Pith Number

pith:EGB6ET7F

pith:2000:EGB6ET7FVMEOEPPUB5CL2HOLO4

not attested not anchored not stored refs pending

Divisorial contractions in dimension three which contract divisors to smooth points

Masayuki Kawakita

arxiv:math/0005207 v2 · 2000-05-22 · 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{EGB6ET7FVMEOEPPUB5CL2HOLO4}

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	2026-07-04T16:21:13.110328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2183e24fe5ab08e23df40f44bd1dcb770f5bf20f67ded05bf949b6c5ef29e7f6

Aliases

arxiv: math/0005207 · arxiv_version: math/0005207v2 · doi: 10.48550/arxiv.math/0005207 · pith_short_12: EGB6ET7FVMEO · pith_short_16: EGB6ET7FVMEOEPPU · pith_short_8: EGB6ET7F

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/EGB6ET7FVMEOEPPUB5CL2HOLO4 \
  | 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: 2183e24fe5ab08e23df40f44bd1dcb770f5bf20f67ded05bf949b6c5ef29e7f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6167562bcaf7e21a1ab1a508ca9a63fc8d4669895b20d2aae8e7354cb66f51a4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-05-22T12:39:15Z",
    "title_canon_sha256": "2489e82a1291b72ed3f2a2347a00a59761947d3f7118d113b08b74dc343e0bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005207",
    "kind": "arxiv",
    "version": 2
  }
}