Pith Number

pith:6XWO7END

pith:2008:6XWO7ENDLI3M42QCW2QGXAEISL

not attested not anchored not stored refs pending

Non-singular affine surfaces with self-maps

De-Qi Zhang, R.V. Gurjar

arxiv:0802.4323 v1 · 2008-02-29 · 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{6XWO7ENDLI3M42QCW2QGXAEISL}

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	2026-05-18T00:12:58.965532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5ecef91a35a36ce6a02b6a06b808892d1fd7545c81e60a6a9e6586f0856ae31

Aliases

arxiv: 0802.4323 · arxiv_version: 0802.4323v1 · doi: 10.48550/arxiv.0802.4323 · pith_short_12: 6XWO7ENDLI3M · pith_short_16: 6XWO7ENDLI3M42QC · pith_short_8: 6XWO7END

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/6XWO7ENDLI3M42QCW2QGXAEISL \
  | 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: f5ecef91a35a36ce6a02b6a06b808892d1fd7545c81e60a6a9e6586f0856ae31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "414085f9ea429c93d9b9d399935b74dcc8e44ddd4d0fd88d8fdb002cb90dcc88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-02-29T05:01:12Z",
    "title_canon_sha256": "5a57f4c3ca256e9f17a9edb30f281226c988bebe775dd0401cb253a22879b628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.4323",
    "kind": "arxiv",
    "version": 1
  }
}