Pith Number

pith:HKMGZLBZ

pith:2008:HKMGZLBZ6OMCYEULG62S4KPJTD

not attested not anchored not stored refs pending

The End Curve Theorem for normal complex surface singularities

Jonathan Wahl, Walter D Neumann

arxiv:0804.4644 v1 · 2008-04-29 · math.AG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKMGZLBZ6OMCYEULG62S4KPJTD}

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	2026-05-18T04:16:42.558381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a986cac39f3982c128b37b52e29e998c65c108e00d68835b301bf99fd35a37c

Aliases

arxiv: 0804.4644 · arxiv_version: 0804.4644v1 · doi: 10.48550/arxiv.0804.4644 · pith_short_12: HKMGZLBZ6OMC · pith_short_16: HKMGZLBZ6OMCYEUL · pith_short_8: HKMGZLBZ

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/HKMGZLBZ6OMCYEULG62S4KPJTD \
  | 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: 3a986cac39f3982c128b37b52e29e998c65c108e00d68835b301bf99fd35a37c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5f2070dd9f421e30fdd1d13acd8bd1fafedc2df0ca8b3848102747c473a3041",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-04-29T16:12:39Z",
    "title_canon_sha256": "9cf00a7b7dc73e5a14e5460f4979cec2c1109a7d38cc1ffad59d5bc4b92e99b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.4644",
    "kind": "arxiv",
    "version": 1
  }
}