Pith Number

pith:RNLVUUWP

pith:2010:RNLVUUWPHQ5TWY3IIYC5AQP3LG

not attested not anchored not stored refs pending

From $L$-series of elliptic curves to Mahler measures

Mathew Rogers, Wadim Zudilin

arxiv:1012.3036 v3 · 2010-12-14 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RNLVUUWPHQ5TWY3IIYC5AQP3LG}

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	2026-05-17T23:53:19.540618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b575a52cf3c3b3b63684605d041fb5991484a63f20761ba4c2bb0f1cc9b3db9

Aliases

arxiv: 1012.3036 · arxiv_version: 1012.3036v3 · doi: 10.48550/arxiv.1012.3036 · pith_short_12: RNLVUUWPHQ5T · pith_short_16: RNLVUUWPHQ5TWY3I · pith_short_8: RNLVUUWP

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/RNLVUUWPHQ5TWY3IIYC5AQP3LG \
  | 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: 8b575a52cf3c3b3b63684605d041fb5991484a63f20761ba4c2bb0f1cc9b3db9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "881c9d500f7928b6b084a85de7c5fd68955d7e2742ff36975b6ac8f23972cefb",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-14T14:15:31Z",
    "title_canon_sha256": "fc0a97a96efd50fbbb07a47333a34c87eed142c774e05e2087adf9a4a2773205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3036",
    "kind": "arxiv",
    "version": 3
  }
}