Pith Number

pith:JBYCLLTW

pith:2026:JBYCLLTWDFMWV5HFWBFP6TCETZ

not attested not anchored not stored refs pending

Case study: solving P-99 with LPTP and an LLM

\'Etienne Payet, Fred Mesnard, Thierry Marianne, Wim Vanhoof

arxiv:2607.21196 v1 · 2026-07-23 · cs.LO · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JBYCLLTWDFMWV5HFWBFP6TCETZ}

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	2026-07-24T01:24:18.580871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

487025ae7619596af4e5b04aff4c449e4c1535b393a8e73d222f906d745d5da7

Aliases

arxiv: 2607.21196 · arxiv_version: 2607.21196v1 · doi: 10.48550/arxiv.2607.21196 · pith_short_12: JBYCLLTWDFMW · pith_short_16: JBYCLLTWDFMWV5HF · pith_short_8: JBYCLLTW

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/JBYCLLTWDFMWV5HFWBFP6TCETZ \
  | 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: 487025ae7619596af4e5b04aff4c449e4c1535b393a8e73d222f906d745d5da7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e4c718c870983cb5b776d8e345cdb999783199e877b9eed4b277f1f4aed71d1",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-07-23T11:17:58Z",
    "title_canon_sha256": "6f082e2afa50cb827eb0236e1e9fa3bd39290dc555e672bf5d3bd9893ea57919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21196",
    "kind": "arxiv",
    "version": 1
  }
}