Pith Number

pith:7F3PTRSH

pith:2017:7F3PTRSH7L6EQL4DZNGADR3SE2

not attested not anchored not stored refs pending

On global universality for zeros of random polynomials

Turgay Bayraktar

arxiv:1709.07621 v2 · 2017-09-22 · math.CV · 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{7F3PTRSH7L6EQL4DZNGADR3SE2}

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	2026-05-18T00:16:50.542297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f976f9c647fafc482f83cb4c01c77226aec2f6cbf3bc161ffbe2afff76592bcb

Aliases

arxiv: 1709.07621 · arxiv_version: 1709.07621v2 · doi: 10.48550/arxiv.1709.07621 · pith_short_12: 7F3PTRSH7L6E · pith_short_16: 7F3PTRSH7L6EQL4D · pith_short_8: 7F3PTRSH

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/7F3PTRSH7L6EQL4DZNGADR3SE2 \
  | 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: f976f9c647fafc482f83cb4c01c77226aec2f6cbf3bc161ffbe2afff76592bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6e9d757b3c8362fcb6c9d2ac719019bdf012bf410d5494f52d5067e67195d15",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-09-22T07:49:35Z",
    "title_canon_sha256": "f5f896a0f5487e98c53dfe0d8b810605065802b941a39e29f5842104e73a3844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07621",
    "kind": "arxiv",
    "version": 2
  }
}