Pith Number

pith:UJPEG42H

pith:2026:UJPEG42HWRC7N4QE2D5MK4YFU7

not attested not anchored not stored refs pending

Case study: proving sqrt(2) irrational with LPTP and an LLM

\'Etienne Payet, Fred Mesnard, Wim Vanhoof

arxiv:2607.21187 v1 · 2026-07-23 · cs.LO · cs.AI · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJPEG42HWRC7N4QE2D5MK4YFU7}

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	2026-07-24T01:24:18.067236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a25e437347b445f6f204d0fac57305a7ee4b65a2b98fca369408b3436ac3708d

Aliases

arxiv: 2607.21187 · arxiv_version: 2607.21187v1 · doi: 10.48550/arxiv.2607.21187 · pith_short_12: UJPEG42HWRC7 · pith_short_16: UJPEG42HWRC7N4QE · pith_short_8: UJPEG42H

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/UJPEG42HWRC7N4QE2D5MK4YFU7 \
  | 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: a25e437347b445f6f204d0fac57305a7ee4b65a2b98fca369408b3436ac3708d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9768c66a457ed93cd6a155e2f6c4179e02ecc6210da5b10a0b74e435e2b56a21",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.SC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-07-23T11:15:38Z",
    "title_canon_sha256": "7d1349d907a469de174efb5fe115d48ec67351f4426e622d6097aed28a215701"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21187",
    "kind": "arxiv",
    "version": 1
  }
}