Pith Number

pith:S7NFKCNG

pith:2026:S7NFKCNGGPUSR3ZX7R6JG6EFPO

not attested not anchored not stored refs pending

The reverse mathematics of the Ordered Variable Word theorem

Ludovic Patey, Lu Liu

arxiv:2606.12962 v1 · 2026-06-11 · 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{S7NFKCNGGPUSR3ZX7R6JG6EFPO}

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.

Cited by

1 paper in Pith

The finite big Ramsey degrees of Henson graphs are provable in $\mathrm{ACA}_0$

Receipt and verification

First computed	2026-06-12T01:09:35.594884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97da5509a633e928ef37fc7c9378857ba244f48f419320a0334dafc4b1947d29

Aliases

arxiv: 2606.12962 · arxiv_version: 2606.12962v1 · doi: 10.48550/arxiv.2606.12962 · pith_short_12: S7NFKCNGGPUS · pith_short_16: S7NFKCNGGPUSR3ZX · pith_short_8: S7NFKCNG

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/S7NFKCNGGPUSR3ZX7R6JG6EFPO \
  | 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: 97da5509a633e928ef37fc7c9378857ba244f48f419320a0334dafc4b1947d29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acea1aa0e8053c47085d5933d7a0644ed1949e4a78369e2d835a2fbbd419e653",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-06-11T06:47:34Z",
    "title_canon_sha256": "101702c73eb2dbad1a3418175b26a3a0b7c1ef9656ac9162ba18457a37ee3da8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12962",
    "kind": "arxiv",
    "version": 1
  }
}