Pith Number

pith:MPFVCXLR

pith:2017:MPFVCXLRDDLANT7FISC5AYE6DB

not attested not anchored not stored refs pending

The Common Limit of the Linear Statistics of Zeros of Random Polynomials and Their Derivatives

Chih-Chung Chang, I-Shing Hu

arxiv:1701.03946 v1 · 2017-01-14 · 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{MPFVCXLRDDLANT7FISC5AYE6DB}

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	2026-05-18T00:52:48.331566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63cb515d7118d606cfe54485d0609e1858af978d3f22261adc0e170705ef8cc3

Aliases

arxiv: 1701.03946 · arxiv_version: 1701.03946v1 · doi: 10.48550/arxiv.1701.03946 · pith_short_12: MPFVCXLRDDLA · pith_short_16: MPFVCXLRDDLANT7F · pith_short_8: MPFVCXLR

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/MPFVCXLRDDLANT7FISC5AYE6DB \
  | 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: 63cb515d7118d606cfe54485d0609e1858af978d3f22261adc0e170705ef8cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b86b0c51367c308d3aeed01e5ac348a2da1c9ad86d8af5a5eb345d62f4fda980",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-14T16:44:02Z",
    "title_canon_sha256": "c4213e53a7d2d8ec43114cb708665e79f985c132845f82ce3a36fb6b20c87520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03946",
    "kind": "arxiv",
    "version": 1
  }
}