Pith Number

pith:ZPG7I7KH

pith:2021:ZPG7I7KH6MOJFRVVGDIZWKMLFG

not attested not anchored not stored refs pending

On the dynamics of the roots of polynomials under differentiation

Omar Lazar, Quoc-Hung Nguyen, Thomas Alazard

arxiv:2104.06921 v2 · 2021-04-14 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPG7I7KH6MOJFRVVGDIZWKMLFG}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T03:44:53.091426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbcdf47d47f31c92c6b530d19b298b29b896d437213688d4093d933fa29d2ffa

Aliases

arxiv: 2104.06921 · arxiv_version: 2104.06921v2 · doi: 10.48550/arxiv.2104.06921 · pith_short_12: ZPG7I7KH6MOJ · pith_short_16: ZPG7I7KH6MOJFRVV · pith_short_8: ZPG7I7KH

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/ZPG7I7KH6MOJFRVVGDIZWKMLFG \
  | 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: cbcdf47d47f31c92c6b530d19b298b29b896d437213688d4093d933fa29d2ffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f1102e310602b45165f1e13bd3cdbbbce258f767b00ffeee35ed142a7f5d137",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-04-14T15:17:38Z",
    "title_canon_sha256": "84536ff1fbf607494243f6b8938da58eaf11ca09cf38de2b7b4c5809b4f73c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.06921",
    "kind": "arxiv",
    "version": 2
  }
}