Pith Number

pith:P47XMYZ4

pith:2012:P47XMYZ4HHXPLPL3AGUM5WMZ2I

not attested not anchored not stored refs pending

A generating function of the squares of Legendre polynomials

Wadim Zudilin

arxiv:1210.2493 v2 · 2012-10-09 · math.CA · math-ph · math.MP · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P47XMYZ4HHXPLPL3AGUM5WMZ2I}

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	2026-05-17T23:53:36.024100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f3f76633c39eef5bd7b01a8ced999d230e8d49776fab5454c9997978bf709d1

Aliases

arxiv: 1210.2493 · arxiv_version: 1210.2493v2 · doi: 10.48550/arxiv.1210.2493 · pith_short_12: P47XMYZ4HHXP · pith_short_16: P47XMYZ4HHXPLPL3 · pith_short_8: P47XMYZ4

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/P47XMYZ4HHXPLPL3AGUM5WMZ2I \
  | 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: 7f3f76633c39eef5bd7b01a8ced999d230e8d49776fab5454c9997978bf709d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dce33577dd31561b1c262186545526a79166af551e30203ec965a0ac23af2f7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-09T04:32:57Z",
    "title_canon_sha256": "ead89aa8c64d08964d3f02d2bbc2b307995cf20d736d75bc741ff0ea7b6f41ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2493",
    "kind": "arxiv",
    "version": 2
  }
}