Pith Number

pith:ZX7HEJQE

pith:2010:ZX7HEJQEAG4DR35YOQL55MRYIN

not attested not anchored not stored refs pending

Arithmetic Moduli and Lifting of Enriques Surfaces

Christian Liedtke

arxiv:1007.0787 v2 · 2010-07-06 · 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{ZX7HEJQEAG4DR35YOQL55MRYIN}

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	2026-05-18T01:34:30.352171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdfe72260401b838efb87417deb238436a16c8483fc548849f5b18818a2b8b67

Aliases

arxiv: 1007.0787 · arxiv_version: 1007.0787v2 · doi: 10.48550/arxiv.1007.0787 · pith_short_12: ZX7HEJQEAG4D · pith_short_16: ZX7HEJQEAG4DR35Y · pith_short_8: ZX7HEJQE

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/ZX7HEJQEAG4DR35YOQL55MRYIN \
  | 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: cdfe72260401b838efb87417deb238436a16c8483fc548849f5b18818a2b8b67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66d99d1343678fc738397c72fb2a9aa6932e099b5beef208838570051b89c550",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-06T00:35:20Z",
    "title_canon_sha256": "9e218fa94b31677f497bdf2bf1cf03e1fda6f251720e3fd6a30cedba923294ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0787",
    "kind": "arxiv",
    "version": 2
  }
}