Pith Number

pith:Q4OUZX25

pith:1993:Q4OUZX25MI7G2BQJZQFQAJ3B26

not attested not anchored not stored refs pending

On the Hyperbolicity of the Complements of Curves in Algebraic Surfaces: The Three Component Case

Georg Schumacher, Gerd Dethloff, Pit-Mann Wong

arxiv:alg-geom/9312008 v1 · 1993-12-14 · alg-geom · 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{Q4OUZX25MI7G2BQJZQFQAJ3B26}

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	2026-05-18T02:32:31.878435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

871d4cdf5d623e6d0609cc0b002761d79821b931b08c6e8fd6039f37c4509ef9

Aliases

arxiv: alg-geom/9312008 · arxiv_version: alg-geom/9312008v1 · doi: 10.48550/arxiv.alg-geom/9312008 · pith_short_12: Q4OUZX25MI7G · pith_short_16: Q4OUZX25MI7G2BQJ · pith_short_8: Q4OUZX25

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/Q4OUZX25MI7G2BQJZQFQAJ3B26 \
  | 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: 871d4cdf5d623e6d0609cc0b002761d79821b931b08c6e8fd6039f37c4509ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247544af86b6a937e7b5282fe19b3d9f33d44b0e5f1aee9f6a126262e2266cde",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1993-12-14T13:06:20Z",
    "title_canon_sha256": "ff08f799172e6fa7600a028c4ec6d3e980875a4d7bfe9fee825947a8ae5554d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9312008",
    "kind": "arxiv",
    "version": 1
  }
}