Pith Number

pith:HKNNQIYM

pith:2015:HKNNQIYMH7JNKKJVJGHMMV7BFU

not attested not anchored not stored refs pending

Polynomial Root Isolation by Means of Root Radii Approximation

Liang Zhao, Victor Y. Pan

arxiv:1501.05386 v5 · 2015-01-22 · 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{HKNNQIYMH7JNKKJVJGHMMV7BFU}

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	2026-05-18T01:49:55.747795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a9ad8230c3fd2d52935498ec657e12d05bd5760b72ce13b9f972b1cf1edb210

Aliases

arxiv: 1501.05386 · arxiv_version: 1501.05386v5 · doi: 10.48550/arxiv.1501.05386 · pith_short_12: HKNNQIYMH7JN · pith_short_16: HKNNQIYMH7JNKKJV · pith_short_8: HKNNQIYM

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/HKNNQIYMH7JNKKJVJGHMMV7BFU \
  | 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: 3a9ad8230c3fd2d52935498ec657e12d05bd5760b72ce13b9f972b1cf1edb210

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32639c6009f593082ba9ee23fa2ec15aec669792bde71502c5561d513f78b9ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-01-22T04:19:00Z",
    "title_canon_sha256": "6ef58a95008ae64aa35b80a68626d5daa9763126e41c93efbaf336ea39035542"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05386",
    "kind": "arxiv",
    "version": 5
  }
}