Pith Number

pith:Z6ANZZVM

pith:2025:Z6ANZZVMYOJB7SBH7EIPKPQZKC

not attested not anchored not stored refs pending

Asymptotic root distribution of polynomials under repeated polar differentiation

Daniel Perales, Zhiyuan Yang

arxiv:2508.18575 v1 · 2025-08-26 · math.PR · math.CO · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6ANZZVMYOJB7SBH7EIPKPQZKC}

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	2026-07-05T11:59:27.008006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf80dce6acc3921fc827f910f53e195099cdcea5c966b534bbd3c7f67d27f432

Aliases

arxiv: 2508.18575 · arxiv_version: 2508.18575v1 · doi: 10.48550/arxiv.2508.18575 · pith_short_12: Z6ANZZVMYOJB · pith_short_16: Z6ANZZVMYOJB7SBH · pith_short_8: Z6ANZZVM

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/Z6ANZZVMYOJB7SBH7EIPKPQZKC \
  | 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: cf80dce6acc3921fc827f910f53e195099cdcea5c966b534bbd3c7f67d27f432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fef9636b94f02fb772b2ef6df50a3af66908073a9620573eaf511a0a0839ef5e",
    "cross_cats_sorted": [
      "math.CO",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-26T00:38:46Z",
    "title_canon_sha256": "f40c0d5edf5610f85aa163df79f60146f747241cf35810fa72bb36167fedfc5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.18575",
    "kind": "arxiv",
    "version": 1
  }
}