Pith Number

pith:VZ4ZNKRY

pith:2017:VZ4ZNKRYV6YKIFYBMLVNGZ6D5B

not attested not anchored not stored refs pending

Doubly Hurwitz Beauville groups

Emilio Pierro, Gareth A. Jones

arxiv:1709.09441 v1 · 2017-09-27 · math.GR · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZ4ZNKRYV6YKIFYBMLVNGZ6D5B}

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	2026-05-18T00:34:11.731061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae7996aa38afb0a4170162ead367c3e85d8bce48a0d4145456c874343796f2e8

Aliases

arxiv: 1709.09441 · arxiv_version: 1709.09441v1 · doi: 10.48550/arxiv.1709.09441 · pith_short_12: VZ4ZNKRYV6YK · pith_short_16: VZ4ZNKRYV6YKIFYB · pith_short_8: VZ4ZNKRY

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/VZ4ZNKRYV6YKIFYBMLVNGZ6D5B \
  | 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: ae7996aa38afb0a4170162ead367c3e85d8bce48a0d4145456c874343796f2e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66a4c4d56c44d17c17200f0d8206e09e1b94cc2a93fad6e6f36ff6c7629247b4",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-27T10:42:15Z",
    "title_canon_sha256": "5955119fd406588f54cf35d2b8597979e526ace21fe226809ce72b58182d9894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09441",
    "kind": "arxiv",
    "version": 1
  }
}