Pith Number

pith:MWLLPQTO

pith:2013:MWLLPQTO4KJIRMQC6BS5UCCT23

not attested not anchored not stored refs pending

Moments of elliptic integrals and critical $L$-values

I. J. Zucker, J. G. Wan, M. Rogers

arxiv:1303.2259 v2 · 2013-03-09 · 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{MWLLPQTO4KJIRMQC6BS5UCCT23}

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	2026-05-18T03:27:53.873043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6596b7c26ee29288b202f065da0853d6ff8a9f0c04940a2548382df6e03fe954

Aliases

arxiv: 1303.2259 · arxiv_version: 1303.2259v2 · doi: 10.48550/arxiv.1303.2259 · pith_short_12: MWLLPQTO4KJI · pith_short_16: MWLLPQTO4KJIRMQC · pith_short_8: MWLLPQTO

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/MWLLPQTO4KJIRMQC6BS5UCCT23 \
  | 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: 6596b7c26ee29288b202f065da0853d6ff8a9f0c04940a2548382df6e03fe954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18ff9764239631a7902455bc9cd804b7752e6968e5ebbfbcdfbd5192e1eca405",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-09T19:30:08Z",
    "title_canon_sha256": "3a5500e47eaaf2735bee95475408009e4b562b774172770d5c28f76c84018049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2259",
    "kind": "arxiv",
    "version": 2
  }
}