Pith Number

pith:YOFBUQOL

pith:2005:YOFBUQOLPBCK3A6LREHF5OKLT2

not attested not anchored not stored refs pending

Proof of a conjecture of Polya on the zeros of successive derivatives of real entire functions

Alexandre Eremenko, Walter Bergweiler

arxiv:math/0510502 v2 · 2005-10-24 · math.CV · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOFBUQOLPBCK3A6LREHF5OKLT2}

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	2026-05-18T00:26:40.714907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38a1a41cb7844ad83cb890e5eb94b9eafe277d20e2c8badf2c0659bca6e56ed

Aliases

arxiv: math/0510502 · arxiv_version: math/0510502v2 · doi: 10.48550/arxiv.math/0510502 · pith_short_12: YOFBUQOLPBCK · pith_short_16: YOFBUQOLPBCK3A6L · pith_short_8: YOFBUQOL

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/YOFBUQOLPBCK3A6LREHF5OKLT2 \
  | 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: c38a1a41cb7844ad83cb890e5eb94b9eafe277d20e2c8badf2c0659bca6e56ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d37086b6e9b72f1371c6ac96db153be2a6791e0ef7a51ade3af58a4b9434acbe",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2005-10-24T14:45:41Z",
    "title_canon_sha256": "008f38da1b0962f3133fe4f2a4a1167cc73ba7dfa248c23b35d4bee9e49a35c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510502",
    "kind": "arxiv",
    "version": 2
  }
}