Pith Number

pith:WWLQ26MP

pith:2013:WWLQ26MPIXPRUQINMCBFESABCA

not attested not anchored not stored refs pending

Proof of Sun's conjecture on the divisibility of certain binomial sums

Victor J. W. Guo

arxiv:1301.4877 v1 · 2013-01-21 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWLQ26MPIXPRUQINMCBFESABCA}

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	2026-05-18T03:35:55.284410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5970d798f45df1a410d6082524801103f84c72bcd37867bca1b45978ca78184

Aliases

arxiv: 1301.4877 · arxiv_version: 1301.4877v1 · doi: 10.48550/arxiv.1301.4877 · pith_short_12: WWLQ26MPIXPR · pith_short_16: WWLQ26MPIXPRUQIN · pith_short_8: WWLQ26MP

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/WWLQ26MPIXPRUQINMCBFESABCA \
  | 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: b5970d798f45df1a410d6082524801103f84c72bcd37867bca1b45978ca78184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fce54206f37ef4519b18a92c1873fbe6c6b83f3aa7a14e6e3d657881a6beb6c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-21T14:39:37Z",
    "title_canon_sha256": "36a9b5cf49595c1203d85d68ba62e204b3cedcd55ff8cbeb14e5d26a66e35563"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4877",
    "kind": "arxiv",
    "version": 1
  }
}