Pith Number

pith:A2BKX7JY

pith:2013:A2BKX7JY4Z2XWMYEZ7YOHXKCZ4

not attested not anchored not stored refs pending

A Generic Position Based Method for Real Root Isolation of Zero-Dimensional Polynomial Systems

Jin-San Cheng, Kai Jin

arxiv:1312.0462 v1 · 2013-12-02 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A2BKX7JY4Z2XWMYEZ7YOHXKCZ4}

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	2026-05-18T03:05:45.621397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0682abfd38e6757b3304cff0e3dd42cf36680611437af9cb2827203954c460bc

Aliases

arxiv: 1312.0462 · arxiv_version: 1312.0462v1 · doi: 10.48550/arxiv.1312.0462 · pith_short_12: A2BKX7JY4Z2X · pith_short_16: A2BKX7JY4Z2XWMYE · pith_short_8: A2BKX7JY

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/A2BKX7JY4Z2XWMYEZ7YOHXKCZ4 \
  | 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: 0682abfd38e6757b3304cff0e3dd42cf36680611437af9cb2827203954c460bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eff434fe57fc57e53116fff2fd5a181b8f4cb106547dd859d220b7c98295b6e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2013-12-02T14:05:16Z",
    "title_canon_sha256": "3e851648968c53732ff7b029a854982942c623ec0ea4f5e36cc25692ecf7e2b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0462",
    "kind": "arxiv",
    "version": 1
  }
}