Pith Number

pith:WCTKWEA5

pith:2011:WCTKWEA5ASGGVYQMZASRNSCMYT

not attested not anchored not stored refs pending

Asymptotic cohomology vanishing and a converse to the Andreotti-Grauert theorem on surfaces

Shin-ichi Matsumura

arxiv:1104.5313 v2 · 2011-04-28 · math.CV · 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{WCTKWEA5ASGGVYQMZASRNSCMYT}

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	2026-05-18T03:36:25.363323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a6ab101d048c6ae20cc82516c84cc4e6a34f8b3af6d91a9bf52bb7456912ba

Aliases

arxiv: 1104.5313 · arxiv_version: 1104.5313v2 · doi: 10.48550/arxiv.1104.5313 · pith_short_12: WCTKWEA5ASGG · pith_short_16: WCTKWEA5ASGGVYQM · pith_short_8: WCTKWEA5

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/WCTKWEA5ASGGVYQMZASRNSCMYT \
  | 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: b0a6ab101d048c6ae20cc82516c84cc4e6a34f8b3af6d91a9bf52bb7456912ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26396966062ec79d7ac84c0ad187c3b47cd4a9db09ea17bf8e2f83e7b8749664",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-04-28T07:10:12Z",
    "title_canon_sha256": "2bc4709a9aa655e5d66d945956528426ffd68d4e6fdd0b52fdda704204afeece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5313",
    "kind": "arxiv",
    "version": 2
  }
}