Pith Number

pith:5XNL4NQZ

pith:2026:5XNL4NQZVX2OB6L6FELYZFJUAL

not attested not anchored not stored refs pending

$\Pi^0_4$ conservation of a Carlson-Simpson lemma for 1-variable words

Ludovic Patey, Quentin Le Hou\'erou

arxiv:2607.28116 v1 · 2026-07-30 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5XNL4NQZVX2OB6L6FELYZFJUAL}

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	2026-07-31T01:35:47.955161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

eddabe3619adf4e0f97e29178c953402d29246608a1cf6462aefdcc1bbb85fb9

Aliases

arxiv: 2607.28116 · arxiv_version: 2607.28116v1 · doi: 10.48550/arxiv.2607.28116 · pith_short_12: 5XNL4NQZVX2O · pith_short_16: 5XNL4NQZVX2OB6L6 · pith_short_8: 5XNL4NQZ

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/5XNL4NQZVX2OB6L6FELYZFJUAL \
  | 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: eddabe3619adf4e0f97e29178c953402d29246608a1cf6462aefdcc1bbb85fb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b4881cb55d55084e205b1b74cfb3cd04275df69cc4ee38f6380d0c6a1fe03a0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-07-30T12:24:42Z",
    "title_canon_sha256": "dd56620fef36ecddc85b08ec4fe4e1f2b6f851f750a1a913972cb7428acf7324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28116",
    "kind": "arxiv",
    "version": 1
  }
}