Pith Number

pith:Y7Y2YZ2K

pith:2005:Y7Y2YZ2KTAGD7MXXU6RCBXMEG6

not attested not anchored not stored refs pending

Perfect forms and the moduli space of abelian varieties

N.I. Shepherd-Barron

arxiv:math/0502362 v1 · 2005-02-16 · 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{Y7Y2YZ2KTAGD7MXXU6RCBXMEG6}

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	2026-07-04T16:56:27.393023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7f1ac674a980c3fb2f7a7a220dd8437a4c4c080309d67d7e2964d3066d2c243

Aliases

arxiv: math/0502362 · arxiv_version: math/0502362v1 · doi: 10.48550/arxiv.math/0502362 · pith_short_12: Y7Y2YZ2KTAGD · pith_short_16: Y7Y2YZ2KTAGD7MXX · pith_short_8: Y7Y2YZ2K

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/Y7Y2YZ2KTAGD7MXXU6RCBXMEG6 \
  | 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: c7f1ac674a980c3fb2f7a7a220dd8437a4c4c080309d67d7e2964d3066d2c243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c0f451ceba0d3aa5a35a79f1c88fea069de530fbe5b8ffae96e220e5e9074c7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-02-16T19:40:16Z",
    "title_canon_sha256": "a6bc4ca1e785113916d8054b9db1a04de7674363f18e23643f9803d3adfa984f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502362",
    "kind": "arxiv",
    "version": 1
  }
}