Pith Number

pith:PMBRX3OW

pith:2016:PMBRX3OWHMDLGMQQ6KTDK5FSZJ

not attested not anchored not stored refs pending

Accurate Quotient-Difference algorithm: error analysis, improvements and applications

Hao Jiang, Lizhi Cheng, Peibing Du, Roberto Barrio

arxiv:1606.08960 v2 · 2016-06-29 · 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{PMBRX3OWHMDLGMQQ6KTDK5FSZJ}

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	2026-05-18T00:50:35.567499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b031bedd63b06b33210f2a63574b2ca5be470e73ef9d05a324bab66f7e77d02

Aliases

arxiv: 1606.08960 · arxiv_version: 1606.08960v2 · doi: 10.48550/arxiv.1606.08960 · pith_short_12: PMBRX3OWHMDL · pith_short_16: PMBRX3OWHMDLGMQQ · pith_short_8: PMBRX3OW

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/PMBRX3OWHMDLGMQQ6KTDK5FSZJ \
  | 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: 7b031bedd63b06b33210f2a63574b2ca5be470e73ef9d05a324bab66f7e77d02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bbf960c06e3166e044d49996d2f1f428d0cd8cfb730bbea48df5d070f6063c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-06-29T05:45:29Z",
    "title_canon_sha256": "9a83d021e58a1109dfd3ef9f1917544631604ff7fe8520c9c86e973116806cc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08960",
    "kind": "arxiv",
    "version": 2
  }
}