Pith Number

pith:BE3NWT5Q

pith:2014:BE3NWT5QDG6CP4NXESPMOGZAWW

not attested not anchored not stored refs pending

On Probabilistic Proofs of Certain Binomial Identities

P. Vellaisamy

arxiv:1405.2399 v2 · 2014-05-10 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BE3NWT5QDG6CP4NXESPMOGZAWW}

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	2026-05-18T02:45:04.102189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0936db4fb019bc27f1b7249ec71b20b5b1d0b429879b241adc5ce28208f21f86

Aliases

arxiv: 1405.2399 · arxiv_version: 1405.2399v2 · doi: 10.48550/arxiv.1405.2399 · pith_short_12: BE3NWT5QDG6C · pith_short_16: BE3NWT5QDG6CP4NX · pith_short_8: BE3NWT5Q

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/BE3NWT5QDG6CP4NXESPMOGZAWW \
  | 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: 0936db4fb019bc27f1b7249ec71b20b5b1d0b429879b241adc5ce28208f21f86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adea47f6e8617354bbe47984dff9c58c97e556c8105126c152420f8c7fc0f7a2",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-05-10T06:37:00Z",
    "title_canon_sha256": "046965f20f7e202712e3ff45b4cab1bd78da28af7c913bd544888f260bf4390d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2399",
    "kind": "arxiv",
    "version": 2
  }
}