Pith Number

pith:5YWNQ3B2

pith:2016:5YWNQ3B2DCGEB2QGCVST7PSY5E

not attested not anchored not stored refs pending

Convergence to the Mahler measure and the distribution of periodic points for algebraic Noetherian $\mathbb{Z}^d$-actions

Vesselin Dimitrov

arxiv:1611.04664 v2 · 2016-11-15 · math.DS · 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{5YWNQ3B2DCGEB2QGCVST7PSY5E}

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	2026-05-18T00:53:39.803940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee2cd86c3a188c40ea0615653fbe58e91b9332af082c1489b0ee3ea2e1de3770

Aliases

arxiv: 1611.04664 · arxiv_version: 1611.04664v2 · doi: 10.48550/arxiv.1611.04664 · pith_short_12: 5YWNQ3B2DCGE · pith_short_16: 5YWNQ3B2DCGEB2QG · pith_short_8: 5YWNQ3B2

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/5YWNQ3B2DCGEB2QGCVST7PSY5E \
  | 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: ee2cd86c3a188c40ea0615653fbe58e91b9332af082c1489b0ee3ea2e1de3770

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aefc30d0645e39033684501949464536c0171e388448f342bffc827341848475",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-15T01:13:18Z",
    "title_canon_sha256": "e4701294915d0a31973ebe6db8a167753bf06b065af6436e8f4901ad5c8d6c32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04664",
    "kind": "arxiv",
    "version": 2
  }
}