Pith Number

pith:E7B74BHD

pith:1994:E7B74BHDOOSVTPE33VRF5U4LFZ

not attested not anchored not stored refs pending

Boundedness and $K^2$ for log surfaces

Valery Alexeev

arxiv:alg-geom/9402007 v3 · 1994-02-09 · 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{E7B74BHDOOSVTPE33VRF5U4LFZ}

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	2026-05-18T00:50:31.604041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27c3fe04e373a559bc9bdd625ed38b2e4d933dba217fac1d56d33ba830410e0e

Aliases

arxiv: alg-geom/9402007 · arxiv_version: alg-geom/9402007v3 · doi: 10.48550/arxiv.alg-geom/9402007 · pith_short_12: E7B74BHDOOSV · pith_short_16: E7B74BHDOOSVTPE3 · pith_short_8: E7B74BHD

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/E7B74BHDOOSVTPE33VRF5U4LFZ \
  | 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: 27c3fe04e373a559bc9bdd625ed38b2e4d933dba217fac1d56d33ba830410e0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f2fca91b099cca6403dc209117c73a7a1c66d37c5d3033e3779cdf6e63b4cc2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "alg-geom",
    "submitted_at": "1994-02-09T00:58:27Z",
    "title_canon_sha256": "a5b590f8db6eece98f4694fcf04f303e2e6575cf3de9ef4c0238abd99b608488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9402007",
    "kind": "arxiv",
    "version": 3
  }
}