Pith Number

pith:UDJGSLXX

pith:2008:UDJGSLXXMLELHBX5PIUDRG6N2I

not attested not anchored not stored refs pending

The p-adic valuation of k-central binomial coefficients

Armin Straub, Tewodros Amdeberhan, Victor H. Moll

arxiv:0811.2028 v1 · 2008-11-13 · 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{UDJGSLXXMLELHBX5PIUDRG6N2I}

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	2026-05-18T02:15:21.319369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0d2692ef762c8b386fd7a28389bcdd20bf972d972fe6040f31a8534d7ea98af

Aliases

arxiv: 0811.2028 · arxiv_version: 0811.2028v1 · doi: 10.48550/arxiv.0811.2028 · pith_short_12: UDJGSLXXMLEL · pith_short_16: UDJGSLXXMLELHBX5 · pith_short_8: UDJGSLXX

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/UDJGSLXXMLELHBX5PIUDRG6N2I \
  | 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: a0d2692ef762c8b386fd7a28389bcdd20bf972d972fe6040f31a8534d7ea98af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6794d04d84d63be51e41ecf3655f547f5bac8b96a62996bc47650d740b730b25",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-11-13T04:04:55Z",
    "title_canon_sha256": "6316f7514a6f46f880513b6cc0708fb4a930c49a9619a27ba65d7887678e4066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2028",
    "kind": "arxiv",
    "version": 1
  }
}