Pith Number

pith:UJGKUZOP

pith:2016:UJGKUZOPMGHKIFLJONJYQEXD2C

not attested not anchored not stored refs pending

Fast and backward stable computation of roots of polynomials, Part II: backward error analysis; companion matrix and companion pencil

David S. Watkins, Jared L. Aurentz, Leonardo Robol, Raf Vandebril, Thomas Mach

arxiv:1611.02435 v3 · 2016-11-08 · 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{UJGKUZOPMGHKIFLJONJYQEXD2C}

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	2026-05-18T00:10:24.625264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24caa65cf618ea4156973538812e3d09857051464c58029a07be9b122c6857c

Aliases

arxiv: 1611.02435 · arxiv_version: 1611.02435v3 · doi: 10.48550/arxiv.1611.02435 · pith_short_12: UJGKUZOPMGHK · pith_short_16: UJGKUZOPMGHKIFLJ · pith_short_8: UJGKUZOP

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/UJGKUZOPMGHKIFLJONJYQEXD2C \
  | 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: a24caa65cf618ea4156973538812e3d09857051464c58029a07be9b122c6857c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8acce21b7fefcc5839d598756dc39f6f0028218b22a0fb7824ea773ea7ce3fd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-11-08T09:11:52Z",
    "title_canon_sha256": "6e879e50dda07d7c455ac4d8702864b74c445d0c5c4b52bb955c4f9da827c8de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02435",
    "kind": "arxiv",
    "version": 3
  }
}