Pith Number

pith:ILSNXQ5J

pith:2026:ILSNXQ5JPGDKE2IKTSZ2TUQKVR

not attested not anchored not stored refs pending

FormaTheoria: Constructing Large-Scale Lean Theories from Mathematical Literature $-$ Toward the Formalization of the Classification of Finite Simple Groups

Ao Zhang, Damiano Testa, Peng Li, Shing-Tung Yau, Tianjiao Nie, Yuan Zhou, Yusen Tang

arxiv:2608.10894 v1 · 2026-08-11 · cs.LO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILSNXQ5JPGDKE2IKTSZ2TUQKVR}

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	2026-08-12T01:23:45.375820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e4dbc3a97986a2690a9cb3a9d20aac77851bed406d9d659514b907180a55fb

Aliases

arxiv: 2608.10894 · arxiv_version: 2608.10894v1 · doi: 10.48550/arxiv.2608.10894 · pith_short_12: ILSNXQ5JPGDK · pith_short_16: ILSNXQ5JPGDKE2IK · pith_short_8: ILSNXQ5J

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/ILSNXQ5JPGDKE2IKTSZ2TUQKVR \
  | 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: 42e4dbc3a97986a2690a9cb3a9d20aac77851bed406d9d659514b907180a55fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29939b1199d29a2eb5c7c98026b9bab11d5635e871d781ddc2206fd29289c9d2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-08-11T13:13:11Z",
    "title_canon_sha256": "871f47c65b9b0eda3506d3d8888171ea5e2da5657c2f385554a1dd0a45bae3df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10894",
    "kind": "arxiv",
    "version": 1
  }
}