Pith Number

pith:3DUCOVSC

pith:2010:3DUCOVSCW4SI2W3Y4VOBDDJP34

not attested not anchored not stored refs pending

New congruences for sums involving Apery numbers or central Delannoy numbers

Jiang Zeng, Victor J. W. Guo

arxiv:1008.2894 v3 · 2010-08-17 · 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{3DUCOVSCW4SI2W3Y4VOBDDJP34}

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	2026-05-18T03:55:00.602229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8e8275642b7248d5b78e55c118d2fdf14523e8620c60e986a25ef4b15370118

Aliases

arxiv: 1008.2894 · arxiv_version: 1008.2894v3 · doi: 10.48550/arxiv.1008.2894 · pith_short_12: 3DUCOVSCW4SI · pith_short_16: 3DUCOVSCW4SI2W3Y · pith_short_8: 3DUCOVSC

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/3DUCOVSCW4SI2W3Y4VOBDDJP34 \
  | 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: d8e8275642b7248d5b78e55c118d2fdf14523e8620c60e986a25ef4b15370118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca244957db69265539ca3fb61f3665eb8c3367e7b1991e89c32205a25fd189ae",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-17T13:41:05Z",
    "title_canon_sha256": "40f887f481943428638ae0b12c8dc5ac2ed77e353b3dc9d8fcb0c6776980f568"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2894",
    "kind": "arxiv",
    "version": 3
  }
}