Pith Number

pith:S5J4WAGL

pith:2011:S5J4WAGL5FRMLO6OXVHKGTG5D7

not attested not anchored not stored refs pending

Moments of Products of Elliptic Integrals

James Wan

arxiv:1101.1132 v1 · 2011-01-06 · math.CA · 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{S5J4WAGL5FRMLO6OXVHKGTG5D7}

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	2026-05-18T04:32:00.459396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9753cb00cbe962c5bbcebd4ea34cdd1fdb1a3604e99d29f3463c25609369ffb1

Aliases

arxiv: 1101.1132 · arxiv_version: 1101.1132v1 · doi: 10.48550/arxiv.1101.1132 · pith_short_12: S5J4WAGL5FRM · pith_short_16: S5J4WAGL5FRMLO6O · pith_short_8: S5J4WAGL

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/S5J4WAGL5FRMLO6OXVHKGTG5D7 \
  | 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: 9753cb00cbe962c5bbcebd4ea34cdd1fdb1a3604e99d29f3463c25609369ffb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c4f322a6e7531563433e1038119224a1391b465e4fb4992989b29ad9dd4b07",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-01-06T03:26:20Z",
    "title_canon_sha256": "a4e9f8ba40e94239b8d04eca15599da1cb2721162a7f48baa96f2ec7ff67c507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1132",
    "kind": "arxiv",
    "version": 1
  }
}