Pith Number

pith:BWNGI527

pith:2004:BWNGI527VFJPD3EIBGNCIGWSEZ

not attested not anchored not stored refs pending

Sums of squares of binomial coefficients, with applications to Picard-Fuchs equations

H. A. Verrill

arxiv:math/0407327 v1 · 2004-07-19 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWNGI527VFJPD3EIBGNCIGWSEZ}

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	2026-07-04T14:38:56.201144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d9a64775fa952f1ec88099a241ad22648daf2c16c80b99b0c52f87c8b5ebd37

Aliases

arxiv: math/0407327 · arxiv_version: math/0407327v1 · doi: 10.48550/arxiv.math/0407327 · pith_short_12: BWNGI527VFJP · pith_short_16: BWNGI527VFJPD3EI · pith_short_8: BWNGI527

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/BWNGI527VFJPD3EIBGNCIGWSEZ \
  | 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: 0d9a64775fa952f1ec88099a241ad22648daf2c16c80b99b0c52f87c8b5ebd37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3d5bfa749727987e547d90cdaab5fa20322a710d24b0ba76aa7dc5c1408af88",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-07-19T17:43:03Z",
    "title_canon_sha256": "666d96f26eeec59fbe00aeb256cc6b93ef769f3939bf200967dd9a6bc57ba7d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407327",
    "kind": "arxiv",
    "version": 1
  }
}