Pith Number

pith:MKNVBIWX

pith:2010:MKNVBIWXIEVXG5BGCYATEO3QYN

not attested not anchored not stored refs pending

Ackermannian and Primitive-Recursive Bounds with Dickson's Lemma

Diego Figueira, Philippe Schnoebelen, Santiago Figueira, Sylvain Schmitz

arxiv:1007.2989 v3 · 2010-07-18 · cs.LO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKNVBIWXIEVXG5BGCYATEO3QYN}

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	2026-05-18T04:17:25.094842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629b50a2d7412b7374261601323b70c36462294c6fdf10c1b035097b204ebf26

Aliases

arxiv: 1007.2989 · arxiv_version: 1007.2989v3 · doi: 10.48550/arxiv.1007.2989 · pith_short_12: MKNVBIWXIEVX · pith_short_16: MKNVBIWXIEVXG5BG · pith_short_8: MKNVBIWX

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/MKNVBIWXIEVXG5BGCYATEO3QYN \
  | 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: 629b50a2d7412b7374261601323b70c36462294c6fdf10c1b035097b204ebf26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ba3803befb4b5b7abc611416adcdfa889345ebb6f2b1a202f9b8e71098f8805",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2010-07-18T11:14:16Z",
    "title_canon_sha256": "5fd394c0c20cada6a3b7ca82165b939fa5db5fa84ab4185763d4c4160d935130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2989",
    "kind": "arxiv",
    "version": 3
  }
}