Pith Number

pith:2PCR522V

pith:2007:2PCR522VHBRK2EZIJIUFW6RGW5

not attested not anchored not stored refs pending

A transcendental approach to Koll\'ar's injectivity theorem

Osamu Fujino

arxiv:0704.0073 v3 · 2007-04-01 · 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{2PCR522VHBRK2EZIJIUFW6RGW5}

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	2026-05-18T04:01:00.375175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c51eeb553862ad13284a285b7a26b769901ca1cd46228c0bc5381e26fef295

Aliases

arxiv: 0704.0073 · arxiv_version: 0704.0073v3 · doi: 10.48550/arxiv.0704.0073 · pith_short_12: 2PCR522VHBRK · pith_short_16: 2PCR522VHBRK2EZI · pith_short_8: 2PCR522V

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/2PCR522VHBRK2EZIJIUFW6RGW5 \
  | 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: d3c51eeb553862ad13284a285b7a26b769901ca1cd46228c0bc5381e26fef295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea7239cc4e04564713406bee86443c7d3b58e89b53a561fef697801e2659d28d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-04-01T08:40:19Z",
    "title_canon_sha256": "6c218b0038caedbf223e8ba4a11172061a9e0347fe65f63ccc09a7747b1e9c2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.0073",
    "kind": "arxiv",
    "version": 3
  }
}