Pith Number

pith:UROQ3T7S

pith:2015:UROQ3T7SP7QAMYWV3LPH5F6HYI

not attested not anchored not stored refs pending

The C-finite Ansatz Meets the Holonomic Ansatz

Doron Zeilberger, Shalosh B. Ekhad

arxiv:1512.06902 v1 · 2015-12-21 · 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{UROQ3T7SP7QAMYWV3LPH5F6HYI}

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	2026-05-18T01:23:53.516837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a45d0dcff27fe00662d5dade7e97c7c207143c4ae3405fade4df6a6536a00f3b

Aliases

arxiv: 1512.06902 · arxiv_version: 1512.06902v1 · doi: 10.48550/arxiv.1512.06902 · pith_short_12: UROQ3T7SP7QA · pith_short_16: UROQ3T7SP7QAMYWV · pith_short_8: UROQ3T7S

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/UROQ3T7SP7QAMYWV3LPH5F6HYI \
  | 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: a45d0dcff27fe00662d5dade7e97c7c207143c4ae3405fade4df6a6536a00f3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5136068d8cbe9d5dfbaf3f912d649b867564eeecc41baaed47e84b6b9aefc717",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-21T22:54:01Z",
    "title_canon_sha256": "432141fba67bd1548d6b6b7b0843aa86636fcb6724cf1016565eb8afb05da511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06902",
    "kind": "arxiv",
    "version": 1
  }
}