Pith Number

pith:BIO2XPML

pith:2019:BIO2XPMLNAWGZKCQT6UWDWI3CZ

not attested not anchored not stored refs pending

Some parametric congruences involving generalized central trinomial coefficients

Chen Wang, Zhi-Wei Sun

arxiv:1910.06850 v3 · 2019-10-15 · 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{BIO2XPMLNAWGZKCQT6UWDWI3CZ}

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	2026-07-05T04:49:27.940411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a1dabbd8b682c6ca8509fa961d91b167069c38138e74e0c7d44b5aa2cd7f87f

Aliases

arxiv: 1910.06850 · arxiv_version: 1910.06850v3 · doi: 10.48550/arxiv.1910.06850 · pith_short_12: BIO2XPMLNAWG · pith_short_16: BIO2XPMLNAWGZKCQ · pith_short_8: BIO2XPML

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/BIO2XPMLNAWGZKCQT6UWDWI3CZ \
  | 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: 0a1dabbd8b682c6ca8509fa961d91b167069c38138e74e0c7d44b5aa2cd7f87f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44f841939036e7b39250d542f4157ba419b458ec26abd9ef925b6a06b042d356",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-10-15T15:10:36Z",
    "title_canon_sha256": "5dab35f11de5556c63a83b7b967df4387eb3cb4a3ec7d65e41fdea2e8e7f10c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.06850",
    "kind": "arxiv",
    "version": 3
  }
}