Pith Number

pith:75NJHEAS

pith:2016:75NJHEAS6OJTPFUDBZKHUTVHPP

not attested not anchored not stored refs pending

Koll\'ar--Nadel type vanishing theorem

Osamu Fujino

arxiv:1607.04684 v1 · 2016-07-15 · 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{75NJHEAS6OJTPFUDBZKHUTVHPP}

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	2026-05-18T01:10:56.987339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff5a939012f3933796830e547a4ea77be9a0382252abf8ee75fca2599eb4104d

Aliases

arxiv: 1607.04684 · arxiv_version: 1607.04684v1 · doi: 10.48550/arxiv.1607.04684 · pith_short_12: 75NJHEAS6OJT · pith_short_16: 75NJHEAS6OJTPFUD · pith_short_8: 75NJHEAS

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/75NJHEAS6OJTPFUDBZKHUTVHPP \
  | 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: ff5a939012f3933796830e547a4ea77be9a0382252abf8ee75fca2599eb4104d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "586cb9692dcb206dc8815a7f0a987d649c171ecd99cfeb1358c7007f6047c31f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-15T23:56:15Z",
    "title_canon_sha256": "e64749e5ce8218d44b2b523939725e9cb8f56d7c686323363ed950f9a6bd06e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04684",
    "kind": "arxiv",
    "version": 1
  }
}