315de06172818660bb63185ba8b119b3f97dae11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cabaf55d4f02d62dd45400967dbbe33d7e1927d90dbe42ce7a05b63c0c66d6f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-01-19T14:09:28Z",
    "title_canon_sha256": "d6d1fc5fc8e26f2cedbfc855f63b9e79166d65895bdac66517e17462b8f2907c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401228",
    "kind": "arxiv",
    "version": 2
  }
}