Pith Number

pith:43YPT5AA

pith:2021:43YPT5AA3RH6XA644Q5PCRX3DX

not attested not anchored not stored refs pending

New data structure for univariate polynomial approximation and applications to root isolation, numerical multipoint evaluation, and other problems

Guillaume Moroz (GAMBLE)

arxiv:2106.02505 v4 · 2021-06-04 · cs.SC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43YPT5AA3RH6XA644Q5PCRX3DX}

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

Beyond Worst-Case Analysis for Symbolic Computation: Root Isolation Algorithms

Receipt and verification

First computed	2026-07-05T03:35:49.674938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6f0f9f400dc4feb83dce43af146fb1dddc4b47b62e579fef9f771c50eac39dc

Aliases

arxiv: 2106.02505 · arxiv_version: 2106.02505v4 · doi: 10.48550/arxiv.2106.02505 · pith_short_12: 43YPT5AA3RH6 · pith_short_16: 43YPT5AA3RH6XA64 · pith_short_8: 43YPT5AA

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/43YPT5AA3RH6XA644Q5PCRX3DX \
  | 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: e6f0f9f400dc4feb83dce43af146fb1dddc4b47b62e579fef9f771c50eac39dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee41e3a81c408fe04fdd87e749c69b0a47f11244235fbb0874df7b7e96a6763a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2021-06-04T14:20:05Z",
    "title_canon_sha256": "7c5eb978f0680229b68fa0914492a119d02ab80072d19eedbff228702e7b5a34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02505",
    "kind": "arxiv",
    "version": 4
  }
}