Pith Number

pith:6M2CJC32

pith:2015:6M2CJC32ULOWV6PE5Z3WCAK5ZU

not attested not anchored not stored refs pending

On the Mahler measure associated to $X_1(13)$

Fran\c{c}ois Brunault

arxiv:1503.04631 v2 · 2015-03-16 · 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{6M2CJC32ULOWV6PE5Z3WCAK5ZU}

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	2026-05-18T01:20:20.779741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f334248b7aa2dd6af9e4ee7761015dcd076bf7a7ca6d52ed63a714c0b491624a

Aliases

arxiv: 1503.04631 · arxiv_version: 1503.04631v2 · doi: 10.48550/arxiv.1503.04631 · pith_short_12: 6M2CJC32ULOW · pith_short_16: 6M2CJC32ULOWV6PE · pith_short_8: 6M2CJC32

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/6M2CJC32ULOWV6PE5Z3WCAK5ZU \
  | 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: f334248b7aa2dd6af9e4ee7761015dcd076bf7a7ca6d52ed63a714c0b491624a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17609dbd8bf39940da2cc93766266fcabb8391fd4eae8d99edb4ed7c4e1e09f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-16T12:59:15Z",
    "title_canon_sha256": "a0411ddb23b3bcaddc431205c0ce50f6345191d82b903e3f17835387a96211ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04631",
    "kind": "arxiv",
    "version": 2
  }
}