Pith Number

pith:QKCIERJZ

pith:2009:QKCIERJZX7ND5DXDPT5L6ZJ5VN

not attested not anchored not stored refs pending

Algebraic Surfaces in Positive Characteristic

Christian Liedtke

arxiv:0912.4291 v4 · 2009-12-21 · 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{QKCIERJZX7ND5DXDPT5L6ZJ5VN}

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	2026-05-18T02:32:22.841470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8284824539bfda3e8ee37cfabf653dab475708402ab7888cb984efbe78fef527

Aliases

arxiv: 0912.4291 · arxiv_version: 0912.4291v4 · doi: 10.48550/arxiv.0912.4291 · pith_short_12: QKCIERJZX7ND · pith_short_16: QKCIERJZX7ND5DXD · pith_short_8: QKCIERJZ

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/QKCIERJZX7ND5DXDPT5L6ZJ5VN \
  | 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: 8284824539bfda3e8ee37cfabf653dab475708402ab7888cb984efbe78fef527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31d002c0fa65078ae02b59cb3b40d88e85e9c59be9b1094ab6641cb8b2d1bdbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-21T23:20:00Z",
    "title_canon_sha256": "6257e5eac726956b5717f310649d743df13ccf5f66b04f36a7c538ae0ac64da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4291",
    "kind": "arxiv",
    "version": 4
  }
}