Pith Number

pith:YVWRS52R

pith:2011:YVWRS52R7LWBQAEPN3RUQVIFD3

not attested not anchored not stored refs pending

When Newton meets Descartes: A Simple and Fast Algorithm to Isolate the Real Roots of a Polynomial

Michael Sagraloff

arxiv:1109.6279 v1 · 2011-09-28 · cs.SC · cs.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{YVWRS52R7LWBQAEPN3RUQVIFD3}

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	2026-05-18T04:12:09.408322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c56d197751faec18008f6ee34855051ec8bd93201ee9f838b72e0bb9c052e7a4

Aliases

arxiv: 1109.6279 · arxiv_version: 1109.6279v1 · doi: 10.48550/arxiv.1109.6279 · pith_short_12: YVWRS52R7LWB · pith_short_16: YVWRS52R7LWBQAEP · pith_short_8: YVWRS52R

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/YVWRS52R7LWBQAEPN3RUQVIFD3 \
  | 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: c56d197751faec18008f6ee34855051ec8bd93201ee9f838b72e0bb9c052e7a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d03f35fe9b57890ad72f3e314c5faf6ffa0c505419344883f7324991f23c8dbd",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2011-09-28T17:39:07Z",
    "title_canon_sha256": "b96aa554079eb06e8cafedba61d7ee7e22d7e5e71a32bfad00b8e01f78773f8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6279",
    "kind": "arxiv",
    "version": 1
  }
}