Pith Number

pith:53CY5JZV

pith:2012:53CY5JZVMAEWICACO5XLADUW3Z

not attested not anchored not stored refs pending

An explicit expression of the Luroth invariant

Christophe Ritzenthaler, Jeroen Sijsling, Reynald Lercier, Romain Basson

arxiv:1211.1327 v2 · 2012-11-06 · 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{53CY5JZVMAEWICACO5XLADUW3Z}

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	2026-05-18T02:29:39.361957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec58ea7356009640802776eb00e96de468eaf6082f3f08e55edeff7d220489b

Aliases

arxiv: 1211.1327 · arxiv_version: 1211.1327v2 · doi: 10.48550/arxiv.1211.1327 · pith_short_12: 53CY5JZVMAEW · pith_short_16: 53CY5JZVMAEWICAC · pith_short_8: 53CY5JZV

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/53CY5JZVMAEWICACO5XLADUW3Z \
  | 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: eec58ea7356009640802776eb00e96de468eaf6082f3f08e55edeff7d220489b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef69b00a5035ccdcf071d012d94d727694ef90d128c574f6c9035cfd36e1a5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-06T17:55:43Z",
    "title_canon_sha256": "bf4eb96b8a94a14da73dd58e15de01ce5884c9800e4d638be805b7a797b978da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1327",
    "kind": "arxiv",
    "version": 2
  }
}