Pith Number

pith:5XWE3XV2

pith:2012:5XWE3XV254O5A5XHW2IEJSIK6R

not attested not anchored not stored refs pending

On the Existence of Telescopers for Mixed Hypergeometric Terms

Fr\'ed\'eric Chyzak, Guofeng Fu, Ruyong Feng, Shaoshi Chen, Ziming Li

arxiv:1211.2430 v2 · 2012-11-11 · cs.SC · 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{5XWE3XV254O5A5XHW2IEJSIK6R}

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	2026-05-18T03:41:00.759629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edec4ddebaef1dd076e7b69044c90af474bba0024b234163500b9ff99446447a

Aliases

arxiv: 1211.2430 · arxiv_version: 1211.2430v2 · doi: 10.48550/arxiv.1211.2430 · pith_short_12: 5XWE3XV254O5 · pith_short_16: 5XWE3XV254O5A5XH · pith_short_8: 5XWE3XV2

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/5XWE3XV254O5A5XHW2IEJSIK6R \
  | 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: edec4ddebaef1dd076e7b69044c90af474bba0024b234163500b9ff99446447a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f52f5839bca8403c5242506c103a3a839bf2d48a564f994427a3a3341e6d06e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2012-11-11T15:09:59Z",
    "title_canon_sha256": "176461b297d66888a52c61612f46cdea4e2b8affef5e4a7fb02beeffb0899536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2430",
    "kind": "arxiv",
    "version": 2
  }
}