Pith Number

pith:3U65LNOJ

pith:2013:3U65LNOJWHX7MTEZPYJQ6MTRGI

not attested not anchored not stored refs pending

Limit laws of the coefficients of polynomials with only unit roots

Hsien-Kuei Hwang, Vytas Zacharovas

arxiv:1301.2021 v1 · 2013-01-10 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3U65LNOJWHX7MTEZPYJQ6MTRGI}

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	2026-05-18T03:36:48.487606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd3dd5b5c9b1eff64c997e130f3271321ab4ff532248ad2c02bd0c7c741298b8

Aliases

arxiv: 1301.2021 · arxiv_version: 1301.2021v1 · doi: 10.48550/arxiv.1301.2021 · pith_short_12: 3U65LNOJWHX7 · pith_short_16: 3U65LNOJWHX7MTEZ · pith_short_8: 3U65LNOJ

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/3U65LNOJWHX7MTEZPYJQ6MTRGI \
  | 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: dd3dd5b5c9b1eff64c997e130f3271321ab4ff532248ad2c02bd0c7c741298b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "271707d1af1804c8ac6b703e92544a858d9fababd0df06573087ec1f8b910f78",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-10T03:14:44Z",
    "title_canon_sha256": "80b5c3a82505fce607898db6c2d0166bcd5829069ef30768fce5f137ab480f3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2021",
    "kind": "arxiv",
    "version": 1
  }
}