Pith Number

pith:MXCOFPYX

pith:2012:MXCOFPYXGW6PJDC7SLDXQMT6AV

not attested not anchored not stored refs pending

Real root refinements for univariate polynomial equations

Ye Liang

arxiv:1211.4332 v1 · 2012-11-19 · 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{MXCOFPYXGW6PJDC7SLDXQMT6AV}

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	2026-05-18T03:40:27.256058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c4e2bf1735bcf48c5f92c778327e057086f38f537eebf422cb1c70d3a14ded

Aliases

arxiv: 1211.4332 · arxiv_version: 1211.4332v1 · doi: 10.48550/arxiv.1211.4332 · pith_short_12: MXCOFPYXGW6P · pith_short_16: MXCOFPYXGW6PJDC7 · pith_short_8: MXCOFPYX

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/MXCOFPYXGW6PJDC7SLDXQMT6AV \
  | 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: 65c4e2bf1735bcf48c5f92c778327e057086f38f537eebf422cb1c70d3a14ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6bb0bf67fa9ec0175adcb04e69a5fb5f490d38a83ab41489a02e0dae6f7b81d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2012-11-19T08:30:30Z",
    "title_canon_sha256": "afbe689083f54e7daa8a1e7c8318977f1c96c1377294c70d271df319d773c28f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4332",
    "kind": "arxiv",
    "version": 1
  }
}