Pith Number

pith:WRQTSNNV

pith:2006:WRQTSNNVZNIPQGQSIXVN4SVQCI

not attested not anchored not stored refs pending

On the extendability of projective surfaces and a genus bound for Enriques-Fano threefolds

A.F. Lopez, A.L. Knutsen, R. Mu\~noz

arxiv:math/0605750 v2 · 2006-05-30 · 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{WRQTSNNVZNIPQGQSIXVN4SVQCI}

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	2026-05-18T01:08:50.222561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4613935b5cb50f81a1245eade4ab0121979cb38815729f4f2125087d14f367d

Aliases

arxiv: math/0605750 · arxiv_version: math/0605750v2 · doi: 10.48550/arxiv.math/0605750 · pith_short_12: WRQTSNNVZNIP · pith_short_16: WRQTSNNVZNIPQGQS · pith_short_8: WRQTSNNV

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/WRQTSNNVZNIPQGQSIXVN4SVQCI \
  | 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: b4613935b5cb50f81a1245eade4ab0121979cb38815729f4f2125087d14f367d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa3bf3a49b94ea991c21ec73b342b7c30a57b51dd230d98f8318aacbe0b88158",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-05-30T09:52:28Z",
    "title_canon_sha256": "320214eb3c1db697693091d251a68b9c2415918ddcb92577fb1799bf23a23c00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605750",
    "kind": "arxiv",
    "version": 2
  }
}