Pith Number

pith:VKTU3H3S

pith:2022:VKTU3H3SUJ3YVHOZ27V4RW7MQ5

not attested not anchored not stored refs pending

Zeros of a growing number of derivatives of random polynomials with independent roots

Marcus Michelen, Xuan-Truong Vu

arxiv:2212.11867 v1 · 2022-12-22 · math.PR · math.CA · math.CV

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKTU3H3SUJ3YVHOZ27V4RW7MQ5}

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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.

Cited by

1 paper in Pith

Roots of polynomials under repeated differentiation and repeated applications of fractional differential operators

Receipt and verification

First computed	2026-07-05T05:27:44.174456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa74d9f72a2778a9dd9d7ebc8dbec8743a0751b88ab80eb7c2328c62b6ef8a2

Aliases

arxiv: 2212.11867 · arxiv_version: 2212.11867v1 · doi: 10.48550/arxiv.2212.11867 · pith_short_12: VKTU3H3SUJ3Y · pith_short_16: VKTU3H3SUJ3YVHOZ · pith_short_8: VKTU3H3S

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/VKTU3H3SUJ3YVHOZ27V4RW7MQ5 \
  | 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: aaa74d9f72a2778a9dd9d7ebc8dbec8743a0751b88ab80eb7c2328c62b6ef8a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0334e07710facdf8342bf3d089fa1fc8f8203431f7246999fa9a422d4cc5614",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-12-22T17:01:56Z",
    "title_canon_sha256": "70cd0651cdf8d14dbfe67703e9b3e453cd459f282cbe8a97c7d4c9f3639841eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.11867",
    "kind": "arxiv",
    "version": 1
  }
}