Pith Number

pith:WZTPFSAZ

pith:1994:WZTPFSAZX4YH5FAX3S3LTZCMF3

not attested not anchored not stored refs pending

Moduli spaces $M_{g,n}(W)$ for surfaces

Valery Alexeev

arxiv:alg-geom/9410003 v1 · 1994-10-05 · alg-geom · 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{WZTPFSAZX4YH5FAX3S3LTZCMF3}

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	2026-05-18T01:37:43.133835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b666f2c819bf307e9417dcb6b9e44c2eef734b9efd9084f5ac7a29323e6f350a

Aliases

arxiv: alg-geom/9410003 · arxiv_version: alg-geom/9410003v1 · doi: 10.48550/arxiv.alg-geom/9410003 · pith_short_12: WZTPFSAZX4YH · pith_short_16: WZTPFSAZX4YH5FAX · pith_short_8: WZTPFSAZ

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/WZTPFSAZX4YH5FAX3S3LTZCMF3 \
  | 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: b666f2c819bf307e9417dcb6b9e44c2eef734b9efd9084f5ac7a29323e6f350a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f583618657d40c1b0b115fcc25f0a9427bab76067b99a8f2908ff293b91955",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1994-10-05T11:27:39Z",
    "title_canon_sha256": "bd1e9b6ec036e5801230711e8f48bbbd330f32c417d5761b93ef1d360b1d5ce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9410003",
    "kind": "arxiv",
    "version": 1
  }
}