Pith Number

pith:7KEUQ56K

pith:2002:7KEUQ56KZGG5KFHOPIN4WHGMSC

not attested not anchored not stored refs pending

Average norms of polynomials

T. Mansour

arxiv:math/0212344 v1 · 2002-12-26 · 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{7KEUQ56KZGG5KFHOPIN4WHGMSC}

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	2026-05-18T01:05:29.162233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa894877cac98dd514ee7a1bcb1ccc909b7d1ab6efbd2670002b5ff74dd02238

Aliases

arxiv: math/0212344 · arxiv_version: math/0212344v1 · doi: 10.48550/arxiv.math/0212344 · pith_short_12: 7KEUQ56KZGG5 · pith_short_16: 7KEUQ56KZGG5KFHO · pith_short_8: 7KEUQ56K

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/7KEUQ56KZGG5KFHOPIN4WHGMSC \
  | 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: fa894877cac98dd514ee7a1bcb1ccc909b7d1ab6efbd2670002b5ff74dd02238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36773d2d1ef1ac57aba4ea3bc4fe18b8522bb42a997a8903ea1042956a3fe014",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2002-12-26T15:48:43Z",
    "title_canon_sha256": "191147ed623e638f618faf6c73f3e979fd2344814fe273f95d3f9147fc2a9943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212344",
    "kind": "arxiv",
    "version": 1
  }
}