Pith Number

pith:2IUVRPNR

pith:2011:2IUVRPNRSOG6HHCUXTFOLKLKEB

not attested not anchored not stored refs pending

The Abel-Zeilberger Algorithm

Hai-Tao Jin, Qing-Hu Hou, William Y. C. Chen

arxiv:1105.0178 v1 · 2011-05-01 · math.CA · 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{2IUVRPNRSOG6HHCUXTFOLKLKEB}

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	2026-05-18T04:23:12.375512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d22958bdb1938de39c54bccae5a96a205274da8eda0b1a4c1f46d26fc7735981

Aliases

arxiv: 1105.0178 · arxiv_version: 1105.0178v1 · doi: 10.48550/arxiv.1105.0178 · pith_short_12: 2IUVRPNRSOG6 · pith_short_16: 2IUVRPNRSOG6HHCU · pith_short_8: 2IUVRPNR

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/2IUVRPNRSOG6HHCUXTFOLKLKEB \
  | 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: d22958bdb1938de39c54bccae5a96a205274da8eda0b1a4c1f46d26fc7735981

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63730816b774e768df6bd4b8d379fc1489dc4f3a2d633b901b9be987e5ebdf64",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-01T15:29:55Z",
    "title_canon_sha256": "e8776d70d92e3650aa83fc619ddff38ee9164eca2f639903c7c22c2457912e59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0178",
    "kind": "arxiv",
    "version": 1
  }
}