Pith Number

pith:HQZ4A5J3

pith:2013:HQZ4A5J3TAYEAWBXGPVYMLAFLO

not attested not anchored not stored refs pending

Root Statistics of Random Polynomials with Bounded Mahler Measure

Christopher D. Sinclair, Maxim L. Yattselev

arxiv:1307.4128 v1 · 2013-07-15 · math-ph · math.MP · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQZ4A5J3TAYEAWBXGPVYMLAFLO}

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	2026-05-18T01:37:38.014013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c33c0753b983040583733eb862c055b84a59cb60ba415bef5fe3f97963d9dd6

Aliases

arxiv: 1307.4128 · arxiv_version: 1307.4128v1 · doi: 10.48550/arxiv.1307.4128 · pith_short_12: HQZ4A5J3TAYE · pith_short_16: HQZ4A5J3TAYEAWBX · pith_short_8: HQZ4A5J3

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/HQZ4A5J3TAYEAWBXGPVYMLAFLO \
  | 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: 3c33c0753b983040583733eb862c055b84a59cb60ba415bef5fe3f97963d9dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fc8340723915675d791678c43caf4b3411a33a3c477d569f409014001cea797",
    "cross_cats_sorted": [
      "math.MP",
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-15T22:57:21Z",
    "title_canon_sha256": "431ceef70882c2f03964c3b692813f2ae0bba4b8754b522f9bc7570df7f9dd76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4128",
    "kind": "arxiv",
    "version": 1
  }
}