Pith Number

pith:Y4BJ5JOA

pith:2011:Y4BJ5JOAWKCXRIU3IGOITNBOAR

not attested not anchored not stored refs pending

Probabilist Set Inversion using a new framework for interval arithmetic

Abdelouahab Kenoufi, Michel Goze, Nicolas Goze

arxiv:1111.0167 v2 · 2011-11-01 · 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{Y4BJ5JOAWKCXRIU3IGOITNBOAR}

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	2026-05-18T04:07:06.404130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7029ea5c0b28578a29b419c89b42e046b4af6cd9e51198ac532044204948c70

Aliases

arxiv: 1111.0167 · arxiv_version: 1111.0167v2 · doi: 10.48550/arxiv.1111.0167 · pith_short_12: Y4BJ5JOAWKCX · pith_short_16: Y4BJ5JOAWKCXRIU3 · pith_short_8: Y4BJ5JOA

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/Y4BJ5JOAWKCXRIU3IGOITNBOAR \
  | 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: c7029ea5c0b28578a29b419c89b42e046b4af6cd9e51198ac532044204948c70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dd431f826c464c7c9c36e1594f14085eaafe63a0f4972fadc478684fa4d710f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-11-01T10:59:28Z",
    "title_canon_sha256": "f91316b19171dfab3ae05ebefcc298a4505ec0ad8e0e0aefa92b495aa2d4508e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0167",
    "kind": "arxiv",
    "version": 2
  }
}