Pith Number

pith:TC3P2243

pith:2019:TC3P2243EFJDZ5A2BUE7BPPWHT

not attested not anchored not stored refs pending

Zeros of repeated derivatives of random polynomials

Dong Yao, Renjie Feng

arxiv:1908.00730 v1 · 2019-08-02 · 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{TC3P2243EFJDZ5A2BUE7BPPWHT}

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	2026-07-04T23:51:08.966758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98b6fd6b9b21523cf41a0d09f0bdf63cfb33b5f3c3afccf39aff2ccdda711251

Aliases

arxiv: 1908.00730 · arxiv_version: 1908.00730v1 · doi: 10.48550/arxiv.1908.00730 · pith_short_12: TC3P2243EFJD · pith_short_16: TC3P2243EFJDZ5A2 · pith_short_8: TC3P2243

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/TC3P2243EFJDZ5A2BUE7BPPWHT \
  | 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: 98b6fd6b9b21523cf41a0d09f0bdf63cfb33b5f3c3afccf39aff2ccdda711251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1694b40bcaedf331c3da73b289658256dd1efe5d85d02abca79c7599d720b111",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-02T07:42:12Z",
    "title_canon_sha256": "8008af7921521e610f500a6749f020a0cc4b9fbb913648fb8400b1066a20072e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00730",
    "kind": "arxiv",
    "version": 1
  }
}