Pith Number

pith:RHXLFGUS

pith:2011:RHXLFGUSIKAD4BZNOG2A56RBMR

not attested not anchored not stored refs pending

A probabilistic approach to some binomial identities

Christophe Vignat, Victor H. Moll

arxiv:1111.3732 v1 · 2011-11-16 · 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{RHXLFGUSIKAD4BZNOG2A56RBMR}

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	2026-05-18T04:08:13.170895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89eeb29a9242803e072d71b40efa21647e3110260ea41a724ffefc79ece6a4d0

Aliases

arxiv: 1111.3732 · arxiv_version: 1111.3732v1 · doi: 10.48550/arxiv.1111.3732 · pith_short_12: RHXLFGUSIKAD · pith_short_16: RHXLFGUSIKAD4BZN · pith_short_8: RHXLFGUS

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/RHXLFGUSIKAD4BZNOG2A56RBMR \
  | 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: 89eeb29a9242803e072d71b40efa21647e3110260ea41a724ffefc79ece6a4d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27b15ef4c52377fe58b178d6d0414a53aec47ce2c340c688efde811a4a9ac64d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-16T09:12:48Z",
    "title_canon_sha256": "90288f297459a8badf52cd022ad399593271e29c3c506df64a171b926ad025a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3732",
    "kind": "arxiv",
    "version": 1
  }
}