Pith Number

pith:4FIBUKWS

pith:2013:4FIBUKWS3VPWEZTPX564GCKEWT

not attested not anchored not stored refs pending

A Nadel vanishing theorem for metrics with minimal singularities on big line bundles

Shin-ichi Matsumura

arxiv:1306.2497 v3 · 2013-06-11 · math.CV · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FIBUKWS3VPWEZTPX564GCKEWT}

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	2026-05-18T01:27:05.854986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1501a2ad2dd5f62666fbf7dc30944b4ec8111ef9c061fa88f25b4ab83430b3b

Aliases

arxiv: 1306.2497 · arxiv_version: 1306.2497v3 · doi: 10.48550/arxiv.1306.2497 · pith_short_12: 4FIBUKWS3VPW · pith_short_16: 4FIBUKWS3VPWEZTP · pith_short_8: 4FIBUKWS

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/4FIBUKWS3VPWEZTPX564GCKEWT \
  | 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: e1501a2ad2dd5f62666fbf7dc30944b4ec8111ef9c061fa88f25b4ab83430b3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b6283746057c0b8570a7a9076d9f8c9059ff3641df20a89fc8b5802f6525b0c",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-06-11T12:05:21Z",
    "title_canon_sha256": "69d36e31f464396e90334264c5ce91dda4db422b027d5a31dcc0fd3bdc9b472a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2497",
    "kind": "arxiv",
    "version": 3
  }
}