Pith Number

pith:HONAFZ4H

pith:2012:HONAFZ4HFOKJMHDLZVSICCKMBW

not attested not anchored not stored refs pending

An application of proof mining to nonlinear iterations

Laurentiu Leustean

arxiv:1211.2991 v4 · 2012-11-13 · math.LO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HONAFZ4HFOKJMHDLZVSICCKMBW}

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	2026-05-18T02:57:06.886602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b9a02e7872b94961c6bcd6481094c0d8b98ec173056848c040acb1c83ce5a96

Aliases

arxiv: 1211.2991 · arxiv_version: 1211.2991v4 · doi: 10.48550/arxiv.1211.2991 · pith_short_12: HONAFZ4HFOKJ · pith_short_16: HONAFZ4HFOKJMHDL · pith_short_8: HONAFZ4H

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/HONAFZ4HFOKJMHDLZVSICCKMBW \
  | 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: 3b9a02e7872b94961c6bcd6481094c0d8b98ec173056848c040acb1c83ce5a96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa2d0116eed17c89ef370d6fd93e0d3fceecc56fac97d4cfd77ddcff367a2ff5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-11-13T13:45:00Z",
    "title_canon_sha256": "91608a93d04f9a95eb88acae9b6df54de52326b33402fbf7799456ce740ad683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2991",
    "kind": "arxiv",
    "version": 4
  }
}