Pith Number

pith:THXSOAAH

pith:2015:THXSOAAH3WXW4DHHNIPPMFCTM4

not attested not anchored not stored refs pending

A vanishing theorem of Koll'ar-Ohsawa type

Shin-ichi Matsumura

arxiv:1511.04222 v3 · 2015-11-13 · 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{THXSOAAH3WXW4DHHNIPPMFCTM4}

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	2026-05-18T00:25:06.009785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99ef270007ddaf6e0ce76a1ef6145367236fb548ece4ed08adaf40f059a80130

Aliases

arxiv: 1511.04222 · arxiv_version: 1511.04222v3 · doi: 10.48550/arxiv.1511.04222 · pith_short_12: THXSOAAH3WXW · pith_short_16: THXSOAAH3WXW4DHH · pith_short_8: THXSOAAH

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/THXSOAAH3WXW4DHHNIPPMFCTM4 \
  | 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: 99ef270007ddaf6e0ce76a1ef6145367236fb548ece4ed08adaf40f059a80130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e5d9c140b4475a3a9bafbf3f084e29104f23ad248177fe7c0dd74ad3931b13",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-11-13T10:13:14Z",
    "title_canon_sha256": "59af13c0571faa98e6fe6657853d2f627fcdd2252d53128843111f73a96f7cc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04222",
    "kind": "arxiv",
    "version": 3
  }
}