Pith Number

pith:RPMJAXJY

pith:2025:RPMJAXJYZPWHJBJ4MLL5DCDIEF

not attested not anchored not stored refs pending

Tightness and solidity in fragments of Peano Arithmetic

Leszek Aleksander Ko{\l}odziejczyk, Mateusz {\L}e{\l}yk, Piotr Gruza

arxiv:2512.09120 v2 · 2025-12-09 · 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{RPMJAXJYZPWHJBJ4MLL5DCDIEF}

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	2026-06-26T00:15:24.342435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bd8905d38cbec74853c62d7d18868217394abdbae3eb1439722e4f1f2e982e1

Aliases

arxiv: 2512.09120 · arxiv_version: 2512.09120v2 · doi: 10.48550/arxiv.2512.09120 · pith_short_12: RPMJAXJYZPWH · pith_short_16: RPMJAXJYZPWHJBJ4 · pith_short_8: RPMJAXJY

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/RPMJAXJYZPWHJBJ4MLL5DCDIEF \
  | 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: 8bd8905d38cbec74853c62d7d18868217394abdbae3eb1439722e4f1f2e982e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75c21c92e585e32b784c32e81639710cdfa1a7fd8bdc0568fe324043e997f3d4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-12-09T21:01:56Z",
    "title_canon_sha256": "d3b5d8d1c8e3fe374396e5ac9ee58d04cce4f27ac9d7a163b958ff8de90bb1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.09120",
    "kind": "arxiv",
    "version": 2
  }
}