Pith Number

pith:6LPBTLD6

pith:2012:6LPBTLD6KPQIGQ5W5JCTZ534XZ

not attested not anchored not stored refs pending

Numerical trivial automorphisms of Enriques surfaces in arbitrary characteristic

Igor V. Dolgachev

arxiv:1207.4431 v2 · 2012-07-18 · 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{6LPBTLD6KPQIGQ5W5JCTZ534XZ}

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	2026-05-18T03:46:48.819975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2de19ac7e53e08343b6ea453cf77cbe762adf242d4d4db8ce93b3cfc3e1a63a

Aliases

arxiv: 1207.4431 · arxiv_version: 1207.4431v2 · doi: 10.48550/arxiv.1207.4431 · pith_short_12: 6LPBTLD6KPQI · pith_short_16: 6LPBTLD6KPQIGQ5W · pith_short_8: 6LPBTLD6

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/6LPBTLD6KPQIGQ5W5JCTZ534XZ \
  | 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: f2de19ac7e53e08343b6ea453cf77cbe762adf242d4d4db8ce93b3cfc3e1a63a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1196083806824a17a67904ea367201be81d19c24c2c7fac132917b832a43c9a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-18T18:05:11Z",
    "title_canon_sha256": "c216e618a1cbd7b288d713ef74794ab0ef29673ffe22f879735e71c6528759a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4431",
    "kind": "arxiv",
    "version": 2
  }
}