Pith Number

pith:F2HVK4SC

pith:1999:F2HVK4SCR5TJBLHT2NJSZHI6WI

not attested not anchored not stored refs pending

Kawamata-Viehweg vanishing and quint-canonical map of a Complex threefold

Meng Chen (Tongji University, Shanghai)

arxiv:math/9901031 v1 · 1999-01-07 · 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{F2HVK4SCR5TJBLHT2NJSZHI6WI}

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	2026-05-18T01:05:33.414646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e8f5572428f6690acf3d3532c9d1eb22c4733727d18b8b3bcae812c2d54cdfd

Aliases

arxiv: math/9901031 · arxiv_version: math/9901031v1 · doi: 10.48550/arxiv.math/9901031 · pith_short_12: F2HVK4SCR5TJ · pith_short_16: F2HVK4SCR5TJBLHT · pith_short_8: F2HVK4SC

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/F2HVK4SCR5TJBLHT2NJSZHI6WI \
  | 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: 2e8f5572428f6690acf3d3532c9d1eb22c4733727d18b8b3bcae812c2d54cdfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "303ca3f2afacb26597aa7fdb2166a58560e64c168cdea03be07739c24069b13e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-01-07T12:58:23Z",
    "title_canon_sha256": "a2f64f0982cf25cfdb637f39042c8e9b6f5ca52295f95042b92ebe1605c4abc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9901031",
    "kind": "arxiv",
    "version": 1
  }
}