Pith Number

pith:4CZNLXP4

pith:2018:4CZNLXP47KARIXGAS5FFG7VYOV

not attested not anchored not stored refs pending

Finite quasisimple groups acting on rationally connected threefolds

Alexander Duncan, Ivan Cheltsov, J\'er\'emy Blanc, Yuri Prokhorov

arxiv:1809.09226 v1 · 2018-09-24 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CZNLXP47KARIXGAS5FFG7VYOV}

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	2026-05-18T00:04:53.994295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b2d5ddfcfa81145cc0974a537eb875719d9d0a795f9615dcc0d8f22a3975bf

Aliases

arxiv: 1809.09226 · arxiv_version: 1809.09226v1 · doi: 10.48550/arxiv.1809.09226 · pith_short_12: 4CZNLXP47KAR · pith_short_16: 4CZNLXP47KARIXGA · pith_short_8: 4CZNLXP4

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/4CZNLXP47KARIXGAS5FFG7VYOV \
  | 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: e0b2d5ddfcfa81145cc0974a537eb875719d9d0a795f9615dcc0d8f22a3975bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7504c9c10b57f0b3740dc27385e57c4d77b1735b95a78d73c783224999f99cc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-24T21:13:29Z",
    "title_canon_sha256": "aec54371c145db708b80c56c3f4eb0b30719f31c0c66c44e004fb37f7bbc9722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09226",
    "kind": "arxiv",
    "version": 1
  }
}