Pith Number

pith:G5FCK4SW

pith:2017:G5FCK4SWI3E7XMI2JZDIOWZQ4R

not attested not anchored not stored refs pending

The Projective Height Zero Conjecture

Gabriel Navarro, Gunter Malle

arxiv:1712.08331 v1 · 2017-12-22 · math.RT · 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{G5FCK4SWI3E7XMI2JZDIOWZQ4R}

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	2026-05-18T00:27:23.812485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

374a25725646c9fbb11a4e46875b30e47b695fc66d5a0d2e3826c0ad73c90b87

Aliases

arxiv: 1712.08331 · arxiv_version: 1712.08331v1 · doi: 10.48550/arxiv.1712.08331 · pith_short_12: G5FCK4SWI3E7 · pith_short_16: G5FCK4SWI3E7XMI2 · pith_short_8: G5FCK4SW

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/G5FCK4SWI3E7XMI2JZDIOWZQ4R \
  | 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: 374a25725646c9fbb11a4e46875b30e47b695fc66d5a0d2e3826c0ad73c90b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54b53eca5b997c22d4434bdd49670a6f8f8ef388c2d8c40746c7cb643e1e320",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-12-22T07:47:31Z",
    "title_canon_sha256": "ed1bdaa3210efe3f6a243ed9bcf91558a24f470a34f5a6b6104952bddfe97de8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08331",
    "kind": "arxiv",
    "version": 1
  }
}