Pith Number

pith:YYBDZDX7

pith:2012:YYBDZDX75U4XRR3DSOQHLODKN4

not attested not anchored not stored refs pending

Sylvester versus Gundelfinger

Andries E. Brouwer, Mihaela Popoviciu

arxiv:1210.5318 v1 · 2012-10-19 · math.RT · 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{YYBDZDX75U4XRR3DSOQHLODKN4}

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	2026-05-18T03:42:45.558877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6023c8effed3978c76393a075b86a6f258f75aa0582c29d34bb47a85230c7ca

Aliases

arxiv: 1210.5318 · arxiv_version: 1210.5318v1 · doi: 10.48550/arxiv.1210.5318 · pith_short_12: YYBDZDX75U4X · pith_short_16: YYBDZDX75U4XRR3D · pith_short_8: YYBDZDX7

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/YYBDZDX75U4XRR3DSOQHLODKN4 \
  | 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: c6023c8effed3978c76393a075b86a6f258f75aa0582c29d34bb47a85230c7ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cb4c56538f007406de79dc3a8fcdd5521703d7fd6706c656b850ea4d4ecb7c8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-19T05:37:11Z",
    "title_canon_sha256": "5786593a4b010d76e4b85cd6db97a2b6faf1012a0c13860ce4440dffad1e2cc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5318",
    "kind": "arxiv",
    "version": 1
  }
}