Pith Number

pith:ZOPJOTEL

pith:1998:ZOPJOTEL27HX7V2HM6TATAPFFQ

not attested not anchored not stored refs pending

Aufgabe VII.47 of Polya-Szego Implies Robbins's Multi-Integral Evaluation

Doron Zeilberger (Temple University)

arxiv:math/9805137 v1 · 1998-05-28 · 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{ZOPJOTEL27HX7V2HM6TATAPFFQ}

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	2026-05-18T01:05:33.986440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb9e974c8bd7cf7fd74767a60981e52c293afd84247906feb8a8c588077bfedd

Aliases

arxiv: math/9805137 · arxiv_version: math/9805137v1 · doi: 10.48550/arxiv.math/9805137 · pith_short_12: ZOPJOTEL27HX · pith_short_16: ZOPJOTEL27HX7V2H · pith_short_8: ZOPJOTEL

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/ZOPJOTEL27HX7V2HM6TATAPFFQ \
  | 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: cb9e974c8bd7cf7fd74767a60981e52c293afd84247906feb8a8c588077bfedd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "953bfb879659a27919218deed270a733c42d24c354d15b2e5b329836eb5d5f09",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1998-05-28T23:00:30Z",
    "title_canon_sha256": "7cc1aef10063c605169922d58d6cf77586ec975272b9d51f0d64eb5008effaf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9805137",
    "kind": "arxiv",
    "version": 1
  }
}