Pith Number

pith:7AM3ZNQO

pith:2012:7AM3ZNQOAQTBKLFIBDKCUGJPSF

not attested not anchored not stored refs pending

Moduli of products of stable varieties

Bhargav Bhatt, Christian Schnell, Wei Ho, Zsolt Patakfalvi

arxiv:1206.0438 v1 · 2012-06-03 · 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{7AM3ZNQOAQTBKLFIBDKCUGJPSF}

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	2026-05-17T23:53:18.677452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f819bcb60e0426152ca808d42a192f91683a912a54a9bfbc949b141b82474b20

Aliases

arxiv: 1206.0438 · arxiv_version: 1206.0438v1 · doi: 10.48550/arxiv.1206.0438 · pith_short_12: 7AM3ZNQOAQTB · pith_short_16: 7AM3ZNQOAQTBKLFI · pith_short_8: 7AM3ZNQO

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/7AM3ZNQOAQTBKLFIBDKCUGJPSF \
  | 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: f819bcb60e0426152ca808d42a192f91683a912a54a9bfbc949b141b82474b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "656bb5e7cdb9bb79dba90c31ca100ca268084de671a92807b398eb10a2d6e714",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-03T12:57:44Z",
    "title_canon_sha256": "b9d546b5ff87b5c0fa467b14911821614a6b8370bd1f70aefa96b9bead60c4d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0438",
    "kind": "arxiv",
    "version": 1
  }
}