Pith Number

pith:W4PNFH2B

pith:2011:W4PNFH2B4QF7J5IJJMVUVF3CB2

not attested not anchored not stored refs pending

The distribution of zeros of the derivative of a random polynomial

Igor Rivin, Robin Pemantle

arxiv:1109.5975 v1 · 2011-09-27 · math.PR · hep-th · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4PNFH2B4QF7J5IJJMVUVF3CB2}

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	2026-05-18T04:12:09.976642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b71ed29f41e40bf4f5094b2b4a97620eb712deea7e3f9988d3d51603db86f40a

Aliases

arxiv: 1109.5975 · arxiv_version: 1109.5975v1 · doi: 10.48550/arxiv.1109.5975 · pith_short_12: W4PNFH2B4QF7 · pith_short_16: W4PNFH2B4QF7J5IJ · pith_short_8: W4PNFH2B

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/W4PNFH2B4QF7J5IJJMVUVF3CB2 \
  | 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: b71ed29f41e40bf4f5094b2b4a97620eb712deea7e3f9988d3d51603db86f40a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b4566a8cefe67fd090d82c950ef0422cb26bba98a67e601512314e0205cc2e5",
    "cross_cats_sorted": [
      "hep-th",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-27T17:32:24Z",
    "title_canon_sha256": "2d714ddd3ad70e6606c05cdd6611404da4e271f2fc3e9ed9c43cf88178dee4b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5975",
    "kind": "arxiv",
    "version": 1
  }
}