Pith Number

pith:Q53QLLPQ

pith:2014:Q53QLLPQSJ66MPGHHK5YSAQW3G

not attested not anchored not stored refs pending

Proof of a conjecture related to divisibility properties of binomial coefficients

Quan-Hui Yang

arxiv:1401.1108 v2 · 2014-01-06 · 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{Q53QLLPQSJ66MPGHHK5YSAQW3G}

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	2026-05-18T02:26:13.003541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

877705adf0927de63cc73abb890216d9b48d06431a54a4df5b40941f9e3c1349

Aliases

arxiv: 1401.1108 · arxiv_version: 1401.1108v2 · doi: 10.48550/arxiv.1401.1108 · pith_short_12: Q53QLLPQSJ66 · pith_short_16: Q53QLLPQSJ66MPGH · pith_short_8: Q53QLLPQ

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/Q53QLLPQSJ66MPGHHK5YSAQW3G \
  | 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: 877705adf0927de63cc73abb890216d9b48d06431a54a4df5b40941f9e3c1349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffcf420c676e780f3d0a372fb4f437d0b672cafd9725025da83877c98185e1dd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-06T15:06:48Z",
    "title_canon_sha256": "4483cc1ff1fe0b9b540aa4aea2cbc0b7ec268c6a696f1468e18b7873aaf6f903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1108",
    "kind": "arxiv",
    "version": 2
  }
}